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@mobeets
Created July 11, 2014 19:34
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adelson_bergen_energy_model
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"metadata": {
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_Adapted from MATLAB code by [George Mather](http://www.georgemather.com/Model.html)_"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 484
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.signal import convolve2d\n",
"from scipy.linalg import toeplitz"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 616
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"1. Create component spatiotemporal filters"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"a. Define the space axis of the filters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nx = 80;\n",
"max_x = 2.0;\n",
"sx = 0.5;\n",
"sf = 1.1;\n",
"dx = (max_x*2)/nx;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 486
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x_filt = np.linspace(-max_x, max_x, nx);\n",
"gauss = np.exp(-x_filt**2/sx**2);\n",
"even_x = np.cos(2*np.pi*sf*x_filt)*gauss;\n",
"odd_x = np.sin(2*np.pi*sf*x_filt)*gauss;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 487
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(x_filt, gauss, linestyle='--', label='gauss');\n",
"plt.plot(x_filt, even_x, label='even_x');\n",
"plt.plot(x_filt, odd_x, label='odd_x');\n",
"plt.ylim(None, 1.1)\n",
"plt.legend()\n",
"plt.title('spatial filters')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 488,
"text": [
"<matplotlib.text.Text at 0x112bd8150>"
]
},
{
"metadata": {},
"output_type": "display_data",
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FBTF79mx69+5N06ZNTzmysTqTJ0/mb3/7W8XXDz/8MBdeeKGJ32n17J82IUSA2HpkK12a\ndan24JXadI81Ev+wjsOMF/76y5jRc/759i8IDSXksku5d+sXbNx4B+ec42LgdZx60pwtS/U057aF\nsFgsjB49mvPPP5/U1FS2bdvGlVdeSbdu3Rg4cCALFizg5ptvBmDOnDlcfvnlBAcH8+WXXzJt2jQ+\n/PBD+vbty7Rp05g4cSK//PJLRd0zZ85k3rx5HD9+nOTkZEaPHs3FNfz5+corr9C7d29mzZpFx44d\nmTlzJn/99ZdrD8JZthNmfP1hhCKEd33818f6ys+vdPn6N9a+oSd/PfnkC/fdp/Vjj9V80RdfaH3B\nBS7fsy7w15/ntWvX6ujoaH38+PGK1+655x59ww036P/85z/6Auv/F4vFotu2bat/+uknrbXWI0aM\n0P/6178qrsnOztYhISE6MzNTa621UkovWLCg4v2LL75YP/fcc7XG8+uvv+qYmBjdvn17PW/evBrL\nVvdMra87lW+lq0fUeWlpsG2ba9e62r9vkxRXaS5/WZnRv19dN4/NRRcZU4/84CSmQLN7924KCgqI\nj48nJiaGmJgYZs6cyaFDh5gwYQJr1qzhwIEDrFq1iqCgIM63/uW2e/dunn322YprOnfuTFhYGPv2\n7auou3fv3hWft2rVigIHtmU9++yz6dixIwCXX365yd9t9STxizrvvvvghx9cu9bVqZw2p/Txf/+9\nsTFPt241XxQeDsOHw1dfuXxf4Zq2bdsSGRnJwYMHycnJIScnh2PHjvH1118THR3NRRddxKeffsqc\nOXOYOHFixXXt2rVj6tSpFdfk5ORQWFjIgAED3IrnrbfeoqSkhPj4eF544QV3vz2HSeIXddqff8LG\njcaxiq5Iy3Zt8ZZNq8atKCkv4XDhYfjkk9pb+zbjxxuLvIRXnXPOOSQkJDBlyhR27dpFeXk5qamp\nrFu3DoCrrrqKWbNmsWDBAq666qqK626//Xbeeecdli9fTklJCXl5ecyfP7/a+2gHtqTetm0bU6dO\nZfbs2fz3v//lhRde8FofvyR+Uac9/zzcey80aOD8tcVlxWTmZdK5aWeX76+UOrmQ68cfYVTtJ3gB\nRrkff4T8fLQGS82bfAqTBAUF8fXXX5OVlcWAAQOIi4vj1ltv5dixYwCMGTOGHTt20KpVK3r06FFx\n3dixY3nqqad44IEHiI2NpUePHixbtqzi/arbeSulatziu6ysjEmTJvHII4/Qo0cPOnfuzDPPPMOk\nSZMoLS01+bs+nRzEIuqsnTvhnHMgPR2aNHH++pSDKVzx+RVsvqOGjdYccPPimzkv8gxuGPME5OVB\nkIPtqZEj4brruPX7Kxg6FCr1LNR5chCL+eQgFiGAl1+G2293LemDdWA3zvWBXZuk2CTy/lgN3bs7\nnvShortn7Fh47jljCYAQ3iCJX9RZjz9uDOy6Ki07je6xrvfv23SP6w6bUuHMM527cMwY+PZbLrnY\ngtbwzTduhyL8zO23305kZORpH//3f//n07gk8Ys6Kz4emjZ1/Xp3Z/TYdI/rTtT2TKjUJ+yQ5s0h\nNha1bSuPPGK0+kX9MmPGDPLz80/7ePvtt30alyR+EbDMSvxto9rSOauIgq4ubPvQvz/8/jt//7ux\nt1ulhaBCeIwkfhGQyixl7MzZSddmXd2uKwhFj0OKrS1d2Pahf39Yt46QEHjmGbBOLhHCo2SvHhGQ\ndh7dSevI1oSHOrF/c3UOHCAoOIS/OEBfZ6/t1w8+/xyAK690PxQhHCEtflGnLFtmLNpyl1ndPACk\nppLTqTWbqzuUpSZnnWWsQPPC3G0hbCTxizqjvBzuvtuc7hBTE39KCuXdazh/tyaRkdChg3FQsBBe\nIolf1BmLF0NMDAwa5H5dm7Pd25ztFKmpRJx1jmuJHyr6+YV/+eijjxhUwz+25ORkPvjgAy9GZB5J\n/KJO0NrYnuHBB6GGlfAOM7vF3+zsIRwsPEhhSaHz1/frB7//fspLpaXIQS1+rrZtGfyZJH5RJ/z8\nMxw5AmPHul+XRVvYmr2VxNhEEyqzwObNhPTsTZemXdiSvcX5OqxTOiu7/3544w33wxPCHkn8ok54\n6y144AEIDna/rgMFB2jSoAmRDSLdrywjA2JjoUkTOjftTHpOuvN19OoFW7ee0sS/+WYj8RcXux+i\nOFVaWhrJycnExMRw5pln8pV1e+wjR44wZswYmjVrxrBhwzhw4NSzlL/77jsSExNp3bo1jz32GFD7\nLpy+PF6xJpL4RZ3w/vtw3XXm1JWek07HmI7mVJaSUrFVQ8eYjq4l/oYNITHROLbRqmdPYyHw7Nnm\nhOl3lDLnw0mlpaWMHj2a4cOHc/jwYd58802uuOIKtm3bxh133EGDBg3Yu3cvb7zxBq+//npFV052\ndjbjx4/nqaeeIjMzk5iYGFavXl1rV88rr7xCSkoKs2bN4qeffmLmzJn897//demRmUkSv6gTIiON\n/GgGUxN/amrFVg0uJ36w293z0EPw4ov1dMtmrc35cNLatWvJzMzkH//4ByEhIQwdOpSzzjqLTz75\nhIULFzJ58mTCw8M544wzGD58eMV1S5cupWnTphVn8N5xxx0O9e+Hh4fz8ccfc++99zJp0iT+/e9/\nEx8f73TcZpPELwJOek46CdEubK9gT+rJzdkSohNIzzUv8Q8dCo0ayUFdZsrKyqJr165ERERUvNav\nXz8OHDhAWVnZKccn9unTp6IrJysri549e1a8Fx4eTmKiY2NEvjpesSaS+EXA8WRXT0ZOhmv12JnS\nqRS88AJERbkbpLCJj49n27ZtFBaenH31+++/07JlS0JCQtiwYUPF6+vXr69o1bdq1eqU07FOnDjB\nli2ODeT76njFmkjiFwEnIzfDnMRfXGycAmNt+bWPbs+eY3sos5Q5X1f37pCZCfn5p7w8bBgkJ7sf\nqjAMGDCAtm3b8vrrr1NaWsrKlSvZsGED11xzDePHj2fGjBmcOHGCzZs380Olg5xHjRpFTk4On3/+\nOWVlZbz99tt+f7xiTdxO/EqpwUqp9UqpjUqpu+y8n6yUylNKbbB+PO7uPUVgmDULfvvN/HpNa/Fv\n3WqsurUOPjQMaUjziObsPbbX+bpCQ40R3T/+cD8uUa3Q0FC++uorli9fTlxcHHfeeSdz586la9eu\n/Pvf/6aoqIg2bdpw9913c9ddJ9NZbGwsn3/+OY899hjt2rXj6NGjnHfeeTXey9fHK9bEraMXlVLB\nwFbgQmAf8DswUWudVqlMMnCf1npMLXXJ0YuiwvHjkJAAK1dCkkkLbAFOlJ4g5vkYCqcUEhzk5tzQ\nOXNg0SKodOj2kI+GMG3INC5IuMD5+u65B9q0MVap1XFy9KL5/OnoxbOBHVrrXVrrUmAecJmdcnVz\neZvwmZkzYeBAc5M+wK7cXbSLaud+0odTZvTYJEQnuN7P36+fbN0gvMLdxN8a2FPp673W1yrTwECl\n1Cal1FKllEnr5EV9VVoKL70EDz9sft2eGti1MXtKZ2XHjsHhw65VLTzHX49XrIm7+/E78rfceqAt\nUApcBywGOtsrOH369IrPk5OTSZZRrYD06adGN8+AAebXbdrALpwyldOmY0xHlmxf4lp9Xbsa+1Jk\nZxurgat46SXjLR+f2ieqmDFjBjNmzPDa/VauXMnKlSvdqsPdPv4BwHSt9Qjr148CFq3189WUV0A2\n0EVrfbTKe9LHLwAYNcrYfvnii82v+75l9xEfGc8DAx9wr6LCQiM5FxScso/E6j2ruXfZvfx686+u\n1TtkCEydCnaW9R88aHR9paVBixauBu4d0sdvPn/q418HdFFKdVBKhQFXYLToKwfVQp1c4jYaOFE1\n6QtR2RdfwEUXeaZu07p6du+Gdu1O2zzIra4eMPbtqWa6X4sWMHEivPqq69ULAW529Wity5RSNwKL\nrHW9r7VOU0rdZn3/XeBvwGSlVBmwEfuDv0JUCA31XN2mrdrNyDD6o6poEdGCwpJC8ovzXdsErlcv\n+PHHat9+6CHj0K4HH4RmzZyv3pvq6pbFgcDtM3e11j8Cfaq89m6lz98C3nL3PkK4S2ttXot/1y5j\nDn8VSikSYhLIyM2gZ4uep71fq169atyPuX17GD/eaPU//bTz1XuLdPP4N1m5KwJG9vFsGoQ0IKqh\nCXsgVJP4wc3unjPOgO3boaSk2iJTpxrjIEK4ShK/CBimTuWspqsHoGO0G4k/PNyod3P1xzi2awfn\nnuta9UKAJH7hB7SGK64wtr3xJFN35ayhxZ8Q48YiLqhxgFcIM0jiFz733XewcaPRf+1Jprb4a+vq\ncXV7ZpDELzxOEr/wKa3hySeNfmszjlWsiWmJPz/f2EyoeXO7b3tySqcQZpDEL3zq+++NxapXXOH5\ne5m2atfW2q9mumJCdAK7cndh0S4enWVL/A7MjDl4EL791rXbiMAliV/4jNZGS98brX0wscVfQzcP\nQERYBFENotifv9+1+lu2hKAgyMqqteixYzBpEhyVJZHCCZL4hc8cPgwdOxqrUT2tpLyE/QX7aduk\nrfuV7dpV7YweG9tcfpco5XB3T5cuMGECPPOMa7cSgUkSv/CZ5s1h9myjcetpmXmZxEfGExpswrLg\njIwaW/xgQj9/794O9/NPmwYffmjsIiGEIyTxi4DgrRk9Nm7N5QenBnhbtYI77jC6zIRwhCR+ERAy\ncjLoGO3FxG/GzJ4//3S4+IMPGgPl+/a5fksROCTxi4Bgeou/lj7+jjEdXe/jB+MA98xMY9qoAyIj\nYcsWaF31GCQh7JDEL7wqJwdyc71/3/TcdBJiTFi1m5dn7KNTy9aYCTEJ7rX4Q0OhWzfjsBcHRbqw\nGagITJL4hVc98YRvZqCYPpWzli2HW0e2Jvt4NidKT7h+L1nIJTzE7W2ZhXBUSopxrOKmTd6/t6mJ\nv5ZuHoDgoGDaR7VnV+4ukuJcPDFeEr/wEGnxC6+wWGDyZPjnPyEuzrv3zjmRQ7mlnGbhJpxc4sBU\nThu3+/ndTPzl5a7fWtRvkviFV8yaZXSN33KL9++dkZtBQkyCOSdCOTCjxyYhOoGdR3e6fq9evYzd\n61w41OSTT4xftELYI4lfeNzx4zBlCrzzjne2ZqjK2zN6bNxu8TdrBk2aGPd00ujRsGQJrFnj+u1F\n/SWJX3hco0awejX07eub+6fnpHt1Dr+N23P5wen5/DZRUfDyy0arv6zMvRBE/SOJX3iFg41kj8jI\nMWlXTq2928cP0KcPbNjg0qVXXAGxsfDmm+6FIOofSfyi3kvPNamrx7YAISbGoeK2Fr9bB4/37Qt/\n/OHSpUrBW2/Bv/4Fe/e6HoKofyTxi3ovPcekxVsOzuG3iWoYRWhQKNnHs12/Z79+sG6dSwO8YKwB\n++gjiI52PQRR/0jiFx7h4E4DHlduKSczL5MO0R3cr8yJbh4bt/v5bXswuLEJz6WXQuPGrocg6h9J\n/MJ0x44ZY5KbN/s6EtiXv4+4RnE0DGnofmVOzOixcbufX6mTrX4hTCKJX5ju7rth6FDo3t3XkXh/\nO+aqTJnZ40Y/vxD2SOIXpvr0U2Pu+Kuv+joSg2n9++BS4k+IdnOzNjC9xS/TO4UkfmGazEy46y7j\nVK2ICIw9A/LyfBqTqXP4fdHHDydb/O7MDqpk9Gg5oD3QSeIXprlncgnvXPYt/RY/AcOHQ9Om0LYt\nfP65