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@lirnli
Created October 4, 2017 07:01
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Attention layer in neural networks
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{
"cells": [
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from matplotlib import animation, rc\n",
"from IPython.display import HTML"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1D filter functions"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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Sw/G5NC4v5/GTa860w0Gaa5CR5FMeoF/rOB1LI12s4s7rBq74/HV7B+B1OboiIJlJFjC3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\nmaJnxrwbEcNSpcpapuDZARH0+xiMNdeoohGWPIygQ/O1PI1giQzeGJD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m0oH7MLehZn64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jsm4pyZS960pM6OiupYegOW7XpmPnXTNdRFN03XYJcF3iwL94WaXWvbubpxfLSH6bUM+dLOZYFn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29qJPtig6p5TJUpA7iwMHDX2BgnJhfpjb3advhhqQGh2h6DzPq//epPUzr8zYse9jeWYPSr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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11dc82dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.misc import logsumexp\n",
"from scipy.signal import fftconvolve\n",
"\n",
"N = 800\n",
"xs = np.linspace(-6,6,N)\n",
"ys = np.sin(xs*10)\n",
"\n",
"sigma = 0.1\n",
"mu = 0\n",
"filter_gaussian = -(xs-mu)**2/2/sigma**2\n",
"filter_gaussian = np.exp(filter_gaussian-logsumexp(filter_gaussian))\n",
"filter_step = np.zeros_like(xs)\n",
"filter_step[395:405] = 1\n",
"filter_step /= np.sum(filter_step)\n",
"\n",
"ys_gaussian = fftconvolve(ys, filter_gaussian, mode='same')\n",
"ys_step = fftconvolve(ys, filter_step ,mode='same')\n",
"\n",
"fig = plt.figure(figsize=[14,9])\n",
"ax = fig.add_subplot(311)\n",
"ax.plot(xs,ys)\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.legend(['ys'], fontsize=16)\n",
"plt.xlim([-6,6])\n",
"\n",
"ax = fig.add_subplot(312)\n",
"ax.plot(xs,filter_gaussian)\n",
"ax.plot(xs, filter_step)\n",
"plt.xlabel('x')\n",
"plt.ylabel('probability')\n",
"plt.legend(['gaussian','step'], fontsize=16)\n",
"plt.xlim([-6,6])\n",
"\n",
"ax = fig.add_subplot(313)\n",
"ax.plot(xs,ys_gaussian)\n",
"ax.plot(xs,ys_step)\n",
"plt.xlabel('x')\n",
"plt.ylabel('y_filtered')\n",
"plt.legend(['gaussian_filtered','step_filtered'], fontsize=16)\n",
"ax.scatter(xs[100:600:5], ys_gaussian[100:600:5])\n",
"ax.scatter(xs[100:600:5], ys_step[100:600:5])\n",
"plt.xlim([-6,6])\n",
"\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D Gaussian Filter function"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Download and check image size"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(358, 477)\n"
]
},
{
"data": {
"image/png": 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Fr08YDkoqlVKbXjZs2IDTp09jenpaQSjSC6DF293drTY7yeCGDITpwSNplbHW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\ntXZKZCD+zrFy41GIra6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cCnHdiEZjo7w+W/XEXHOpP9eWaCQSwcDAAEpLS0UR0TVs9PfM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\nYnvI7Knx0MQhHYJ8f/ToUbzzzjtYXl7G1NQU+vr6jPO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"text/plain": [
"<matplotlib.figure.Figure at 0x11d6b5f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from urllib import request\n",
"url = 'http://a2.att.hudong.com/35/16/01300001050809129105160357566.jpg'\n",
"response = request.urlopen(url)\n",
"plt.figure(figsize=[6,6])\n",
"img = plt.imread(response, 'jpg')\n",
"img = img.astype(np.float32)/255\n",
"img = np.average(img, axis=2) #convert to gray\n",
"plt.imshow(img, cmap='gray')\n",
"print(img.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prototype implementation\n",
"\n",
"play with parameters to see effects"
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x11ac40748>"
]
},
