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1 #+title: =CORTEX=
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2 #+author: Robert McIntyre
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3 #+email: rlm@mit.edu
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4 #+description: Using embodied AI to facilitate Artificial Imagination.
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5 #+keywords: AI, clojure, embodiment
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6 #+LaTeX_CLASS_OPTIONS: [nofloat]
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7
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8 * COMMENT templates
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9 #+caption:
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12 #+caption:
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13 #+name: name
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14 #+begin_listing clojure
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15 #+BEGIN_SRC clojure
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17 #+end_listing
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22 #+name: name
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23 #+ATTR_LaTeX: :width 10cm
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24 [[./images/aurellem-gray.png]]
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25
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26 #+caption:
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30 #+name: name
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31 #+begin_listing clojure
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32 #+BEGIN_SRC clojure
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33 #+END_SRC
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34 #+end_listing
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35
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36 #+caption:
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39 #+name: name
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40 #+ATTR_LaTeX: :width 10cm
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41 [[./images/aurellem-gray.png]]
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42
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43
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44 * COMMENT Empathy and Embodiment as problem solving strategies
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45
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46 By the end of this thesis, you will have seen a novel approach to
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47 interpreting video using embodiment and empathy. You will have also
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48 seen one way to efficiently implement empathy for embodied
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49 creatures. Finally, you will become familiar with =CORTEX=, a system
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50 for designing and simulating creatures with rich senses, which you
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51 may choose to use in your own research.
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52
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53 This is the core vision of my thesis: That one of the important ways
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54 in which we understand others is by imagining ourselves in their
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55 position and emphatically feeling experiences relative to our own
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56 bodies. By understanding events in terms of our own previous
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57 corporeal experience, we greatly constrain the possibilities of what
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58 would otherwise be an unwieldy exponential search. This extra
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59 constraint can be the difference between easily understanding what
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60 is happening in a video and being completely lost in a sea of
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61 incomprehensible color and movement.
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62
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63 ** Recognizing actions in video is extremely difficult
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64
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65 Consider for example the problem of determining what is happening
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66 in a video of which this is one frame:
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67
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68 #+caption: A cat drinking some water. Identifying this action is
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69 #+caption: beyond the state of the art for computers.
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70 #+ATTR_LaTeX: :width 7cm
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71 [[./images/cat-drinking.jpg]]
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72
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73 It is currently impossible for any computer program to reliably
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74 label such a video as ``drinking''. And rightly so -- it is a very
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75 hard problem! What features can you describe in terms of low level
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76 functions of pixels that can even begin to describe at a high level
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77 what is happening here?
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78
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79 Or suppose that you are building a program that recognizes chairs.
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80 How could you ``see'' the chair in figure \ref{hidden-chair}?
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81
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82 #+caption: The chair in this image is quite obvious to humans, but I
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83 #+caption: doubt that any modern computer vision program can find it.
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84 #+name: hidden-chair
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85 #+ATTR_LaTeX: :width 10cm
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86 [[./images/fat-person-sitting-at-desk.jpg]]
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87
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88 Finally, how is it that you can easily tell the difference between
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89 how the girls /muscles/ are working in figure \ref{girl}?
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90
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91 #+caption: The mysterious ``common sense'' appears here as you are able
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92 #+caption: to discern the difference in how the girl's arm muscles
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93 #+caption: are activated between the two images.
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94 #+name: girl
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95 #+ATTR_LaTeX: :width 7cm
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96 [[./images/wall-push.png]]
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97
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98 Each of these examples tells us something about what might be going
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99 on in our minds as we easily solve these recognition problems.
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100
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101 The hidden chairs show us that we are strongly triggered by cues
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102 relating to the position of human bodies, and that we can determine
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103 the overall physical configuration of a human body even if much of
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104 that body is occluded.
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105
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106 The picture of the girl pushing against the wall tells us that we
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107 have common sense knowledge about the kinetics of our own bodies.
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108 We know well how our muscles would have to work to maintain us in
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109 most positions, and we can easily project this self-knowledge to
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110 imagined positions triggered by images of the human body.
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111
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112 ** =EMPATH= neatly solves recognition problems
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113
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114 I propose a system that can express the types of recognition
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115 problems above in a form amenable to computation. It is split into
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116 four parts:
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117
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118 - Free/Guided Play :: The creature moves around and experiences the
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119 world through its unique perspective. Many otherwise
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120 complicated actions are easily described in the language of a
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121 full suite of body-centered, rich senses. For example,
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122 drinking is the feeling of water sliding down your throat, and
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123 cooling your insides. It's often accompanied by bringing your
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124 hand close to your face, or bringing your face close to water.
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125 Sitting down is the feeling of bending your knees, activating
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126 your quadriceps, then feeling a surface with your bottom and
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127 relaxing your legs. These body-centered action descriptions
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128 can be either learned or hard coded.
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129 - Posture Imitation :: When trying to interpret a video or image,
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130 the creature takes a model of itself and aligns it with
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131 whatever it sees. This alignment can even cross species, as
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132 when humans try to align themselves with things like ponies,
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133 dogs, or other humans with a different body type.
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134 - Empathy :: The alignment triggers associations with
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135 sensory data from prior experiences. For example, the
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136 alignment itself easily maps to proprioceptive data. Any
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137 sounds or obvious skin contact in the video can to a lesser
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138 extent trigger previous experience. Segments of previous
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139 experiences are stitched together to form a coherent and
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140 complete sensory portrait of the scene.
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141 - Recognition :: With the scene described in terms of first
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142 person sensory events, the creature can now run its
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143 action-identification programs on this synthesized sensory
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144 data, just as it would if it were actually experiencing the
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145 scene first-hand. If previous experience has been accurately
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146 retrieved, and if it is analogous enough to the scene, then
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147 the creature will correctly identify the action in the scene.
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148
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149 For example, I think humans are able to label the cat video as
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150 ``drinking'' because they imagine /themselves/ as the cat, and
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151 imagine putting their face up against a stream of water and
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152 sticking out their tongue. In that imagined world, they can feel
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153 the cool water hitting their tongue, and feel the water entering
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154 their body, and are able to recognize that /feeling/ as drinking.
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155 So, the label of the action is not really in the pixels of the
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156 image, but is found clearly in a simulation inspired by those
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157 pixels. An imaginative system, having been trained on drinking and
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158 non-drinking examples and learning that the most important
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159 component of drinking is the feeling of water sliding down one's
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160 throat, would analyze a video of a cat drinking in the following
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161 manner:
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162
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163 1. Create a physical model of the video by putting a ``fuzzy''
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164 model of its own body in place of the cat. Possibly also create
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165 a simulation of the stream of water.
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166
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167 2. Play out this simulated scene and generate imagined sensory
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168 experience. This will include relevant muscle contractions, a
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169 close up view of the stream from the cat's perspective, and most
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170 importantly, the imagined feeling of water entering the
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171 mouth. The imagined sensory experience can come from a
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172 simulation of the event, but can also be pattern-matched from
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173 previous, similar embodied experience.
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174
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175 3. The action is now easily identified as drinking by the sense of
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176 taste alone. The other senses (such as the tongue moving in and
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177 out) help to give plausibility to the simulated action. Note that
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178 the sense of vision, while critical in creating the simulation,
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179 is not critical for identifying the action from the simulation.
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180
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181 For the chair examples, the process is even easier:
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182
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183 1. Align a model of your body to the person in the image.
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184
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185 2. Generate proprioceptive sensory data from this alignment.
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186
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187 3. Use the imagined proprioceptive data as a key to lookup related
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188 sensory experience associated with that particular proproceptive
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189 feeling.
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190
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191 4. Retrieve the feeling of your bottom resting on a surface, your
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192 knees bent, and your leg muscles relaxed.
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193
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194 5. This sensory information is consistent with the =sitting?=
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195 sensory predicate, so you (and the entity in the image) must be
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196 sitting.
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197
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198 6. There must be a chair-like object since you are sitting.
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199
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200 Empathy offers yet another alternative to the age-old AI
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201 representation question: ``What is a chair?'' --- A chair is the
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202 feeling of sitting.
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203
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204 My program, =EMPATH= uses this empathic problem solving technique
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205 to interpret the actions of a simple, worm-like creature.
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206
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207 #+caption: The worm performs many actions during free play such as
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208 #+caption: curling, wiggling, and resting.
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209 #+name: worm-intro
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210 #+ATTR_LaTeX: :width 15cm
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211 [[./images/worm-intro-white.png]]
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212
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213 #+caption: =EMPATH= recognized and classified each of these
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214 #+caption: poses by inferring the complete sensory experience
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215 #+caption: from proprioceptive data.
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216 #+name: worm-recognition-intro
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217 #+ATTR_LaTeX: :width 15cm
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218 [[./images/worm-poses.png]]
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219
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220 One powerful advantage of empathic problem solving is that it
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221 factors the action recognition problem into two easier problems. To
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222 use empathy, you need an /aligner/, which takes the video and a
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223 model of your body, and aligns the model with the video. Then, you
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224 need a /recognizer/, which uses the aligned model to interpret the
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225 action. The power in this method lies in the fact that you describe
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226 all actions form a body-centered viewpoint. You are less tied to
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227 the particulars of any visual representation of the actions. If you
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228 teach the system what ``running'' is, and you have a good enough
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229 aligner, the system will from then on be able to recognize running
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230 from any point of view, even strange points of view like above or
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231 underneath the runner. This is in contrast to action recognition
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232 schemes that try to identify actions using a non-embodied approach.
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233 If these systems learn about running as viewed from the side, they
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234 will not automatically be able to recognize running from any other
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235 viewpoint.
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236
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237 Another powerful advantage is that using the language of multiple
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238 body-centered rich senses to describe body-centerd actions offers a
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239 massive boost in descriptive capability. Consider how difficult it
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240 would be to compose a set of HOG filters to describe the action of
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241 a simple worm-creature ``curling'' so that its head touches its
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242 tail, and then behold the simplicity of describing thus action in a
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243 language designed for the task (listing \ref{grand-circle-intro}):
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244
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245 #+caption: Body-centerd actions are best expressed in a body-centered
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246 #+caption: language. This code detects when the worm has curled into a
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247 #+caption: full circle. Imagine how you would replicate this functionality
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248 #+caption: using low-level pixel features such as HOG filters!
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249 #+name: grand-circle-intro
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250 #+attr_latex: [htpb]
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251 #+begin_listing clojure
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252 #+begin_src clojure
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253 (defn grand-circle?
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254 "Does the worm form a majestic circle (one end touching the other)?"
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255 [experiences]
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256 (and (curled? experiences)
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257 (let [worm-touch (:touch (peek experiences))
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258 tail-touch (worm-touch 0)
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259 head-touch (worm-touch 4)]
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260 (and (< 0.2 (contact worm-segment-bottom-tip tail-touch))
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261 (< 0.2 (contact worm-segment-top-tip head-touch))))))
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262 #+end_src
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263 #+end_listing
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264
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265 ** =CORTEX= is a toolkit for building sensate creatures
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266
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267 I built =CORTEX= to be a general AI research platform for doing
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268 experiments involving multiple rich senses and a wide variety and
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269 number of creatures. I intend it to be useful as a library for many
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270 more projects than just this thesis. =CORTEX= was necessary to meet
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271 a need among AI researchers at CSAIL and beyond, which is that
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272 people often will invent neat ideas that are best expressed in the
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273 language of creatures and senses, but in order to explore those
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274 ideas they must first build a platform in which they can create
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275 simulated creatures with rich senses! There are many ideas that
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276 would be simple to execute (such as =EMPATH=), but attached to them
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277 is the multi-month effort to make a good creature simulator. Often,
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278 that initial investment of time proves to be too much, and the
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279 project must make do with a lesser environment.
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280
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281 =CORTEX= is well suited as an environment for embodied AI research
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282 for three reasons:
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283
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284 - You can create new creatures using Blender, a popular 3D modeling
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285 program. Each sense can be specified using special blender nodes
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286 with biologically inspired paramaters. You need not write any
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287 code to create a creature, and can use a wide library of
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288 pre-existing blender models as a base for your own creatures.
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289
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290 - =CORTEX= implements a wide variety of senses, including touch,
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291 proprioception, vision, hearing, and muscle tension. Complicated
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292 senses like touch, and vision involve multiple sensory elements
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293 embedded in a 2D surface. You have complete control over the
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294 distribution of these sensor elements through the use of simple
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295 png image files. In particular, =CORTEX= implements more
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296 comprehensive hearing than any other creature simulation system
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297 available.
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298
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299 - =CORTEX= supports any number of creatures and any number of
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300 senses. Time in =CORTEX= dialates so that the simulated creatures
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301 always precieve a perfectly smooth flow of time, regardless of
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302 the actual computational load.
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303
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304 =CORTEX= is built on top of =jMonkeyEngine3=, which is a video game
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305 engine designed to create cross-platform 3D desktop games. =CORTEX=
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306 is mainly written in clojure, a dialect of =LISP= that runs on the
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307 java virtual machine (JVM). The API for creating and simulating
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308 creatures and senses is entirely expressed in clojure, though many
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309 senses are implemented at the layer of jMonkeyEngine or below. For
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310 example, for the sense of hearing I use a layer of clojure code on
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311 top of a layer of java JNI bindings that drive a layer of =C++=
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312 code which implements a modified version of =OpenAL= to support
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313 multiple listeners. =CORTEX= is the only simulation environment
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314 that I know of that can support multiple entities that can each
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315 hear the world from their own perspective. Other senses also
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316 require a small layer of Java code. =CORTEX= also uses =bullet=, a
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317 physics simulator written in =C=.
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318
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319 #+caption: Here is the worm from above modeled in Blender, a free
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320 #+caption: 3D-modeling program. Senses and joints are described
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321 #+caption: using special nodes in Blender.
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322 #+name: worm-recognition-intro
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323 #+ATTR_LaTeX: :width 12cm
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324 [[./images/blender-worm.png]]
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325
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326 Here are some thing I anticipate that =CORTEX= might be used for:
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327
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328 - exploring new ideas about sensory integration
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329 - distributed communication among swarm creatures
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330 - self-learning using free exploration,
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331 - evolutionary algorithms involving creature construction
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332 - exploration of exoitic senses and effectors that are not possible
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333 in the real world (such as telekenisis or a semantic sense)
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rlm@449
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334 - imagination using subworlds
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335
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336 During one test with =CORTEX=, I created 3,000 creatures each with
|
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337 their own independent senses and ran them all at only 1/80 real
|
rlm@448
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338 time. In another test, I created a detailed model of my own hand,
|
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339 equipped with a realistic distribution of touch (more sensitive at
|
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340 the fingertips), as well as eyes and ears, and it ran at around 1/4
|
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341 real time.
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342
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343 #+BEGIN_LaTeX
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344 \begin{sidewaysfigure}
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345 \includegraphics[width=9.5in]{images/full-hand.png}
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346 \caption{
|
rlm@451
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347 I modeled my own right hand in Blender and rigged it with all the
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348 senses that {\tt CORTEX} supports. My simulated hand has a
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349 biologically inspired distribution of touch sensors. The senses are
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350 displayed on the right, and the simulation is displayed on the
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351 left. Notice that my hand is curling its fingers, that it can see
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352 its own finger from the eye in its palm, and that it can feel its
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353 own thumb touching its palm.}
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354 \end{sidewaysfigure}
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rlm@451
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355 #+END_LaTeX
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rlm@448
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356
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rlm@437
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357 ** Contributions
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rlm@435
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358
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rlm@451
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359 - I built =CORTEX=, a comprehensive platform for embodied AI
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360 experiments. =CORTEX= supports many features lacking in other
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rlm@451
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361 systems, such proper simulation of hearing. It is easy to create
|
rlm@451
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362 new =CORTEX= creatures using Blender, a free 3D modeling program.
|
rlm@449
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363
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rlm@451
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364 - I built =EMPATH=, which uses =CORTEX= to identify the actions of
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rlm@451
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365 a worm-like creature using a computational model of empathy.
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rlm@449
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366
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rlm@436
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367 * Building =CORTEX=
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rlm@435
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368
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rlm@462
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369 I intend for =CORTEX= to be used as a general purpose library for
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370 building creatures and outfitting them with senses, so that it will
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371 be useful for other researchers who want to test out ideas of their
|
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372 own. To this end, wherver I have had to make archetictural choices
|
rlm@462
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373 about =CORTEX=, I have chosen to give as much freedom to the user as
|
rlm@462
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374 possible, so that =CORTEX= may be used for things I have not
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375 forseen.
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rlm@462
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376
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rlm@465
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377 ** COMMENT Simulation or Reality?
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378
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rlm@462
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379 The most important archetictural decision of all is the choice to
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380 use a computer-simulated environemnt in the first place! The world
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rlm@462
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381 is a vast and rich place, and for now simulations are a very poor
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rlm@462
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382 reflection of its complexity. It may be that there is a significant
|
rlm@462
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383 qualatative difference between dealing with senses in the real
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rlm@468
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384 world and dealing with pale facilimilies of them in a simulation.
|
rlm@468
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385 What are the advantages and disadvantages of a simulation vs.
|
rlm@468
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386 reality?
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rlm@462
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387
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rlm@462
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388 *** Simulation
|
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389
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rlm@462
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390 The advantages of virtual reality are that when everything is a
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rlm@462
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391 simulation, experiments in that simulation are absolutely
|
rlm@462
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392 reproducible. It's also easier to change the character and world
|
rlm@462
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393 to explore new situations and different sensory combinations.
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rlm@462
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394
|
rlm@462
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395 If the world is to be simulated on a computer, then not only do
|
rlm@462
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396 you have to worry about whether the character's senses are rich
|
rlm@462
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397 enough to learn from the world, but whether the world itself is
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rlm@462
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398 rendered with enough detail and realism to give enough working
|
rlm@462
|
399 material to the character's senses. To name just a few
|
rlm@462
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400 difficulties facing modern physics simulators: destructibility of
|
rlm@462
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401 the environment, simulation of water/other fluids, large areas,
|
rlm@462
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402 nonrigid bodies, lots of objects, smoke. I don't know of any
|
rlm@462
|
403 computer simulation that would allow a character to take a rock
|
rlm@462
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404 and grind it into fine dust, then use that dust to make a clay
|
rlm@462
|
405 sculpture, at least not without spending years calculating the
|
rlm@462
|
406 interactions of every single small grain of dust. Maybe a
|
rlm@462
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407 simulated world with today's limitations doesn't provide enough
|
rlm@462
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408 richness for real intelligence to evolve.
|
rlm@462
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409
|
rlm@462
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410 *** Reality
|
rlm@462
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411
|
rlm@462
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412 The other approach for playing with senses is to hook your
|
rlm@462
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413 software up to real cameras, microphones, robots, etc., and let it
|
rlm@462
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414 loose in the real world. This has the advantage of eliminating
|
rlm@462
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415 concerns about simulating the world at the expense of increasing
|
rlm@462
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416 the complexity of implementing the senses. Instead of just
|
rlm@462
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417 grabbing the current rendered frame for processing, you have to
|
rlm@462
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418 use an actual camera with real lenses and interact with photons to
|
rlm@462
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419 get an image. It is much harder to change the character, which is
|
rlm@462
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420 now partly a physical robot of some sort, since doing so involves
|
rlm@462
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421 changing things around in the real world instead of modifying
|
rlm@462
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422 lines of code. While the real world is very rich and definitely
|
rlm@462
|
423 provides enough stimulation for intelligence to develop as
|
rlm@462
|
424 evidenced by our own existence, it is also uncontrollable in the
|
rlm@462
|
425 sense that a particular situation cannot be recreated perfectly or
|
rlm@462
|
426 saved for later use. It is harder to conduct science because it is
|
rlm@462
|
427 harder to repeat an experiment. The worst thing about using the
|
rlm@462
|
428 real world instead of a simulation is the matter of time. Instead
|
rlm@462
|
429 of simulated time you get the constant and unstoppable flow of
|
rlm@462
|
430 real time. This severely limits the sorts of software you can use
|
rlm@462
|
431 to program the AI because all sense inputs must be handled in real
|
rlm@462
|
432 time. Complicated ideas may have to be implemented in hardware or
|
rlm@462
|
433 may simply be impossible given the current speed of our
|
rlm@462
|
434 processors. Contrast this with a simulation, in which the flow of
|
rlm@462
|
435 time in the simulated world can be slowed down to accommodate the
|
rlm@462
|
436 limitations of the character's programming. In terms of cost,
|
rlm@462
|
437 doing everything in software is far cheaper than building custom
|
rlm@462
|
438 real-time hardware. All you need is a laptop and some patience.
|
rlm@435
|
439
|
rlm@465
|
440 ** COMMENT Because of Time, simulation is perferable to reality
|
rlm@435
|
441
|
rlm@462
|
442 I envision =CORTEX= being used to support rapid prototyping and
|
rlm@462
|
443 iteration of ideas. Even if I could put together a well constructed
|
rlm@462
|
444 kit for creating robots, it would still not be enough because of
|
rlm@462
|
445 the scourge of real-time processing. Anyone who wants to test their
|
rlm@462
|
446 ideas in the real world must always worry about getting their
|
rlm@465
|
447 algorithms to run fast enough to process information in real time.
|
rlm@465
|
448 The need for real time processing only increases if multiple senses
|
rlm@465
|
449 are involved. In the extreme case, even simple algorithms will have
|
rlm@465
|
450 to be accelerated by ASIC chips or FPGAs, turning what would
|
rlm@465
|
451 otherwise be a few lines of code and a 10x speed penality into a
|
rlm@465
|
452 multi-month ordeal. For this reason, =CORTEX= supports
|
rlm@462
|
453 /time-dialiation/, which scales back the framerate of the
|
rlm@465
|
454 simulation in proportion to the amount of processing each frame.
|
rlm@465
|
455 From the perspective of the creatures inside the simulation, time
|
rlm@465
|
456 always appears to flow at a constant rate, regardless of how
|
rlm@462
|
457 complicated the envorimnent becomes or how many creatures are in
|
rlm@462
|
458 the simulation. The cost is that =CORTEX= can sometimes run slower
|
rlm@462
|
459 than real time. This can also be an advantage, however ---
|
rlm@462
|
460 simulations of very simple creatures in =CORTEX= generally run at
|
rlm@462
|
461 40x on my machine!
|
rlm@462
|
462
|
rlm@469
|
463 ** COMMENT What is a sense?
|
rlm@468
|
464
|
rlm@468
|
465 If =CORTEX= is to support a wide variety of senses, it would help
|
rlm@468
|
466 to have a better understanding of what a ``sense'' actually is!
|
rlm@468
|
467 While vision, touch, and hearing all seem like they are quite
|
rlm@468
|
468 different things, I was supprised to learn during the course of
|
rlm@468
|
469 this thesis that they (and all physical senses) can be expressed as
|
rlm@468
|
470 exactly the same mathematical object due to a dimensional argument!
|
rlm@468
|
471
|
rlm@468
|
472 Human beings are three-dimensional objects, and the nerves that
|
rlm@468
|
473 transmit data from our various sense organs to our brain are
|
rlm@468
|
474 essentially one-dimensional. This leaves up to two dimensions in
|
rlm@468
|
475 which our sensory information may flow. For example, imagine your
|
rlm@468
|
476 skin: it is a two-dimensional surface around a three-dimensional
|
rlm@468
|
477 object (your body). It has discrete touch sensors embedded at
|
rlm@468
|
478 various points, and the density of these sensors corresponds to the
|
rlm@468
|
479 sensitivity of that region of skin. Each touch sensor connects to a
|
rlm@468
|
480 nerve, all of which eventually are bundled together as they travel
|
rlm@468
|
481 up the spinal cord to the brain. Intersect the spinal nerves with a
|
rlm@468
|
482 guillotining plane and you will see all of the sensory data of the
|
rlm@468
|
483 skin revealed in a roughly circular two-dimensional image which is
|
rlm@468
|
484 the cross section of the spinal cord. Points on this image that are
|
rlm@468
|
485 close together in this circle represent touch sensors that are
|
rlm@468
|
486 /probably/ close together on the skin, although there is of course
|
rlm@468
|
487 some cutting and rearrangement that has to be done to transfer the
|
rlm@468
|
488 complicated surface of the skin onto a two dimensional image.
|
rlm@468
|
489
|
rlm@468
|
490 Most human senses consist of many discrete sensors of various
|
rlm@468
|
491 properties distributed along a surface at various densities. For
|
rlm@468
|
492 skin, it is Pacinian corpuscles, Meissner's corpuscles, Merkel's
|
rlm@468
|
493 disks, and Ruffini's endings, which detect pressure and vibration
|
rlm@468
|
494 of various intensities. For ears, it is the stereocilia distributed
|
rlm@468
|
495 along the basilar membrane inside the cochlea; each one is
|
rlm@468
|
496 sensitive to a slightly different frequency of sound. For eyes, it
|
rlm@468
|
497 is rods and cones distributed along the surface of the retina. In
|
rlm@468
|
498 each case, we can describe the sense with a surface and a
|
rlm@468
|
499 distribution of sensors along that surface.