z2LKyDVxDr+LXT1uz+WPjzfOp9yzx716rB59FK67DrZtM6U6UQdJ4hfmyM3ls9zhjP/rCaOl\n/49/QHo6rFplfO6jvh/T+viPHoWQEKfnRbaLakdWfhal5aWu39s2wGtSP//gwcbc/lGj4MgRU6oU\ndYwkfuG+vXth0CBC+/dBrV17Mqs0a2YcGr56NXzwgfELwMtbRpo+h99JocGhtGrcisy8TPfu37ev\nqf38N98MY8fChAnG5nkisEjiF+7ZvBnOOw+uvdZo1QfZ+SfVrh38/LOx0+Tf/+610cWCkgKOFR+j\nZeOW7le2eze0b+/Spab085vY4rd57jnjD5jPPjO1WlEHSOIXrlu92pi3+fTTxmnfNa1ojY6Gb76B\nrCyv9fnvyt1FQnQCQcqEf+aZmcYvMBeY0s9va/GbNMALxk6pn30GV19tWpWijpDEL1yyduZmCi8a\na+wHMGmdDOePAAAgAElEQVSSYxc1aAAPPQSvv+7R2GxMncO/Z48xUO0CU1r88fEQFmb8AjJRWJjD\nO1CIekQSv3Daik8O0OqWUey9+0W45BLnLh4zBg4cgN9+80xwlaTnpJMQbdIcfjda/KbM5QdZyCVM\nI4lfOGXx3EKa3TCaoBuvp9sz1zlfQXAw3HmnV1r99arFD17buiEnx9QeJeGHJPELh82bXU7oDVfT\n7uLutH3vCdcruummk/39HmTaHH5wO/G73ccPXmvx33IL3H+/cU6yqJ8k8QuHlBRrQh+5n0E9j9Fs\n4fvudQxHR8PEicZZjB5kWou/pAQOH4ZWrVy6PLZRLCXlJeQW5boXhwcGeO15/32jJ27MGKP1L+of\nSfzCIWGvvcCE6O9pvHyhMSLorrvvhvfeg6Ii9+uyQ2tNRk6GOXP4s7KgZUtjAZcLlFIkRCeQkeNm\nq79VK2jY0Jha6kExMfC//0GXLjKsUF9J4he1+/BDmDHD2ODFrBM9unUzssrcuebUV8WBggM0DmtM\n4zATNqJ3Y2DXpq7184eGGssynn8eRoyAHTs8fkvhRZL4xWlyc6GgwPrFV1/BlClG0rcdCmKWe+4x\nBnk90HXhL/37Nqb283txb/7LL4fUVOjc2Wu3FF4giV9UsFhg1ixISrLu3vjzz8ZA7OLFRgvdbBdd\nBMXFxn1M5i8zemxMa/Gfey788ov79TihRQuv3k54gSR+gdbGXmqDBhmHcy9eDH9r9Yuxkcsnn0D/\n/p65sVLGIO/ixaZXbWri96eunvPOgw0bKv1J5jvr1sne/nWVa6NVot7Iyy/l3MvXcrDxctpd9hdR\nzY+x4L3ddJq7h4eubUkz9T3XHmrNGc3P8EwAw4YZ8/pNlp6TzqB2g8ypbM8euPhit6owbRFXo0bG\nL+JVq2DkSPfrq0VWfhZzUuYwN3UuuUW5RIZFEtkgkiZhTUj9qRMnNg3n3nHJ3HlLJJGRHg9HmEQS\nfwA6XHiYhWkLWbJ9CT/u/pGWF3Xmlh4XcU7r6+kx6xvaLt3C/q8XcEe3dny26TNGzB5BXKM4rut1\nHZP7TyYs2IRZPTZnn21s35ydDbGxplWbkZvBdb1cWGBmjwkt/g7RHcjMy6TcUk5wULB78Vx4IaxY\n4dHEv2DzAt5f/z6/7vuV8YnjeWn4S7SNakt+cT7Hio+RX5LPpvab+PzP13ji0FU8cX8fzmk2gvsv\n+RvjBnf1WFzCJFprtz6AwcB6YCNwVzVlnrW+vxZIrKaMFp5hsWj9a+oh/cyyd/WwWcN01LNR+srP\nr9RzU+bqQwWHjEIlJVrfdpvWvXppvXfvKdeXlZfpFTtX6Av/e6G+dM6luqi0yNwAR43S+tNPTa2y\nzStt9K6cXeZUFhOj9eHDblcT/3K8zszNdD+eNWu07tnT/XrssFgsetr/pulub3bTc1Pm6sKSwlqv\nKSwp1B/+9I3uO/UOHTGtpe49o7f+16p/6W3Z2zwSoziVNXc6lbeVdmNGhVIqGNgKXAjsA34HJmqt\n0yqVGQncqbUeqZQ6B3hdaz3ATl3anVjESWVlsGWLZv7KzSze8jWby7+iNCaFc2Iv4cFL/s4lnS8h\nPDT85AUrVhh75XfsaJybWM3f7KXlpVy18CoKSgpY+PeFp9bhjtdeg7Q0ePddU6orKisi+rloCqcU\nut+6LiiA5s2hsNDt3cwGfTiIp4c+zZAOQ9yLqazM+Oto2zYjNpNorXn8h8dZvG0xKyatoEVj50d1\nyy3l/Jz5M/M3z2dB2gJiGsYwuutoujKaxMbnclbvYMJN+mcjDEoptNZO/eN0N/GfC0zTWo+wfv0I\ngNb6uUplZgD/01p/av16CzBEa32wSl2S+J1gscDx49DYOk293FJO6qFU1uxdw8cr1/DbwVU0aFjO\n2dGjuab/aCaem0x4aMNTK9mxw1ibn5oKL78Ml11Wa3Irs5QxadEkso9n8+WVX9IotJH730xKCowb\nZ9pk8a3ZWxk1ZxQ77jahvrQ048SSrVvdruraRdcytMNQbuhzg/txXXaZMTB+5ZXu14WR9B9e8TDL\ndi5jxaQVxEXEuV2nRVtYl7WOr7Z+xaw1izmevYcGuwYQc7wvXRr3pX+7nlx+RRRd+jYxFg4Il7iS\n+N3t428NVD4IdC9wjgNl2gAHqScsFigtNWbH2D4sFuNMkkZ28mJhoTFeWFpq7AZQUmIsYG3SxJim\nXdXGjfDsSyfYn3uEQwVHOHL8CEfL9pE0cAc9knew4+gOtmRvoWXjlgxsO5Drhp7Hu20f5Iy4M1BV\nE3lxMfzwAyxYAF98Yeyj/9lnxpbJDggJCuHjcR9zw5c3cOmcS/lq4ldEhEW48NQqOfNMyM93+ZSr\nqvxtDr+NaXP5wRgU//57UxK/1pr7l9/Pyl0r+eHaH2jWqJl7FRYVwYoVBH37LWenp3P27t08lZmJ\nJUhRFLaG4tIfKbWUUq5LCX83mPJiC+WhwZQ1boSOjETHxLAnvxmHS5tjiYxDR0ajo6JQUVGceV4U\ncR0iICLC+OFq1AjCw9lzMIwTlgaENAojJDyUkAbBBIWFEBMbTIPwoNMaNKWlJ39GlTr5dtDpResl\ndxO/o030qo/S7nVlQXaeuL3/CTXd1VpeufDHQ8WtrNc6Otc1CKicNi2AVkY1JUFgUWAJUpRb/1sa\nBBFKURocRGiwIjhEQajiWIMgVkQojocp8hpochtojoaVcyS0nOAGmrimTWiWEENQs2ZExbehXdsk\nElqOoHP/znSL7UbT8KanBlZaCvv2GUv809Nh2TJjgn6PHkYr9umnja0InBQSFMJHl33EpEWTePC7\nB3l71NtO13EKpU4msptucq8u/Gc75qo6xnRk2c5lptTFhReado7x7JTZfJf+HauuX0VMeIxrlRQX\nG42JRYtg+XLjyM1LLzWW/bZvD+3aERQVRSPA1hY6Xnqcrdlb2XFkO7v2p7F/7xZyDu7CknOEskOb\nCDu2hsgTZTQtCiEqL5ioQ4r8LYrGZdCoxEJ4iaZRiYXQMk1wsaZJmSbMogkr1wRrCLEY/7X9PJer\nkz+XGuPnvdLbFWXsqZpPTvnaxRzlsfIOcDfx7wMqN4faYrToayrTxvraaaY/+ljF54MHDWbIkMEE\n2+mitVjs7xyoFBXlNaCsJy/ZWuD2VK7fggalKlrtACpIGYMhylavtv5j0da6jVcs2oLWGoul3Pgo\nL8NiKae8vBRdXo6lrBRLWSm6vAxLcTGUlqCKiwkrLiKsqIjo40UEnygi6EQRQcePE1ZQTFjBcUIL\njhOSX0jwsQLU/hzYdBRyjkJeBuR9bXzTTZqc/qdFaakxU6Zly4ofPC680Fgpa8KKnOCgYP498t8k\n/juR2/reRq+WvdyrcNgwY6zBhMS/NXsrXZuZNLPExBZ/l6ZdePO3N02pi6QkI9mmpxtjMy4qKCng\nkRWPMP/y+a4lfa2NdRj33w8JCUb309tvQ1ztXUWNQhvRp1Uf+rTqA2faL1NcVkxRWRHF5cUUlxVT\nXF5MuaXc+DnUmlI0ZSiCVFDFh1KKYBVMcFCw8RqKYIz/Bmkjj1aURRlfW8eCFKrir2RlzbhKKSN/\nVPpTwKKN/FLdXwj2jpa2aE1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4avu6Srl0IB+wAG9rrd+vpj5t1oHTon7YeXQnr6x5hc3Z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\n8QshRID5f055X+a3hqLwAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x112bceb10>"
]
}
],
"prompt_number": 488
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"b. Define the time axis of the filters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nt = 100;\n",
"max_t = 0.5;\n",
"dt = max_t/nt;\n",
"k = 100;\n",
"slow_n = 9;\n",
"fast_n = 6;\n",
"beta = 1.0;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 489
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t_filt = np.linspace(0, max_t, nt);\n",
"t_fcn = lambda n: (k*t_filt)**n * np.exp(-k*t_filt) * (1./math.factorial(n) - beta*((k*t_filt)**2)/math.factorial(n+2))\n",
"slow_t = t_fcn(slow_n);\n",
"fast_t = t_fcn(fast_n);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 490