"execution_count": 139,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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blpX1u/J2t4LJ5s2b0za3ykp2jC4a4SIJri2LRgxy9aYWXMzIRRkefvjhrtsnJyfTfVwk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\nUIGoXAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d8c6e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.misc import logsumexp\n",
"\n",
"gx, gy = 200, 200\n",
"delta = 5\n",
"A, B = img.shape\n",
"N = 64\n",
"mu_x = gx + (np.arange(A)-N//2-0.5)*delta\n",
"mu_y = gy + (np.arange(B)-N//2-0.5)*delta\n",
"sigma = 5\n",
"Fx = np.zeros((N, A))\n",
"Fy = np.zeros((N, B))\n",
"\n",
"for i in range(N):\n",
" for a in range(A):\n",
" Fx[i,a] = -(a-mu_x[i])**2/2/sigma**2\n",
" Fx[i,:] = np.exp(Fx[i,:]-logsumexp(Fx[i,:]))\n",
" \n",
"for j in range(N):\n",
" for b in range(B):\n",
" Fy[j,b] = -(b-mu_y[j])**2/2/sigma**2\n",
" Fy[j,:] = np.exp(Fy[j,:]-logsumexp(Fy[j,:]))\n",
"\n",
"filtered_img = Fx.dot(img).dot(Fy.transpose())\n",
"\n",
"plt.figure(figsize=[8,8])\n",
"plt.imshow(filtered_img, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visulaize Fx filters in log scale"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x11d48fc50>"
]
},
"execution_count": 142,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Rpfz/0nrgPEkvO+a8r9M21RlTX6d9pN8L733Ahqr99fmYtSki9uXnA8AtpF8n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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d887240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[16,2])\n",
"plt.imshow(np.log(Fx+1e-20))\n",
"plt.xlabel('Fx')\n",
"plt.ylabel('log(P)')\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visulaize Fy filters in log scale"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x11c92d6a0>"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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SWhZIkiRJktSyQJIkSZKklgWSJEmSJLX+P1Qc3ixsmIzoAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c971940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[16,2])\n",
"plt.imshow(np.log(Fy+1e-20))\n",
"plt.xlabel('Fy')\n",
"plt.ylabel('log(P)')\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reverse attention layer"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x11e5c2f60>"
]
},
"execution_count": 146,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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0MSuiRijDmqnqrIMqz33MmFxt+yFQm8xjFo+LKsLgWdvRRB4OFy6Xy9W1mKyV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1zVNP+CoB1Rc7KYC3mr3Yj27hG1c8om9hsH9WayjAj4JnWqWucdMfM6Pu4uy56p6R4pZ85DLwqw\nK5IOOHUW+wcRKdlxWRVBkHq8bDmIOYgxSDorvzpVQaSKUp6FtYOU4zxKIC4aE8eNdnDt6urP54+p\nq9c2DqKGuWPdJmo6U86RO8AkPkLQPUWtIXlun2gbN0yg9wHf7xrCVpJWom6p6dZQGbd7XC/O+Hb2\nR53CSdz7i4MiagclqZaybqnsTImOwIVveVxU1RGvz+qREXAWbnV1cPNuOgpWDUrUbEz1vNm5OJlM\n4dQ0K2Ndx+TNbc//x7ImlPHYc6sfBSFF/8kSwjg7Pd4PrsbcRQicus6ugYNT0i5K4Qha1bULfTvF\nzcutR7RUUev2cV3CCVBEwhbfR+pou+SxmHcE7dR0PA2ij2JlIWwl6ogsMVG3klZb13pif7DXRN0y\nSs4zdYa2lGePwrTC3HrDaRl6ikb/D8OekbQ7R1afEeXMXvkoMW8SPVAnJHMyWFnr/4rj4+Mr52ip\na84y5+sYxK3HcoQd5Qiydm2tIe5ICGNVHco5HsViEuPjBVmzqmUjzmTN5WOnR4167xrp2L6qaJ7P\nxqIdQbPqjWUl7RGyfvLkiX30K0jaRZ5a95CSdTz+FATNKtmFvpm0VU2PkLRzwDUClEXzsv2nut4v\n7DVRZ8hIQm+guEHCoOo6HStyJNgCE0GvvC6UqefRUFrLEcl+fLxRYh4xCmwwlRhd9q0rl0KzvrMx\naSaHWutapTLpRLuxymdEe/M1U2XN18GFu+NRMU4qi/koX5wjjqVZ33wtWDlm6loJOyMsJmdex2o5\nU9SOoB1ZK8FrCDx+2dvGsuxuPhcr6lZIWO9zdaxa5KwEzdu0EsgcUXO/4T4W9cgieo6cs7pOvPg4\nGKJ2HZnnddyw9XMerVM0uyp3K+zNN3qMv7kxrBYpZ4ToDF1Wjm3qw0pQCXJEFWgyGc9noe8g6lCk\nbAx7JKYqO4xqkAbwjED5kTCX3RxKms+vqj3mNRyvKtrNM1nHdMQx1Lq2SHaEsLN1GUFnylrD47ys\n5wqEIh1V0pzlra//bCWOHR8fXwp783FUDbfuRY4EaSje7euEwsR+4mCIWqFE0FPWI+S2yY3ixqVb\nZc3Wtco9qp5ZCbrjZ+XYlWEIIgryGj1XELVT0ZoMxYQT4c0nT569hpTJMOZ5XZY/EGWLX5CHU9Wx\nrA4Cl48VNV8bHq92dY72Y5JWx6Pn/Lg2dKTcI+kskpERvYa+g4zdd6iZvF1Zoh4tclaHm5U0j0/r\nS00cWTNJ9xLI3H3JfVvzDnrkPOLMTuwHDoqoHflkY0Zuvd50GYllN09Gzo6staxOWSvJZsagRdSx\n77bEvI1z4o4b9dvkuJpM1gp7BxGEor64uFiTdGwT1zdznmKbmA9iVkMaJK0EzcuZqubjcAj83r17\n631YQUe9WVFzX+GoSEt5ZWP6GjFw5Bzb9kidt9Pr4pQyT3kbR/AcQWn1Ib4/NKNaQ976gpORt5G1\nsrz52uo10bZ3tsfd3626TuwPDoqoGZk61hujFa7KvNwWRhU0q7yWgW2p/20I+iYVtBqlrD7xP+/n\ntl0ulzbE7ciCFXaoaSYOTuqKtnTXisla92PSZeWs46o8BhnEq+dmdc3nzcaleZn7D69zxl2HDJyi\ndsrVqepsG70mUR/NEHfhcE0i02zxjKRd32PnRh1vzfjW8WlW0q3XhepLkVoE64g6rrOzPbrPVNSH\ng4MlakaLcHsEGNu0MELOXBYmMVZwAfXI4xdJbi2CbimsTYh51EBkdW/tz6Hn1rb83eos/O2ImxU1\nh9xjymFjJUfgKlmzstaQd5AAr4vzx3qeMknzdWEjHspVCVrD3q4N3bVutaEStVPIjpT1P3cdgmyd\nmtYEMkfgzhGI/uP6W9wjmhjKBO0Sx/TnVDa/4KT3zoWe4833PzsY7Fi7Ok7sLw6CqDOV6G4eHbPq\njftmYawemHhb5Q1kr64cUdNcV93fTUfKMwpHCPq/U9dK1nqMWuv6+868TkOqTn3FF6yCiPi71jxu\nHOVT5QlcTlTSbYNMmbR1fNqNV6uqDvLnsvE06syEzWTN5d6EqPnYLut7ZKpDEi5krtGFVshblTWX\njcvs+pfeo46g9TWh2cc3OGlMn5nmR7sy26Ftr2XVco7cv7r/xP7hIIha4YguvG29ibNX/2UErTdL\nplb0f1e2jNh6RA3kX7jKyjpyk/dI12E01M/zrBCZuNiBivFlzbJl4/r48WMsFgu88cYbl8YOOSNb\nDbkiVHEgSCLmQ4nHtq5ucVz3qtHMsYr+yAqcw9pB4GrU1VnjiEDPmcwiEZlydcMOWVg8U9H6KUs3\n1ce19Hjcz1SJxtS9r5vD2sfHxzg6OsJLL72E4+NjPHz4EA8fPlzPHx8fr3/uAxzL5bKZoa0CQft+\ntFmvb2TiYmK/cZBEDVwlMjV0bpzIGUE+hkJJOvs/0DKkzpvuqWfdlvfX4/bWZdtkRLxJuL917Ghn\np64jC9o5Q065xTS+E81jnhyOZrLh5DLnhAVxhpHlkLGGwVVdZ0SmY8vq4Lm2UIXNkQANpWZQFexC\n29rOzgF1863f6Dh1Ng6e9R93H2vIm8PV+ppQVdKaMDYa7mZkTiH3c1431fMEcGBE7VRLy1vtebJx\nDIeMmFthOndMNz9SRt6udcxePbbBdUg64AwckxhwmajV6EeiWYROHVEHQbNqje3YcKoyVTBJcxa4\neySLnQeXDMX1YMJWZy9TX0z2TNajRO3ak/vrCPFmUFWuhJsRtiN0JmnnSDmHWyNk/BiWSw7TV4Lq\nM9YuaSyzE1GmEfQiHxOHh4Mh6p5Huglp94yehrY3Ia5tSBrofy86K+91DILWayRqsCnU+LKa5Fdo\naujVKa8w/EHiTJbxvyMPTfDR+rVUNRO0OgStH5O0OigtcFg82sy1Jc9n/TVT0W5Zy6DLeg5en41d\nK2GrsnfnirplalrHpHV82pF29rENJvxWqFuvA1+n7Bpsi0nw+4mDIeoMjpSdN+6IMfZnZDfciJrO\nbjJH0rw+MxLPM2zWI+3M+LTKomoQuGzw+NGmGLN2xl9DqcvlMg1Hc/Y19wF2EJiMo2yZqo7jqap3\nv546bRnwKEuUhwlby946RtSF1ylB8/peudw5nGOVkbXbVs8f0PshU9PZmHX2/HT2WtDeG8cYbrhC\ny99zQLSeE4eDgyRqJmReZpLW9Zsq1Z4Rc0bGqTZ3LjVIrqy6f1bObdFySNy8W87AZOPWA5efg2WC\n4QxuN0Z9cXGBxWLRfOyHk9VU0eo4IoddnaqO83K5sueAM7JWp6DXnqzyoz/0hlvccTOCdufm5Th3\n7xzqoDhiduFvdXpddnRrXFqJ14W7HXFzZjd/AyAjZwVfgywMnkU3sm0mDgN7T9Q9NZmFuFvPJLvj\ntDB6w7VC02oIsvFoV77n5YE7I76JQc8IWrfV8eosBJ6NeYaido8DcVIZf2Oax6uz8itJO8WYkXOc\nmwkoCxln549tmKRVaXM7Z9eP53vXVB0Vd44RAtM20bFxVdOZ48EOd6am9aUmPE7dUtP6+FXYiF5S\naVbniYlR7D1Rt5AR48h4bwtZeK5lXFpGzhG0/nfXSHqUtHuh72xdi6yfPHn2rHRMmbCXy+WlbxuH\n0ebkMn4feJxH217ryKq6Fd526+M4LcXqFLWScuv6tBwh3bY3z9ej5Wxt6ti22oTJ2pUjU9P6ilA3\nLp2Fv3lMO5azkHeUt3U/98BO3sRE4KCJGvBhb/3pzbjJeF/MjyTA6LwSNJe3Nd8rW7bNqHHIwnO9\naeaouDDgSPg09osyxKNVoUxdUtL5+fnaOOs4dSR7Mbmr0Y/z9hSRC+GOhrmzdtXjO5JutZuSZ/Z/\nb52Cj8cKnpPw3H3Ug2sXhTpPsc49hsWqWB+xcmFufqlJj6C13NomI+3Xij5NHDYOiqizMLgLH2fq\ntKcQMmO7aRlHVXSrXq3jZ/9d1zi4uvdIrTd211LWTAi11kvh4yBcF/oORR3zoaxDUXOIlBVeln3N\nddXwt7bJJklSOs/krOt5+20Ie5trr06Chtt7DvB1wM5rnMO9HtSFu7PXgG7y7m69/7K213btOfhu\n30nah42DImoHp5IzA9NDdnP2Qt6ZEs5UdGtdr57XRYtEHCHpti2jVUrpkrZC1RuHwTm5jJ+dDuMc\nZK0KOwibM8DD2PP5ODyr6GVzt9qoBSVlN8/HcoQ9GgLPMOIYRptFHbPsaI5UbAKNaqnjlj2ONfKV\nrJEsb7ULzlkajUZsG8mYOBwcLFG750udeh4hxJ5yaa3blKQ3IeeR/9321zESGQFlxksJhevFKpbL\np8dRsg5jqpnWQdaR9a3T09PTSwY6ksniWeiRiEqUjf9Xso51m5L0pufl424Sis3OlfVVp+7jOvD1\n0DFkdoa3IWx1qFtqWj+60SNpHo/ukbRr11YbZ855L8w/cbg4OKLOjE+PmEcJT2+00exOJekRcs6M\nZWvdTaBlXLIQsELry+HTEZWtCo2/iBXqOJLFgpiXyyXOzs6wWCxwdnZmVTV/YYuNdZRpmzbeNuN3\nUyeNoY7Nrs6d3U9M1PxVMvcmLybA+D+Opfeemx9V0yPPTrvHsHZF0JtiZoZPBA6OqIGrxl5J2pH2\nCPSG1Rstu4l3TdLPi6ABH/7WjF1H1rwvEzMTNM/Hds54aXuxklPCDmMc49IRAg+y1vc/O0PNGeej\nxnRbpbQJKW/iTPb26fW7nhMb7c/zLsnLkbVT19zu7n5RNR2PUfVIOlS2hruzx7A2Iene2LRGkSYm\nMhwkUTPczaPksClpb2KQewpf1+k+t0nSPbSIOiPsmLr2D7TqyGTqxqpDVYfR5sezmMQdWYfBBi4n\nlYXB7YH3zf5zde6pyG3RI2l3zqxcWqdwjoDLb5DTtlRydsSd1TUj+Di+e7xKCTuyujUrnMk+y/Lm\n67/JMAb3l0nWEyM4CKJ2JBs3ti6zMXLhLmdkHem01LS7Kd25NiHobN02GCWeFjSxLAy1SzqLc/L5\nM0cpc5zY2MU1CqJQHB8fX9qPy8c/fbwrCB/A+pWgPH7N5We4rOfsNZROvWd9cZfXW+dbjqqrjysL\nv+nNEZ2+jIY/Zcmv+ow+Eg4UX+sgfCbb+Azl0dHR+hOW/OnK+L300kuXlmM7/hgHk7UjaeDyl8t6\n7bzJtdsmyW5iP3EQRN2ChrRahqd3c2Uk3TuGnr81zY6xa498l2SdzWcKexOizoyn7svjo9kztZmy\nUkINuBB4/L/J8AqPybYSrrYl6k1C3dr+3Dczgu7dMzGkwGP9+myztnEsR0IfgCtOEb/Gk4/pztEL\nf3NZWio62jPuj9EM7ziGuxZ6/Odxf0+8WDgoou6R3whJ6nJvXMrtw1BVPzIdOe4u4Mha140QekbM\nLkM8QsojRK3b8rl0OyWA7CUYmunrDHfM87n0OirZ8jotU7btpqSYtf1Iv3F9Tcvs2n+EqLksPPzQ\nIli+XtFP4nE5PjY/Mhc/R9BZ0hiHxHXs3NkEJmnub+qIqm3R9T2bclv3/MTdxEERNdBPhtnEy71u\ntqdmt2bly87/PG7YESLedN+MpIGr0YgWefE5srZw5KJErIlkqq7UeAeJtDK/s7I6gmuNtTp1l5HA\n6DUYJelo/9aQUFauOE58wzuud6Z2nYMUv1DRMa99I3O2MjXNxM37LBYLG8kIKElzu2cOu5K0u369\n69G6dhOHgYMj6gwZGbgQJs9vS2JK0q2bd8RpuEloPZkcM0Xb2j+gb+TSfWIboP0pT22PLATulDXP\njyjqCMcGgrC5LfTacvJU1sf4+BlpZ4TI7eXaodVfMoeQx/lbBM2h/pbDEuXJFLVeA20TVtRMepqc\n5khaVbT70EYryz/KnpE04Ie7XJSltczH5euRheAnaR8ODpqoMyMV8y0yuM5NkpG0W97F+XYBVW5K\n1rpd9n9ADZ5TJHyMjLB1e3d8LhuTnxIDG2smWDXeMd7KhpgfG3IE5pR8kAUTDpN1RhwjfWE0k1i3\nydR+RtDqgPAx+bpx1ncvN0CvA5OyG6OOMjrizRQ1L8d26hS5NmVs85xz5qw5242nnFMAABBqSURB\nVDPiYE0cBg6aqB0cIfdumFFVzQStx27dtCPlVIyoqRG0xqiZSHlbVZmxrWsrDoPzOiX62D+MY5Al\nt5kri5Zdw8mtJCRVdo7Eogwxz9swkei5+dhufNTNR9u2rmtP5Smy4ZdWHaL9Ve25vsuhalbU/Ahc\nRtLRNpz17caoM2XeI2l33bO6MLZp1+ynTkHLJrhyZU7FxH7hIInakXFMnfGJ/7IQVPzPoc/sbVru\nRuR5VSWuvNvUcVvwcbJxt5ZTkBF0S7HoY1tK1vfu3VsTQMuw8jn5mrTGg5kcOaTqCFuPqyTC5c1I\nujU2m6nLXvvFfPS7XoJjixi0/kraLRLRdaqonfp15MkfSWHid85Mi6RdSDwLeSta5Jz1/8yuuCmf\nZ8RZaGES9/7hIIk6wDcJ36AZeeq+qiwZfPO5Y2bzLUPs1l/3EaqRm9oRdCy7EGuQRIxBO2PuQt+t\nxBw+h6r1bFtV6tq+jjAzslaSjnlnpPW4bJT5mExII6TdM97Z+Gmrj/TUW5RNicWFwx1R8bWI59D1\nNa0tki6lrJ9dj2OyQ9waKhhR1LzPpgTphnwA2LbJptxOfN9k16NnHyb2EwdN1AGnBNyN5G6WVpJV\nrHPnccdy5Rgpe2CUtDe9yfUcbHwdYfacmBZ6YXB3HdTIark0u9wRLhtWt+xC37xNK+ltJMSdjZVv\nQtRRV57qvKJH1DGG3lODmRJVoubXuWbDDqqOY0jBOcOuzdzz0a2xcHWqeuj156wte21YyrOhnRZJ\nTxweJlET+KbhddseS+d7RH3dcz4PjBJvS105sKruJZYxOYZx4zCvlrGVWZ4RMpOjC/vqtdOx4+zY\nPQXtHjFiQnL9paekNyVq4PLLRFrk0gvJX1xcrMsf49NKkj3CjrbTBL4ohyPcLHKRHTtzNHqJkFpn\n7gdK0K4dnXPOjp8e/y7bhombw8ERNaswXr6NMujydcqyqWrNyrKr82RJY247HZtWglGVrIqd1wP+\nvdPOCeipSWdQ1ZlzRtWpcJ135KJhdiUy5xBoW7uxVNee2gZRF62nI+rYNnNaXLkirKv1y8L/fPz7\n9+9fun6ctKdO0IhS1+uj/UXL3lqvfS/WtfqRbtM6zsQEcIBEregRjyo9R0BuGtAbcGS8t0WkIx7+\niILibTcxCJli01/vC1q6r5LpCKnGshKGvnubw656rqx93HmU1DgcmxlqJgIlKqfiM5LuKdcoB5cp\npq0XszgFmCloVdvup23p2tM5BK02iesZTtH9+88y4J0zpO2WbZO1I48R96AO5LZoDVmMDmNM7C+6\nRF1KOQbwCwCOVtv/RK31+0spfwvAXwbwv1ebfl+t9d+u9vkwgPcDuADw3bXWn7mBsm8FNV68no24\nfqBBP6/HGH1cQ9WfU4PXUbib3sTbeO/OMeEfv4mq1Zb8sQslUiZ6BRvYIIxepiwfM/uNhIlHodcy\nU+bX+blzZmV3itGVNVPH6qDwvlm/6bVjr34aLlYHxBFz5gjoei2n9o9RknZOnCY6Osc0u1ZZP9X7\nQ9t3E0d94sXEiKI+AfDuWutrpZQFgF8spfz06r+/V2v9O7xxKeUdAN4H4BsBfC2Anyul/OFa6wXu\nCLizZ+QRmakxHzdXL0yWqUBVXqpkdB+d12O3zr2Jot7EQcjO5dSwqtcWUatRyqIXUc74xfjnCJFF\nGfgLTXFt+ZrfJIH30DLeLlLj9s3K617NGtv1yJaPxePETGp6nCyKkV3n1rXW+rb6aqs/u77Ifah1\nzuxcuj23K8/Hck+BR/miP6odiq+28U/3n9g/dIm6Pr3yr60WF6tfqze8F8DHaq0nAH6jlPJ5AO8C\n8KlrlnVrKIGEQQ6DfXp6isePH+ONN97Ao0ePcHR0hFdffRUXFxc4OTnB0dHROqknU2w8BbyqCmSG\nQbdr1SebH7lR3fmuo6gzw+uMtCroMDy8juvSa1NH1K4+fPzT01Ocn5/j7OwMp6enODk5wcnJyboP\nPH78GCcnJzg9PcXp6SnOzs7WPzag8eNyhsIHnr2URT/jGO8V17Asl1NfsxnZ1z2111Jcri21PTMV\nmo1Hj7R3XOeLi4t1O3KbR1vHf+xMaeQlftHOMY32ytqa2ziOeXZ2ts4O50fBRhS1thOfwyWpuSEE\nDb/rfXF2dobHjx/j0aNHeO211/D666/jjTfeWPfRaDN2MCdR7yeGxqhLKfcBfAbANwD40VrrL5dS\nvgPAXyul/EUAvwLgb9Rafw/AWwD8Eu3+hdU6PeYHAHzgmuXvIiMyvpmjw7OxfvToEWqt6xtGH1Nx\nx9dHgIB2xrf+z9NeXXh5JBzmjr3Jud3xY9mFrHWdGm5WuG7smI+v0Qg2dC3y0LLHOU5OTtaGOsg4\niIN/TNRs+FWNuzA9K34mD/74x9nZ2aXychtp9jeHd7Nr1SJnV0YXxtZ2bIXss3IEXJQqyNi1OZM1\nO9Ma9QhEe8QLUeKTmEzOmvSm93/c25wXMKrY+cf2wSUTjjiV0Ue5rdgeqRN5dnZ2SXj0IhQTLy6G\niLo+DVu/s5TylQB+spTyTQD+IYAfwFN1/QMA/i6AvzR64lrrRwB8BABKKTfeq7gDq+HkGyLU86uv\nvorT01McHx+v32DkFHVGjo4Ee0pkU1XL85uGaDcl6db5MiXdUtYxf35+brfJ6tNSf7zelTuOr8TL\nCi+ctfgpabODF2XXLzppecNIn56eWgUNYG1wz87OsFwur5D0poraXSuHXj91zhDX0/UfJkMN5XKb\nB1lHO2fRDB6qYIcj2n6xWOD09HRdjpOTkyvlYaV6fn5+5cMcSqyttuJ2ijZi+zBK0iNEHe0TivrR\no0d49OjRup008tC6dyZeXGyU9V1r/f1SyicBvKfS2HQp5R8B+MRq8bcBvI12e+tq3XNHhMiUNPiG\nDYP8xhtvrG/eUgoePnyIo6OjNXHHjQg8M1JOpSh6ypqnAV12N9y2ZJ05Bj2HoafWXMh6hKxbY5aZ\noo750SgFH4fDikHaPWUdxjK26xE1Jz4xTk5OLpVDh1+CoN2rLV1INnMYs+uVoUXWOkzD9dR1Cg5X\nu5B0EJEStpJ1bK9tHYq61rp+e1nMZw65fkmL25gJdaStuJ34ox5M1kroWX91fZSH5SL8/eqrr67V\ndbQROzFTUe8nRrK+vwbA2YqkHwL4dgA/XEp5udb6xdVmfwbAr67mPw7gx0spP4KnyWRvB/Dp3Rd9\nDI6k+eY9PT1dk3TcsBF6PDo6WhvPlrfdCzP31J5TYb3jOyehZ5x7DkFWnux8cZ7RH5N0HLOXXNSq\nx0iUwpVTk3O4L/CPyeLk5OQSUWeh7+gjrCLjvI8fP77S/5bLJU5PT+33kd1bs1oOVXb9N3XcXLtu\nE4HRa65tHopZ2zvUNY9Zc1sG4iMd8TrS2CaGG2L/5XKJxWKBx48fpyR9HaIuJX8xjM5r+2ZtFnWJ\nNgkl/frrr18ia4026Dj1JOz9wIiifhnAR8vTcep7AF6ptX6ilPLPSinvxNPQ928C+CsAUGv9bCnl\nFQCfA3AO4IP1DmR8s2cfnfvk5OSSYYztYqwrSLqVSKbnAPrJWq11I/XIlkdu0Iystzk/k6kjWCZo\nt46dp+w4ek6nqkfroeouU3lBHjoNcsnUdCCIgl/UEU8OsFMQBJK9g9o9frQNRhW11iH+a7Vxi3DU\nQXaJZdEeEcYN0g6i1tCuOkXx42sIPI1ecPuGI75cLnHv3j0sFosrIesg1R60bZiolZjdz7WhKmoe\nCuHhmFDWr732Gh49etRU1CMRtokXA+UuXMRyQ2PUGnaKJJ7FYoHlconj42McHx/j4cOHeNOb3oSH\nDx/ipZdewvHxMb7iK77iSkZoy9vWdtyUmDcxwhlZb3ott3EU9DxqEHQMsUfeLlynx8nQGifN1GaQ\npj4CkxE2h7ljqCRL4OFwcfQV/tjEw4cPL30gIsiDv+zUenvWKEGOrGNkx71uBIgdMCYfN2bNDszF\nxQUePXp0xSHivuOes472Oz4+3ugd35nq7bUXb68vgeE2yo7dajdOpot2iSG6SC579OgRvvzlL6+H\nZzj6MMPgLww+U2v9o72N9v7NZJmnGt4730CcaRnjWe4Rmk3QMoK7wLZhrl05Cs5zbxE37+OI2x2/\nVfZWubNcAlV4jqxDxXFoMYxmzxAyeYSyDsLhCI0SCCtnVXps/HvXqtUPguQybBP5aTlFWRTFPSfM\nbX9ycrJex5ELdorUMQoCjjbndh0hacZIG/FUH7tSMs/ImZedrdKhGU66CzuV9clJ0PuDu0LU/wfA\n66vpzuAII7JDJwAAX40dt/nEEGa73w5muz9/zDZv4w+NbHQnQt8AUEr5lZEQwMTuMNv8djDb/XYw\n2/35Y7b5btDPnJiYmJiYmJi4NUyinpiYmJiYuMO4S0T9kdsuwAFitvntYLb77WC2+/PHbPMd4M6M\nUU9MTExMTExcxV1S1BMTExMTExOCSdQTExMTExN3GLdO1KWU95RSfr2U8vlSyoduuzz7hFLKj5VS\nvlRK+VVa91WllJ8tpfyP1fQP0n8fXl2HXy+l/PHbKfWLjVLK20opnyylfK6U8tlSyves1s92v0GU\nUo5LKZ8upfyXVbv/7dX62e43jFLK/VLKfyqlfGK1PNt8x7hVoi5P3x/+owC+A8A7APy5Uso7brNM\ne4Z/CuA9su5DAH6+1vp2AD+/Wsaq3d8H4BtX+/yD1fWZ2AznePpt9ncA+BYAH1y17Wz3m8UJgHfX\nWv8IgHcCeE8p5Vsw2/154HsA/BotzzbfMW5bUb8LwOdrrf+z1noK4GMA3nvLZdob1Fp/AcD/ldXv\nBfDR1fxHAfxpWv+xWutJrfU3AHweT6/PxAaotX6x1vofV/Ov4qkBewtmu98o6lO8tlpcrH4Vs91v\nFKWUtwL4EwD+Ma2ebb5j3DZRvwXA/6LlL6zWTdwc3lyffZ70dwC8eTU/r8WOUUr5OgDfDOCXMdv9\nxrEKwf5nAF8C8LO11tnuN4+/D+BvAuAX6s823zFum6gnbhH16bN58/m8G0Ap5Q8A+NcA/nqt9f/x\nf7Pdbwa11ota6zsBvBXAu0op3yT/z3bfIUopfxLAl2qtn8m2mW2+G9w2Uf82gLfR8ltX6yZuDr9b\nSnkZAFbTL63Wz2uxI5RSFnhK0v+i1vpvVqtnuz8n1Fp/H8An8XQcdLb7zeFbAfypUspv4umw5btL\nKf8cs813jtsm6v8A4O2llK8vpSzxNNHg47dcpn3HxwF812r+uwD8FK1/XynlqJTy9QDeDuDTt1C+\nFxrl6XcL/wmAX6u1/gj9Ndv9BlFK+ZpSyleu5h8C+HYA/x2z3W8MtdYP11rfWmv9Ojy13f+u1vrn\nMdt857jVz1zWWs9LKX8VwM8AuA/gx2qtn73NMu0TSin/EsC3AfjqUsoXAHw/gB8C8Eop5f0AfgvA\ndwJArfWzpZRXAHwOTzOXP1hrvbiVgr/Y+FYAfwHAf1uNlwLA92G2+03jZQAfXWUR3wPwSq31E6WU\nT2G2+/PG7Os7xnyF6MTExMTExB3GbYe+JyYmJiYmJhqYRD0xMTExMXGHMYl6YmJiYmLiDmMS9cTE\nxMTExB3GJOqJiYmJiYk7jEnUExMTExMTdxiTqCcmJiYmJu4w/j9IJ2UA1Y9cPQAAAABJRU5ErkJg\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e3aa7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[8,8])\n",
"# tmp = Fx.transpose().dot(tmp).dot(Fy)\n",
"tmp = Fx.transpose().dot(filtered_img.dot(Fy))\n",
"plt.imshow(tmp, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Make Animation"
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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pMrblZu5Jukl9akiQGhm4u9WlphmpKtlVi0u5+t99Nqbz/tixY3bs4MGDdixV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\nLLAAAHTAAgsAQAcssAAAdPB/AaQedFGq0qWTAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1161863c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def get_data(gx=200, gy=200, delta=1, sigma=1):\n",
" A, B = img.shape\n",
" N = 64\n",
" mu_x = gx + (np.arange(A)-N//2-0.5)*delta\n",
" mu_y = gy + (np.arange(B)-N//2-0.5)*delta\n",
" Fx = np.zeros((N, A))\n",
" Fy = np.zeros((N, B))\n",
"\n",
" for i in range(N):\n",
" for a in range(A):\n",
" Fx[i,a] = -(a-mu_x[i])**2/2/sigma**2\n",
" Fx[i,:] = np.exp(Fx[i,:]-logsumexp(Fx[i,:]))\n",
"\n",
" for j in range(N):\n",
" for b in range(B):\n",
" Fy[j,b] = -(b-mu_y[j])**2/2/sigma**2\n",
" Fy[j,:] = np.exp(Fy[j,:]-logsumexp(Fy[j,:]))\n",
"\n",
" filtered_img = Fx.dot(img).dot(Fy.transpose())\n",
" return filtered_img\n",
"\n",
"plt.figure(figsize=[8,8])\n",
"plt.imshow(get_data(), cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## animation: delta"
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAisAAAI4CAYAAACr7KkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11eba2470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import animation, rc\n",
"from IPython.display import HTML\n",
"\n",
"delta_list = 10.**np.linspace(-1,2,100)\n",
"\n",
"fig = plt.figure(figsize=[8,8])\n",
"p = plt.imshow(get_data(), cmap='gray')\n",
"\n",
"def init():\n",
" return p,\n",
"\n",
"def animate(i):\n",
" p.set_data(get_data(delta=delta_list[i]))\n",