|
rlm@468
|
500
|
rlm@468
|
501 The neat idea is that every human sense can be effectively
|
rlm@468
|
502 described in terms of a surface containing embedded sensors. If the
|
rlm@468
|
503 sense had any more dimensions, then there wouldn't be enough room
|
rlm@468
|
504 in the spinal chord to transmit the information!
|
rlm@468
|
505
|
rlm@468
|
506 Therefore, =CORTEX= must support the ability to create objects and
|
rlm@468
|
507 then be able to ``paint'' points along their surfaces to describe
|
rlm@468
|
508 each sense.
|
rlm@468
|
509
|
rlm@468
|
510 Fortunately this idea is already a well known computer graphics
|
rlm@468
|
511 technique called called /UV-mapping/. The three-dimensional surface
|
rlm@468
|
512 of a model is cut and smooshed until it fits on a two-dimensional
|
rlm@468
|
513 image. You paint whatever you want on that image, and when the
|
rlm@468
|
514 three-dimensional shape is rendered in a game the smooshing and
|
rlm@468
|
515 cutting is reversed and the image appears on the three-dimensional
|
rlm@468
|
516 object.
|
rlm@468
|
517
|
rlm@468
|
518 To make a sense, interpret the UV-image as describing the
|
rlm@468
|
519 distribution of that senses sensors. To get different types of
|
rlm@468
|
520 sensors, you can either use a different color for each type of
|
rlm@468
|
521 sensor, or use multiple UV-maps, each labeled with that sensor
|
rlm@468
|
522 type. I generally use a white pixel to mean the presence of a
|
rlm@468
|
523 sensor and a black pixel to mean the absence of a sensor, and use
|
rlm@468
|
524 one UV-map for each sensor-type within a given sense.
|
rlm@468
|
525
|
rlm@468
|
526 #+CAPTION: The UV-map for an elongated icososphere. The white
|
rlm@468
|
527 #+caption: dots each represent a touch sensor. They are dense
|
rlm@468
|
528 #+caption: in the regions that describe the tip of the finger,
|
rlm@468
|
529 #+caption: and less dense along the dorsal side of the finger
|
rlm@468
|
530 #+caption: opposite the tip.
|
rlm@468
|
531 #+name: finger-UV
|
rlm@468
|
532 #+ATTR_latex: :width 10cm
|
rlm@468
|
533 [[./images/finger-UV.png]]
|
rlm@468
|
534
|
rlm@468
|
535 #+caption: Ventral side of the UV-mapped finger. Notice the
|
rlm@468
|
536 #+caption: density of touch sensors at the tip.
|
rlm@468
|
537 #+name: finger-side-view
|
rlm@468
|
538 #+ATTR_LaTeX: :width 10cm
|
rlm@468
|
539 [[./images/finger-1.png]]
|
rlm@468
|
540
|
rlm@465
|
541 ** COMMENT Video game engines are a great starting point
|
rlm@462
|
542
|
rlm@462
|
543 I did not need to write my own physics simulation code or shader to
|
rlm@462
|
544 build =CORTEX=. Doing so would lead to a system that is impossible
|
rlm@462
|
545 for anyone but myself to use anyway. Instead, I use a video game
|
rlm@462
|
546 engine as a base and modify it to accomodate the additional needs
|
rlm@462
|
547 of =CORTEX=. Video game engines are an ideal starting point to
|
rlm@462
|
548 build =CORTEX=, because they are not far from being creature
|
rlm@463
|
549 building systems themselves.
|
rlm@462
|
550
|
rlm@462
|
551 First off, general purpose video game engines come with a physics
|
rlm@462
|
552 engine and lighting / sound system. The physics system provides
|
rlm@462
|
553 tools that can be co-opted to serve as touch, proprioception, and
|
rlm@462
|
554 muscles. Since some games support split screen views, a good video
|
rlm@462
|
555 game engine will allow you to efficiently create multiple cameras
|
rlm@463
|
556 in the simulated world that can be used as eyes. Video game systems
|
rlm@463
|
557 offer integrated asset management for things like textures and
|
rlm@468
|
558 creatures models, providing an avenue for defining creatures. They
|
rlm@468
|
559 also understand UV-mapping, since this technique is used to apply a
|
rlm@468
|
560 texture to a model. Finally, because video game engines support a
|
rlm@468
|
561 large number of users, as long as =CORTEX= doesn't stray too far
|
rlm@468
|
562 from the base system, other researchers can turn to this community
|
rlm@468
|
563 for help when doing their research.
|
rlm@463
|
564
|
rlm@465
|
565 ** COMMENT =CORTEX= is based on jMonkeyEngine3
|
rlm@463
|
566
|
rlm@463
|
567 While preparing to build =CORTEX= I studied several video game
|
rlm@463
|
568 engines to see which would best serve as a base. The top contenders
|
rlm@463
|
569 were:
|
rlm@463
|
570
|
rlm@463
|
571 - [[http://www.idsoftware.com][Quake II]]/[[http://www.bytonic.de/html/jake2.html][Jake2]] :: The Quake II engine was designed by ID
|
rlm@463
|
572 software in 1997. All the source code was released by ID
|
rlm@463
|
573 software into the Public Domain several years ago, and as a
|
rlm@463
|
574 result it has been ported to many different languages. This
|
rlm@463
|
575 engine was famous for its advanced use of realistic shading
|
rlm@463
|
576 and had decent and fast physics simulation. The main advantage
|
rlm@463
|
577 of the Quake II engine is its simplicity, but I ultimately
|
rlm@463
|
578 rejected it because the engine is too tied to the concept of a
|
rlm@463
|
579 first-person shooter game. One of the problems I had was that
|
rlm@463
|
580 there does not seem to be any easy way to attach multiple
|
rlm@463
|
581 cameras to a single character. There are also several physics
|
rlm@463
|
582 clipping issues that are corrected in a way that only applies
|
rlm@463
|
583 to the main character and do not apply to arbitrary objects.
|
rlm@463
|
584
|
rlm@463
|
585 - [[http://source.valvesoftware.com/][Source Engine]] :: The Source Engine evolved from the Quake II
|
rlm@463
|
586 and Quake I engines and is used by Valve in the Half-Life
|
rlm@463
|
587 series of games. The physics simulation in the Source Engine
|
rlm@463
|
588 is quite accurate and probably the best out of all the engines
|
rlm@463
|
589 I investigated. There is also an extensive community actively
|
rlm@463
|
590 working with the engine. However, applications that use the
|
rlm@463
|
591 Source Engine must be written in C++, the code is not open, it
|
rlm@463
|
592 only runs on Windows, and the tools that come with the SDK to
|
rlm@463
|
593 handle models and textures are complicated and awkward to use.
|
rlm@463
|
594
|
rlm@463
|
595 - [[http://jmonkeyengine.com/][jMonkeyEngine3]] :: jMonkeyEngine3 is a new library for creating
|
rlm@463
|
596 games in Java. It uses OpenGL to render to the screen and uses
|
rlm@463
|
597 screengraphs to avoid drawing things that do not appear on the
|
rlm@463
|
598 screen. It has an active community and several games in the
|
rlm@463
|
599 pipeline. The engine was not built to serve any particular
|
rlm@463
|
600 game but is instead meant to be used for any 3D game.
|
rlm@463
|
601
|
rlm@463
|
602 I chose jMonkeyEngine3 because it because it had the most features
|
rlm@464
|
603 out of all the free projects I looked at, and because I could then
|
rlm@463
|
604 write my code in clojure, an implementation of =LISP= that runs on
|
rlm@463
|
605 the JVM.
|
rlm@435
|
606
|
rlm@469
|
607 ** COMMENT =CORTEX= uses Blender to create creature models
|
rlm@435
|
608
|
rlm@464
|
609 For the simple worm-like creatures I will use later on in this
|
rlm@464
|
610 thesis, I could define a simple API in =CORTEX= that would allow
|
rlm@464
|
611 one to create boxes, spheres, etc., and leave that API as the sole
|
rlm@464
|
612 way to create creatures. However, for =CORTEX= to truly be useful
|
rlm@468
|
613 for other projects, it needs a way to construct complicated
|
rlm@464
|
614 creatures. If possible, it would be nice to leverage work that has
|
rlm@464
|
615 already been done by the community of 3D modelers, or at least
|
rlm@464
|
616 enable people who are talented at moedling but not programming to
|
rlm@468
|
617 design =CORTEX= creatures.
|
rlm@464
|
618
|
rlm@464
|
619 Therefore, I use Blender, a free 3D modeling program, as the main
|
rlm@464
|
620 way to create creatures in =CORTEX=. However, the creatures modeled
|
rlm@464
|
621 in Blender must also be simple to simulate in jMonkeyEngine3's game
|
rlm@468
|
622 engine, and must also be easy to rig with =CORTEX='s senses. I
|
rlm@468
|
623 accomplish this with extensive use of Blender's ``empty nodes.''
|
rlm@464
|
624
|
rlm@468
|
625 Empty nodes have no mass, physical presence, or appearance, but
|
rlm@468
|
626 they can hold metadata and have names. I use a tree structure of
|
rlm@468
|
627 empty nodes to specify senses in the following manner:
|
rlm@468
|
628
|
rlm@468
|
629 - Create a single top-level empty node whose name is the name of
|
rlm@468
|
630 the sense.
|
rlm@468
|
631 - Add empty nodes which each contain meta-data relevant to the
|
rlm@468
|
632 sense, including a UV-map describing the number/distribution of
|
rlm@468
|
633 sensors if applicable.
|
rlm@468
|
634 - Make each empty-node the child of the top-level node.
|
rlm@468
|
635
|
rlm@468
|
636 #+caption: An example of annoting a creature model with empty
|
rlm@468
|
637 #+caption: nodes to describe the layout of senses. There are
|
rlm@468
|
638 #+caption: multiple empty nodes which each describe the position
|
rlm@468
|
639 #+caption: of muscles, ears, eyes, or joints.
|
rlm@468
|
640 #+name: sense-nodes
|
rlm@468
|
641 #+ATTR_LaTeX: :width 10cm
|
rlm@468
|
642 [[./images/empty-sense-nodes.png]]
|
rlm@468
|
643
|
rlm@469
|
644 ** COMMENT Bodies are composed of segments connected by joints
|
rlm@468
|
645
|
rlm@468
|
646 Blender is a general purpose animation tool, which has been used in
|
rlm@468
|
647 the past to create high quality movies such as Sintel
|
rlm@468
|
648 \cite{sintel}. Though Blender can model and render even complicated
|
rlm@468
|
649 things like water, it is crucual to keep models that are meant to
|
rlm@468
|
650 be simulated as creatures simple. =Bullet=, which =CORTEX= uses
|
rlm@468
|
651 though jMonkeyEngine3, is a rigid-body physics system. This offers
|
rlm@468
|
652 a compromise between the expressiveness of a game level and the
|
rlm@468
|
653 speed at which it can be simulated, and it means that creatures
|
rlm@468
|
654 should be naturally expressed as rigid components held together by
|
rlm@468
|
655 joint constraints.
|
rlm@468
|
656
|
rlm@468
|
657 But humans are more like a squishy bag with wrapped around some
|
rlm@468
|
658 hard bones which define the overall shape. When we move, our skin
|
rlm@468
|
659 bends and stretches to accomodate the new positions of our bones.
|
rlm@468
|
660
|
rlm@468
|
661 One way to make bodies composed of rigid pieces connected by joints
|
rlm@468
|
662 /seem/ more human-like is to use an /armature/, (or /rigging/)
|
rlm@468
|
663 system, which defines a overall ``body mesh'' and defines how the
|
rlm@468
|
664 mesh deforms as a function of the position of each ``bone'' which
|
rlm@468
|
665 is a standard rigid body. This technique is used extensively to
|
rlm@468
|
666 model humans and create realistic animations. It is not a good
|
rlm@468
|
667 technique for physical simulation, however because it creates a lie
|
rlm@468
|
668 -- the skin is not a physical part of the simulation and does not
|
rlm@468
|
669 interact with any objects in the world or itself. Objects will pass
|
rlm@468
|
670 right though the skin until they come in contact with the
|
rlm@468
|
671 underlying bone, which is a physical object. Whithout simulating
|
rlm@468
|
672 the skin, the sense of touch has little meaning, and the creature's
|
rlm@468
|
673 own vision will lie to it about the true extent of its body.
|
rlm@468
|
674 Simulating the skin as a physical object requires some way to
|
rlm@468
|
675 continuously update the physical model of the skin along with the
|
rlm@468
|
676 movement of the bones, which is unacceptably slow compared to rigid
|
rlm@468
|
677 body simulation.
|
rlm@468
|
678
|
rlm@468
|
679 Therefore, instead of using the human-like ``deformable bag of
|
rlm@468
|
680 bones'' approach, I decided to base my body plans on multiple solid
|
rlm@468
|
681 objects that are connected by joints, inspired by the robot =EVE=
|
rlm@468
|
682 from the movie WALL-E.
|
rlm@464
|
683
|
rlm@464
|
684 #+caption: =EVE= from the movie WALL-E. This body plan turns
|
rlm@464
|
685 #+caption: out to be much better suited to my purposes than a more
|
rlm@464
|
686 #+caption: human-like one.
|
rlm@465
|
687 #+ATTR_LaTeX: :width 10cm
|
rlm@464
|
688 [[./images/Eve.jpg]]
|
rlm@464
|
689
|
rlm@464
|
690 =EVE='s body is composed of several rigid components that are held
|
rlm@464
|
691 together by invisible joint constraints. This is what I mean by
|
rlm@464
|
692 ``eve-like''. The main reason that I use eve-style bodies is for
|
rlm@464
|
693 efficiency, and so that there will be correspondence between the
|
rlm@468
|
694 AI's semses and the physical presence of its body. Each individual
|
rlm@464
|
695 section is simulated by a separate rigid body that corresponds
|
rlm@464
|
696 exactly with its visual representation and does not change.
|
rlm@464
|
697 Sections are connected by invisible joints that are well supported
|
rlm@464
|
698 in jMonkeyEngine3. Bullet, the physics backend for jMonkeyEngine3,
|
rlm@464
|
699 can efficiently simulate hundreds of rigid bodies connected by
|
rlm@468
|
700 joints. Just because sections are rigid does not mean they have to
|
rlm@468
|
701 stay as one piece forever; they can be dynamically replaced with
|
rlm@468
|
702 multiple sections to simulate splitting in two. This could be used
|
rlm@468
|
703 to simulate retractable claws or =EVE='s hands, which are able to
|
rlm@468
|
704 coalesce into one object in the movie.
|
rlm@465
|
705
|
rlm@469
|
706 *** Solidifying/Connecting a body
|
rlm@465
|
707
|
rlm@469
|
708 =CORTEX= creates a creature in two steps: first, it traverses the
|
rlm@469
|
709 nodes in the blender file and creates physical representations for
|
rlm@469
|
710 any of them that have mass defined in their blender meta-data.
|
rlm@466
|
711
|
rlm@466
|
712 #+caption: Program for iterating through the nodes in a blender file
|
rlm@466
|
713 #+caption: and generating physical jMonkeyEngine3 objects with mass
|
rlm@466
|
714 #+caption: and a matching physics shape.
|
rlm@466
|
715 #+name: name
|
rlm@466
|
716 #+begin_listing clojure
|
rlm@466
|
717 #+begin_src clojure
|
rlm@466
|
718 (defn physical!
|
rlm@466
|
719 "Iterate through the nodes in creature and make them real physical
|
rlm@466
|
720 objects in the simulation."
|
rlm@466
|
721 [#^Node creature]
|
rlm@466
|
722 (dorun
|
rlm@466
|
723 (map
|
rlm@466
|
724 (fn [geom]
|
rlm@466
|
725 (let [physics-control
|
rlm@466
|
726 (RigidBodyControl.
|
rlm@466
|
727 (HullCollisionShape.
|
rlm@466
|
728 (.getMesh geom))
|
rlm@466
|
729 (if-let [mass (meta-data geom "mass")]
|
rlm@466
|
730 (float mass) (float 1)))]
|
rlm@466
|
731 (.addControl geom physics-control)))
|
rlm@466
|
732 (filter #(isa? (class %) Geometry )
|
rlm@466
|
733 (node-seq creature)))))
|
rlm@466
|
734 #+end_src
|
rlm@466
|
735 #+end_listing
|
rlm@465
|
736
|
rlm@469
|
737 The next step to making a proper body is to connect those pieces
|
rlm@469
|
738 together with joints. jMonkeyEngine has a large array of joints
|
rlm@469
|
739 available via =bullet=, such as Point2Point, Cone, Hinge, and a
|
rlm@469
|
740 generic Six Degree of Freedom joint, with or without spring
|
rlm@469
|
741 restitution.
|
rlm@465
|
742
|
rlm@469
|
743 Joints are treated a lot like proper senses, in that there is a
|
rlm@469
|
744 top-level empty node named ``joints'' whose children each
|
rlm@469
|
745 represent a joint.
|
rlm@466
|
746
|
rlm@469
|
747 #+caption: View of the hand model in Blender showing the main ``joints''
|
rlm@469
|
748 #+caption: node (highlighted in yellow) and its children which each
|
rlm@469
|
749 #+caption: represent a joint in the hand. Each joint node has metadata
|
rlm@469
|
750 #+caption: specifying what sort of joint it is.
|
rlm@469
|
751 #+name: blender-hand
|
rlm@469
|
752 #+ATTR_LaTeX: :width 10cm
|
rlm@469
|
753 [[./images/hand-screenshot1.png]]
|
rlm@469
|
754
|
rlm@469
|
755
|
rlm@469
|
756 =CORTEX='s procedure for binding the creature together with joints
|
rlm@469
|
757 is as follows:
|
rlm@469
|
758
|
rlm@469
|
759 - Find the children of the ``joints'' node.
|
rlm@469
|
760 - Determine the two spatials the joint is meant to connect.
|
rlm@469
|
761 - Create the joint based on the meta-data of the empty node.
|
rlm@469
|
762
|
rlm@469
|
763 The higher order function =sense-nodes= from =cortex.sense=
|
rlm@469
|
764 simplifies finding the joints based on their parent ``joints''
|
rlm@469
|
765 node.
|
rlm@466
|
766
|
rlm@466
|
767 #+caption: Retrieving the children empty nodes from a single
|
rlm@466
|
768 #+caption: named empty node is a common pattern in =CORTEX=
|
rlm@466
|
769 #+caption: further instances of this technique for the senses
|
rlm@466
|
770 #+caption: will be omitted
|
rlm@466
|
771 #+name: get-empty-nodes
|
rlm@466
|
772 #+begin_listing clojure
|
rlm@466
|
773 #+begin_src clojure
|
rlm@466
|
774 (defn sense-nodes
|
rlm@466
|
775 "For some senses there is a special empty blender node whose
|
rlm@466
|
776 children are considered markers for an instance of that sense. This
|
rlm@466
|
777 function generates functions to find those children, given the name
|
rlm@466
|
778 of the special parent node."
|
rlm@466
|
779 [parent-name]
|
rlm@466
|
780 (fn [#^Node creature]
|
rlm@466
|
781 (if-let [sense-node (.getChild creature parent-name)]
|
rlm@466
|
782 (seq (.getChildren sense-node)) [])))
|
rlm@466
|
783
|
rlm@466
|
784 (def
|
rlm@466
|
785 ^{:doc "Return the children of the creature's \"joints\" node."
|
rlm@466
|
786 :arglists '([creature])}
|
rlm@466
|
787 joints
|
rlm@466
|
788 (sense-nodes "joints"))
|
rlm@466
|
789 #+end_src
|
rlm@466
|
790 #+end_listing
|
rlm@466
|
791
|
rlm@469
|
792 To find a joint's targets, =CORTEX= creates a small cube, centered
|
rlm@469
|
793 around the empty-node, and grows the cube exponentially until it
|
rlm@469
|
794 intersects two physical objects. The objects are ordered according
|
rlm@469
|
795 to the joint's rotation, with the first one being the object that
|
rlm@469
|
796 has more negative coordinates in the joint's reference frame.
|
rlm@469
|
797 Since the objects must be physical, the empty-node itself escapes
|
rlm@469
|
798 detection. Because the objects must be physical, =joint-targets=
|
rlm@469
|
799 must be called /after/ =physical!= is called.
|
rlm@464
|
800
|
rlm@469
|
801 #+caption: Program to find the targets of a joint node by
|
rlm@469
|
802 #+caption: exponentiallly growth of a search cube.
|
rlm@469
|
803 #+name: joint-targets
|
rlm@469
|
804 #+begin_listing clojure
|
rlm@469
|
805 #+begin_src clojure
|
rlm@466
|
806 (defn joint-targets
|
rlm@466
|
807 "Return the two closest two objects to the joint object, ordered
|
rlm@466
|
808 from bottom to top according to the joint's rotation."
|
rlm@466
|
809 [#^Node parts #^Node joint]
|
rlm@466
|
810 (loop [radius (float 0.01)]
|
rlm@466
|
811 (let [results (CollisionResults.)]
|
rlm@466
|
812 (.collideWith
|
rlm@466
|
813 parts
|
rlm@466
|
814 (BoundingBox. (.getWorldTranslation joint)
|
rlm@466
|
815 radius radius radius) results)
|
rlm@466
|
816 (let [targets
|
rlm@466
|
817 (distinct
|
rlm@466
|
818 (map #(.getGeometry %) results))]
|
rlm@466
|
819 (if (>= (count targets) 2)
|
rlm@466
|
820 (sort-by
|
rlm@466
|
821 #(let [joint-ref-frame-position
|
rlm@466
|
822 (jme-to-blender
|
rlm@466
|
823 (.mult
|
rlm@466
|
824 (.inverse (.getWorldRotation joint))
|
rlm@466
|
825 (.subtract (.getWorldTranslation %)
|
rlm@466
|
826 (.getWorldTranslation joint))))]
|
rlm@466
|
827 (.dot (Vector3f. 1 1 1) joint-ref-frame-position))
|
rlm@466
|
828 (take 2 targets))
|
rlm@466
|
829 (recur (float (* radius 2))))))))
|
rlm@469
|
830 #+end_src
|
rlm@469
|
831 #+end_listing
|
rlm@464
|
832
|
rlm@469
|
833 Once =CORTEX= finds all joints and targets, it creates them using
|
rlm@469
|
834 a dispatch on the metadata of each joint node.
|
rlm@466
|
835
|
rlm@469
|
836 #+caption: Program to dispatch on blender metadata and create joints
|
rlm@469
|
837 #+caption: sutiable for physical simulation.
|
rlm@469
|
838 #+name: joint-dispatch
|
rlm@469
|
839 #+begin_listing clojure
|
rlm@469
|
840 #+begin_src clojure
|
rlm@466
|
841 (defmulti joint-dispatch
|
rlm@466
|
842 "Translate blender pseudo-joints into real JME joints."
|
rlm@466
|
843 (fn [constraints & _]
|
rlm@466
|
844 (:type constraints)))
|
rlm@466
|
845
|
rlm@466
|
846 (defmethod joint-dispatch :point
|
rlm@466
|
847 [constraints control-a control-b pivot-a pivot-b rotation]
|
rlm@466
|
848 (doto (SixDofJoint. control-a control-b pivot-a pivot-b false)
|
rlm@466
|
849 (.setLinearLowerLimit Vector3f/ZERO)
|
rlm@466
|
850 (.setLinearUpperLimit Vector3f/ZERO)))
|
rlm@466
|
851
|
rlm@466
|
852 (defmethod joint-dispatch :hinge
|
rlm@466
|
853 [constraints control-a control-b pivot-a pivot-b rotation]
|
rlm@466
|
854 (let [axis (if-let [axis (:axis constraints)] axis Vector3f/UNIT_X)
|
rlm@466
|
855 [limit-1 limit-2] (:limit constraints)
|
rlm@466
|
856 hinge-axis (.mult rotation (blender-to-jme axis))]
|
rlm@466
|
857 (doto (HingeJoint. control-a control-b pivot-a pivot-b
|
rlm@466
|
858 hinge-axis hinge-axis)
|
rlm@466
|
859 (.setLimit limit-1 limit-2))))
|
rlm@466
|
860
|
rlm@466
|
861 (defmethod joint-dispatch :cone
|
rlm@466
|
862 [constraints control-a control-b pivot-a pivot-b rotation]
|
rlm@466
|
863 (let [limit-xz (:limit-xz constraints)
|
rlm@466
|
864 limit-xy (:limit-xy constraints)
|
rlm@466
|
865 twist (:twist constraints)]
|
rlm@466
|
866 (doto (ConeJoint. control-a control-b pivot-a pivot-b
|
rlm@466
|
867 rotation rotation)
|
rlm@466
|
868 (.setLimit (float limit-xz) (float limit-xy)
|
rlm@466
|
869 (float twist)))))
|
rlm@469
|
870 #+end_src
|
rlm@469
|
871 #+end_listing
|
rlm@466
|
872
|
rlm@469
|
873 All that is left for joints it to combine the above pieces into a
|
rlm@469
|
874 something that can operate on the collection of nodes that a
|
rlm@469
|
875 blender file represents.
