Mercurial > cortex
diff thesis/cortex.org @ 479:a5480a06d5fe
first draft of proprioception complete.
author | Robert McIntyre <rlm@mit.edu> |
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date | Fri, 28 Mar 2014 23:16:32 -0400 |
parents | ba54df21fc7c |
children | ad76b8b05517 |
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1.1 --- a/thesis/cortex.org Fri Mar 28 22:51:55 2014 -0400 1.2 +++ b/thesis/cortex.org Fri Mar 28 23:16:32 2014 -0400 1.3 @@ -12,6 +12,8 @@ 1.4 #+caption: 1.5 #+name: name 1.6 #+begin_listing clojure 1.7 + #+BEGIN_SRC clojure 1.8 + #+END_SRC 1.9 #+end_listing 1.10 1.11 #+caption: 1.12 @@ -2050,6 +2052,153 @@ 1.13 1.14 ** Proprioception is the sense that makes everything ``real'' 1.15 1.16 + Close your eyes, and touch your nose with your right index finger. 1.17 + How did you do it? You could not see your hand, and neither your 1.18 + hand nor your nose could use the sense of touch to guide the path 1.19 + of your hand. There are no sound cues, and Taste and Smell 1.20 + certainly don't provide any help. You know where your hand is 1.21 + without your other senses because of Proprioception. 1.22 + 1.23 + Humans can sometimes loose this sense through viral infections or 1.24 + damage to the spinal cord or brain, and when they do, they loose 1.25 + the ability to control their own bodies without looking directly at 1.26 + 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 1.27 + Hat]], a woman named Christina looses this sense and has to learn how 1.28 + to move by carefully watching her arms and legs. She describes 1.29 + proprioception as the "eyes of the body, the way the body sees 1.30 + itself". 1.31 + 1.32 + Proprioception in humans is mediated by [[http://en.wikipedia.org/wiki/Articular_capsule][joint capsules]], [[http://en.wikipedia.org/wiki/Muscle_spindle][muscle 1.33 + spindles]], and the [[http://en.wikipedia.org/wiki/Golgi_tendon_organ][Golgi tendon organs]]. These measure the relative 1.34 + positions of each body part by monitoring muscle strain and length. 1.35 + 1.36 + It's clear that this is a vital sense for fluid, graceful movement. 1.37 + It's also particularly easy to implement in jMonkeyEngine. 1.38 + 1.39 + My simulated proprioception calculates the relative angles of each 1.40 + joint from the rest position defined in the blender file. This 1.41 + simulates the muscle-spindles and joint capsules. I will deal with 1.42 + Golgi tendon organs, which calculate muscle strain, in the next 1.43 + section. 1.44 + 1.45 +*** Helper functions 1.46 + 1.47 + =absolute-angle= calculates the angle between two vectors, 1.48 + relative to a third axis vector. This angle is the number of 1.49 + radians you have to move counterclockwise around the axis vector 1.50 + to get from the first to the second vector. It is not commutative 1.51 + like a normal dot-product angle is. 1.52 + 1.53 + The purpose of these functions is to build a system of angle 1.54 + measurement that is biologically plausable. 1.55 + 1.56 + 1.57 + #+caption: Program to measure angles along a vector 1.58 + #+name: helpers 1.59 + #+begin_listing clojure 1.60 + #+BEGIN_SRC clojure 1.61 +(defn right-handed? 1.62 + "true iff the three vectors form a right handed coordinate 1.63 + system. The three vectors do not have to be normalized or 1.64 + orthogonal." 