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(t_filt, slow_t, label='slow_t');\n",
"plt.plot(t_filt, fast_t, label='fast_t');\n",
"plt.legend();\n",
"plt.title('temporal filters');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Uj69Ocr1kdhwK7ncvPwsKxphoqZRB4VTBKTbt30Ra47RyXXfsmLPe0dCh3pSj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\nCDsm4SY6pgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112c5f610>"
]
}
],
"prompt_number": 491
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"c. Combine space and time to create spatiotemporal filters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"e_slow = np.outer(slow_t, even_x);\n",
"e_fast = np.outer(fast_t, even_x);\n",
"o_slow = np.outer(slow_t, odd_x);\n",
"o_fast = np.outer(fast_t, odd_x);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 546
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_imgs(imgs):\n",
" for i, (name, img) in enumerate(imgs.iteritems()):\n",
" plt.subplot(2,2,i)\n",
" plt.imshow(img, cmap=plt.cm.binary);\n",
" plt.gca().axes.get_xaxis().set_ticks([])\n",
" plt.gca().axes.get_yaxis().set_ticks([])\n",
" plt.xlim(nx/4., 3.*nx/4)\n",
" plt.ylim(0, 1.4*nt/3)\n",
" plt.title(name)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 558
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_imgs({'e_slow': e_slow, 'e_fast': e_fast, 'o_slow': o_slow, 'o_fast': o_fast})"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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k8NnZ2ZKDzBxox8fHC4I4PDxc+H6A5cCn6E/DWC5zKDc/kzaKWjxCEs3dx1gC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\ntoIkm0QisRX8fwAPWHSTmyINAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11353f950>"
]
}
],
"prompt_number": 559
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"2. Create spatiotemporally oriented filters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"left_1 = o_fast + e_slow;\n",
"left_2 = -o_slow + e_fast;\n",
"right_1 = -o_fast + e_slow;\n",
"right_2 = o_slow + e_fast;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 544
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_imgs({'left_1': left_1, 'left_2': left_2, 'right_1': right_1, 'right_2': right_2})"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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gfBiI4ZFj/o7PG9ssg0HzbFqUDSqXVQ2rGyUcfWo8G2U6UxhEw3NqQDaYwAfm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\n",
"text": [
"<matplotlib.figure.Figure at 0x11373c250>"
]
}
],
"prompt_number": 545