|
rlm@466
|
876
|
rlm@469
|
877 #+caption: Program to completely create a joint given information
|
rlm@469
|
878 #+caption: from a blender file.
|
rlm@469
|
879 #+name: connect
|
rlm@469
|
880 #+begin_listing clojure
|
rlm@466
|
881 #+begin_src clojure
|
rlm@466
|
882 (defn connect
|
rlm@466
|
883 "Create a joint between 'obj-a and 'obj-b at the location of
|
rlm@466
|
884 'joint. The type of joint is determined by the metadata on 'joint.
|
rlm@466
|
885
|
rlm@466
|
886 Here are some examples:
|
rlm@466
|
887 {:type :point}
|
rlm@466
|
888 {:type :hinge :limit [0 (/ Math/PI 2)] :axis (Vector3f. 0 1 0)}
|
rlm@466
|
889 (:axis defaults to (Vector3f. 1 0 0) if not provided for hinge joints)
|
rlm@466
|
890
|
rlm@466
|
891 {:type :cone :limit-xz 0]
|
rlm@466
|
892 :limit-xy 0]
|
rlm@466
|
893 :twist 0]} (use XZY rotation mode in blender!)"
|
rlm@466
|
894 [#^Node obj-a #^Node obj-b #^Node joint]
|
rlm@466
|
895 (let [control-a (.getControl obj-a RigidBodyControl)
|
rlm@466
|
896 control-b (.getControl obj-b RigidBodyControl)
|
rlm@466
|
897 joint-center (.getWorldTranslation joint)
|
rlm@466
|
898 joint-rotation (.toRotationMatrix (.getWorldRotation joint))
|
rlm@466
|
899 pivot-a (world-to-local obj-a joint-center)
|
rlm@466
|
900 pivot-b (world-to-local obj-b joint-center)]
|
rlm@466
|
901 (if-let
|
rlm@466
|
902 [constraints (map-vals eval (read-string (meta-data joint "joint")))]
|
rlm@466
|
903 ;; A side-effect of creating a joint registers
|
rlm@466
|
904 ;; it with both physics objects which in turn
|
rlm@466
|
905 ;; will register the joint with the physics system
|
rlm@466
|
906 ;; when the simulation is started.
|
rlm@466
|
907 (joint-dispatch constraints
|
rlm@466
|
908 control-a control-b
|
rlm@466
|
909 pivot-a pivot-b
|
rlm@466
|
910 joint-rotation))))
|
rlm@469
|
911 #+end_src
|
rlm@469
|
912 #+end_listing
|
rlm@466
|
913
|
rlm@469
|
914 In general, whenever =CORTEX= exposes a sense (or in this case
|
rlm@469
|
915 physicality), it provides a function of the type =sense!=, which
|
rlm@469
|
916 takes in a collection of nodes and augments it to support that
|
rlm@469
|
917 sense. The function returns any controlls necessary to use that
|
rlm@469
|
918 sense. In this case =body!= cerates a physical body and returns no
|
rlm@469
|
919 control functions.
|
rlm@466
|
920
|
rlm@469
|
921 #+caption: Program to give joints to a creature.
|
rlm@469
|
922 #+name: name
|
rlm@469
|
923 #+begin_listing clojure
|
rlm@469
|
924 #+begin_src clojure
|
rlm@466
|
925 (defn joints!
|
rlm@466
|
926 "Connect the solid parts of the creature with physical joints. The
|
rlm@466
|
927 joints are taken from the \"joints\" node in the creature."
|
rlm@466
|
928 [#^Node creature]
|
rlm@466
|
929 (dorun
|
rlm@466
|
930 (map
|
rlm@466
|
931 (fn [joint]
|
rlm@466
|
932 (let [[obj-a obj-b] (joint-targets creature joint)]
|
rlm@466
|
933 (connect obj-a obj-b joint)))
|
rlm@466
|
934 (joints creature))))
|
rlm@466
|
935 (defn body!
|
rlm@466
|
936 "Endow the creature with a physical body connected with joints. The
|
rlm@466
|
937 particulars of the joints and the masses of each body part are
|
rlm@466
|
938 determined in blender."
|
rlm@466
|
939 [#^Node creature]
|
rlm@466
|
940 (physical! creature)
|
rlm@466
|
941 (joints! creature))
|
rlm@469
|
942 #+end_src
|
rlm@469
|
943 #+end_listing
|
rlm@466
|
944
|
rlm@469
|
945 All of the code you have just seen amounts to only 130 lines, yet
|
rlm@469
|
946 because it builds on top of Blender and jMonkeyEngine3, those few
|
rlm@469
|
947 lines pack quite a punch!
|
rlm@466
|
948
|
rlm@469
|
949 The hand from figure \ref{blender-hand}, which was modeled after
|
rlm@469
|
950 my own right hand, can now be given joints and simulated as a
|
rlm@469
|
951 creature.
|
rlm@466
|
952
|
rlm@469
|
953 #+caption: With the ability to create physical creatures from blender,
|
rlm@469
|
954 #+caption: =CORTEX= gets one step closer to becomming a full creature
|
rlm@469
|
955 #+caption: simulation environment.
|
rlm@469
|
956 #+name: name
|
rlm@469
|
957 #+ATTR_LaTeX: :width 15cm
|
rlm@469
|
958 [[./images/physical-hand.png]]
|
rlm@468
|
959
|
rlm@472
|
960 ** COMMENT Eyes reuse standard video game components
|
rlm@436
|
961
|
rlm@470
|
962 Vision is one of the most important senses for humans, so I need to
|
rlm@470
|
963 build a simulated sense of vision for my AI. I will do this with
|
rlm@470
|
964 simulated eyes. Each eye can be independently moved and should see
|
rlm@470
|
965 its own version of the world depending on where it is.
|
rlm@470
|
966
|
rlm@470
|
967 Making these simulated eyes a reality is simple because
|
rlm@470
|
968 jMonkeyEngine already contains extensive support for multiple views
|
rlm@470
|
969 of the same 3D simulated world. The reason jMonkeyEngine has this
|
rlm@470
|
970 support is because the support is necessary to create games with
|
rlm@470
|
971 split-screen views. Multiple views are also used to create
|
rlm@470
|
972 efficient pseudo-reflections by rendering the scene from a certain
|
rlm@470
|
973 perspective and then projecting it back onto a surface in the 3D
|
rlm@470
|
974 world.
|
rlm@470
|
975
|
rlm@470
|
976 #+caption: jMonkeyEngine supports multiple views to enable
|
rlm@470
|
977 #+caption: split-screen games, like GoldenEye, which was one of
|
rlm@470
|
978 #+caption: the first games to use split-screen views.
|
rlm@470
|
979 #+name: name
|
rlm@470
|
980 #+ATTR_LaTeX: :width 10cm
|
rlm@470
|
981 [[./images/goldeneye-4-player.png]]
|
rlm@470
|
982
|
rlm@470
|
983 *** A Brief Description of jMonkeyEngine's Rendering Pipeline
|
rlm@470
|
984
|
rlm@470
|
985 jMonkeyEngine allows you to create a =ViewPort=, which represents a
|
rlm@470
|
986 view of the simulated world. You can create as many of these as you
|
rlm@470
|
987 want. Every frame, the =RenderManager= iterates through each
|
rlm@470
|
988 =ViewPort=, rendering the scene in the GPU. For each =ViewPort= there
|
rlm@470
|
989 is a =FrameBuffer= which represents the rendered image in the GPU.
|
rlm@470
|
990
|
rlm@470
|
991 #+caption: =ViewPorts= are cameras in the world. During each frame,
|
rlm@470
|
992 #+caption: the =RenderManager= records a snapshot of what each view
|
rlm@470
|
993 #+caption: is currently seeing; these snapshots are =FrameBuffer= objects.
|
rlm@470
|
994 #+name: name
|
rlm@470
|
995 #+ATTR_LaTeX: :width 10cm
|
rlm@470
|
996 [[../images/diagram_rendermanager2.png]]
|
rlm@470
|
997
|
rlm@470
|
998 Each =ViewPort= can have any number of attached =SceneProcessor=
|
rlm@470
|
999 objects, which are called every time a new frame is rendered. A
|
rlm@470
|
1000 =SceneProcessor= receives its =ViewPort's= =FrameBuffer= and can do
|
rlm@470
|
1001 whatever it wants to the data. Often this consists of invoking GPU
|
rlm@470
|
1002 specific operations on the rendered image. The =SceneProcessor= can
|
rlm@470
|
1003 also copy the GPU image data to RAM and process it with the CPU.
|
rlm@470
|
1004
|
rlm@470
|
1005 *** Appropriating Views for Vision
|
rlm@470
|
1006
|
rlm@470
|
1007 Each eye in the simulated creature needs its own =ViewPort= so
|
rlm@470
|
1008 that it can see the world from its own perspective. To this
|
rlm@470
|
1009 =ViewPort=, I add a =SceneProcessor= that feeds the visual data to
|
rlm@470
|
1010 any arbitrary continuation function for further processing. That
|
rlm@470
|
1011 continuation function may perform both CPU and GPU operations on
|
rlm@470
|
1012 the data. To make this easy for the continuation function, the
|
rlm@470
|
1013 =SceneProcessor= maintains appropriately sized buffers in RAM to
|
rlm@470
|
1014 hold the data. It does not do any copying from the GPU to the CPU
|
rlm@470
|
1015 itself because it is a slow operation.
|
rlm@470
|
1016
|
rlm@470
|
1017 #+caption: Function to make the rendered secne in jMonkeyEngine
|
rlm@470
|
1018 #+caption: available for further processing.
|
rlm@470
|
1019 #+name: pipeline-1
|
rlm@470
|
1020 #+begin_listing clojure
|
rlm@470
|
1021 #+begin_src clojure
|
rlm@470
|
1022 (defn vision-pipeline
|
rlm@470
|
1023 "Create a SceneProcessor object which wraps a vision processing
|
rlm@470
|
1024 continuation function. The continuation is a function that takes
|
rlm@470
|
1025 [#^Renderer r #^FrameBuffer fb #^ByteBuffer b #^BufferedImage bi],
|
rlm@470
|
1026 each of which has already been appropriately sized."
|
rlm@470
|
1027 [continuation]
|
rlm@470
|
1028 (let [byte-buffer (atom nil)
|
rlm@470
|
1029 renderer (atom nil)
|
rlm@470
|
1030 image (atom nil)]
|
rlm@470
|
1031 (proxy [SceneProcessor] []
|
rlm@470
|
1032 (initialize
|
rlm@470
|
1033 [renderManager viewPort]
|
rlm@470
|
1034 (let [cam (.getCamera viewPort)
|
rlm@470
|
1035 width (.getWidth cam)
|
rlm@470
|
1036 height (.getHeight cam)]
|
rlm@470
|
1037 (reset! renderer (.getRenderer renderManager))
|
rlm@470
|
1038 (reset! byte-buffer
|
rlm@470
|
1039 (BufferUtils/createByteBuffer
|
rlm@470
|
1040 (* width height 4)))
|
rlm@470
|
1041 (reset! image (BufferedImage.
|
rlm@470
|
1042 width height
|
rlm@470
|
1043 BufferedImage/TYPE_4BYTE_ABGR))))
|
rlm@470
|
1044 (isInitialized [] (not (nil? @byte-buffer)))
|
rlm@470
|
1045 (reshape [_ _ _])
|
rlm@470
|
1046 (preFrame [_])
|
rlm@470
|
1047 (postQueue [_])
|
rlm@470
|
1048 (postFrame
|
rlm@470
|
1049 [#^FrameBuffer fb]
|
rlm@470
|
1050 (.clear @byte-buffer)
|
rlm@470
|
1051 (continuation @renderer fb @byte-buffer @image))
|
rlm@470
|
1052 (cleanup []))))
|
rlm@470
|
1053 #+end_src
|
rlm@470
|
1054 #+end_listing
|
rlm@470
|
1055
|
rlm@470
|
1056 The continuation function given to =vision-pipeline= above will be
|
rlm@470
|
1057 given a =Renderer= and three containers for image data. The
|
rlm@470
|
1058 =FrameBuffer= references the GPU image data, but the pixel data
|
rlm@470
|
1059 can not be used directly on the CPU. The =ByteBuffer= and
|
rlm@470
|
1060 =BufferedImage= are initially "empty" but are sized to hold the
|
rlm@470
|
1061 data in the =FrameBuffer=. I call transferring the GPU image data
|
rlm@470
|
1062 to the CPU structures "mixing" the image data.
|
rlm@470
|
1063
|
rlm@470
|
1064 *** Optical sensor arrays are described with images and referenced with metadata
|
rlm@470
|
1065
|
rlm@470
|
1066 The vision pipeline described above handles the flow of rendered
|
rlm@470
|
1067 images. Now, =CORTEX= needs simulated eyes to serve as the source
|
rlm@470
|
1068 of these images.
|
rlm@470
|
1069
|
rlm@470
|
1070 An eye is described in blender in the same way as a joint. They
|
rlm@470
|
1071 are zero dimensional empty objects with no geometry whose local
|
rlm@470
|
1072 coordinate system determines the orientation of the resulting eye.
|
rlm@470
|
1073 All eyes are children of a parent node named "eyes" just as all
|
rlm@470
|
1074 joints have a parent named "joints". An eye binds to the nearest
|
rlm@470
|
1075 physical object with =bind-sense=.
|
rlm@470
|
1076
|
rlm@470
|
1077 #+caption: Here, the camera is created based on metadata on the
|
rlm@470
|
1078 #+caption: eye-node and attached to the nearest physical object
|
rlm@470
|
1079 #+caption: with =bind-sense=
|
rlm@470
|
1080 #+name: add-eye
|
rlm@470
|
1081 #+begin_listing clojure
|
rlm@470
|
1082 (defn add-eye!
|
rlm@470
|
1083 "Create a Camera centered on the current position of 'eye which
|
rlm@470
|
1084 follows the closest physical node in 'creature. The camera will
|
rlm@470
|
1085 point in the X direction and use the Z vector as up as determined
|
rlm@470
|
1086 by the rotation of these vectors in blender coordinate space. Use
|
rlm@470
|
1087 XZY rotation for the node in blender."
|
rlm@470
|
1088 [#^Node creature #^Spatial eye]
|
rlm@470
|
1089 (let [target (closest-node creature eye)
|
rlm@470
|
1090 [cam-width cam-height]
|
rlm@470
|
1091 ;;[640 480] ;; graphics card on laptop doesn't support
|
rlm@470
|
1092 ;; arbitray dimensions.
|
rlm@470
|
1093 (eye-dimensions eye)
|
rlm@470
|
1094 cam (Camera. cam-width cam-height)
|
rlm@470
|
1095 rot (.getWorldRotation eye)]
|
rlm@470
|
1096 (.setLocation cam (.getWorldTranslation eye))
|
rlm@470
|
1097 (.lookAtDirection
|
rlm@470
|
1098 cam ; this part is not a mistake and
|
rlm@470
|
1099 (.mult rot Vector3f/UNIT_X) ; is consistent with using Z in
|
rlm@470
|
1100 (.mult rot Vector3f/UNIT_Y)) ; blender as the UP vector.
|
rlm@470
|
1101 (.setFrustumPerspective
|
rlm@470
|
1102 cam (float 45)
|
rlm@470
|
1103 (float (/ (.getWidth cam) (.getHeight cam)))
|
rlm@470
|
1104 (float 1)
|
rlm@470
|
1105 (float 1000))
|
rlm@470
|
1106 (bind-sense target cam) cam))
|
rlm@470
|
1107 #+end_listing
|
rlm@470
|
1108
|
rlm@470
|
1109 *** Simulated Retina
|
rlm@470
|
1110
|
rlm@470
|
1111 An eye is a surface (the retina) which contains many discrete
|
rlm@470
|
1112 sensors to detect light. These sensors can have different
|
rlm@470
|
1113 light-sensing properties. In humans, each discrete sensor is
|
rlm@470
|
1114 sensitive to red, blue, green, or gray. These different types of
|
rlm@470
|
1115 sensors can have different spatial distributions along the retina.
|
rlm@470
|
1116 In humans, there is a fovea in the center of the retina which has
|
rlm@470
|
1117 a very high density of color sensors, and a blind spot which has
|
rlm@470
|
1118 no sensors at all. Sensor density decreases in proportion to
|
rlm@470
|
1119 distance from the fovea.
|
rlm@470
|
1120
|
rlm@470
|
1121 I want to be able to model any retinal configuration, so my
|
rlm@470
|
1122 eye-nodes in blender contain metadata pointing to images that
|
rlm@470
|
1123 describe the precise position of the individual sensors using
|
rlm@470
|
1124 white pixels. The meta-data also describes the precise sensitivity
|
rlm@470
|
1125 to light that the sensors described in the image have. An eye can
|
rlm@470
|
1126 contain any number of these images. For example, the metadata for
|
rlm@470
|
1127 an eye might look like this:
|
rlm@470
|
1128
|
rlm@470
|
1129 #+begin_src clojure
|
rlm@470
|
1130 {0xFF0000 "Models/test-creature/retina-small.png"}
|
rlm@470
|
1131 #+end_src
|
rlm@470
|
1132
|
rlm@470
|
1133 #+caption: An example retinal profile image. White pixels are
|
rlm@470
|
1134 #+caption: photo-sensitive elements. The distribution of white
|
rlm@470
|
1135 #+caption: pixels is denser in the middle and falls off at the
|
rlm@470
|
1136 #+caption: edges and is inspired by the human retina.
|
rlm@470
|
1137 #+name: retina
|
rlm@470
|
1138 #+ATTR_LaTeX: :width 10cm
|
rlm@470
|
1139 [[./images/retina-small.png]]
|
rlm@470
|
1140
|
rlm@470
|
1141 Together, the number 0xFF0000 and the image image above describe
|
rlm@470
|
1142 the placement of red-sensitive sensory elements.
|
rlm@470
|
1143
|
rlm@470
|
1144 Meta-data to very crudely approximate a human eye might be
|
rlm@470
|
1145 something like this:
|
rlm@470
|
1146
|
rlm@470
|
1147 #+begin_src clojure
|
rlm@470
|
1148 (let [retinal-profile "Models/test-creature/retina-small.png"]
|
rlm@470
|
1149 {0xFF0000 retinal-profile
|
rlm@470
|
1150 0x00FF00 retinal-profile
|
rlm@470
|
1151 0x0000FF retinal-profile
|
rlm@470
|
1152 0xFFFFFF retinal-profile})
|
rlm@470
|
1153 #+end_src
|
rlm@470
|
1154
|
rlm@470
|
1155 The numbers that serve as keys in the map determine a sensor's
|
rlm@470
|
1156 relative sensitivity to the channels red, green, and blue. These
|
rlm@470
|
1157 sensitivity values are packed into an integer in the order
|
rlm@470
|
1158 =|_|R|G|B|= in 8-bit fields. The RGB values of a pixel in the
|
rlm@470
|
1159 image are added together with these sensitivities as linear
|
rlm@470
|
1160 weights. Therefore, 0xFF0000 means sensitive to red only while
|
rlm@470
|
1161 0xFFFFFF means sensitive to all colors equally (gray).
|
rlm@470
|
1162
|
rlm@470
|
1163 #+caption: This is the core of vision in =CORTEX=. A given eye node
|
rlm@470
|
1164 #+caption: is converted into a function that returns visual
|
rlm@470
|
1165 #+caption: information from the simulation.
|
rlm@471
|
1166 #+name: vision-kernel
|
rlm@470
|
1167 #+begin_listing clojure
|
rlm@470
|
1168 (defn vision-kernel
|
rlm@470
|
1169 "Returns a list of functions, each of which will return a color
|
rlm@470
|
1170 channel's worth of visual information when called inside a running
|
rlm@470
|
1171 simulation."
|
rlm@470
|
1172 [#^Node creature #^Spatial eye & {skip :skip :or {skip 0}}]
|
rlm@470
|
1173 (let [retinal-map (retina-sensor-profile eye)
|
rlm@470
|
1174 camera (add-eye! creature eye)
|
rlm@470
|
1175 vision-image
|
rlm@470
|
1176 (atom
|
rlm@470
|
1177 (BufferedImage. (.getWidth camera)
|
rlm@470
|
1178 (.getHeight camera)
|
rlm@470
|
1179 BufferedImage/TYPE_BYTE_BINARY))
|
rlm@470
|
1180 register-eye!
|
rlm@470
|
1181 (runonce
|
rlm@470
|
1182 (fn [world]
|
rlm@470
|
1183 (add-camera!
|
rlm@470
|
1184 world camera
|
rlm@470
|
1185 (let [counter (atom 0)]
|
rlm@470
|
1186 (fn [r fb bb bi]
|
rlm@470
|
1187 (if (zero? (rem (swap! counter inc) (inc skip)))
|
rlm@470
|
1188 (reset! vision-image
|
rlm@470
|
1189 (BufferedImage! r fb bb bi))))))))]
|
rlm@470
|
1190 (vec
|
rlm@470
|
1191 (map
|
rlm@470
|
1192 (fn [[key image]]
|
rlm@470
|
1193 (let [whites (white-coordinates image)
|
rlm@470
|
1194 topology (vec (collapse whites))
|
rlm@470
|
1195 sensitivity (sensitivity-presets key key)]
|
rlm@470
|
1196 (attached-viewport.
|
rlm@470
|
1197 (fn [world]
|
rlm@470
|
1198 (register-eye! world)
|
rlm@470
|
1199 (vector
|
rlm@470
|
1200 topology
|
rlm@470
|
1201 (vec
|
rlm@470
|
1202 (for [[x y] whites]
|
rlm@470
|
1203 (pixel-sense
|
rlm@470
|
1204 sensitivity
|
rlm@470
|
1205 (.getRGB @vision-image x y))))))
|
rlm@470
|
1206 register-eye!)))
|
rlm@470
|
1207 retinal-map))))
|
rlm@470
|
1208 #+end_listing
|
rlm@470
|
1209
|
rlm@470
|
1210 Note that since each of the functions generated by =vision-kernel=
|
rlm@470
|
1211 shares the same =register-eye!= function, the eye will be
|
rlm@470
|
1212 registered only once the first time any of the functions from the
|
rlm@470
|
1213 list returned by =vision-kernel= is called. Each of the functions
|
rlm@470
|
1214 returned by =vision-kernel= also allows access to the =Viewport=
|
rlm@470
|
1215 through which it receives images.
|
rlm@470
|
1216
|
rlm@470
|
1217 All the hard work has been done; all that remains is to apply
|
rlm@470
|
1218 =vision-kernel= to each eye in the creature and gather the results
|
rlm@470
|
1219 into one list of functions.
|
rlm@470
|
1220
|
rlm@470
|
1221
|
rlm@470
|
1222 #+caption: With =vision!=, =CORTEX= is already a fine simulation
|
rlm@470
|
1223 #+caption: environment for experimenting with different types of
|
rlm@470
|
1224 #+caption: eyes.
|
rlm@470
|
1225 #+name: vision!
|
rlm@470
|
1226 #+begin_listing clojure
|
rlm@470
|
1227 (defn vision!
|
rlm@470
|
1228 "Returns a list of functions, each of which returns visual sensory
|
rlm@470
|
1229 data when called inside a running simulation."
|
rlm@470
|
1230 [#^Node creature & {skip :skip :or {skip 0}}]
|
rlm@470
|
1231 (reduce
|
rlm@470
|
1232 concat
|
rlm@470
|
1233 (for [eye (eyes creature)]
|
rlm@470
|
1234 (vision-kernel creature eye))))
|
rlm@470
|
1235 #+end_listing
|
rlm@470
|
1236
|
rlm@471
|
1237 #+caption: Simulated vision with a test creature and the
|
rlm@471
|
1238 #+caption: human-like eye approximation. Notice how each channel
|
rlm@471
|
1239 #+caption: of the eye responds differently to the differently
|
rlm@471
|
1240 #+caption: colored balls.
|
rlm@471
|
1241 #+name: worm-vision-test.
|
rlm@471
|
1242 #+ATTR_LaTeX: :width 13cm
|
rlm@471
|
1243 [[./images/worm-vision.png]]
|
rlm@470
|
1244
|
rlm@471
|
1245 The vision code is not much more complicated than the body code,
|
rlm@471
|
1246 and enables multiple further paths for simulated vision. For
|
rlm@471
|
1247 example, it is quite easy to create bifocal vision -- you just
|
rlm@471
|
1248 make two eyes next to each other in blender! It is also possible
|
rlm@471
|
1249 to encode vision transforms in the retinal files. For example, the
|
rlm@471
|
1250 human like retina file in figure \ref{retina} approximates a
|
rlm@471
|
1251 log-polar transform.
|
rlm@470
|
1252
|
rlm@471
|
1253 This vision code has already been absorbed by the jMonkeyEngine
|
rlm@471
|
1254 community and is now (in modified form) part of a system for
|
rlm@471
|
1255 capturing in-game video to a file.