1.65 + [vec1 vec2 vec3] 1.66 + (pos? (.dot (.cross vec1 vec2) vec3))) 1.67 + 1.68 +(defn absolute-angle 1.69 + "The angle between 'vec1 and 'vec2 around 'axis. In the range 1.70 + [0 (* 2 Math/PI)]." 1.71 + [vec1 vec2 axis] 1.72 + (let [angle (.angleBetween vec1 vec2)] 1.73 + (if (right-handed? vec1 vec2 axis) 1.74 + angle (- (* 2 Math/PI) angle)))) 1.75 + #+END_SRC 1.76 + #+end_listing 1.77 + 1.78 + 1.79 + 1.80 + #+caption: 1.81 + #+caption: 1.82 + #+caption: 1.83 + #+caption: 1.84 + #+name: name 1.85 + #+begin_listing clojure 1.86 + #+BEGIN_SRC clojure 1.87 + #+END_SRC 1.88 + #+end_listing 1.89 + 1.90 + 1.91 +*** Proprioception Kernel 1.92 + 1.93 + Given a joint, =proprioception-kernel= produces a function that 1.94 + calculates the Euler angles between the the objects the joint 1.95 + connects. The only tricky part here is making the angles relative 1.96 + to the joint's initial ``straightness''. 1.97 + 1.98 + #+caption: Program to return biologially reasonable proprioceptive 1.99 + #+caption: data for each joint. 1.100 + #+name: proprioception 1.101 + #+begin_listing clojure 1.102 + #+BEGIN_SRC clojure 1.103 +(defn proprioception-kernel 1.104 + "Returns a function which returns proprioceptive sensory data when 1.105 + called inside a running simulation." 1.106 + [#^Node parts #^Node joint] 1.107 + (let [[obj-a obj-b] (joint-targets parts joint) 1.108 + joint-rot (.getWorldRotation joint) 1.109 + x0 (.mult joint-rot Vector3f/UNIT_X) 1.110 + y0 (.mult joint-rot Vector3f/UNIT_Y) 1.111 + z0 (.mult joint-rot Vector3f/UNIT_Z)] 1.112 + (fn [] 1.113 + (let [rot-a (.clone (.getWorldRotation obj-a)) 1.114 + rot-b (.clone (.getWorldRotation obj-b)) 1.115 + x (.mult rot-a x0) 1.116 + y (.mult rot-a y0) 1.117 + z (.mult rot-a z0) 1.118 + 1.119 + X (.mult rot-b x0) 1.120 + Y (.mult rot-b y0) 1.121 + Z (.mult rot-b z0) 1.122 + heading (Math/atan2 (.dot X z) (.dot X x)) 1.123 + pitch (Math/atan2 (.dot X y) (.dot X x)) 1.124 + 1.125 + ;; rotate x-vector back to origin 1.126 + reverse 1.127 + (doto (Quaternion.) 1.128 + (.fromAngleAxis 1.129 + (.angleBetween X x) 1.130 + (let [cross (.normalize (.cross X x))] 1.131 + (if (= 0 (.length cross)) y cross)))) 1.132 + roll (absolute-angle (.mult reverse Y) y x)] 1.133 + [heading pitch roll])))) 1.134 + 1.135 +(defn proprioception! 1.136 + "Endow the creature with the sense of proprioception. Returns a 1.137 + sequence of functions, one for each child of the \"joints\" node in 1.138 + the creature, which each report proprioceptive information about 1.139 + that joint." 1.140 + [#^Node creature] 1.141 + ;; extract the body's joints 1.142 + (let [senses (map (partial proprioception-kernel creature) 1.143 + (joints creature))] 1.144 + (fn [] 1.145 + (map #(%) senses)))) 1.146 + #+END_SRC 1.147 + #+end_listing 1.148 + 1.149 + 1.150 + =proprioception!= maps =proprioception-kernel= across all the 1.151 + joints of the creature. It uses the same list of joints that 1.152 + =joints= uses. Proprioception is the easiest sense to implement in 1.153 + =CORTEX=, and it will play a crucial role when efficiently 1.154 + implementing empathy. 1.155 + 1.156 + #+caption: In the upper right corner, the three proprioceptive 1.157 + #+caption: angle measurements are displayed. Red is yaw, Green is 1.158 + #+caption: pitch, and White is roll. 1.159 + #+name: proprio 1.160 + #+ATTR_LaTeX: :width 11cm 1.161 + [[./images/proprio.png]] 1.162 + 1.163 ** Muscles are both effectors and sensors 1.164 1.165 ** =CORTEX= brings complex creatures to life!