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"3. Convolve the filters with a stimulus"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"stim_width = 4;\n",
"stim_dur = 1.5;\n",
"x_stim = np.arange(-stim_width, np.round(stim_width-dx), dx);\n",
"t_stim = np.arange(0, np.round(stim_dur-dt), dt);\n",
"\n",
"nl = max(len(x_stim), len(t_stim));\n",
"signal = toeplitz(xrange(nl))[:len(x_stim), :len(t_stim)];\n",
"noise = (nl/7.)*np.random.random([len(x_stim), len(t_stim)]);\n",
"stim = signal + noise;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 822
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.figure(figsize=(20,2))\n",
"plt.imshow(stim, extent=[x_stim.min(), x_stim.max(), t_stim.min(), t_stim.max()], cmap=plt.cm.binary);\n",
"plt.title('stimulus');\n",
"plt.xlabel('position');\n",
"plt.ylabel('time');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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q2tQoSyaZaqwOjQjX0lxJpmWYBMcRYCYjYwXJz6NRHQJ0J4n6VND0ZzjohD4n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4SOuZ4Hk6ZgvfWd67gzonG3Vfw8Oprt+LC90GZsk+QTSWqye8BYEV5AG2vj4643FzDTT3CXY6Xd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\neHFh5pwTtSJ74z9M7Pn4HnM1FslSJPju7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76zqpX/82fr0JXv6CL98J4NKDNePgcRu3IS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\nqpmZmZmZmQ0dB6tmZmZmZmY2dP4HmM2yQzXZnBYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1144fa510>"
]
}
],
"prompt_number": 823
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"resp_right_1 = convolve2d(stim, right_1, 'same');\n",
"resp_right_2 = convolve2d(stim, right_2, 'same');\n",
"resp_left_1 = convolve2d(stim, left_1, 'same');\n",
"resp_left_2 = convolve2d(stim, left_2, 'same');"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 847
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"4. Square the filter output"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"resp_left_1 = resp_left_1**2;\n",
"resp_left_2 = resp_left_2**2;\n",
"resp_right_1 = resp_right_1**2;\n",
"resp_right_2 = resp_right_2**2;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 848
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"5. Normalise the filter output"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"energy_right = resp_right_1 + resp_right_2;\n",
"energy_left = resp_left_1 + resp_left_2;\n",
"total_energy = sum(sum(energy_right)) + sum(sum(energy_left));\n",
"\n",
"RR1 = sum(sum(resp_right_1)) / total_energy;\n",
"RR2 = sum(sum(resp_right_2)) / total_energy;\n",