|
rlm@470
|
1256
|
rlm@473
|
1257 ** COMMENT Hearing is hard; =CORTEX= does it right
|
rlm@473
|
1258
|
rlm@472
|
1259 At the end of this section I will have simulated ears that work the
|
rlm@472
|
1260 same way as the simulated eyes in the last section. I will be able to
|
rlm@472
|
1261 place any number of ear-nodes in a blender file, and they will bind to
|
rlm@472
|
1262 the closest physical object and follow it as it moves around. Each ear
|
rlm@472
|
1263 will provide access to the sound data it picks up between every frame.
|
rlm@472
|
1264
|
rlm@472
|
1265 Hearing is one of the more difficult senses to simulate, because there
|
rlm@472
|
1266 is less support for obtaining the actual sound data that is processed
|
rlm@472
|
1267 by jMonkeyEngine3. There is no "split-screen" support for rendering
|
rlm@472
|
1268 sound from different points of view, and there is no way to directly
|
rlm@472
|
1269 access the rendered sound data.
|
rlm@472
|
1270
|
rlm@472
|
1271 =CORTEX='s hearing is unique because it does not have any
|
rlm@472
|
1272 limitations compared to other simulation environments. As far as I
|
rlm@472
|
1273 know, there is no other system that supports multiple listerers,
|
rlm@472
|
1274 and the sound demo at the end of this section is the first time
|
rlm@472
|
1275 it's been done in a video game environment.
|
rlm@472
|
1276
|
rlm@472
|
1277 *** Brief Description of jMonkeyEngine's Sound System
|
rlm@472
|
1278
|
rlm@472
|
1279 jMonkeyEngine's sound system works as follows:
|
rlm@472
|
1280
|
rlm@472
|
1281 - jMonkeyEngine uses the =AppSettings= for the particular
|
rlm@472
|
1282 application to determine what sort of =AudioRenderer= should be
|
rlm@472
|
1283 used.
|
rlm@472
|
1284 - Although some support is provided for multiple AudioRendering
|
rlm@472
|
1285 backends, jMonkeyEngine at the time of this writing will either
|
rlm@472
|
1286 pick no =AudioRenderer= at all, or the =LwjglAudioRenderer=.
|
rlm@472
|
1287 - jMonkeyEngine tries to figure out what sort of system you're
|
rlm@472
|
1288 running and extracts the appropriate native libraries.
|
rlm@472
|
1289 - The =LwjglAudioRenderer= uses the [[http://lwjgl.org/][=LWJGL=]] (LightWeight Java Game
|
rlm@472
|
1290 Library) bindings to interface with a C library called [[http://kcat.strangesoft.net/openal.html][=OpenAL=]]
|
rlm@472
|
1291 - =OpenAL= renders the 3D sound and feeds the rendered sound
|
rlm@472
|
1292 directly to any of various sound output devices with which it
|
rlm@472
|
1293 knows how to communicate.
|
rlm@472
|
1294
|
rlm@472
|
1295 A consequence of this is that there's no way to access the actual
|
rlm@472
|
1296 sound data produced by =OpenAL=. Even worse, =OpenAL= only supports
|
rlm@472
|
1297 one /listener/ (it renders sound data from only one perspective),
|
rlm@472
|
1298 which normally isn't a problem for games, but becomes a problem
|
rlm@472
|
1299 when trying to make multiple AI creatures that can each hear the
|
rlm@472
|
1300 world from a different perspective.
|
rlm@472
|
1301
|
rlm@472
|
1302 To make many AI creatures in jMonkeyEngine that can each hear the
|
rlm@472
|
1303 world from their own perspective, or to make a single creature with
|
rlm@472
|
1304 many ears, it is necessary to go all the way back to =OpenAL= and
|
rlm@472
|
1305 implement support for simulated hearing there.
|
rlm@472
|
1306
|
rlm@472
|
1307 *** Extending =OpenAl=
|
rlm@472
|
1308
|
rlm@472
|
1309 Extending =OpenAL= to support multiple listeners requires 500
|
rlm@472
|
1310 lines of =C= code and is too hairy to mention here. Instead, I
|
rlm@472
|
1311 will show a small amount of extension code and go over the high
|
rlm@472
|
1312 level stragety. Full source is of course available with the
|
rlm@472
|
1313 =CORTEX= distribution if you're interested.
|
rlm@472
|
1314
|
rlm@472
|
1315 =OpenAL= goes to great lengths to support many different systems,
|
rlm@472
|
1316 all with different sound capabilities and interfaces. It
|
rlm@472
|
1317 accomplishes this difficult task by providing code for many
|
rlm@472
|
1318 different sound backends in pseudo-objects called /Devices/.
|
rlm@472
|
1319 There's a device for the Linux Open Sound System and the Advanced
|
rlm@472
|
1320 Linux Sound Architecture, there's one for Direct Sound on Windows,
|
rlm@472
|
1321 and there's even one for Solaris. =OpenAL= solves the problem of
|
rlm@472
|
1322 platform independence by providing all these Devices.
|
rlm@472
|
1323
|
rlm@472
|
1324 Wrapper libraries such as LWJGL are free to examine the system on
|
rlm@472
|
1325 which they are running and then select an appropriate device for
|
rlm@472
|
1326 that system.
|
rlm@472
|
1327
|
rlm@472
|
1328 There are also a few "special" devices that don't interface with
|
rlm@472
|
1329 any particular system. These include the Null Device, which
|
rlm@472
|
1330 doesn't do anything, and the Wave Device, which writes whatever
|
rlm@472
|
1331 sound it receives to a file, if everything has been set up
|
rlm@472
|
1332 correctly when configuring =OpenAL=.
|
rlm@472
|
1333
|
rlm@472
|
1334 Actual mixing (doppler shift and distance.environment-based
|
rlm@472
|
1335 attenuation) of the sound data happens in the Devices, and they
|
rlm@472
|
1336 are the only point in the sound rendering process where this data
|
rlm@472
|
1337 is available.
|
rlm@472
|
1338
|
rlm@472
|
1339 Therefore, in order to support multiple listeners, and get the
|
rlm@472
|
1340 sound data in a form that the AIs can use, it is necessary to
|
rlm@472
|
1341 create a new Device which supports this feature.
|
rlm@472
|
1342
|
rlm@472
|
1343 Adding a device to OpenAL is rather tricky -- there are five
|
rlm@472
|
1344 separate files in the =OpenAL= source tree that must be modified
|
rlm@472
|
1345 to do so. I named my device the "Multiple Audio Send" Device, or
|
rlm@472
|
1346 =Send= Device for short, since it sends audio data back to the
|
rlm@472
|
1347 calling application like an Aux-Send cable on a mixing board.
|
rlm@472
|
1348
|
rlm@472
|
1349 The main idea behind the Send device is to take advantage of the
|
rlm@472
|
1350 fact that LWJGL only manages one /context/ when using OpenAL. A
|
rlm@472
|
1351 /context/ is like a container that holds samples and keeps track
|
rlm@472
|
1352 of where the listener is. In order to support multiple listeners,
|
rlm@472
|
1353 the Send device identifies the LWJGL context as the master
|
rlm@472
|
1354 context, and creates any number of slave contexts to represent
|
rlm@472
|
1355 additional listeners. Every time the device renders sound, it
|
rlm@472
|
1356 synchronizes every source from the master LWJGL context to the
|
rlm@472
|
1357 slave contexts. Then, it renders each context separately, using a
|
rlm@472
|
1358 different listener for each one. The rendered sound is made
|
rlm@472
|
1359 available via JNI to jMonkeyEngine.
|
rlm@472
|
1360
|
rlm@472
|
1361 Switching between contexts is not the normal operation of a
|
rlm@472
|
1362 Device, and one of the problems with doing so is that a Device
|
rlm@472
|
1363 normally keeps around a few pieces of state such as the
|
rlm@472
|
1364 =ClickRemoval= array above which will become corrupted if the
|
rlm@472
|
1365 contexts are not rendered in parallel. The solution is to create a
|
rlm@472
|
1366 copy of this normally global device state for each context, and
|
rlm@472
|
1367 copy it back and forth into and out of the actual device state
|
rlm@472
|
1368 whenever a context is rendered.
|
rlm@472
|
1369
|
rlm@472
|
1370 The core of the =Send= device is the =syncSources= function, which
|
rlm@472
|
1371 does the job of copying all relevant data from one context to
|
rlm@472
|
1372 another.
|
rlm@472
|
1373
|
rlm@472
|
1374 #+caption: Program for extending =OpenAL= to support multiple
|
rlm@472
|
1375 #+caption: listeners via context copying/switching.
|
rlm@472
|
1376 #+name: sync-openal-sources
|
rlm@472
|
1377 #+begin_listing C
|
rlm@472
|
1378 void syncSources(ALsource *masterSource, ALsource *slaveSource,
|
rlm@472
|
1379 ALCcontext *masterCtx, ALCcontext *slaveCtx){
|
rlm@472
|
1380 ALuint master = masterSource->source;
|
rlm@472
|
1381 ALuint slave = slaveSource->source;
|
rlm@472
|
1382 ALCcontext *current = alcGetCurrentContext();
|
rlm@472
|
1383
|
rlm@472
|
1384 syncSourcef(master,slave,masterCtx,slaveCtx,AL_PITCH);
|
rlm@472
|
1385 syncSourcef(master,slave,masterCtx,slaveCtx,AL_GAIN);
|
rlm@472
|
1386 syncSourcef(master,slave,masterCtx,slaveCtx,AL_MAX_DISTANCE);
|
rlm@472
|
1387 syncSourcef(master,slave,masterCtx,slaveCtx,AL_ROLLOFF_FACTOR);
|
rlm@472
|
1388 syncSourcef(master,slave,masterCtx,slaveCtx,AL_REFERENCE_DISTANCE);
|
rlm@472
|
1389 syncSourcef(master,slave,masterCtx,slaveCtx,AL_MIN_GAIN);
|
rlm@472
|
1390 syncSourcef(master,slave,masterCtx,slaveCtx,AL_MAX_GAIN);
|
rlm@472
|
1391 syncSourcef(master,slave,masterCtx,slaveCtx,AL_CONE_OUTER_GAIN);
|
rlm@472
|
1392 syncSourcef(master,slave,masterCtx,slaveCtx,AL_CONE_INNER_ANGLE);
|
rlm@472
|
1393 syncSourcef(master,slave,masterCtx,slaveCtx,AL_CONE_OUTER_ANGLE);
|
rlm@472
|
1394 syncSourcef(master,slave,masterCtx,slaveCtx,AL_SEC_OFFSET);
|
rlm@472
|
1395 syncSourcef(master,slave,masterCtx,slaveCtx,AL_SAMPLE_OFFSET);
|
rlm@472
|
1396 syncSourcef(master,slave,masterCtx,slaveCtx,AL_BYTE_OFFSET);
|
rlm@472
|
1397
|
rlm@472
|
1398 syncSource3f(master,slave,masterCtx,slaveCtx,AL_POSITION);
|
rlm@472
|
1399 syncSource3f(master,slave,masterCtx,slaveCtx,AL_VELOCITY);
|
rlm@472
|
1400 syncSource3f(master,slave,masterCtx,slaveCtx,AL_DIRECTION);
|
rlm@472
|
1401
|
rlm@472
|
1402 syncSourcei(master,slave,masterCtx,slaveCtx,AL_SOURCE_RELATIVE);
|
rlm@472
|
1403 syncSourcei(master,slave,masterCtx,slaveCtx,AL_LOOPING);
|
rlm@472
|
1404
|
rlm@472
|
1405 alcMakeContextCurrent(masterCtx);
|
rlm@472
|
1406 ALint source_type;
|
rlm@472
|
1407 alGetSourcei(master, AL_SOURCE_TYPE, &source_type);
|
rlm@472
|
1408
|
rlm@472
|
1409 // Only static sources are currently synchronized!
|
rlm@472
|
1410 if (AL_STATIC == source_type){
|
rlm@472
|
1411 ALint master_buffer;
|
rlm@472
|
1412 ALint slave_buffer;
|
rlm@472
|
1413 alGetSourcei(master, AL_BUFFER, &master_buffer);
|
rlm@472
|
1414 alcMakeContextCurrent(slaveCtx);
|
rlm@472
|
1415 alGetSourcei(slave, AL_BUFFER, &slave_buffer);
|
rlm@472
|
1416 if (master_buffer != slave_buffer){
|
rlm@472
|
1417 alSourcei(slave, AL_BUFFER, master_buffer);
|
rlm@472
|
1418 }
|
rlm@472
|
1419 }
|
rlm@472
|
1420
|
rlm@472
|
1421 // Synchronize the state of the two sources.
|
rlm@472
|
1422 alcMakeContextCurrent(masterCtx);
|
rlm@472
|
1423 ALint masterState;
|
rlm@472
|
1424 ALint slaveState;
|
rlm@472
|
1425
|
rlm@472
|
1426 alGetSourcei(master, AL_SOURCE_STATE, &masterState);
|
rlm@472
|
1427 alcMakeContextCurrent(slaveCtx);
|
rlm@472
|
1428 alGetSourcei(slave, AL_SOURCE_STATE, &slaveState);
|
rlm@472
|
1429
|
rlm@472
|
1430 if (masterState != slaveState){
|
rlm@472
|
1431 switch (masterState){
|
rlm@472
|
1432 case AL_INITIAL : alSourceRewind(slave); break;
|
rlm@472
|
1433 case AL_PLAYING : alSourcePlay(slave); break;
|
rlm@472
|
1434 case AL_PAUSED : alSourcePause(slave); break;
|
rlm@472
|
1435 case AL_STOPPED : alSourceStop(slave); break;
|
rlm@472
|
1436 }
|
rlm@472
|
1437 }
|
rlm@472
|
1438 // Restore whatever context was previously active.
|
rlm@472
|
1439 alcMakeContextCurrent(current);
|
rlm@472
|
1440 }
|
rlm@472
|
1441 #+end_listing
|
rlm@472
|
1442
|
rlm@472
|
1443 With this special context-switching device, and some ugly JNI
|
rlm@472
|
1444 bindings that are not worth mentioning, =CORTEX= gains the ability
|
rlm@472
|
1445 to access multiple sound streams from =OpenAL=.
|
rlm@472
|
1446
|
rlm@472
|
1447 #+caption: Program to create an ear from a blender empty node. The ear
|
rlm@472
|
1448 #+caption: follows around the nearest physical object and passes
|
rlm@472
|
1449 #+caption: all sensory data to a continuation function.
|
rlm@472
|
1450 #+name: add-ear
|
rlm@472
|
1451 #+begin_listing clojure
|
rlm@472
|
1452 (defn add-ear!
|
rlm@472
|
1453 "Create a Listener centered on the current position of 'ear
|
rlm@472
|
1454 which follows the closest physical node in 'creature and
|
rlm@472
|
1455 sends sound data to 'continuation."
|
rlm@472
|
1456 [#^Application world #^Node creature #^Spatial ear continuation]
|
rlm@472
|
1457 (let [target (closest-node creature ear)
|
rlm@472
|
1458 lis (Listener.)
|
rlm@472
|
1459 audio-renderer (.getAudioRenderer world)
|
rlm@472
|
1460 sp (hearing-pipeline continuation)]
|
rlm@472
|
1461 (.setLocation lis (.getWorldTranslation ear))
|
rlm@472
|
1462 (.setRotation lis (.getWorldRotation ear))
|
rlm@472
|
1463 (bind-sense target lis)
|
rlm@472
|
1464 (update-listener-velocity! target lis)
|
rlm@472
|
1465 (.addListener audio-renderer lis)
|
rlm@472
|
1466 (.registerSoundProcessor audio-renderer lis sp)))
|
rlm@472
|
1467 #+end_listing
|
rlm@472
|
1468
|
rlm@472
|
1469
|
rlm@472
|
1470 The =Send= device, unlike most of the other devices in =OpenAL=,
|
rlm@472
|
1471 does not render sound unless asked. This enables the system to
|
rlm@472
|
1472 slow down or speed up depending on the needs of the AIs who are
|
rlm@472
|
1473 using it to listen. If the device tried to render samples in
|
rlm@472
|
1474 real-time, a complicated AI whose mind takes 100 seconds of
|
rlm@472
|
1475 computer time to simulate 1 second of AI-time would miss almost
|
rlm@472
|
1476 all of the sound in its environment!
|
rlm@472
|
1477
|
rlm@472
|
1478 #+caption: Program to enable arbitrary hearing in =CORTEX=
|
rlm@472
|
1479 #+name: hearing
|
rlm@472
|
1480 #+begin_listing clojure
|
rlm@472
|
1481 (defn hearing-kernel
|
rlm@472
|
1482 "Returns a function which returns auditory sensory data when called
|
rlm@472
|
1483 inside a running simulation."
|
rlm@472
|
1484 [#^Node creature #^Spatial ear]
|
rlm@472
|
1485 (let [hearing-data (atom [])
|
rlm@472
|
1486 register-listener!
|
rlm@472
|
1487 (runonce
|
rlm@472
|
1488 (fn [#^Application world]
|
rlm@472
|
1489 (add-ear!
|
rlm@472
|
1490 world creature ear
|
rlm@472
|
1491 (comp #(reset! hearing-data %)
|
rlm@472
|
1492 byteBuffer->pulse-vector))))]
|
rlm@472
|
1493 (fn [#^Application world]
|
rlm@472
|
1494 (register-listener! world)
|
rlm@472
|
1495 (let [data @hearing-data
|
rlm@472
|
1496 topology
|
rlm@472
|
1497 (vec (map #(vector % 0) (range 0 (count data))))]
|
rlm@472
|
1498 [topology data]))))
|
rlm@472
|
1499
|
rlm@472
|
1500 (defn hearing!
|
rlm@472
|
1501 "Endow the creature in a particular world with the sense of
|
rlm@472
|
1502 hearing. Will return a sequence of functions, one for each ear,
|
rlm@472
|
1503 which when called will return the auditory data from that ear."
|
rlm@472
|
1504 [#^Node creature]
|
rlm@472
|
1505 (for [ear (ears creature)]
|
rlm@472
|
1506 (hearing-kernel creature ear)))
|
rlm@472
|
1507 #+end_listing
|
rlm@472
|
1508
|
rlm@472
|
1509 Armed with these functions, =CORTEX= is able to test possibly the
|
rlm@472
|
1510 first ever instance of multiple listeners in a video game engine
|
rlm@472
|
1511 based simulation!
|
rlm@472
|
1512
|
rlm@472
|
1513 #+caption: Here a simple creature responds to sound by changing
|
rlm@472
|
1514 #+caption: its color from gray to green when the total volume
|
rlm@472
|
1515 #+caption: goes over a threshold.
|
rlm@472
|
1516 #+name: sound-test
|
rlm@472
|
1517 #+begin_listing java
|
rlm@472
|
1518 /**
|
rlm@472
|
1519 * Respond to sound! This is the brain of an AI entity that
|
rlm@472
|
1520 * hears its surroundings and reacts to them.
|
rlm@472
|
1521 */
|
rlm@472
|
1522 public void process(ByteBuffer audioSamples,
|
rlm@472
|
1523 int numSamples, AudioFormat format) {
|
rlm@472
|
1524 audioSamples.clear();
|
rlm@472
|
1525 byte[] data = new byte[numSamples];
|
rlm@472
|
1526 float[] out = new float[numSamples];
|
rlm@472
|
1527 audioSamples.get(data);
|
rlm@472
|
1528 FloatSampleTools.
|
rlm@472
|
1529 byte2floatInterleaved
|
rlm@472
|
1530 (data, 0, out, 0, numSamples/format.getFrameSize(), format);
|
rlm@472
|
1531
|
rlm@472
|
1532 float max = Float.NEGATIVE_INFINITY;
|
rlm@472
|
1533 for (float f : out){if (f > max) max = f;}
|
rlm@472
|
1534 audioSamples.clear();
|
rlm@472
|
1535
|
rlm@472
|
1536 if (max > 0.1){
|
rlm@472
|
1537 entity.getMaterial().setColor("Color", ColorRGBA.Green);
|
rlm@472
|
1538 }
|
rlm@472
|
1539 else {
|
rlm@472
|
1540 entity.getMaterial().setColor("Color", ColorRGBA.Gray);
|
rlm@472
|
1541 }
|
rlm@472
|
1542 #+end_listing
|
rlm@472
|
1543
|
rlm@472
|
1544 #+caption: First ever simulation of multiple listerners in =CORTEX=.
|
rlm@472
|
1545 #+caption: Each cube is a creature which processes sound data with
|
rlm@472
|
1546 #+caption: the =process= function from listing \ref{sound-test}.
|
rlm@472
|
1547 #+caption: the ball is constantally emiting a pure tone of
|
rlm@472
|
1548 #+caption: constant volume. As it approaches the cubes, they each
|
rlm@472
|
1549 #+caption: change color in response to the sound.
|
rlm@472
|
1550 #+name: sound-cubes.
|
rlm@472
|
1551 #+ATTR_LaTeX: :width 10cm
|
rlm@472
|
1552 [[./images/aurellem-gray.png]]
|
rlm@472
|
1553
|
rlm@472
|
1554 This system of hearing has also been co-opted by the
|
rlm@472
|
1555 jMonkeyEngine3 community and is used to record audio for demo
|
rlm@472
|
1556 videos.
|
rlm@472
|
1557
|
rlm@477
|
1558 ** COMMENT Touch uses hundreds of hair-like elements
|
rlm@436
|
1559
|
rlm@474
|
1560 Touch is critical to navigation and spatial reasoning and as such I
|
rlm@474
|
1561 need a simulated version of it to give to my AI creatures.
|
rlm@474
|
1562
|
rlm@474
|
1563 Human skin has a wide array of touch sensors, each of which
|
rlm@474
|
1564 specialize in detecting different vibrational modes and pressures.
|
rlm@474
|
1565 These sensors can integrate a vast expanse of skin (i.e. your
|
rlm@474
|
1566 entire palm), or a tiny patch of skin at the tip of your finger.
|
rlm@474
|
1567 The hairs of the skin help detect objects before they even come
|
rlm@474
|
1568 into contact with the skin proper.
|
rlm@474
|
1569
|
rlm@474
|
1570 However, touch in my simulated world can not exactly correspond to
|
rlm@474
|
1571 human touch because my creatures are made out of completely rigid
|
rlm@474
|
1572 segments that don't deform like human skin.
|
rlm@474
|
1573
|
rlm@474
|
1574 Instead of measuring deformation or vibration, I surround each
|
rlm@474
|
1575 rigid part with a plenitude of hair-like objects (/feelers/) which
|
rlm@474
|
1576 do not interact with the physical world. Physical objects can pass
|
rlm@474
|
1577 through them with no effect. The feelers are able to tell when
|
rlm@474
|
1578 other objects pass through them, and they constantly report how
|
rlm@474
|
1579 much of their extent is covered. So even though the creature's body
|
rlm@474
|
1580 parts do not deform, the feelers create a margin around those body
|
rlm@474
|
1581 parts which achieves a sense of touch which is a hybrid between a
|
rlm@474
|
1582 human's sense of deformation and sense from hairs.
|
rlm@474
|
1583
|
rlm@474
|
1584 Implementing touch in jMonkeyEngine follows a different technical
|
rlm@474
|
1585 route than vision and hearing. Those two senses piggybacked off
|
rlm@474
|
1586 jMonkeyEngine's 3D audio and video rendering subsystems. To
|
rlm@474
|
1587 simulate touch, I use jMonkeyEngine's physics system to execute
|
rlm@474
|
1588 many small collision detections, one for each feeler. The placement
|
rlm@474
|
1589 of the feelers is determined by a UV-mapped image which shows where
|
rlm@474
|
1590 each feeler should be on the 3D surface of the body.
|
rlm@474
|
1591
|
rlm@477
|
1592 *** Defining Touch Meta-Data in Blender
|
rlm@474
|
1593
|
rlm@474
|
1594 Each geometry can have a single UV map which describes the
|
rlm@474
|
1595 position of the feelers which will constitute its sense of touch.
|
rlm@474
|
1596 This image path is stored under the ``touch'' key. The image itself
|
rlm@474
|
1597 is black and white, with black meaning a feeler length of 0 (no
|
rlm@474
|
1598 feeler is present) and white meaning a feeler length of =scale=,
|
rlm@474
|
1599 which is a float stored under the key "scale".
|
rlm@474
|
1600
|
rlm@475
|
1601 #+caption: Touch does not use empty nodes, to store metadata,
|
rlm@475
|
1602 #+caption: because the metadata of each solid part of a
|
rlm@475
|
1603 #+caption: creature's body is sufficient.
|
rlm@475
|
1604 #+name: touch-meta-data
|
rlm@475
|
1605 #+begin_listing clojure
|
rlm@477
|
1606 #+BEGIN_SRC clojure
|
rlm@474
|
1607 (defn tactile-sensor-profile
|
rlm@474
|
1608 "Return the touch-sensor distribution image in BufferedImage format,
|
rlm@474
|
1609 or nil if it does not exist."
|
rlm@474
|
1610 [#^Geometry obj]
|
rlm@474
|
1611 (if-let [image-path (meta-data obj "touch")]
|
rlm@474
|
1612 (load-image image-path)))
|
rlm@474
|
1613
|
rlm@474
|
1614 (defn tactile-scale
|
rlm@474
|
1615 "Return the length of each feeler. Default scale is 0.01
|
rlm@474
|
1616 jMonkeyEngine units."