" plt.title('delta = {:8.4g}'.format(delta_list[i]), fontsize=18)\n",
" plt.tight_layout()\n",
" return p,\n",
" \n",
"anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
" frames=100, interval=50, blit=True)\n",
"anim.save('delta.gif', writer='imagemagick')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## animation: sigma"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAisAAAI4CAYAAACr7KkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHDhJREFUeJzt3Xvw5Xdd3/HX2wSMQhYSgTUmVGgnjROtJHSlODgWCTgB\nrUH/QGntrJaaGUQLHYtGxo5StTK0Q7FImUZuq+AF8ZLoKE5cQZBaZLlYCCEN0iChSTZy23AX8u4f\n52z5ZdnL2f3d3ru/x2Mmc875nu/5fT/7yWWf+X6/57PV3QEAmOrLtnsAAADHI1YAgNHECgAwmlgB\nAEYTKwDAaGIFABhNrMA2q6pbq+oN2z0OgKnECsAaVXVBVf18Vb2uqu6qqq6qV57gM0+qqv9RVZ+s\nqo9U1W9V1cOPse8DqupFVfWhqvpMVd1YVU+vqtqUXxCcAc7e7gEAuSSJ1RnnuCTJc5J8MMlbkzzx\neDtX1fckeW2Sv0ry7CQPSPKsJG+uqj3d/X/X7HvfJDckuTzJi5LctPz5/y3J7iQ/s8G/FjgjlBVs\nAb6oqs5Nck5331VVD0pyV5J93f0DR9n3PkluTfL5JF/f3Z9Ybr8syduSvKy7r16z/w8neXGSf9Pd\nL1qz/beT/LMkF3f3Bzbr1wanK5eBYJNU1TlV9TNVdXNVfaqqPlZV76qq/3TEfke9Z2V5aeDmqvps\nVd1SVc+oqh9YXpZ47Jr9fma57dKqemFV3b483v6qumS5z/dU1dur6tPL4119lON9b1VdX1V/szzm\n31bV71XVN2787MzV3Xd3910r7v5Pk3xNkpceDpXlz3hnkjck+d5l0Bz2z5N8KskvH/FzXpjkPkm+\n91THDWcyl4Fg87w4yb9K8itJXpDFv28XJ3nciT5YVT+R5HlJ3p7kJ5N8ZZIfT3LwOB/bl+QTSf5j\nkgcn+bEkf1xV/z7J85O8JMnLkzwtyX+vqvd095+v+fyPJPlwkmuT3JHkHyS5OovLGY/s7ltWGPd5\nSc460X5Ld3f3Z1fcd6pvWj7+xVHe+59Z/L3+h0lurKovS/LIJG/v7s8cse9fZnEp8JsCfAmxApvn\nu5P8UXfvPZkPVdX5Wdy78K4kjzn8G1tVvTTJzcf56B1JvquX13ar6m+T/GIW0fT13f3B5fbfzOJ+\njGckWRsrV3b3J48Yy68keWeSf5vkh1cY/juSfO0K+yXJDyZ55Yr7TvU1y8cPHeW9w9suTHJjkvOS\nfMXR9u3uzy7/fl24GYOE051Ygc3z8SRfX1Xf0N3vPonPPSHJOUlesvb/wLv7jqp6dZKnH+Nz/7Xv\nfRPam5aP1x8OleXPuauqbs7iLE/WbP9kkiy/lXJukvtmcb/GzUn+yYpj/xdZ/Ia8ihtX3G+yr1w+\nHu0M0WeO2Od4+x7e/yuP8R7saGIFNs+zkvxqkndV1fuTvD7J7yf5/e6+5zifO/yV16OdRTnemZX3\nH/H6o8vH/3OUfT+aI86AVNXlSX42yWOT3O+I/Y/2M75Ed795lf3OIJ9aPn75Ud4754h9jrfv4f0/\ndYz3YEcTK7BJuvu6qnpYkidlcSPm47O4X+RNVfX47v7cBh/yCye5/f+v61FVfy/JG5McyiJYbk7y\nySzuo3hhkvuvMoCqenBWv2fl49396RX3nerw15IvzOJryGsdvqRz+LLPR5N8Oke51FNVX57kQUn+\nbBPGCKc9sQKbqLs/kuRVSV61vLzyvCxulL0qyW8d42O3Lh8vSfKnR7x3ySYMM1ncX3P/LO55ef3a\nN6rqq3LsSxdHemt21j0rb10+fnOSPznivUdnEX//O0m6+56qenuSy6vqy4+4ufhRWcTjgU0eL5yW\nxApsgqo6K8m53f2xw9u6u6vqHcuX5x/n4zdkEQdPr6pXrLnB9quzuCdkMxw++3KvVVSr6oeSfHWS\nVdf+2Gn3rPxZktuT/Ouq+i9r1ll5RBaX017R3X+3Zv9fT/KYLL5l9aI125+VxVotv7kVg4bTjViB\nzXFuktur6vosviFzMIt7UZ6exeWA3z/WB7v7w1X13Cy+gvzmqnpVFjdeXp3kliT/OBu/4u0fZXG/\nxK9W1S8tx/iYLC5h/XVW/G/FmXLPSlX91PLp4Rtev3HNtjd29xuTpLv/rqqemUVkvKmqfjnJriy+\nPXVXkp8+4kf/chZnlF6wvER4UxZz/N1Jfq67b92UXxCc5sQKbI5PZXGvxxVZ3Kty/yz+D/z6JL+w\ndgn2o+nuX6iqQ0memcWlow9msVbLPVnEyobe69Hdf11VT8wikJ6TxZmWN2dxr80vJXnYRh7vNPCz\nR7y+fPlXkjw3i/t7kiTd/VtV9ekkP5XkP2dxVmx/kp/o7nt9Tbm7P1dVj0/yc0memuSrsojBH83i\nK+bAUVhuH04jVfWiLBZvu6C779ju8QBsBbECA1XVOUeuclpVFyR5b5K/6e5/tD0jA9h6LgPBTI9d\n/hlCv5Pktiwuw/xQFpeTrtnGcQFsObECM70vi3sZfiiL+xo+k8XXWn+hu4/8iizAGc1lIABgtC09\ns7Jr165+yEMespWHBAAGOnjwYA4dOlQn3nOdsVJVV2bxp7qeleSl3f284+3/kIc8JM9//vPXc0g2\n2WKRVQDYXM9+9rNX3vfLTvUgyxU6X5zkiUkuTfLUqrr0VH8eAMDRnHKsZPFnWbyvu9+//APZfiOL\nP+8EAGDDrCdWLsxiVc3DbsvR/zTRq6vqQFUd+PjHP76OwwEAO9F6YmUl3X1td+/p7j0PeMADNvtw\nAMAZZj2x8qEkD13z+qLlNgCADbOeWHlrkour6uFVdd8k35fFH9IGALBhTvmry939+ar6kSR/nMVX\nl1/e3Tdu2MjYFhYJJPEVdmCWda2z0t1/mOQPN2gsAABfYtNvsAUAWA+xAgCMJlYAgNHECgAwmlgB\nAEYTKwDAaOv66jJwZrLeDlhvaBJnVgCA0cQKADCaWAEARhMrAMBoYgUAGE2sAACjiRUAYDTrrADA\nUVhvaA5nVgCA0cQKADCaWAEARhMrAMBoYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYT\nKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLEC\nAIx29lYerLvT3cd8v6q2cDQAwOnAmRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhtS9dZ\nOZHjrcHCaqxVA8CZxpkVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYbdQ6K6yftWrYCNbr\nASZxZgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEazzgrwJazXA5vPekarc2YFABhNrAAA\no4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGs84KAGyDnb6e0cn8+k94ZqWqXl5VB6vq3Wu2nV9VN1TV\nLcvH805xrAAAx7XKZaBXJrnyiG3XJNnf3Rcn2b98DQCw4U4YK939xiQfOWLzVUn2LZ/vS/LkDR4X\nAECSU7/Bdnd33758fkeS3cfasaqurqoDVXXg0KFDp3g4AGCnWve3