"LR1 = sum(sum(resp_left_1)) / total_energy;\n",
"LR2 = sum(sum(resp_left_2)) / total_energy;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 849
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"6. Sum the paired filters in each direction"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"right_Total = RR1 + RR2;\n",
"left_Total = LR1 + LR2;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 850
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"7. Calculate net energy as the R-L difference"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"motion_energy = right_Total - left_Total;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 851
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"8. Display filter response"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"energy_opponent = energy_right - energy_left;\n",
"xv, yv = energy_left.shape;\n",
"energy_flicker = total_energy / (xv * yv);\n",
"motion_contrast = energy_opponent / energy_flicker;\n",
"\n",
"mc_min, mc_max = motion_contrast.min(), motion_contrast.max();\n",
"peak = abs(mc_max) if abs(mc_max) > abs(mc_min) else abs(mc_min);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 862
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.figure(figsize=(20,4));\n",
"plt.subplot(2, 1, 1);\n",
"plt.imshow(stim, extent=[x_stim.min(), x_stim.max(), t_stim.min(), t_stim.max()], cmap=plt.cm.binary);\n",
"plt.title('stimulus');\n",
"plt.gca().axes.get_xaxis().set_ticks([]);\n",
"plt.subplot(2, 1, 2);\n",
"mc = motion_contrast[:-nt/4.+1, nx/4.:-nx/4.+1];\n",
"plt.imshow(mc, extent=[x_stim.min(), x_stim.max(), t_stim.min(), t_stim.max()]);\n",
"plt.title('response');\n",
"plt.xlabel('position');\n",
"plt.ylabel('time');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+LKnmOfaNTiccp22iI25dUs/gw+or/aFbvdnyAdoJk5RuxYv24yJIJ0ee7+TT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mbSxF1VlZwrP852mED5+5Sr+ctCXMXvqj/KaRzHo9XlLLYxMfTZMpemBTzrMA/zktiBsqTPs65X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3XSgiT+S3SNvri+MLiglWvGDU+0zaZwUGIrBQ38cWrRcdLEVTbf8cp+tGjhmTqwy/PrK9Txfq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Yy8QAPgxohxjNV7DdMDwkQIByft5LC4oeTwMrm8+lasuoe2QGuqetcqWDfOBibB9V4QjliN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\nympHG01pPp4gwMq0bgo5QuiQIoYOw4KBVkmin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"text": [
"<matplotlib.figure.Figure at 0x115fd9b50>"
]
}
],
"prompt_number": 891
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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