|
rlm@474
|
1617 [#^Geometry obj]
|
rlm@474
|
1618 (if-let [scale (meta-data obj "scale")]
|
rlm@474
|
1619 scale 0.1))
|
rlm@477
|
1620 #+END_SRC
|
rlm@475
|
1621 #+end_listing
|
rlm@474
|
1622
|
rlm@475
|
1623 Here is an example of a UV-map which specifies the position of
|
rlm@475
|
1624 touch sensors along the surface of the upper segment of a fingertip.
|
rlm@474
|
1625
|
rlm@475
|
1626 #+caption: This is the tactile-sensor-profile for the upper segment
|
rlm@475
|
1627 #+caption: of a fingertip. It defines regions of high touch sensitivity
|
rlm@475
|
1628 #+caption: (where there are many white pixels) and regions of low
|
rlm@475
|
1629 #+caption: sensitivity (where white pixels are sparse).
|
rlm@475
|
1630 #+name: fimgertip-UV
|
rlm@477
|
1631 #+ATTR_LaTeX: :width 13cm
|
rlm@477
|
1632 [[./images/finger-UV.png]]
|
rlm@474
|
1633
|
rlm@477
|
1634 *** Implementation Summary
|
rlm@474
|
1635
|
rlm@474
|
1636 To simulate touch there are three conceptual steps. For each solid
|
rlm@474
|
1637 object in the creature, you first have to get UV image and scale
|
rlm@474
|
1638 parameter which define the position and length of the feelers.
|
rlm@474
|
1639 Then, you use the triangles which comprise the mesh and the UV
|
rlm@474
|
1640 data stored in the mesh to determine the world-space position and
|
rlm@474
|
1641 orientation of each feeler. Then once every frame, update these
|
rlm@474
|
1642 positions and orientations to match the current position and
|
rlm@474
|
1643 orientation of the object, and use physics collision detection to
|
rlm@474
|
1644 gather tactile data.
|
rlm@474
|
1645
|
rlm@474
|
1646 Extracting the meta-data has already been described. The third
|
rlm@474
|
1647 step, physics collision detection, is handled in =touch-kernel=.
|
rlm@474
|
1648 Translating the positions and orientations of the feelers from the
|
rlm@474
|
1649 UV-map to world-space is itself a three-step process.
|
rlm@474
|
1650
|
rlm@475
|
1651 - Find the triangles which make up the mesh in pixel-space and in
|
rlm@475
|
1652 world-space. (=triangles= =pixel-triangles=).
|
rlm@474
|
1653
|
rlm@475
|
1654 - Find the coordinates of each feeler in world-space. These are
|
rlm@475
|
1655 the origins of the feelers. (=feeler-origins=).
|
rlm@474
|
1656
|
rlm@475
|
1657 - Calculate the normals of the triangles in world space, and add
|
rlm@475
|
1658 them to each of the origins of the feelers. These are the
|
rlm@475
|
1659 normalized coordinates of the tips of the feelers.
|
rlm@475
|
1660 (=feeler-tips=).
|
rlm@474
|
1661
|
rlm@477
|
1662 *** Triangle Math
|
rlm@474
|
1663
|
rlm@475
|
1664 The rigid objects which make up a creature have an underlying
|
rlm@475
|
1665 =Geometry=, which is a =Mesh= plus a =Material= and other
|
rlm@475
|
1666 important data involved with displaying the object.
|
rlm@475
|
1667
|
rlm@475
|
1668 A =Mesh= is composed of =Triangles=, and each =Triangle= has three
|
rlm@475
|
1669 vertices which have coordinates in world space and UV space.
|
rlm@475
|
1670
|
rlm@475
|
1671 Here, =triangles= gets all the world-space triangles which
|
rlm@475
|
1672 comprise a mesh, while =pixel-triangles= gets those same triangles
|
rlm@475
|
1673 expressed in pixel coordinates (which are UV coordinates scaled to
|
rlm@475
|
1674 fit the height and width of the UV image).
|
rlm@474
|
1675
|
rlm@475
|
1676 #+caption: Programs to extract triangles from a geometry and get
|
rlm@475
|
1677 #+caption: their verticies in both world and UV-coordinates.
|
rlm@475
|
1678 #+name: get-triangles
|
rlm@475
|
1679 #+begin_listing clojure
|
rlm@477
|
1680 #+BEGIN_SRC clojure
|
rlm@474
|
1681 (defn triangle
|
rlm@474
|
1682 "Get the triangle specified by triangle-index from the mesh."
|
rlm@474
|
1683 [#^Geometry geo triangle-index]
|
rlm@474
|
1684 (triangle-seq
|
rlm@474
|
1685 (let [scratch (Triangle.)]
|
rlm@474
|
1686 (.getTriangle (.getMesh geo) triangle-index scratch) scratch)))
|
rlm@474
|
1687
|
rlm@474
|
1688 (defn triangles
|
rlm@474
|
1689 "Return a sequence of all the Triangles which comprise a given
|
rlm@474
|
1690 Geometry."
|
rlm@474
|
1691 [#^Geometry geo]
|
rlm@474
|
1692 (map (partial triangle geo) (range (.getTriangleCount (.getMesh geo)))))
|
rlm@474
|
1693
|
rlm@474
|
1694 (defn triangle-vertex-indices
|
rlm@474
|
1695 "Get the triangle vertex indices of a given triangle from a given
|
rlm@474
|
1696 mesh."
|
rlm@474
|
1697 [#^Mesh mesh triangle-index]
|
rlm@474
|
1698 (let [indices (int-array 3)]
|
rlm@474
|
1699 (.getTriangle mesh triangle-index indices)
|
rlm@474
|
1700 (vec indices)))
|
rlm@474
|
1701
|
rlm@475
|
1702 (defn vertex-UV-coord
|
rlm@474
|
1703 "Get the UV-coordinates of the vertex named by vertex-index"
|
rlm@474
|
1704 [#^Mesh mesh vertex-index]
|
rlm@474
|
1705 (let [UV-buffer
|
rlm@474
|
1706 (.getData
|
rlm@474
|
1707 (.getBuffer
|
rlm@474
|
1708 mesh
|
rlm@474
|
1709 VertexBuffer$Type/TexCoord))]
|
rlm@474
|
1710 [(.get UV-buffer (* vertex-index 2))
|
rlm@474
|
1711 (.get UV-buffer (+ 1 (* vertex-index 2)))]))
|
rlm@474
|
1712
|
rlm@474
|
1713 (defn pixel-triangle [#^Geometry geo image index]
|
rlm@474
|
1714 (let [mesh (.getMesh geo)
|
rlm@474
|
1715 width (.getWidth image)
|
rlm@474
|
1716 height (.getHeight image)]
|
rlm@474
|
1717 (vec (map (fn [[u v]] (vector (* width u) (* height v)))
|
rlm@474
|
1718 (map (partial vertex-UV-coord mesh)
|
rlm@474
|
1719 (triangle-vertex-indices mesh index))))))
|
rlm@474
|
1720
|
rlm@474
|
1721 (defn pixel-triangles
|
rlm@474
|
1722 "The pixel-space triangles of the Geometry, in the same order as
|
rlm@474
|
1723 (triangles geo)"
|
rlm@474
|
1724 [#^Geometry geo image]
|
rlm@474
|
1725 (let [height (.getHeight image)
|
rlm@474
|
1726 width (.getWidth image)]
|
rlm@474
|
1727 (map (partial pixel-triangle geo image)
|
rlm@474
|
1728 (range (.getTriangleCount (.getMesh geo))))))
|
rlm@477
|
1729 #+END_SRC
|
rlm@475
|
1730 #+end_listing
|
rlm@475
|
1731
|
rlm@474
|
1732 *** The Affine Transform from one Triangle to Another
|
rlm@474
|
1733
|
rlm@475
|
1734 =pixel-triangles= gives us the mesh triangles expressed in pixel
|
rlm@475
|
1735 coordinates and =triangles= gives us the mesh triangles expressed
|
rlm@475
|
1736 in world coordinates. The tactile-sensor-profile gives the
|
rlm@475
|
1737 position of each feeler in pixel-space. In order to convert
|
rlm@475
|
1738 pixel-space coordinates into world-space coordinates we need
|
rlm@475
|
1739 something that takes coordinates on the surface of one triangle
|
rlm@475
|
1740 and gives the corresponding coordinates on the surface of another
|
rlm@475
|
1741 triangle.
|
rlm@475
|
1742
|
rlm@475
|
1743 Triangles are [[http://mathworld.wolfram.com/AffineTransformation.html ][affine]], which means any triangle can be transformed
|
rlm@475
|
1744 into any other by a combination of translation, scaling, and
|
rlm@475
|
1745 rotation. The affine transformation from one triangle to another
|
rlm@475
|
1746 is readily computable if the triangle is expressed in terms of a
|
rlm@475
|
1747 $4x4$ matrix.
|
rlm@476
|
1748
|
rlm@476
|
1749 #+BEGIN_LaTeX
|
rlm@476
|
1750 $$
|
rlm@475
|
1751 \begin{bmatrix}
|
rlm@475
|
1752 x_1 & x_2 & x_3 & n_x \\
|
rlm@475
|
1753 y_1 & y_2 & y_3 & n_y \\
|
rlm@475
|
1754 z_1 & z_2 & z_3 & n_z \\
|
rlm@475
|
1755 1 & 1 & 1 & 1
|
rlm@475
|
1756 \end{bmatrix}
|
rlm@476
|
1757 $$
|
rlm@476
|
1758 #+END_LaTeX
|
rlm@475
|
1759
|
rlm@475
|
1760 Here, the first three columns of the matrix are the vertices of
|
rlm@475
|
1761 the triangle. The last column is the right-handed unit normal of
|
rlm@475
|
1762 the triangle.
|
rlm@475
|
1763
|
rlm@476
|
1764 With two triangles $T_{1}$ and $T_{2}$ each expressed as a
|
rlm@476
|
1765 matrix like above, the affine transform from $T_{1}$ to $T_{2}$
|
rlm@476
|
1766 is $T_{2}T_{1}^{-1}$.
|
rlm@475
|
1767
|
rlm@475
|
1768 The clojure code below recapitulates the formulas above, using
|
rlm@475
|
1769 jMonkeyEngine's =Matrix4f= objects, which can describe any affine
|
rlm@475
|
1770 transformation.
|
rlm@474
|
1771
|
rlm@475
|
1772 #+caption: Program to interpert triangles as affine transforms.
|
rlm@475
|
1773 #+name: triangle-affine
|
rlm@475
|
1774 #+begin_listing clojure
|
rlm@475
|
1775 #+BEGIN_SRC clojure
|
rlm@474
|
1776 (defn triangle->matrix4f
|
rlm@474
|
1777 "Converts the triangle into a 4x4 matrix: The first three columns
|
rlm@474
|
1778 contain the vertices of the triangle; the last contains the unit
|
rlm@474
|
1779 normal of the triangle. The bottom row is filled with 1s."
|
rlm@474
|
1780 [#^Triangle t]
|
rlm@474
|
1781 (let [mat (Matrix4f.)
|
rlm@474
|
1782 [vert-1 vert-2 vert-3]
|
rlm@474
|
1783 (mapv #(.get t %) (range 3))
|
rlm@474
|
1784 unit-normal (do (.calculateNormal t)(.getNormal t))
|
rlm@474
|
1785 vertices [vert-1 vert-2 vert-3 unit-normal]]
|
rlm@474
|
1786 (dorun
|
rlm@474
|
1787 (for [row (range 4) col (range 3)]
|
rlm@474
|
1788 (do
|
rlm@474
|
1789 (.set mat col row (.get (vertices row) col))
|
rlm@474
|
1790 (.set mat 3 row 1)))) mat))
|
rlm@474
|
1791
|
rlm@474
|
1792 (defn triangles->affine-transform
|
rlm@474
|
1793 "Returns the affine transformation that converts each vertex in the
|
rlm@474
|
1794 first triangle into the corresponding vertex in the second
|
rlm@474
|
1795 triangle."
|
rlm@474
|
1796 [#^Triangle tri-1 #^Triangle tri-2]
|
rlm@474
|
1797 (.mult
|
rlm@474
|
1798 (triangle->matrix4f tri-2)
|
rlm@474
|
1799 (.invert (triangle->matrix4f tri-1))))
|
rlm@475
|
1800 #+END_SRC
|
rlm@475
|
1801 #+end_listing
|
rlm@474
|
1802
|
rlm@477
|
1803 *** Triangle Boundaries
|
rlm@474
|
1804
|
rlm@474
|
1805 For efficiency's sake I will divide the tactile-profile image into
|
rlm@474
|
1806 small squares which inscribe each pixel-triangle, then extract the
|
rlm@474
|
1807 points which lie inside the triangle and map them to 3D-space using
|
rlm@474
|
1808 =triangle-transform= above. To do this I need a function,
|
rlm@474
|
1809 =convex-bounds= which finds the smallest box which inscribes a 2D
|
rlm@474
|
1810 triangle.
|
rlm@474
|
1811
|
rlm@474
|
1812 =inside-triangle?= determines whether a point is inside a triangle
|
rlm@474
|
1813 in 2D pixel-space.
|
rlm@474
|
1814
|
rlm@475
|
1815 #+caption: Program to efficiently determine point includion
|
rlm@475
|
1816 #+caption: in a triangle.
|
rlm@475
|
1817 #+name: in-triangle
|
rlm@475
|
1818 #+begin_listing clojure
|
rlm@475
|
1819 #+BEGIN_SRC clojure
|
rlm@474
|
1820 (defn convex-bounds
|
rlm@474
|
1821 "Returns the smallest square containing the given vertices, as a
|
rlm@474
|
1822 vector of integers [left top width height]."
|
rlm@474
|
1823 [verts]
|
rlm@474
|
1824 (let [xs (map first verts)
|
rlm@474
|
1825 ys (map second verts)
|
rlm@474
|
1826 x0 (Math/floor (apply min xs))
|
rlm@474
|
1827 y0 (Math/floor (apply min ys))
|
rlm@474
|
1828 x1 (Math/ceil (apply max xs))
|
rlm@474
|
1829 y1 (Math/ceil (apply max ys))]
|
rlm@474
|
1830 [x0 y0 (- x1 x0) (- y1 y0)]))
|
rlm@474
|
1831
|
rlm@474
|
1832 (defn same-side?
|
rlm@474
|
1833 "Given the points p1 and p2 and the reference point ref, is point p
|
rlm@474
|
1834 on the same side of the line that goes through p1 and p2 as ref is?"
|
rlm@474
|
1835 [p1 p2 ref p]
|
rlm@474
|
1836 (<=
|
rlm@474
|
1837 0
|
rlm@474
|
1838 (.dot
|
rlm@474
|
1839 (.cross (.subtract p2 p1) (.subtract p p1))
|
rlm@474
|
1840 (.cross (.subtract p2 p1) (.subtract ref p1)))))
|
rlm@474
|
1841
|
rlm@474
|
1842 (defn inside-triangle?
|
rlm@474
|
1843 "Is the point inside the triangle?"
|
rlm@474
|
1844 {:author "Dylan Holmes"}
|
rlm@474
|
1845 [#^Triangle tri #^Vector3f p]
|
rlm@474
|
1846 (let [[vert-1 vert-2 vert-3] [(.get1 tri) (.get2 tri) (.get3 tri)]]
|
rlm@474
|
1847 (and
|
rlm@474
|
1848 (same-side? vert-1 vert-2 vert-3 p)
|
rlm@474
|
1849 (same-side? vert-2 vert-3 vert-1 p)
|
rlm@474
|
1850 (same-side? vert-3 vert-1 vert-2 p))))
|
rlm@475
|
1851 #+END_SRC
|
rlm@475
|
1852 #+end_listing
|
rlm@474
|
1853
|
rlm@477
|
1854 *** Feeler Coordinates
|
rlm@474
|
1855
|
rlm@475
|
1856 The triangle-related functions above make short work of
|
rlm@475
|
1857 calculating the positions and orientations of each feeler in
|
rlm@475
|
1858 world-space.
|
rlm@474
|
1859
|
rlm@475
|
1860 #+caption: Program to get the coordinates of ``feelers '' in
|
rlm@475
|
1861 #+caption: both world and UV-coordinates.
|
rlm@475
|
1862 #+name: feeler-coordinates
|
rlm@475
|
1863 #+begin_listing clojure
|
rlm@475
|
1864 #+BEGIN_SRC clojure
|
rlm@474
|
1865 (defn feeler-pixel-coords
|
rlm@474
|
1866 "Returns the coordinates of the feelers in pixel space in lists, one
|
rlm@474
|
1867 list for each triangle, ordered in the same way as (triangles) and
|
rlm@474
|
1868 (pixel-triangles)."
|
rlm@474
|
1869 [#^Geometry geo image]
|
rlm@474
|
1870 (map
|
rlm@474
|
1871 (fn [pixel-triangle]
|
rlm@474
|
1872 (filter
|
rlm@474
|
1873 (fn [coord]
|
rlm@474
|
1874 (inside-triangle? (->triangle pixel-triangle)
|
rlm@474
|
1875 (->vector3f coord)))
|
rlm@474
|
1876 (white-coordinates image (convex-bounds pixel-triangle))))
|
rlm@474
|
1877 (pixel-triangles geo image)))
|
rlm@474
|
1878
|
rlm@474
|
1879 (defn feeler-world-coords
|
rlm@474
|
1880 "Returns the coordinates of the feelers in world space in lists, one
|
rlm@474
|
1881 list for each triangle, ordered in the same way as (triangles) and
|
rlm@474
|
1882 (pixel-triangles)."
|
rlm@474
|
1883 [#^Geometry geo image]
|
rlm@474
|
1884 (let [transforms
|
rlm@474
|
1885 (map #(triangles->affine-transform
|
rlm@474
|
1886 (->triangle %1) (->triangle %2))
|
rlm@474
|
1887 (pixel-triangles geo image)
|
rlm@474
|
1888 (triangles geo))]
|
rlm@474
|
1889 (map (fn [transform coords]
|
rlm@474
|
1890 (map #(.mult transform (->vector3f %)) coords))
|
rlm@474
|
1891 transforms (feeler-pixel-coords geo image))))
|
rlm@475
|
1892 #+END_SRC
|
rlm@475
|
1893 #+end_listing
|
rlm@474
|
1894
|
rlm@475
|
1895 #+caption: Program to get the position of the base and tip of
|
rlm@475
|
1896 #+caption: each ``feeler''
|
rlm@475
|
1897 #+name: feeler-tips
|
rlm@475
|
1898 #+begin_listing clojure
|
rlm@475
|
1899 #+BEGIN_SRC clojure
|
rlm@474
|
1900 (defn feeler-origins
|
rlm@474
|
1901 "The world space coordinates of the root of each feeler."
|
rlm@474
|
1902 [#^Geometry geo image]
|
rlm@474
|
1903 (reduce concat (feeler-world-coords geo image)))
|
rlm@474
|
1904
|
rlm@474
|
1905 (defn feeler-tips
|
rlm@474
|
1906 "The world space coordinates of the tip of each feeler."
|
rlm@474
|
1907 [#^Geometry geo image]
|
rlm@474
|
1908 (let [world-coords (feeler-world-coords geo image)
|
rlm@474
|
1909 normals
|
rlm@474
|
1910 (map
|
rlm@474
|
1911 (fn [triangle]
|
rlm@474
|
1912 (.calculateNormal triangle)
|
rlm@474
|
1913 (.clone (.getNormal triangle)))
|
rlm@474
|
1914 (map ->triangle (triangles geo)))]
|
rlm@474
|
1915
|
rlm@474
|
1916 (mapcat (fn [origins normal]
|
rlm@474
|
1917 (map #(.add % normal) origins))
|
rlm@474
|
1918 world-coords normals)))
|
rlm@474
|
1919
|
rlm@474
|
1920 (defn touch-topology
|
rlm@474
|
1921 [#^Geometry geo image]
|
rlm@474
|
1922 (collapse (reduce concat (feeler-pixel-coords geo image))))
|
rlm@475
|
1923 #+END_SRC
|
rlm@475
|
1924 #+end_listing
|
rlm@474
|
1925
|
rlm@477
|
1926 *** Simulated Touch
|
rlm@474
|
1927
|
rlm@475
|
1928 Now that the functions to construct feelers are complete,
|
rlm@475
|
1929 =touch-kernel= generates functions to be called from within a
|
rlm@475
|
1930 simulation that perform the necessary physics collisions to
|
rlm@475
|
1931 collect tactile data, and =touch!= recursively applies it to every
|
rlm@475
|
1932 node in the creature.
|
rlm@474
|
1933
|
rlm@475
|
1934 #+caption: Efficient program to transform a ray from
|
rlm@475
|
1935 #+caption: one position to another.
|
rlm@475
|
1936 #+name: set-ray
|
rlm@475
|
1937 #+begin_listing clojure
|
rlm@475
|
1938 #+BEGIN_SRC clojure
|
rlm@474
|
1939 (defn set-ray [#^Ray ray #^Matrix4f transform
|
rlm@474
|
1940 #^Vector3f origin #^Vector3f tip]
|
rlm@474
|
1941 ;; Doing everything locally reduces garbage collection by enough to
|
rlm@474
|
1942 ;; be worth it.
|
rlm@474
|
1943 (.mult transform origin (.getOrigin ray))
|
rlm@474
|
1944 (.mult transform tip (.getDirection ray))
|
rlm@474
|
1945 (.subtractLocal (.getDirection ray) (.getOrigin ray))
|
rlm@474
|
1946 (.normalizeLocal (.getDirection ray)))
|
rlm@475
|
1947 #+END_SRC
|
rlm@475
|
1948 #+end_listing
|
rlm@474
|
1949
|
rlm@475
|
1950 #+caption: This is the core of touch in =CORTEX= each feeler
|
rlm@475
|
1951 #+caption: follows the object it is bound to, reporting any
|
rlm@475
|
1952 #+caption: collisions that may happen.
|
rlm@475
|
1953 #+name: touch-kernel
|
rlm@475
|
1954 #+begin_listing clojure
|
rlm@475
|
1955 #+BEGIN_SRC clojure
|
rlm@474
|
1956 (defn touch-kernel
|
rlm@474
|
1957 "Constructs a function which will return tactile sensory data from
|
rlm@474
|
1958 'geo when called from inside a running simulation"
|
rlm@474
|
1959 [#^Geometry geo]
|
rlm@474
|
1960 (if-let
|
rlm@474
|
1961 [profile (tactile-sensor-profile geo)]
|
rlm@474
|
1962 (let [ray-reference-origins (feeler-origins geo profile)
|
rlm@474
|
1963 ray-reference-tips (feeler-tips geo profile)
|
rlm@474
|
1964 ray-length (tactile-scale geo)
|
rlm@474
|
1965 current-rays (map (fn [_] (Ray.)) ray-reference-origins)
|
rlm@474
|
1966 topology (touch-topology geo profile)
|
rlm@474
|
1967 correction (float (* ray-length -0.2))]
|
rlm@474
|
1968 ;; slight tolerance for very close collisions.
|
rlm@474
|
1969 (dorun
|
rlm@474
|
1970 (map (fn [origin tip]
|
rlm@474
|
1971 (.addLocal origin (.mult (.subtract tip origin)
|
rlm@474
|
1972 correction)))
|
rlm@474
|
1973 ray-reference-origins ray-reference-tips))
|
rlm@474
|
1974 (dorun (map #(.setLimit % ray-length) current-rays))
|
rlm@474
|
1975 (fn [node]
|
rlm@474
|
1976 (let [transform (.getWorldMatrix geo)]
|
rlm@474
|
1977 (dorun
|
rlm@474
|
1978 (map (fn [ray ref-origin ref-tip]
|
rlm@474
|
1979 (set-ray ray transform ref-origin ref-tip))
|
rlm@474
|
1980 current-rays ray-reference-origins
|
rlm@474
|
1981 ray-reference-tips))
|
rlm@474
|
1982 (vector
|
rlm@474
|
1983 topology
|
rlm@474
|
1984 (vec
|
rlm@474
|
1985 (for [ray current-rays]
|
rlm@474
|
1986 (do
|
rlm@474
|
1987 (let [results (CollisionResults.)]
|
rlm@474
|
1988 (.collideWith node ray results)
|
rlm@474
|
1989 (let [touch-objects
|
rlm@474
|
1990 (filter #(not (= geo (.getGeometry %)))
|
rlm@474
|
1991 results)
|
rlm@474
|
1992 limit (.getLimit ray)]
|
rlm@474
|
1993 [(if (empty? touch-objects)
|
rlm@474
|
1994 limit
|
rlm@474
|
1995 (let [response
|
rlm@474
|
1996 (apply min (map #(.getDistance %)
|
rlm@474
|
1997 touch-objects))]
|
rlm@474
|
1998 (FastMath/clamp
|
rlm@474
|
1999 (float
|
rlm@474
|
2000 (if (> response limit) (float 0.0)
|
rlm@474
|
2001 (+ response correction)))
|
rlm@474
|
2002 (float 0.0)
|
rlm@474
|
2003 limit)))
|
rlm@474
|
2004 limit])))))))))))
|
rlm@475
|
2005 #+END_SRC
|
rlm@475
|
2006 #+end_listing
|
rlm@474
|
2007
|
rlm@475
|
2008 Armed with the =touch!= function, =CORTEX= becomes capable of
|
rlm@475
|
2009 giving creatures a sense of touch. A simple test is to create a
|
rlm@475
|
2010 cube that is outfitted with a uniform distrubition of touch
|
rlm@475
|
2011 sensors. It can feel the ground and any balls that it touches.