gXpxh8wx75Lp7mu7e09379m1\na9d6DwcA7DCnGit3VtUFSbJ8PLhxQwIA+KJTjZXrk+xdPt+b5LqNGQ4AwL2t8tXlX0/yF0kuqarb\nquppSZ6X5AlVdUuSxy9fAwBsuBMuCtfdTz3GW1ds8FgAAL6E5fYBgNHECgAwmlgBAEYTKwDAaGIF\nABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA\n0cQKADCaWAEARhMrAMBoYgUAGE2sAACjnb3VB+zurT4kJ6GqtnsIAHAvzqwAAKOJFQBgNLECAIwm\nVgCA0cQKADCaWAEARhMrAMBoW77OCrNZBwc2hjWLYOM4swIAjCZWAIDRxAoAMJpYAQBGEysAwGhi\nBQAYTawAAKNZZwVgE1izCDaOMysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARhMr\nAMBoYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIA\njCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARjt7qw/Y\n3Zv2s6tq0342ALA9TnhmpaoeWlWvr6r3VNWNVfXM5fbzq+qGqrpl+Xje5g8XANhpVrkM9PkkP9bd\nlyZ5dJJnVNWlSa5Jsr+7L06yf/kaAGBDnTBWuvv27n778vndSW5KcmGSq5LsW+62L8mTN2uQAMDO\ndVI32FbVw5JcnuQtSXZ39+3Lt+5IsvsYn7m6qg5U1YFDhw6tY6gAwE60cqxU1f2T/HaSZ3X3vaqj\nF3fNHvXO2e6+trv3dPeeXbt2rWuwAMDOs1KsVNV9sgiVV3f37yw331lVFyzfvyDJwc0ZIgCwk63y\nbaBK8rIkN3X3C9a8dX2Svcvne5Nct/HDAwB2ulXWWXlMkn+Z5F1V9c7ltuckeV6S11TV05J8IMlT\nNmeIq9vMNVxgo1gPCODknDBWuvvPkxzrv65XbOxwAADuzXL7AMBoYgUAGE2sAACjiRUAYDSxAgCM\nJlYAgNFWWWcF2EDWAwK2ypmyrpMzKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJp1VgDg\nDHWmrOvkzAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBo\nYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZW\nAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0c7e6gN291Yfkg1UVds9BAB2\nGGdWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgtC1fZ4XTm3VyALaGda2+yJkVAGA0sQIA\njCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYzTorADCQda2+yJkVAGA0sQIAjCZWAIDRxAoAMJpYAQBG\nEysAwGhiBQAYTawAAKOdMFaq6pyq+suq+ququrGqnrvcfn5V3VBVtywfz9v84QIAO80qZ1Y+m+Rx\n3f2IJJclubKqHp3kmiT7u/viJPuXrwEANtQJY6UXPrF8eZ/lX53kqiT7ltv3JXnypowQANjRVrpn\nparOqqp3JjmY5IbufkuS3d19+3KXO5LsPsZnr66qA1V14NChQxsyaABg51gpVrr7C919WZKLkjyq\nqr7hiPc7i7MtR/vstd29p7v37Nq1a90DBgB2lpP6NlB3fyzJ65NcmeTOqrogSZaPBzd+eADATrfK\nt4EeXFUPXD7/iiRPSPLeJNcn2bvcbW+S6zZrkADAznX2CvtckGRfVZ2VRdy8prv/oKr+Islrqupp\nST6Q5CmbOE4AYIc6Yax09/9KcvlRtn84yRWbMSgAgMOsYAsAjCZWAIDRxAoAMJpYAQBGEysAwGhi\nBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBoYgUAGO3srT5gd2/1ITdUVW33EABg\nR3FmBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARtvydVZOd6f7OjEA7BxnytpgzqwAAKOJ\nFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBo1lkBgDPUmbI2mDMrAMBoYgUAGE2sAACjiRUAYDSx\nAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysA\nwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBoYgUAGE2sAACjiRUAYDSxAgCM\nJlYAgNHECgAwmlgBAEY7eysP1t3p7mO+X1VbOBoA4HTgzAoAMJpYAQBGEysAwGhiBQAYTawAAKOJ\nFQBgNLECAIy2peusnMjx1mABAM4cJ/N7/spnVqrqrKp6R1X9wfL1+VV1Q1Xdsnw87xTGCgBwXCdz\nGeiZSW5a8/qaJPu7++Ik+5evAQA21EqxUlUXJfmOJC9ds/mqJPuWz/clefLGDg0AYPUzKy9M8uNJ\n7lmzbXd33758fkeS3Uf7YFVdXVUHqurA3XfffeojBQB2pBPGSlV9Z5KD3f22Y+3Ti7tkjnqnTHdf\n2917unvPueeee+ojBQB2pFW+DfSYJN9VVU9Kck6SXVX1qiR3VtUF3X17VV2Q5OBmDhQA2JlOeGal\nu3+yuy/q7ocl+b4kf9rd35/k+iR7l7vtTXLdpo0SANix1rMo3POSPKGqbkny+OVrAIANdVKLwnX3\nG5K8Yfn8w0mu2PghAQB8keX2AYDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA\n0cQKADCaWAEARhMrAMBoYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhN\nrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQK\nADCaWAEARhMrAMBoYgUAGE2sAACjnb3VB+zurT4kAHAac2YFABhNrAAAo4kVAGA0sQIAjCZWAIDR\nxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBoYgUAGE2s\nAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoA\nMJpYAQBGEysAwGhnr7JTVd2a5O4kX0jy+e7eU1XnJ/nNJA9LcmuSp3T3RzdnmADATnUyZ1a+rbsv\n6+49y9fXJNnf3Rcn2b98DQCwodZzGeiqJPuWz/clefL6hwMAcG+rxkon+ZOqeltVXb3ctru7b18+\nvyPJ7g0fHQCw4610z0qSb+nuD1XVQ5LcUFXvXftmd3dV9dE+uIybq5PkQQ960LoGCwDsPCudWenu\nDy0fDyb53SSPSnJnVV2QJMvHg8f47LXdvae795x77rkbM2oAYMc4YaxU1f2q6tzDz5N8e5J3J7k+\nyd7lbnuTXLdZgwQAdq5VLgPtTvK7VXV4/1/r7tdV1VuTvKaqnpbkA0mesnnDBAB2qhPGSne/P8kj\njrL9w0mu2IxBcebqPuqtTQBsg+WJiPGsYAsAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOt\n+mcDbRjrbADADKfL78nOrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJ\nFQBgNLECAIwmVgCA0cQKADCaWAEARhMrAMBoYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgB\nAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBg\nNLECAIwmVgCA0cQKADCaWAEARhMrAMBoZ2/3AHaae+65Z7uHAACnFWdWAIDRxAoAMJpYAQBGEysA\nwGhiBQAYTawAAKOJFQBgtC1fZ8U6IwDAyXBmBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEA\nRhMrAMBoYgUAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaCvFSlU9sKpeW1Xvraqb\nquqbq+r8qrqhqm5ZPp632YMFAHaeVc+s/GKS13X31yV5RJKbklyTZH93X5xk//I1AMCGOmGsVNUD\nknxrkpclSXd/rrs/luSqJPuWu+1L8uTNGiQAsHOtcmbl4UnuSvKKqnpHVb20qu6XZHd3377c544k\nuzdrkADAzrVKrJyd5JFJXtLdlyf5ZI645NPdnaSP9uGqurqqDlTVgUOHDq13vADADrNKrNyW5Lbu\nfsvy9WuziJc7q+qCJFk+Hjzah7v72u7e0917du3atRFjBgB2kBPGSnffkeSDVXXJctMVSd6T5Pok\ne5fb9ia5blNGCADsaGevuN+PJnl1Vd03yfuT/GAWofOaqnpakg8kecrmDBEA2MlWipXufmeSPUd5\n64qNHQ4AwL1ZwRYAGE2sAACjiRUAYDSxAgCMJlYAgNHECgAwmlgBAEYTKwDAaGIFABhNrAAAo4kV\nAGA0sQIAjCZWAIDRxAoAMJpYAQBGEysAwGhiBQAYTawAAKOJFQBgNLECAIwmVgCA0cQKADCaWAEA\nRqvu3rqDVd2V5ANrNj0oyd9u2QDOTOZw/czh+pnD9TF/62cO12+r5/Bru/vBq+y4pbHyJQevOtDd\ne7ZtAGcAc7h+5nD9zOH6mL/1M4frN3kOXQYCAEYTKwDAaNsdK9du8/HPBOZw/czh+pnD9TF/62cO\n12/sHG7rPSsAACey3WdWAACOS6wAAKNtS6xU1ZVVdXNVva+qrtmOMZyOqurlVXWwqt69Ztv5VXVD\nVd2yfDxvO8c4WVU9tKpeX1Xvqaobq+qZy+3mcEVVdU5V/WVV/dVyDp+73G4OT0JVnVVV76iqP1i+\nNn8nqapurap3VdU7q+rAcpt5XFFVPbCqXltV762qm6rqmyfP35bHSlWdleTFSZ6Y5NIkT62qS7d6\nHKepVya58oht1yTZ390XJ9m/fM3RfT7Jj3X3pUkeneQZy3/2zOHqPpvkcd39iCSXJbmyqh4dc3iy\nnpnkpjWvzd+p+bbuvmzN2iDmcXW/mOR13f11SR6RxT+PY+dvO86sPCrJ+7r7/d39uSS/keSqbRjH\naae735jkI0dsvirJvuXzfUmevKWDOo109+3d/fbl87uz+JfzwpjDlfXCJ5Yv77P8q2MOV1ZVFyX5\njiQvXbPZ/G0M87iCqnpAkm9N8rIk6e7PdffHMnj+tiNWLkzywTWvb1tu49Ts7u7bl8/vSLJ7Owdz\nuqiqhyW5PMlbYg5PyvISxjuTHExyQ3ebw5PzwiQ/nuSeNdvM38nrJH9SVW+rqquX28zjah6e5K4k\nr1hejnxpVd0vg+fPDbZnkF58D9130U+gqu6f5LeTPKu7D619zxyeWHd/obsvS3JRkkdV1Tcc8b45\nPIaq+s4kB7v7bcfax/yt7FuW/xw+MYtLut+69k3zeFxnJ3lkkpd09+VJPpkjLvlMm7/tiJUPJXno\nmtcXLbdxau6sqguSZPl4cJvHM1pV3SeLUHl1d//OcrM5PAXL08avz+I+KnO4msck+a6qujWLS+CP\nq6pXxfydtO7+0PLxYJLfzeIWA/O4mtuS3LY8K5okr80iXsbO33bEyluTXFxVD6+q+yb5viTXb8M4\nzhTXJ9m7fL43yXXbOJbRqqqyuEZ7U3e/YM1b5nBFVfXgqnrg8vlXJHlCkvfGHK6ku3+yuy/q7odl\n8d++P+3u74/5OylVdb+qOvfw8yTfnuTdMY8r6e47knywqi5ZbroiyXsyeP62ZQXbqnpSFtdtz0ry\n8u7++S0fxGmoqn49yWOz+GO870zy00l+L8lrkvy9JB9I8pTuPvImXJJU1bckeVOSd+WL9ws8J4v7\nVszhCqrqG7O48e6sLP5n5zXd/R+q6qtiDk9KVT02yb/r7u80fyenqv5+FmdTksUljV/r7p83j6ur\nqsuyuMn7vknen+QHs/x3OgPnz3L7AMBobrAFAEYTKwDAaGIFABhNrAAAo4kVAGA0sQIAjCZWAIDR\n/h+zhDuJkKM0ugAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121e4f898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import animation, rc\n",
"from IPython.display import HTML\n",
"\n",
"sigma_list = 10.**np.linspace(-1,2,100)\n",
"\n",
"fig = plt.figure(figsize=[8,8])\n",
"p = plt.imshow(get_data(), cmap='gray')\n",
"\n",
"def init():\n",
" return p,\n",
"\n",
"def animate(i):\n",
" p.set_data(get_data(sigma=sigma_list[i]))\n",
" plt.title('sigma = {:8.4g}'.format(delta_list[i]), fontsize=18)\n",
" plt.tight_layout()\n",
" return p,\n",
" \n",
"anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
" frames=100, interval=50, blit=True)\n",
"anim.save('sigma.gif', writer='imagemagick')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## animation: gx and gy"
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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WAICuCSsAQNeEFQCga8IKANA1YQUA6JqwAgB0TVgBALomrAAAXRNWAICuCSsA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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1192b2908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import animation, rc\n",
"from IPython.display import HTML\n",
"\n",
"gx_list = np.linspace(0,A,100)\n",
"\n",
"fig = plt.figure(figsize=[8,8])\n",
"p = plt.imshow(get_data(), cmap='gray')\n",
"\n",
"def init():\n",
" return p,\n",
"\n",
"def animate(i):\n",
" p.set_data(get_data(gx=gx_list[i]))\n",
" plt.title('gx = {:8.4g}'.format(gx_list[i]), fontsize=18)\n",
" plt.tight_layout()\n",
" return p,\n",
" \n",
"anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
" frames=100, interval=50, blit=True)\n",
"anim.save('gx_gy.gif', writer='imagemagick')"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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