|
rlm@475
|
2012
|
rlm@475
|
2013 #+caption: =CORTEX= interface for creating touch in a simulated
|
rlm@475
|
2014 #+caption: creature.
|
rlm@475
|
2015 #+name: touch
|
rlm@475
|
2016 #+begin_listing clojure
|
rlm@475
|
2017 #+BEGIN_SRC clojure
|
rlm@474
|
2018 (defn touch!
|
rlm@474
|
2019 "Endow the creature with the sense of touch. Returns a sequence of
|
rlm@474
|
2020 functions, one for each body part with a tactile-sensor-profile,
|
rlm@474
|
2021 each of which when called returns sensory data for that body part."
|
rlm@474
|
2022 [#^Node creature]
|
rlm@474
|
2023 (filter
|
rlm@474
|
2024 (comp not nil?)
|
rlm@474
|
2025 (map touch-kernel
|
rlm@474
|
2026 (filter #(isa? (class %) Geometry)
|
rlm@474
|
2027 (node-seq creature)))))
|
rlm@475
|
2028 #+END_SRC
|
rlm@475
|
2029 #+end_listing
|
rlm@475
|
2030
|
rlm@475
|
2031 The tactile-sensor-profile image for the touch cube is a simple
|
rlm@475
|
2032 cross with a unifom distribution of touch sensors:
|
rlm@474
|
2033
|
rlm@475
|
2034 #+caption: The touch profile for the touch-cube. Each pure white
|
rlm@475
|
2035 #+caption: pixel defines a touch sensitive feeler.
|
rlm@475
|
2036 #+name: touch-cube-uv-map
|
rlm@475
|
2037 #+ATTR_LaTeX: :width 10cm
|
rlm@475
|
2038 [[./images/touch-profile.png]]
|
rlm@474
|
2039
|
rlm@475
|
2040 #+caption: The touch cube reacts to canonballs. The black, red,
|
rlm@475
|
2041 #+caption: and white cross on the right is a visual display of
|
rlm@475
|
2042 #+caption: the creature's touch. White means that it is feeling
|
rlm@475
|
2043 #+caption: something strongly, black is not feeling anything,
|
rlm@475
|
2044 #+caption: and gray is in-between. The cube can feel both the
|
rlm@475
|
2045 #+caption: floor and the ball. Notice that when the ball causes
|
rlm@475
|
2046 #+caption: the cube to tip, that the bottom face can still feel
|
rlm@475
|
2047 #+caption: part of the ground.
|
rlm@475
|
2048 #+name: touch-cube-uv-map
|
rlm@475
|
2049 #+ATTR_LaTeX: :width 15cm
|
rlm@475
|
2050 [[./images/touch-cube.png]]
|
rlm@474
|
2051
|
rlm@480
|
2052 ** COMMENT Proprioception is the sense that makes everything ``real''
|
rlm@436
|
2053
|
rlm@479
|
2054 Close your eyes, and touch your nose with your right index finger.
|
rlm@479
|
2055 How did you do it? You could not see your hand, and neither your
|
rlm@479
|
2056 hand nor your nose could use the sense of touch to guide the path
|
rlm@479
|
2057 of your hand. There are no sound cues, and Taste and Smell
|
rlm@479
|
2058 certainly don't provide any help. You know where your hand is
|
rlm@479
|
2059 without your other senses because of Proprioception.
|
rlm@479
|
2060
|
rlm@479
|
2061 Humans can sometimes loose this sense through viral infections or
|
rlm@479
|
2062 damage to the spinal cord or brain, and when they do, they loose
|
rlm@479
|
2063 the ability to control their own bodies without looking directly at
|
rlm@479
|
2064 the parts they want to move. In [[http://en.wikipedia.org/wiki/The_Man_Who_Mistook_His_Wife_for_a_Hat][The Man Who Mistook His Wife for a
|
rlm@479
|
2065 Hat]], a woman named Christina looses this sense and has to learn how
|
rlm@479
|
2066 to move by carefully watching her arms and legs. She describes
|
rlm@479
|
2067 proprioception as the "eyes of the body, the way the body sees
|
rlm@479
|
2068 itself".
|
rlm@479
|
2069
|
rlm@479
|
2070 Proprioception in humans is mediated by [[http://en.wikipedia.org/wiki/Articular_capsule][joint capsules]], [[http://en.wikipedia.org/wiki/Muscle_spindle][muscle
|
rlm@479
|
2071 spindles]], and the [[http://en.wikipedia.org/wiki/Golgi_tendon_organ][Golgi tendon organs]]. These measure the relative
|
rlm@479
|
2072 positions of each body part by monitoring muscle strain and length.
|
rlm@479
|
2073
|
rlm@479
|
2074 It's clear that this is a vital sense for fluid, graceful movement.
|
rlm@479
|
2075 It's also particularly easy to implement in jMonkeyEngine.
|
rlm@479
|
2076
|
rlm@479
|
2077 My simulated proprioception calculates the relative angles of each
|
rlm@479
|
2078 joint from the rest position defined in the blender file. This
|
rlm@479
|
2079 simulates the muscle-spindles and joint capsules. I will deal with
|
rlm@479
|
2080 Golgi tendon organs, which calculate muscle strain, in the next
|
rlm@479
|
2081 section.
|
rlm@479
|
2082
|
rlm@479
|
2083 *** Helper functions
|
rlm@479
|
2084
|
rlm@479
|
2085 =absolute-angle= calculates the angle between two vectors,
|
rlm@479
|
2086 relative to a third axis vector. This angle is the number of
|
rlm@479
|
2087 radians you have to move counterclockwise around the axis vector
|
rlm@479
|
2088 to get from the first to the second vector. It is not commutative
|
rlm@479
|
2089 like a normal dot-product angle is.
|
rlm@479
|
2090
|
rlm@479
|
2091 The purpose of these functions is to build a system of angle
|
rlm@479
|
2092 measurement that is biologically plausable.
|
rlm@479
|
2093
|
rlm@479
|
2094 #+caption: Program to measure angles along a vector
|
rlm@479
|
2095 #+name: helpers
|
rlm@479
|
2096 #+begin_listing clojure
|
rlm@479
|
2097 #+BEGIN_SRC clojure
|
rlm@479
|
2098 (defn right-handed?
|
rlm@479
|
2099 "true iff the three vectors form a right handed coordinate
|
rlm@479
|
2100 system. The three vectors do not have to be normalized or
|
rlm@479
|
2101 orthogonal."
|
rlm@479
|
2102 [vec1 vec2 vec3]
|
rlm@479
|
2103 (pos? (.dot (.cross vec1 vec2) vec3)))
|
rlm@479
|
2104
|
rlm@479
|
2105 (defn absolute-angle
|
rlm@479
|
2106 "The angle between 'vec1 and 'vec2 around 'axis. In the range
|
rlm@479
|
2107 [0 (* 2 Math/PI)]."
|
rlm@479
|
2108 [vec1 vec2 axis]
|
rlm@479
|
2109 (let [angle (.angleBetween vec1 vec2)]
|
rlm@479
|
2110 (if (right-handed? vec1 vec2 axis)
|
rlm@479
|
2111 angle (- (* 2 Math/PI) angle))))
|
rlm@479
|
2112 #+END_SRC
|
rlm@479
|
2113 #+end_listing
|
rlm@479
|
2114
|
rlm@479
|
2115 *** Proprioception Kernel
|
rlm@479
|
2116
|
rlm@479
|
2117 Given a joint, =proprioception-kernel= produces a function that
|
rlm@479
|
2118 calculates the Euler angles between the the objects the joint
|
rlm@479
|
2119 connects. The only tricky part here is making the angles relative
|
rlm@479
|
2120 to the joint's initial ``straightness''.
|
rlm@479
|
2121
|
rlm@479
|
2122 #+caption: Program to return biologially reasonable proprioceptive
|
rlm@479
|
2123 #+caption: data for each joint.
|
rlm@479
|
2124 #+name: proprioception
|
rlm@479
|
2125 #+begin_listing clojure
|
rlm@479
|
2126 #+BEGIN_SRC clojure
|
rlm@479
|
2127 (defn proprioception-kernel
|
rlm@479
|
2128 "Returns a function which returns proprioceptive sensory data when
|
rlm@479
|
2129 called inside a running simulation."
|
rlm@479
|
2130 [#^Node parts #^Node joint]
|
rlm@479
|
2131 (let [[obj-a obj-b] (joint-targets parts joint)
|
rlm@479
|
2132 joint-rot (.getWorldRotation joint)
|
rlm@479
|
2133 x0 (.mult joint-rot Vector3f/UNIT_X)
|
rlm@479
|
2134 y0 (.mult joint-rot Vector3f/UNIT_Y)
|
rlm@479
|
2135 z0 (.mult joint-rot Vector3f/UNIT_Z)]
|
rlm@479
|
2136 (fn []
|
rlm@479
|
2137 (let [rot-a (.clone (.getWorldRotation obj-a))
|
rlm@479
|
2138 rot-b (.clone (.getWorldRotation obj-b))
|
rlm@479
|
2139 x (.mult rot-a x0)
|
rlm@479
|
2140 y (.mult rot-a y0)
|
rlm@479
|
2141 z (.mult rot-a z0)
|
rlm@479
|
2142
|
rlm@479
|
2143 X (.mult rot-b x0)
|
rlm@479
|
2144 Y (.mult rot-b y0)
|
rlm@479
|
2145 Z (.mult rot-b z0)
|
rlm@479
|
2146 heading (Math/atan2 (.dot X z) (.dot X x))
|
rlm@479
|
2147 pitch (Math/atan2 (.dot X y) (.dot X x))
|
rlm@479
|
2148
|
rlm@479
|
2149 ;; rotate x-vector back to origin
|
rlm@479
|
2150 reverse
|
rlm@479
|
2151 (doto (Quaternion.)
|
rlm@479
|
2152 (.fromAngleAxis
|
rlm@479
|
2153 (.angleBetween X x)
|
rlm@479
|
2154 (let [cross (.normalize (.cross X x))]
|
rlm@479
|
2155 (if (= 0 (.length cross)) y cross))))
|
rlm@479
|
2156 roll (absolute-angle (.mult reverse Y) y x)]
|
rlm@479
|
2157 [heading pitch roll]))))
|
rlm@479
|
2158
|
rlm@479
|
2159 (defn proprioception!
|
rlm@479
|
2160 "Endow the creature with the sense of proprioception. Returns a
|
rlm@479
|
2161 sequence of functions, one for each child of the \"joints\" node in
|
rlm@479
|
2162 the creature, which each report proprioceptive information about
|
rlm@479
|
2163 that joint."
|
rlm@479
|
2164 [#^Node creature]
|
rlm@479
|
2165 ;; extract the body's joints
|
rlm@479
|
2166 (let [senses (map (partial proprioception-kernel creature)
|
rlm@479
|
2167 (joints creature))]
|
rlm@479
|
2168 (fn []
|
rlm@479
|
2169 (map #(%) senses))))
|
rlm@479
|
2170 #+END_SRC
|
rlm@479
|
2171 #+end_listing
|
rlm@479
|
2172
|
rlm@479
|
2173 =proprioception!= maps =proprioception-kernel= across all the
|
rlm@479
|
2174 joints of the creature. It uses the same list of joints that
|
rlm@479
|
2175 =joints= uses. Proprioception is the easiest sense to implement in
|
rlm@479
|
2176 =CORTEX=, and it will play a crucial role when efficiently
|
rlm@479
|
2177 implementing empathy.
|
rlm@479
|
2178
|
rlm@479
|
2179 #+caption: In the upper right corner, the three proprioceptive
|
rlm@479
|
2180 #+caption: angle measurements are displayed. Red is yaw, Green is
|
rlm@479
|
2181 #+caption: pitch, and White is roll.
|
rlm@479
|
2182 #+name: proprio
|
rlm@479
|
2183 #+ATTR_LaTeX: :width 11cm
|
rlm@479
|
2184 [[./images/proprio.png]]
|
rlm@479
|
2185
|
rlm@481
|
2186 ** COMMENT Muscles are both effectors and sensors
|
rlm@481
|
2187
|
rlm@481
|
2188 Surprisingly enough, terrestrial creatures only move by using
|
rlm@481
|
2189 torque applied about their joints. There's not a single straight
|
rlm@481
|
2190 line of force in the human body at all! (A straight line of force
|
rlm@481
|
2191 would correspond to some sort of jet or rocket propulsion.)
|
rlm@481
|
2192
|
rlm@481
|
2193 In humans, muscles are composed of muscle fibers which can contract
|
rlm@481
|
2194 to exert force. The muscle fibers which compose a muscle are
|
rlm@481
|
2195 partitioned into discrete groups which are each controlled by a
|
rlm@481
|
2196 single alpha motor neuron. A single alpha motor neuron might
|
rlm@481
|
2197 control as little as three or as many as one thousand muscle
|
rlm@481
|
2198 fibers. When the alpha motor neuron is engaged by the spinal cord,
|
rlm@481
|
2199 it activates all of the muscle fibers to which it is attached. The
|
rlm@481
|
2200 spinal cord generally engages the alpha motor neurons which control
|
rlm@481
|
2201 few muscle fibers before the motor neurons which control many
|
rlm@481
|
2202 muscle fibers. This recruitment strategy allows for precise
|
rlm@481
|
2203 movements at low strength. The collection of all motor neurons that
|
rlm@481
|
2204 control a muscle is called the motor pool. The brain essentially
|
rlm@481
|
2205 says "activate 30% of the motor pool" and the spinal cord recruits
|
rlm@481
|
2206 motor neurons until 30% are activated. Since the distribution of
|
rlm@481
|
2207 power among motor neurons is unequal and recruitment goes from
|
rlm@481
|
2208 weakest to strongest, the first 30% of the motor pool might be 5%
|
rlm@481
|
2209 of the strength of the muscle.
|
rlm@481
|
2210
|
rlm@481
|
2211 My simulated muscles follow a similar design: Each muscle is
|
rlm@481
|
2212 defined by a 1-D array of numbers (the "motor pool"). Each entry in
|
rlm@481
|
2213 the array represents a motor neuron which controls a number of
|
rlm@481
|
2214 muscle fibers equal to the value of the entry. Each muscle has a
|
rlm@481
|
2215 scalar strength factor which determines the total force the muscle
|
rlm@481
|
2216 can exert when all motor neurons are activated. The effector
|
rlm@481
|
2217 function for a muscle takes a number to index into the motor pool,
|
rlm@481
|
2218 and then "activates" all the motor neurons whose index is lower or
|
rlm@481
|
2219 equal to the number. Each motor-neuron will apply force in
|
rlm@481
|
2220 proportion to its value in the array. Lower values cause less
|
rlm@481
|
2221 force. The lower values can be put at the "beginning" of the 1-D
|
rlm@481
|
2222 array to simulate the layout of actual human muscles, which are
|
rlm@481
|
2223 capable of more precise movements when exerting less force. Or, the
|
rlm@481
|
2224 motor pool can simulate more exotic recruitment strategies which do
|
rlm@481
|
2225 not correspond to human muscles.
|
rlm@481
|
2226
|
rlm@481
|
2227 This 1D array is defined in an image file for ease of
|
rlm@481
|
2228 creation/visualization. Here is an example muscle profile image.
|
rlm@481
|
2229
|
rlm@481
|
2230 #+caption: A muscle profile image that describes the strengths
|
rlm@481
|
2231 #+caption: of each motor neuron in a muscle. White is weakest
|
rlm@481
|
2232 #+caption: and dark red is strongest. This particular pattern
|
rlm@481
|
2233 #+caption: has weaker motor neurons at the beginning, just
|
rlm@481
|
2234 #+caption: like human muscle.
|
rlm@481
|
2235 #+name: muscle-recruit
|
rlm@481
|
2236 #+ATTR_LaTeX: :width 7cm
|
rlm@481
|
2237 [[./images/basic-muscle.png]]
|
rlm@481
|
2238
|
rlm@481
|
2239 *** Muscle meta-data
|
rlm@481
|
2240
|
rlm@481
|
2241 #+caption: Program to deal with loading muscle data from a blender
|
rlm@481
|
2242 #+caption: file's metadata.
|
rlm@481
|
2243 #+name: motor-pool
|
rlm@481
|
2244 #+begin_listing clojure
|
rlm@481
|
2245 #+BEGIN_SRC clojure
|
rlm@481
|
2246 (defn muscle-profile-image
|
rlm@481
|
2247 "Get the muscle-profile image from the node's blender meta-data."
|
rlm@481
|
2248 [#^Node muscle]
|
rlm@481
|
2249 (if-let [image (meta-data muscle "muscle")]
|
rlm@481
|
2250 (load-image image)))
|
rlm@481
|
2251
|
rlm@481
|
2252 (defn muscle-strength
|
rlm@481
|
2253 "Return the strength of this muscle, or 1 if it is not defined."
|
rlm@481
|
2254 [#^Node muscle]
|
rlm@481
|
2255 (if-let [strength (meta-data muscle "strength")]
|
rlm@481
|
2256 strength 1))
|
rlm@481
|
2257
|
rlm@481
|
2258 (defn motor-pool
|
rlm@481
|
2259 "Return a vector where each entry is the strength of the \"motor
|
rlm@481
|
2260 neuron\" at that part in the muscle."
|
rlm@481
|
2261 [#^Node muscle]
|
rlm@481
|
2262 (let [profile (muscle-profile-image muscle)]
|
rlm@481
|
2263 (vec
|
rlm@481
|
2264 (let [width (.getWidth profile)]
|
rlm@481
|
2265 (for [x (range width)]
|
rlm@481
|
2266 (- 255
|
rlm@481
|
2267 (bit-and
|
rlm@481
|
2268 0x0000FF
|
rlm@481
|
2269 (.getRGB profile x 0))))))))
|
rlm@481
|
2270 #+END_SRC
|
rlm@481
|
2271 #+end_listing
|
rlm@481
|
2272
|
rlm@481
|
2273 Of note here is =motor-pool= which interprets the muscle-profile
|
rlm@481
|
2274 image in a way that allows me to use gradients between white and
|
rlm@481
|
2275 red, instead of shades of gray as I've been using for all the
|
rlm@481
|
2276 other senses. This is purely an aesthetic touch.
|
rlm@481
|
2277
|
rlm@481
|
2278 *** Creating muscles
|
rlm@481
|
2279
|
rlm@481
|
2280 #+caption: This is the core movement functoion in =CORTEX=, which
|
rlm@481
|
2281 #+caption: implements muscles that report on their activation.
|
rlm@481
|
2282 #+name: muscle-kernel
|
rlm@481
|
2283 #+begin_listing clojure
|
rlm@481
|
2284 #+BEGIN_SRC clojure
|
rlm@481
|
2285 (defn movement-kernel
|
rlm@481
|
2286 "Returns a function which when called with a integer value inside a
|
rlm@481
|
2287 running simulation will cause movement in the creature according
|
rlm@481
|
2288 to the muscle's position and strength profile. Each function
|
rlm@481
|
2289 returns the amount of force applied / max force."
|
rlm@481
|
2290 [#^Node creature #^Node muscle]
|
rlm@481
|
2291 (let [target (closest-node creature muscle)
|
rlm@481
|
2292 axis
|
rlm@481
|
2293 (.mult (.getWorldRotation muscle) Vector3f/UNIT_Y)
|
rlm@481
|
2294 strength (muscle-strength muscle)
|
rlm@481
|
2295
|
rlm@481
|
2296 pool (motor-pool muscle)
|
rlm@481
|
2297 pool-integral (reductions + pool)
|
rlm@481
|
2298 forces
|
rlm@481
|
2299 (vec (map #(float (* strength (/ % (last pool-integral))))
|
rlm@481
|
2300 pool-integral))
|
rlm@481
|
2301 control (.getControl target RigidBodyControl)]
|
rlm@481
|
2302 ;;(println-repl (.getName target) axis)
|
rlm@481
|
2303 (fn [n]
|
rlm@481
|
2304 (let [pool-index (max 0 (min n (dec (count pool))))
|
rlm@481
|
2305 force (forces pool-index)]
|
rlm@481
|
2306 (.applyTorque control (.mult axis force))
|
rlm@481
|
2307 (float (/ force strength))))))
|
rlm@481
|
2308
|
rlm@481
|
2309 (defn movement!
|
rlm@481
|
2310 "Endow the creature with the power of movement. Returns a sequence
|
rlm@481
|
2311 of functions, each of which accept an integer value and will
|
rlm@481
|
2312 activate their corresponding muscle."
|
rlm@481
|
2313 [#^Node creature]
|
rlm@481
|
2314 (for [muscle (muscles creature)]
|
rlm@481
|
2315 (movement-kernel creature muscle)))
|
rlm@481
|
2316 #+END_SRC
|
rlm@481
|
2317 #+end_listing
|
rlm@481
|
2318
|
rlm@481
|
2319
|
rlm@481
|
2320 =movement-kernel= creates a function that will move the nearest
|
rlm@481
|
2321 physical object to the muscle node. The muscle exerts a rotational
|
rlm@481
|
2322 force dependent on it's orientation to the object in the blender
|
rlm@481
|
2323 file. The function returned by =movement-kernel= is also a sense
|
rlm@481
|
2324 function: it returns the percent of the total muscle strength that
|
rlm@481
|
2325 is currently being employed. This is analogous to muscle tension
|
rlm@481
|
2326 in humans and completes the sense of proprioception begun in the
|
rlm@481
|
2327 last section.
|
rlm@481
|
2328
|
rlm@481
|
2329
|
rlm@481
|
2330
|
rlm@436
|
2331 ** =CORTEX= brings complex creatures to life!
|
rlm@436
|
2332
|
rlm@436
|
2333 ** =CORTEX= enables many possiblities for further research
|
rlm@474
|
2334
|
rlm@465
|
2335 * COMMENT Empathy in a simulated worm
|
rlm@435
|
2336
|
rlm@449
|
2337 Here I develop a computational model of empathy, using =CORTEX= as a
|
rlm@449
|
2338 base. Empathy in this context is the ability to observe another
|
rlm@449
|
2339 creature and infer what sorts of sensations that creature is
|
rlm@449
|
2340 feeling. My empathy algorithm involves multiple phases. First is
|
rlm@449
|
2341 free-play, where the creature moves around and gains sensory
|
rlm@449
|
2342 experience. From this experience I construct a representation of the
|
rlm@449
|
2343 creature's sensory state space, which I call \Phi-space. Using
|
rlm@449
|
2344 \Phi-space, I construct an efficient function which takes the
|
rlm@449
|
2345 limited data that comes from observing another creature and enriches
|
rlm@449
|
2346 it full compliment of imagined sensory data. I can then use the
|
rlm@449
|
2347 imagined sensory data to recognize what the observed creature is
|
rlm@449
|
2348 doing and feeling, using straightforward embodied action predicates.
|
rlm@449
|
2349 This is all demonstrated with using a simple worm-like creature, and
|
rlm@449
|
2350 recognizing worm-actions based on limited data.
|
rlm@449
|
2351
|
rlm@449
|
2352 #+caption: Here is the worm with which we will be working.
|
rlm@449
|
2353 #+caption: It is composed of 5 segments. Each segment has a
|
rlm@449
|
2354 #+caption: pair of extensor and flexor muscles. Each of the
|
rlm@449
|
2355 #+caption: worm's four joints is a hinge joint which allows
|
rlm@451
|
2356 #+caption: about 30 degrees of rotation to either side. Each segment
|
rlm@449
|
2357 #+caption: of the worm is touch-capable and has a uniform
|
rlm@449
|
2358 #+caption: distribution of touch sensors on each of its faces.
|
rlm@449
|
2359 #+caption: Each joint has a proprioceptive sense to detect
|
rlm@449
|
2360 #+caption: relative positions. The worm segments are all the
|
rlm@449
|
2361 #+caption: same except for the first one, which has a much
|
rlm@449
|
2362 #+caption: higher weight than the others to allow for easy
|
rlm@449
|
2363 #+caption: manual motor control.
|
rlm@449
|
2364 #+name: basic-worm-view
|
rlm@449
|
2365 #+ATTR_LaTeX: :width 10cm
|
rlm@449
|
2366 [[./images/basic-worm-view.png]]
|
rlm@449
|
2367
|
rlm@449
|
2368 #+caption: Program for reading a worm from a blender file and
|
rlm@449
|
2369 #+caption: outfitting it with the senses of proprioception,
|
rlm@449
|
2370 #+caption: touch, and the ability to move, as specified in the
|
rlm@449
|
2371 #+caption: blender file.
|
rlm@449
|
2372 #+name: get-worm
|
rlm@449
|
2373 #+begin_listing clojure
|
rlm@449
|
2374 #+begin_src clojure
|
rlm@449
|
2375 (defn worm []
|
rlm@449
|
2376 (let [model (load-blender-model "Models/worm/worm.blend")]
|
rlm@449
|
2377 {:body (doto model (body!))
|
rlm@449
|
2378 :touch (touch! model)
|
rlm@449
|
2379 :proprioception (proprioception! model)
|
rlm@449
|
2380 :muscles (movement! model)}))
|
rlm@449
|
2381 #+end_src
|
rlm@449
|
2382 #+end_listing
|
rlm@452
|
2383
|
rlm@436
|
2384 ** Embodiment factors action recognition into managable parts
|
rlm@435
|
2385
|
rlm@449
|
2386 Using empathy, I divide the problem of action recognition into a
|
rlm@449
|
2387 recognition process expressed in the language of a full compliment
|
rlm@449
|
2388 of senses, and an imaganitive process that generates full sensory
|
rlm@449
|
2389 data from partial sensory data. Splitting the action recognition
|
rlm@449
|
2390 problem in this manner greatly reduces the total amount of work to
|
rlm@449
|
2391 recognize actions: The imaganitive process is mostly just matching
|
rlm@449
|
2392 previous experience, and the recognition process gets to use all
|
rlm@449
|
2393 the senses to directly describe any action.
|
rlm@449
|
2394
|
rlm@436
|
2395 ** Action recognition is easy with a full gamut of senses
|
rlm@435
|
2396
|
rlm@449
|
2397 Embodied representations using multiple senses such as touch,
|
rlm@449
|
2398 proprioception, and muscle tension turns out be be exceedingly
|
rlm@449
|
2399 efficient at describing body-centered actions. It is the ``right
|
rlm@449
|
2400 language for the job''. For example, it takes only around 5 lines
|
rlm@449
|
2401 of LISP code to describe the action of ``curling'' using embodied
|
rlm@451
|
2402 primitives. It takes about 10 lines to describe the seemingly
|
rlm@449
|
2403 complicated action of wiggling.
|
rlm@449
|
2404
|
rlm@449
|
2405 The following action predicates each take a stream of sensory
|
rlm@449
|
2406 experience, observe however much of it they desire, and decide
|
rlm@449
|
2407 whether the worm is doing the action they describe. =curled?=
|
rlm@449
|
2408 relies on proprioception, =resting?= relies on touch, =wiggling?=
|
rlm@449
|
2409 relies on a fourier analysis of muscle contraction, and
|
rlm@449
|
2410 =grand-circle?= relies on touch and reuses =curled?= as a gaurd.
|
rlm@449
|
2411
|
rlm@449
|
2412 #+caption: Program for detecting whether the worm is curled. This is the
|
rlm@449
|
2413 #+caption: simplest action predicate, because it only uses the last frame
|
rlm@449
|
2414 #+caption: of sensory experience, and only uses proprioceptive data. Even
|
rlm@449
|
2415 #+caption: this simple predicate, however, is automatically frame
|
rlm@449
|
2416 #+caption: independent and ignores vermopomorphic differences such as
|
rlm@449
|
2417 #+caption: worm textures and colors.
|
rlm@449
|
2418 #+name: curled
|
rlm@452
|
2419 #+attr_latex: [htpb]
|
rlm@452
|
2420 #+begin_listing clojure
|
rlm@449
|
2421 #+begin_src clojure
|
rlm@449
|
2422 (defn curled?
|
rlm@449
|
2423 "Is the worm curled up?"
|
rlm@449
|
2424 [experiences]
|
rlm@449
|
2425 (every?
|
rlm@449
|
2426 (fn [[_ _ bend]]
|
rlm@449
|
2427 (> (Math/sin bend) 0.64))
|
rlm@449
|
2428 (:proprioception (peek experiences))))
|
rlm@449
|
2429 #+end_src
|
rlm@449
|
2430 #+end_listing
|
rlm@449
|
2431
|
rlm@449
|
2432 #+caption: Program for summarizing the touch information in a patch
|
rlm@449
|
2433 #+caption: of skin.
|
rlm@449
|
2434 #+name: touch-summary
|
rlm@452
|
2435 #+attr_latex: [htpb]
|
rlm@452
|
2436
|
rlm@452
|
2437 #+begin_listing clojure
|
rlm@449
|
2438 #+begin_src clojure
|
rlm@449
|
2439 (defn contact
|
rlm@449
|
2440 "Determine how much contact a particular worm segment has with
|
rlm@449
|
2441 other objects. Returns a value between 0 and 1, where 1 is full
|
rlm@449
|
2442 contact and 0 is no contact."
|
rlm@449
|
2443 [touch-region [coords contact :as touch]]
|
rlm@449
|
2444 (-> (zipmap coords contact)
|
rlm@449
|
2445 (select-keys touch-region)
|
rlm@449
|
2446 (vals)
|
rlm@449
|
2447 (#(map first %))
|
rlm@449
|
2448 (average)
|
rlm@449
|
2449 (* 10)
|
rlm@449
|
2450 (- 1)
|
rlm@449
|
2451 (Math/abs)))
|
rlm@449
|
2452 #+end_src
|
rlm@449
|
2453 #+end_listing
|
rlm@449
|
2454
|
rlm@449
|
2455
|
rlm@449
|
2456 #+caption: Program for detecting whether the worm is at rest. This program
|
rlm@449
|
2457 #+caption: uses a summary of the tactile information from the underbelly
|
rlm@449
|
2458 #+caption: of the worm, and is only true if every segment is touching the
|
rlm@449
|
2459 #+caption: floor. Note that this function contains no references to
|
rlm@449
|
2460 #+caption: proprioction at all.
|
rlm@449
|
2461 #+name: resting
|
rlm@452
|
2462 #+attr_latex: [htpb]
|
rlm@452
|
2463 #+begin_listing clojure
|
rlm@449
|
2464 #+begin_src clojure
|
rlm@449
|
2465 (def worm-segment-bottom (rect-region [8 15] [14 22]))
|
rlm@449
|
2466
|
rlm@449
|
2467 (defn resting?
|
rlm@449
|
2468 "Is the worm resting on the ground?"
|
rlm@449
|
2469 [experiences]
|
rlm@449
|
2470 (every?
|
rlm@449
|
2471 (fn [touch-data]
|
rlm@449
|
2472 (< 0.9 (contact worm-segment-bottom touch-data)))
|
rlm@449
|
2473 (:touch (peek experiences))))
|
rlm@449
|
2474 #+end_src
|
rlm@449
|
2475 #+end_listing
|
rlm@449
|
2476
|
rlm@449
|
2477 #+caption: Program for detecting whether the worm is curled up into a
|
rlm@449
|
2478 #+caption: full circle. Here the embodied approach begins to shine, as
|
rlm@449
|
2479 #+caption: I am able to both use a previous action predicate (=curled?=)
|
rlm@449
|
2480 #+caption: as well as the direct tactile experience of the head and tail.
|
rlm@449
|
2481 #+name: grand-circle
|
rlm@452
|
2482 #+attr_latex: [htpb]
|
rlm@452
|
2483 #+begin_listing clojure
|
rlm@449
|
2484 #+begin_src clojure
|
rlm@449
|
2485 (def worm-segment-bottom-tip (rect-region [15 15] [22 22]))
|
rlm@449
|
2486
|
rlm@449
|
2487 (def worm-segment-top-tip (rect-region [0 15] [7 22]))
|
rlm@449
|
2488
|
rlm@449
|
2489 (defn grand-circle?
|
rlm@449
|
2490 "Does the worm form a majestic circle (one end touching the other)?"
|
rlm@449
|
2491 [experiences]
|
rlm@449
|
2492 (and (curled? experiences)
|
rlm@449
|
2493 (let [worm-touch (:touch (peek experiences))
|
rlm@449
|
2494 tail-touch (worm-touch 0)
|
rlm@449
|
2495 head-touch (worm-touch 4)]
|
rlm@449
|
2496 (and (< 0.55 (contact worm-segment-bottom-tip tail-touch))
|
rlm@449
|
2497 (< 0.55 (contact worm-segment-top-tip head-touch))))))
|
rlm@449
|
2498 #+end_src
|
rlm@449
|
2499 #+end_listing
|
rlm@449
|
2500
|
rlm@449
|
2501
|
rlm@449
|
2502 #+caption: Program for detecting whether the worm has been wiggling for
|
rlm@449
|
2503 #+caption: the last few frames. It uses a fourier analysis of the muscle
|
rlm@449
|
2504 #+caption: contractions of the worm's tail to determine wiggling. This is
|
rlm@449
|
2505 #+caption: signigicant because there is no particular frame that clearly
|
rlm@449
|
2506 #+caption: indicates that the worm is wiggling --- only when multiple frames
|
rlm@449
|
2507 #+caption: are analyzed together is the wiggling revealed. Defining
|
rlm@449
|
2508 #+caption: wiggling this way also gives the worm an opportunity to learn
|
rlm@449
|
2509 #+caption: and recognize ``frustrated wiggling'', where the worm tries to
|
rlm@449
|
2510 #+caption: wiggle but can't. Frustrated wiggling is very visually different
|
rlm@449
|
2511 #+caption: from actual wiggling, but this definition gives it to us for free.
|
rlm@449
|
2512 #+name: wiggling
|
rlm@452
|
2513 #+attr_latex: [htpb]
|
rlm@452
|
2514 #+begin_listing clojure
|
rlm@449
|
2515 #+begin_src clojure
|
rlm@449
|
2516 (defn fft [nums]
|
rlm@449
|
2517 (map
|
rlm@449
|
2518 #(.getReal %)
|
rlm@449
|
2519 (.transform
|
rlm@449
|
2520 (FastFourierTransformer. DftNormalization/STANDARD)
|
rlm@449
|
2521 (double-array nums) TransformType/FORWARD)))
|
rlm@449
|
2522
|
rlm@449
|
2523 (def indexed (partial map-indexed vector))
|
rlm@449
|
2524
|
rlm@449
|
2525 (defn max-indexed [s]
|
rlm@449
|
2526 (first (sort-by (comp - second) (indexed s))))
|
rlm@449
|
2527
|
rlm@449
|
2528 (defn wiggling?
|
rlm@449
|
2529 "Is the worm wiggling?"
|
rlm@449
|
2530 [experiences]
|
rlm@449
|
2531 (let [analysis-interval 0x40]
|
rlm@449
|
2532 (when (> (count experiences) analysis-interval)
|
rlm@449
|
2533 (let [a-flex 3
|
rlm@449
|
2534 a-ex 2
|
rlm@449
|
2535 muscle-activity
|
rlm@449
|
2536 (map :muscle (vector:last-n experiences analysis-interval))
|
rlm@449
|
2537 base-activity
|
rlm@449
|
2538 (map #(- (% a-flex) (% a-ex)) muscle-activity)]
|
rlm@449
|
2539 (= 2
|
rlm@449
|
2540 (first
|
rlm@449
|
2541 (max-indexed
|
rlm@449
|
2542 (map #(Math/abs %)
|
rlm@449
|
2543 (take 20 (fft base-activity))))))))))
|
rlm@449
|
2544 #+end_src
|
rlm@449
|
2545 #+end_listing
|
rlm@449
|
2546
|
rlm@449
|
2547 With these action predicates, I can now recognize the actions of
|
rlm@449
|
2548 the worm while it is moving under my control and I have access to
|
rlm@449
|
2549 all the worm's senses.
|
rlm@449
|
2550
|
rlm@449
|
2551 #+caption: Use the action predicates defined earlier to report on
|
rlm@449
|
2552 #+caption: what the worm is doing while in simulation.
|
rlm@449
|
2553 #+name: report-worm-activity
|
rlm@452
|
2554 #+attr_latex: [htpb]
|
rlm@452
|
2555 #+begin_listing clojure
|
rlm@449
|
2556 #+begin_src clojure
|
rlm@449
|
2557 (defn debug-experience
|
rlm@449
|
2558 [experiences text]
|
rlm@449
|
2559 (cond
|
rlm@449
|
2560 (grand-circle? experiences) (.setText text "Grand Circle")
|
rlm@449
|
2561 (curled? experiences) (.setText text "Curled")
|
rlm@449
|
2562 (wiggling? experiences) (.setText text "Wiggling")
|
rlm@449
|
2563 (resting? experiences) (.setText text "Resting")))
|
rlm@449
|
2564 #+end_src
|
rlm@449
|
2565 #+end_listing
|
rlm@449
|
2566
|
rlm@449
|
2567 #+caption: Using =debug-experience=, the body-centered predicates
|
rlm@449
|
2568 #+caption: work together to classify the behaviour of the worm.
|
rlm@451
|
2569 #+caption: the predicates are operating with access to the worm's
|
rlm@451
|
2570 #+caption: full sensory data.
|
rlm@449
|
2571 #+name: basic-worm-view
|
rlm@449
|
2572 #+ATTR_LaTeX: :width 10cm
|
rlm@449
|
2573 [[./images/worm-identify-init.png]]
|
rlm@449
|
2574
|
rlm@449
|
2575 These action predicates satisfy the recognition requirement of an
|
rlm@451
|
2576 empathic recognition system. There is power in the simplicity of
|
rlm@451
|
2577 the action predicates. They describe their actions without getting
|
rlm@451
|
2578 confused in visual details of the worm. Each one is frame
|
rlm@451
|
2579 independent, but more than that, they are each indepent of
|
rlm@449
|
2580 irrelevant visual details of the worm and the environment. They
|
rlm@449
|
2581 will work regardless of whether the worm is a different color or
|
rlm@451
|
2582 hevaily textured, or if the environment has strange lighting.
|
rlm@449
|
2583
|
rlm@449
|
2584 The trick now is to make the action predicates work even when the
|
rlm@449
|
2585 sensory data on which they depend is absent. If I can do that, then
|
rlm@449
|
2586 I will have gained much,
|
rlm@435
|
2587
|
rlm@436
|
2588 ** \Phi-space describes the worm's experiences
|
rlm@449
|
2589
|
rlm@449
|
2590 As a first step towards building empathy, I need to gather all of
|
rlm@449
|
2591 the worm's experiences during free play. I use a simple vector to
|
rlm@449
|
2592 store all the experiences.
|
rlm@449
|
2593
|
rlm@449
|
2594 Each element of the experience vector exists in the vast space of
|
rlm@449
|
2595 all possible worm-experiences. Most of this vast space is actually
|
rlm@449
|
2596 unreachable due to physical constraints of the worm's body. For
|
rlm@449
|
2597 example, the worm's segments are connected by hinge joints that put
|
rlm@451
|
2598 a practical limit on the worm's range of motions without limiting
|
rlm@451
|
2599 its degrees of freedom. Some groupings of senses are impossible;
|
rlm@451
|
2600 the worm can not be bent into a circle so that its ends are
|
rlm@451
|
2601 touching and at the same time not also experience the sensation of
|
rlm@451
|
2602 touching itself.
|
rlm@449
|
2603
|
rlm@451
|
2604 As the worm moves around during free play and its experience vector
|
rlm@451
|
2605 grows larger, the vector begins to define a subspace which is all
|
rlm@451
|
2606 the sensations the worm can practicaly experience during normal
|
rlm@451
|
2607 operation. I call this subspace \Phi-space, short for
|
rlm@451
|
2608 physical-space. The experience vector defines a path through
|
rlm@451
|
2609 \Phi-space. This path has interesting properties that all derive
|
rlm@451
|
2610 from physical embodiment. The proprioceptive components are
|
rlm@451
|
2611 completely smooth, because in order for the worm to move from one
|
rlm@451
|
2612 position to another, it must pass through the intermediate
|
rlm@451
|
2613 positions. The path invariably forms loops as actions are repeated.
|
rlm@451
|
2614 Finally and most importantly, proprioception actually gives very
|
rlm@451
|
2615 strong inference about the other senses. For example, when the worm
|
rlm@451
|
2616 is flat, you can infer that it is touching the ground and that its
|
rlm@451
|
2617 muscles are not active, because if the muscles were active, the
|
rlm@451
|
2618 worm would be moving and would not be perfectly flat. In order to
|
rlm@451
|
2619 stay flat, the worm has to be touching the ground, or it would
|
rlm@451
|
2620 again be moving out of the flat position due to gravity. If the
|
rlm@451
|
2621 worm is positioned in such a way that it interacts with itself,
|
rlm@451
|
2622 then it is very likely to be feeling the same tactile feelings as
|
rlm@451
|
2623 the last time it was in that position, because it has the same body
|
rlm@451
|
2624 as then. If you observe multiple frames of proprioceptive data,
|
rlm@451
|
2625 then you can become increasingly confident about the exact
|
rlm@451
|
2626 activations of the worm's muscles, because it generally takes a
|
rlm@451
|
2627 unique combination of muscle contractions to transform the worm's
|
rlm@451
|
2628 body along a specific path through \Phi-space.
|
rlm@449
|
2629
|
rlm@449
|
2630 There is a simple way of taking \Phi-space and the total ordering
|
rlm@449
|
2631 provided by an experience vector and reliably infering the rest of
|
rlm@449
|
2632 the senses.
|
rlm@435
|
2633
|
rlm@436
|
2634 ** Empathy is the process of tracing though \Phi-space
|
rlm@449
|
2635
|
rlm@450
|
2636 Here is the core of a basic empathy algorithm, starting with an
|
rlm@451
|
2637 experience vector:
|
rlm@451
|
2638
|
rlm@451
|
2639 First, group the experiences into tiered proprioceptive bins. I use
|
rlm@451
|
2640 powers of 10 and 3 bins, and the smallest bin has an approximate
|
rlm@451
|
2641 size of 0.001 radians in all proprioceptive dimensions.
|
rlm@450
|
2642
|
rlm@450
|
2643 Then, given a sequence of proprioceptive input, generate a set of
|
rlm@451
|
2644 matching experience records for each input, using the tiered
|
rlm@451
|
2645 proprioceptive bins.
|
rlm@449
|
2646
|
rlm@450
|
2647 Finally, to infer sensory data, select the longest consective chain
|
rlm@451
|
2648 of experiences. Conecutive experience means that the experiences
|
rlm@451
|
2649 appear next to each other in the experience vector.
|
rlm@449
|
2650
|
rlm@450
|
2651 This algorithm has three advantages:
|
rlm@450
|
2652
|
rlm@450
|
2653 1. It's simple
|
rlm@450
|
2654
|
rlm@451
|
2655 3. It's very fast -- retrieving possible interpretations takes
|
rlm@451
|
2656 constant time. Tracing through chains of interpretations takes
|
rlm@451
|
2657 time proportional to the average number of experiences in a
|
rlm@451
|
2658 proprioceptive bin. Redundant experiences in \Phi-space can be
|
rlm@451
|
2659 merged to save computation.
|
rlm@450
|
2660
|
rlm@450
|
2661 2. It protects from wrong interpretations of transient ambiguous
|
rlm@451
|
2662 proprioceptive data. For example, if the worm is flat for just
|
rlm@450
|
2663 an instant, this flattness will not be interpreted as implying
|
rlm@450
|
2664 that the worm has its muscles relaxed, since the flattness is
|
rlm@450
|
2665 part of a longer chain which includes a distinct pattern of
|
rlm@451
|
2666 muscle activation. Markov chains or other memoryless statistical
|
rlm@451
|
2667 models that operate on individual frames may very well make this
|
rlm@451
|
2668 mistake.
|
rlm@450
|
2669
|
rlm@450
|
2670 #+caption: Program to convert an experience vector into a
|
rlm@450
|
2671 #+caption: proprioceptively binned lookup function.
|
rlm@450
|
2672 #+name: bin
|
rlm@452
|
2673 #+attr_latex: [htpb]
|
rlm@452
|
2674 #+begin_listing clojure
|
rlm@450
|
2675 #+begin_src clojure
|
rlm@449
|
2676 (defn bin [digits]
|
rlm@449
|
2677 (fn [angles]
|
rlm@449
|
2678 (->> angles
|
rlm@449
|
2679 (flatten)
|
rlm@449
|
2680 (map (juxt #(Math/sin %) #(Math/cos %)))
|
rlm@449
|
2681 (flatten)
|
rlm@449
|
2682 (mapv #(Math/round (* % (Math/pow 10 (dec digits))))))))
|
rlm@449
|
2683
|
rlm@449
|
2684 (defn gen-phi-scan
|
rlm@450
|
2685 "Nearest-neighbors with binning. Only returns a result if
|
rlm@450
|
2686 the propriceptive data is within 10% of a previously recorded
|
rlm@450
|
2687 result in all dimensions."
|
rlm@450
|
2688 [phi-space]
|
rlm@449
|
2689 (let [bin-keys (map bin [3 2 1])
|
rlm@449
|
2690 bin-maps
|
rlm@449
|
2691 (map (fn [bin-key]
|
rlm@449
|
2692 (group-by
|
rlm@449
|
2693 (comp bin-key :proprioception phi-space)
|
rlm@449
|
2694 (range (count phi-space)))) bin-keys)
|
rlm@449
|
2695 lookups (map (fn [bin-key bin-map]
|
rlm@450
|
2696 (fn [proprio] (bin-map (bin-key proprio))))
|
rlm@450
|
2697 bin-keys bin-maps)]
|
rlm@449
|
2698 (fn lookup [proprio-data]
|
rlm@449
|
2699 (set (some #(% proprio-data) lookups)))))
|
rlm@450
|
2700 #+end_src
|
rlm@450
|
2701 #+end_listing
|
rlm@449
|
2702
|
rlm@451
|
2703 #+caption: =longest-thread= finds the longest path of consecutive
|
rlm@451
|
2704 #+caption: experiences to explain proprioceptive worm data.
|
rlm@451
|
2705 #+name: phi-space-history-scan
|
rlm@451
|
2706 #+ATTR_LaTeX: :width 10cm
|
rlm@451
|
2707 [[./images/aurellem-gray.png]]
|
rlm@451
|
2708
|
rlm@451
|
2709 =longest-thread= infers sensory data by stitching together pieces
|
rlm@451
|
2710 from previous experience. It prefers longer chains of previous
|
rlm@451
|
2711 experience to shorter ones. For example, during training the worm
|
rlm@451
|
2712 might rest on the ground for one second before it performs its
|
rlm@451
|
2713 excercises. If during recognition the worm rests on the ground for
|
rlm@451
|
2714 five seconds, =longest-thread= will accomodate this five second
|
rlm@451
|
2715 rest period by looping the one second rest chain five times.
|
rlm@451
|
2716
|
rlm@451
|
2717 =longest-thread= takes time proportinal to the average number of
|
rlm@451
|
2718 entries in a proprioceptive bin, because for each element in the
|
rlm@451
|
2719 starting bin it performes a series of set lookups in the preceeding
|
rlm@451
|
2720 bins. If the total history is limited, then this is only a constant
|
rlm@451
|
2721 multiple times the number of entries in the starting bin. This
|
rlm@451
|
2722 analysis also applies even if the action requires multiple longest
|
rlm@451
|
2723 chains -- it's still the average number of entries in a
|
rlm@451
|
2724 proprioceptive bin times the desired chain length. Because
|
rlm@451
|
2725 =longest-thread= is so efficient and simple, I can interpret
|
rlm@451
|
2726 worm-actions in real time.
|
rlm@449
|
2727
|
rlm@450
|
2728 #+caption: Program to calculate empathy by tracing though \Phi-space
|
rlm@450
|
2729 #+caption: and finding the longest (ie. most coherent) interpretation
|
rlm@450
|
2730 #+caption: of the data.
|
rlm@450
|
2731 #+name: longest-thread
|
rlm@452
|
2732 #+attr_latex: [htpb]
|
rlm@452
|
2733 #+begin_listing clojure
|
rlm@450
|
2734 #+begin_src clojure
|
rlm@449
|
2735 (defn longest-thread
|
rlm@449
|
2736 "Find the longest thread from phi-index-sets. The index sets should
|
rlm@449
|
2737 be ordered from most recent to least recent."
|
rlm@449
|
2738 [phi-index-sets]
|
rlm@449
|
2739 (loop [result '()
|
rlm@449
|
2740 [thread-bases & remaining :as phi-index-sets] phi-index-sets]
|
rlm@449
|
2741 (if (empty? phi-index-sets)
|
rlm@449
|
2742 (vec result)
|
rlm@449
|
2743 (let [threads
|
rlm@449
|
2744 (for [thread-base thread-bases]
|
rlm@449
|
2745 (loop [thread (list thread-base)
|
rlm@449
|
2746 remaining remaining]
|
rlm@449
|
2747 (let [next-index (dec (first thread))]
|
rlm@449
|
2748 (cond (empty? remaining) thread
|
rlm@449
|
2749 (contains? (first remaining) next-index)
|
rlm@449
|
2750 (recur
|
rlm@449
|
2751 (cons next-index thread) (rest remaining))
|
rlm@449
|
2752 :else thread))))
|
rlm@449
|
2753 longest-thread
|
rlm@449
|
2754 (reduce (fn [thread-a thread-b]
|
rlm@449
|
2755 (if (> (count thread-a) (count thread-b))
|
rlm@449
|
2756 thread-a thread-b))
|
rlm@449
|
2757 '(nil)
|
rlm@449
|
2758 threads)]
|
rlm@449
|
2759 (recur (concat longest-thread result)
|
rlm@449
|
2760 (drop (count longest-thread) phi-index-sets))))))
|
rlm@450
|
2761 #+end_src
|
rlm@450
|
2762 #+end_listing
|
rlm@450
|
2763
|
rlm@451
|
2764 There is one final piece, which is to replace missing sensory data
|
rlm@451
|
2765 with a best-guess estimate. While I could fill in missing data by
|
rlm@451
|
2766 using a gradient over the closest known sensory data points,
|
rlm@451
|
2767 averages can be misleading. It is certainly possible to create an
|
rlm@451
|
2768 impossible sensory state by averaging two possible sensory states.
|
rlm@451
|
2769 Therefore, I simply replicate the most recent sensory experience to
|
rlm@451
|
2770 fill in the gaps.
|
rlm@449
|
2771
|
rlm@449
|
2772 #+caption: Fill in blanks in sensory experience by replicating the most
|
rlm@449
|
2773 #+caption: recent experience.
|
rlm@449
|
2774 #+name: infer-nils
|
rlm@452
|
2775 #+attr_latex: [htpb]
|
rlm@452
|
2776 #+begin_listing clojure
|
rlm@449
|
2777 #+begin_src clojure
|
rlm@449
|
2778 (defn infer-nils
|
rlm@449
|
2779 "Replace nils with the next available non-nil element in the
|
rlm@449
|
2780 sequence, or barring that, 0."
|
rlm@449
|
2781 [s]
|
rlm@449
|
2782 (loop [i (dec (count s))
|
rlm@449
|
2783 v (transient s)]
|
rlm@449
|
2784 (if (zero? i) (persistent! v)
|
rlm@449
|
2785 (if-let [cur (v i)]
|
rlm@449
|
2786 (if (get v (dec i) 0)
|
rlm@449
|
2787 (recur (dec i) v)
|
rlm@449
|
2788 (recur (dec i) (assoc! v (dec i) cur)))
|
rlm@449
|
2789 (recur i (assoc! v i 0))))))
|
rlm@449
|
2790 #+end_src
|
rlm@449
|
2791 #+end_listing
|
rlm@435
|
2792
|
rlm@441
|
2793 ** Efficient action recognition with =EMPATH=
|
rlm@451
|
2794
|
rlm@451
|
2795 To use =EMPATH= with the worm, I first need to gather a set of
|
rlm@451
|
2796 experiences from the worm that includes the actions I want to
|
rlm@452
|
2797 recognize. The =generate-phi-space= program (listing
|
rlm@451
|
2798 \ref{generate-phi-space} runs the worm through a series of
|
rlm@451
|
2799 exercices and gatheres those experiences into a vector. The
|
rlm@451
|
2800 =do-all-the-things= program is a routine expressed in a simple
|
rlm@452
|
2801 muscle contraction script language for automated worm control. It
|
rlm@452
|
2802 causes the worm to rest, curl, and wiggle over about 700 frames
|
rlm@452
|
2803 (approx. 11 seconds).
|
rlm@425
|
2804
|
rlm@451
|
2805 #+caption: Program to gather the worm's experiences into a vector for
|
rlm@451
|
2806 #+caption: further processing. The =motor-control-program= line uses
|
rlm@451
|
2807 #+caption: a motor control script that causes the worm to execute a series
|
rlm@451
|
2808 #+caption: of ``exercices'' that include all the action predicates.
|
rlm@451
|
2809 #+name: generate-phi-space
|
rlm@452
|
2810 #+attr_latex: [htpb]
|
rlm@452
|
2811 #+begin_listing clojure
|
rlm@451
|
2812 #+begin_src clojure
|
rlm@451
|
2813 (def do-all-the-things
|
rlm@451
|
2814 (concat
|
rlm@451
|
2815 curl-script
|
rlm@451
|
2816 [[300 :d-ex 40]
|
rlm@451
|
2817 [320 :d-ex 0]]
|
rlm@451
|
2818 (shift-script 280 (take 16 wiggle-script))))
|
rlm@451
|
2819
|
rlm@451
|
2820 (defn generate-phi-space []
|
rlm@451
|
2821 (let [experiences (atom [])]
|
rlm@451
|
2822 (run-world
|
rlm@451
|
2823 (apply-map
|
rlm@451
|
2824 worm-world
|
rlm@451
|
2825 (merge
|
rlm@451
|
2826 (worm-world-defaults)
|
rlm@451
|
2827 {:end-frame 700
|
rlm@451
|
2828 :motor-control
|
rlm@451
|
2829 (motor-control-program worm-muscle-labels do-all-the-things)
|
rlm@451
|
2830 :experiences experiences})))
|
rlm@451
|
2831 @experiences))
|
rlm@451
|
2832 #+end_src
|
rlm@451
|
2833 #+end_listing
|
rlm@451
|
2834
|
rlm@451
|
2835 #+caption: Use longest thread and a phi-space generated from a short
|
rlm@451
|
2836 #+caption: exercise routine to interpret actions during free play.
|
rlm@451
|
2837 #+name: empathy-debug
|
rlm@452
|
2838 #+attr_latex: [htpb]
|
rlm@452
|
2839 #+begin_listing clojure
|
rlm@451
|
2840 #+begin_src clojure
|
rlm@451
|
2841 (defn init []
|
rlm@451
|
2842 (def phi-space (generate-phi-space))
|
rlm@451
|
2843 (def phi-scan (gen-phi-scan phi-space)))
|
rlm@451
|
2844
|
rlm@451
|
2845 (defn empathy-demonstration []
|
rlm@451
|
2846 (let [proprio (atom ())]
|
rlm@451
|
2847 (fn
|
rlm@451
|
2848 [experiences text]
|
rlm@451
|
2849 (let [phi-indices (phi-scan (:proprioception (peek experiences)))]
|
rlm@451
|
2850 (swap! proprio (partial cons phi-indices))
|
rlm@451
|
2851 (let [exp-thread (longest-thread (take 300 @proprio))
|
rlm@451
|
2852 empathy (mapv phi-space (infer-nils exp-thread))]
|
rlm@451
|
2853 (println-repl (vector:last-n exp-thread 22))
|
rlm@451
|
2854 (cond
|
rlm@451
|
2855 (grand-circle? empathy) (.setText text "Grand Circle")
|
rlm@451
|
2856 (curled? empathy) (.setText text "Curled")
|
rlm@451
|
2857 (wiggling? empathy) (.setText text "Wiggling")
|
rlm@451
|
2858 (resting? empathy) (.setText text "Resting")
|
rlm@451
|
2859 :else (.setText text "Unknown")))))))
|
rlm@451
|
2860
|
rlm@451
|
2861 (defn empathy-experiment [record]
|
rlm@451
|
2862 (.start (worm-world :experience-watch (debug-experience-phi)
|
rlm@451
|
2863 :record record :worm worm*)))
|
rlm@451
|
2864 #+end_src
|
rlm@451
|
2865 #+end_listing
|
rlm@451
|
2866
|
rlm@451
|
2867 The result of running =empathy-experiment= is that the system is
|
rlm@451
|
2868 generally able to interpret worm actions using the action-predicates
|
rlm@451
|
2869 on simulated sensory data just as well as with actual data. Figure
|
rlm@451
|
2870 \ref{empathy-debug-image} was generated using =empathy-experiment=:
|
rlm@451
|
2871
|
rlm@451
|
2872 #+caption: From only proprioceptive data, =EMPATH= was able to infer
|
rlm@451
|
2873 #+caption: the complete sensory experience and classify four poses
|
rlm@451
|
2874 #+caption: (The last panel shows a composite image of \emph{wriggling},
|
rlm@451
|
2875 #+caption: a dynamic pose.)
|
rlm@451
|
2876 #+name: empathy-debug-image
|
rlm@451
|
2877 #+ATTR_LaTeX: :width 10cm :placement [H]
|
rlm@451
|
2878 [[./images/empathy-1.png]]
|
rlm@451
|
2879
|
rlm@451
|
2880 One way to measure the performance of =EMPATH= is to compare the
|
rlm@451
|
2881 sutiability of the imagined sense experience to trigger the same
|
rlm@451
|
2882 action predicates as the real sensory experience.
|
rlm@451
|
2883
|
rlm@451
|
2884 #+caption: Determine how closely empathy approximates actual
|
rlm@451
|
2885 #+caption: sensory data.
|
rlm@451
|
2886 #+name: test-empathy-accuracy
|
rlm@452
|
2887 #+attr_latex: [htpb]
|
rlm@452
|
2888 #+begin_listing clojure
|
rlm@451
|
2889 #+begin_src clojure
|
rlm@451
|
2890 (def worm-action-label
|
rlm@451
|
2891 (juxt grand-circle? curled? wiggling?))
|
rlm@451
|
2892
|
rlm@451
|
2893 (defn compare-empathy-with-baseline [matches]
|
rlm@451
|
2894 (let [proprio (atom ())]
|
rlm@451
|
2895 (fn
|
rlm@451
|
2896 [experiences text]
|
rlm@451
|
2897 (let [phi-indices (phi-scan (:proprioception (peek experiences)))]
|
rlm@451
|
2898 (swap! proprio (partial cons phi-indices))
|
rlm@451
|
2899 (let [exp-thread (longest-thread (take 300 @proprio))
|
rlm@451
|
2900 empathy (mapv phi-space (infer-nils exp-thread))
|
rlm@451
|
2901 experience-matches-empathy
|
rlm@451
|
2902 (= (worm-action-label experiences)
|
rlm@451
|
2903 (worm-action-label empathy))]
|
rlm@451
|
2904 (println-repl experience-matches-empathy)
|
rlm@451
|
2905 (swap! matches #(conj % experience-matches-empathy)))))))
|
rlm@451
|
2906
|
rlm@451
|
2907 (defn accuracy [v]
|
rlm@451
|
2908 (float (/ (count (filter true? v)) (count v))))
|
rlm@451
|
2909
|
rlm@451
|
2910 (defn test-empathy-accuracy []
|
rlm@451
|
2911 (let [res (atom [])]
|
rlm@451
|
2912 (run-world
|
rlm@451
|
2913 (worm-world :experience-watch
|
rlm@451
|
2914 (compare-empathy-with-baseline res)
|
rlm@451
|
2915 :worm worm*))
|
rlm@451
|
2916 (accuracy @res)))
|
rlm@451
|
2917 #+end_src
|
rlm@451
|
2918 #+end_listing
|
rlm@451
|
2919
|
rlm@451
|
2920 Running =test-empathy-accuracy= using the very short exercise
|
rlm@451
|
2921 program defined in listing \ref{generate-phi-space}, and then doing
|
rlm@451
|
2922 a similar pattern of activity manually yeilds an accuracy of around
|
rlm@451
|
2923 73%. This is based on very limited worm experience. By training the
|
rlm@451
|
2924 worm for longer, the accuracy dramatically improves.
|
rlm@451
|
2925
|
rlm@451
|
2926 #+caption: Program to generate \Phi-space using manual training.
|
rlm@451
|
2927 #+name: manual-phi-space
|
rlm@452
|
2928 #+attr_latex: [htpb]
|
rlm@451
|
2929 #+begin_listing clojure
|
rlm@451
|
2930 #+begin_src clojure
|
rlm@451
|
2931 (defn init-interactive []
|
rlm@451
|
2932 (def phi-space
|
rlm@451
|
2933 (let [experiences (atom [])]
|
rlm@451
|
2934 (run-world
|
rlm@451
|
2935 (apply-map
|
rlm@451
|
2936 worm-world
|
rlm@451
|
2937 (merge
|
rlm@451
|
2938 (worm-world-defaults)
|
rlm@451
|
2939 {:experiences experiences})))
|
rlm@451
|
2940 @experiences))
|
rlm@451
|
2941 (def phi-scan (gen-phi-scan phi-space)))
|
rlm@451
|
2942 #+end_src
|
rlm@451
|
2943 #+end_listing
|
rlm@451
|
2944
|
rlm@451
|
2945 After about 1 minute of manual training, I was able to achieve 95%
|
rlm@451
|
2946 accuracy on manual testing of the worm using =init-interactive= and
|
rlm@452
|
2947 =test-empathy-accuracy=. The majority of errors are near the
|
rlm@452
|
2948 boundaries of transitioning from one type of action to another.
|
rlm@452
|
2949 During these transitions the exact label for the action is more open
|
rlm@452
|
2950 to interpretation, and dissaggrement between empathy and experience
|
rlm@452
|
2951 is more excusable.
|
rlm@450
|
2952
|
rlm@449
|
2953 ** Digression: bootstrapping touch using free exploration
|
rlm@449
|
2954
|
rlm@452
|
2955 In the previous section I showed how to compute actions in terms of
|
rlm@452
|
2956 body-centered predicates which relied averate touch activation of
|
rlm@452
|
2957 pre-defined regions of the worm's skin. What if, instead of recieving
|
rlm@452
|
2958 touch pre-grouped into the six faces of each worm segment, the true
|
rlm@452
|
2959 topology of the worm's skin was unknown? This is more similiar to how
|
rlm@452
|
2960 a nerve fiber bundle might be arranged. While two fibers that are
|
rlm@452
|
2961 close in a nerve bundle /might/ correspond to two touch sensors that
|
rlm@452
|
2962 are close together on the skin, the process of taking a complicated
|
rlm@452
|
2963 surface and forcing it into essentially a circle requires some cuts
|
rlm@452
|
2964 and rerragenments.
|
rlm@452
|
2965
|
rlm@452
|
2966 In this section I show how to automatically learn the skin-topology of
|
rlm@452
|
2967 a worm segment by free exploration. As the worm rolls around on the
|
rlm@452
|
2968 floor, large sections of its surface get activated. If the worm has
|
rlm@452
|
2969 stopped moving, then whatever region of skin that is touching the
|
rlm@452
|
2970 floor is probably an important region, and should be recorded.
|
rlm@452
|
2971
|
rlm@452
|
2972 #+caption: Program to detect whether the worm is in a resting state
|
rlm@452
|
2973 #+caption: with one face touching the floor.
|
rlm@452
|
2974 #+name: pure-touch
|
rlm@452
|
2975 #+begin_listing clojure
|
rlm@452
|
2976 #+begin_src clojure
|
rlm@452
|
2977 (def full-contact [(float 0.0) (float 0.1)])
|
rlm@452
|
2978
|
rlm@452
|
2979 (defn pure-touch?
|
rlm@452
|
2980 "This is worm specific code to determine if a large region of touch
|
rlm@452
|
2981 sensors is either all on or all off."
|
rlm@452
|
2982 [[coords touch :as touch-data]]
|
rlm@452
|
2983 (= (set (map first touch)) (set full-contact)))
|
rlm@452
|
2984 #+end_src
|
rlm@452
|
2985 #+end_listing
|
rlm@452
|
2986
|
rlm@452
|
2987 After collecting these important regions, there will many nearly
|
rlm@452
|
2988 similiar touch regions. While for some purposes the subtle
|
rlm@452
|
2989 differences between these regions will be important, for my
|
rlm@452
|
2990 purposes I colapse them into mostly non-overlapping sets using
|
rlm@452
|
2991 =remove-similiar= in listing \ref{remove-similiar}
|
rlm@452
|
2992
|
rlm@452
|
2993 #+caption: Program to take a lits of set of points and ``collapse them''
|
rlm@452
|
2994 #+caption: so that the remaining sets in the list are siginificantly
|
rlm@452
|
2995 #+caption: different from each other. Prefer smaller sets to larger ones.
|
rlm@452
|
2996 #+name: remove-similiar
|
rlm@452
|
2997 #+begin_listing clojure
|
rlm@452
|
2998 #+begin_src clojure
|
rlm@452
|
2999 (defn remove-similar
|
rlm@452
|
3000 [coll]
|
rlm@452
|
3001 (loop [result () coll (sort-by (comp - count) coll)]
|
rlm@452
|
3002 (if (empty? coll) result
|
rlm@452
|
3003 (let [[x & xs] coll
|
rlm@452
|
3004 c (count x)]
|
rlm@452
|
3005 (if (some
|
rlm@452
|
3006 (fn [other-set]
|
rlm@452
|
3007 (let [oc (count other-set)]
|
rlm@452
|
3008 (< (- (count (union other-set x)) c) (* oc 0.1))))
|
rlm@452
|
3009 xs)
|
rlm@452
|
3010 (recur result xs)
|
rlm@452
|
3011 (recur (cons x result) xs))))))
|
rlm@452
|
3012 #+end_src
|
rlm@452
|
3013 #+end_listing
|
rlm@452
|
3014
|
rlm@452
|
3015 Actually running this simulation is easy given =CORTEX='s facilities.
|
rlm@452
|
3016
|
rlm@452
|
3017 #+caption: Collect experiences while the worm moves around. Filter the touch
|
rlm@452
|
3018 #+caption: sensations by stable ones, collapse similiar ones together,
|
rlm@452
|
3019 #+caption: and report the regions learned.
|
rlm@452
|
3020 #+name: learn-touch
|
rlm@452
|
3021 #+begin_listing clojure
|
rlm@452
|
3022 #+begin_src clojure
|
rlm@452
|
3023 (defn learn-touch-regions []
|
rlm@452
|
3024 (let [experiences (atom [])
|
rlm@452
|
3025 world (apply-map
|
rlm@452
|
3026 worm-world
|
rlm@452
|
3027 (assoc (worm-segment-defaults)
|
rlm@452
|
3028 :experiences experiences))]
|
rlm@452
|
3029 (run-world world)
|
rlm@452
|
3030 (->>
|
rlm@452
|
3031 @experiences
|
rlm@452
|
3032 (drop 175)
|
rlm@452
|
3033 ;; access the single segment's touch data
|
rlm@452
|
3034 (map (comp first :touch))
|
rlm@452
|
3035 ;; only deal with "pure" touch data to determine surfaces
|
rlm@452
|
3036 (filter pure-touch?)
|
rlm@452
|
3037 ;; associate coordinates with touch values
|
rlm@452
|
3038 (map (partial apply zipmap))
|
rlm@452
|
3039 ;; select those regions where contact is being made
|
rlm@452
|
3040 (map (partial group-by second))
|
rlm@452
|
3041 (map #(get % full-contact))
|
rlm@452
|
3042 (map (partial map first))
|
rlm@452
|
3043 ;; remove redundant/subset regions
|
rlm@452
|
3044 (map set)
|
rlm@452
|
3045 remove-similar)))
|
rlm@452
|
3046
|
rlm@452
|
3047 (defn learn-and-view-touch-regions []
|
rlm@452
|
3048 (map view-touch-region
|
rlm@452
|
3049 (learn-touch-regions)))
|
rlm@452
|
3050 #+end_src
|
rlm@452
|
3051 #+end_listing
|
rlm@452
|
3052
|
rlm@452
|
3053 The only thing remining to define is the particular motion the worm
|
rlm@452
|
3054 must take. I accomplish this with a simple motor control program.
|
rlm@452
|
3055
|
rlm@452
|
3056 #+caption: Motor control program for making the worm roll on the ground.
|
rlm@452
|
3057 #+caption: This could also be replaced with random motion.
|
rlm@452
|
3058 #+name: worm-roll
|
rlm@452
|
3059 #+begin_listing clojure
|
rlm@452
|
3060 #+begin_src clojure
|
rlm@452
|
3061 (defn touch-kinesthetics []
|
rlm@452
|
3062 [[170 :lift-1 40]
|
rlm@452
|
3063 [190 :lift-1 19]
|
rlm@452
|
3064 [206 :lift-1 0]
|
rlm@452
|
3065
|
rlm@452
|
3066 [400 :lift-2 40]
|
rlm@452
|
3067 [410 :lift-2 0]
|
rlm@452
|
3068
|
rlm@452
|
3069 [570 :lift-2 40]
|
rlm@452
|
3070 [590 :lift-2 21]
|
rlm@452
|
3071 [606 :lift-2 0]
|
rlm@452
|
3072
|
rlm@452
|
3073 [800 :lift-1 30]
|
rlm@452
|
3074 [809 :lift-1 0]
|
rlm@452
|
3075
|
rlm@452
|
3076 [900 :roll-2 40]
|
rlm@452
|
3077 [905 :roll-2 20]
|
rlm@452
|
3078 [910 :roll-2 0]
|
rlm@452
|
3079
|
rlm@452
|
3080 [1000 :roll-2 40]
|
rlm@452
|
3081 [1005 :roll-2 20]
|
rlm@452
|
3082 [1010 :roll-2 0]
|
rlm@452
|
3083
|
rlm@452
|
3084 [1100 :roll-2 40]
|
rlm@452
|
3085 [1105 :roll-2 20]
|
rlm@452
|
3086 [1110 :roll-2 0]
|
rlm@452
|
3087 ])
|
rlm@452
|
3088 #+end_src
|
rlm@452
|
3089 #+end_listing
|
rlm@452
|
3090
|
rlm@452
|
3091
|
rlm@452
|
3092 #+caption: The small worm rolls around on the floor, driven
|
rlm@452
|
3093 #+caption: by the motor control program in listing \ref{worm-roll}.
|
rlm@452
|
3094 #+name: worm-roll
|
rlm@452
|
3095 #+ATTR_LaTeX: :width 12cm
|
rlm@452
|
3096 [[./images/worm-roll.png]]
|
rlm@452
|
3097
|
rlm@452
|
3098
|
rlm@452
|
3099 #+caption: After completing its adventures, the worm now knows
|
rlm@452
|
3100 #+caption: how its touch sensors are arranged along its skin. These
|
rlm@452
|
3101 #+caption: are the regions that were deemed important by
|
rlm@452
|
3102 #+caption: =learn-touch-regions=. Note that the worm has discovered
|
rlm@452
|
3103 #+caption: that it has six sides.
|
rlm@452
|
3104 #+name: worm-touch-map
|
rlm@452
|
3105 #+ATTR_LaTeX: :width 12cm
|
rlm@452
|
3106 [[./images/touch-learn.png]]
|
rlm@452
|
3107
|
rlm@452
|
3108 While simple, =learn-touch-regions= exploits regularities in both
|
rlm@452
|
3109 the worm's physiology and the worm's environment to correctly
|
rlm@452
|
3110 deduce that the worm has six sides. Note that =learn-touch-regions=
|
rlm@452
|
3111 would work just as well even if the worm's touch sense data were
|
rlm@452
|
3112 completely scrambled. The cross shape is just for convienence. This
|
rlm@452
|
3113 example justifies the use of pre-defined touch regions in =EMPATH=.
|
rlm@452
|
3114
|
rlm@465
|
3115 * COMMENT Contributions
|
rlm@454
|
3116
|
rlm@461
|
3117 In this thesis you have seen the =CORTEX= system, a complete
|
rlm@461
|
3118 environment for creating simulated creatures. You have seen how to
|
rlm@461
|
3119 implement five senses including touch, proprioception, hearing,
|
rlm@461
|
3120 vision, and muscle tension. You have seen how to create new creatues
|
rlm@461
|
3121 using blender, a 3D modeling tool. I hope that =CORTEX= will be
|
rlm@461
|
3122 useful in further research projects. To this end I have included the
|
rlm@461
|
3123 full source to =CORTEX= along with a large suite of tests and
|
rlm@461
|
3124 examples. I have also created a user guide for =CORTEX= which is
|
rlm@461
|
3125 inculded in an appendix to this thesis.
|
rlm@447
|
3126
|
rlm@461
|
3127 You have also seen how I used =CORTEX= as a platform to attach the
|
rlm@461
|
3128 /action recognition/ problem, which is the problem of recognizing
|
rlm@461
|
3129 actions in video. You saw a simple system called =EMPATH= which
|
rlm@461
|
3130 ientifies actions by first describing actions in a body-centerd,
|
rlm@461
|
3131 rich sense language, then infering a full range of sensory
|
rlm@461
|
3132 experience from limited data using previous experience gained from
|
rlm@461
|
3133 free play.
|
rlm@447
|
3134
|
rlm@461
|
3135 As a minor digression, you also saw how I used =CORTEX= to enable a
|
rlm@461
|
3136 tiny worm to discover the topology of its skin simply by rolling on
|
rlm@461
|
3137 the ground.
|
rlm@461
|
3138
|
rlm@461
|
3139 In conclusion, the main contributions of this thesis are:
|
rlm@461
|
3140
|
rlm@461
|
3141 - =CORTEX=, a system for creating simulated creatures with rich
|
rlm@461
|
3142 senses.
|
rlm@461
|
3143 - =EMPATH=, a program for recognizing actions by imagining sensory
|
rlm@461
|
3144 experience.
|
rlm@447
|
3145
|
rlm@447
|
3146 # An anatomical joke:
|
rlm@447
|
3147 # - Training
|
rlm@447
|
3148 # - Skeletal imitation
|
rlm@447
|
3149 # - Sensory fleshing-out
|
rlm@447
|
3150 # - Classification
|