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@nlw0
Created September 25, 2017 21:08
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Homography and image spectral analysis
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{
"metadata": {
"name": "",
"signature": "sha256:33f70b84c96026a5df30f2327605c1c683983fa7bae54042c6c6c3fafcd8779c"
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"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Homography and image spectral analysis\n",
"======================================\n",
"\n",
"I've been reading some 90's papers about shape from texture and related things, including [some work from a Brazilian researcher](https://pdfs.semanticscholar.org/851f/bc5d206922371ceb589210c68f9664f72801.pdf), and I wanted to make a small experiment to visualize what happens in the spectrum magnitude of a simple sinusoidal image when we perform a homography transform. There it goes..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib as mpl\n",
"mpl.rcParams['figure.figsize'] = (10,10)\n",
"\n",
"from pylab import *\n",
"\n",
"\n",
"import scipy.signal\n",
"\n",
"N = 1001\n",
"ay, ax = mgrid[:N,:N] - N // 2\n",
"\n",
"def getimgs(ta, tb, T):\n",
" # Homography matrix (we end up not really using all of it)\n",
" H = array([\n",
" [cos(ta), -sin(ta), 0],\n",
" [sin(ta), cos(ta), 0],\n",
" [0.00, tb, 1.0],\n",
" ])\n",
"\n",
" hx = H[0,0] * ax + H[0,1] * ay + H[0,2]\n",
" hy = H[1,0] * ax + H[1,1] * ay + H[1,2]\n",
" hz = H[2,0] * ax + H[2,1] * ay + H[2,2]\n",
"\n",
" bx = hx / hz\n",
" by = hy / hz\n",
"\n",
" qq = bx # We'll just plot a sine function depending on x. Rotation given by the homography...\n",
"\n",
" ## Gaussian window\n",
" w1 = scipy.signal.gaussian(N, N / 6.0)\n",
" win = outer(w1,w1)\n",
" \n",
" W = 2 * pi * T / N ## Don't mind the letters I picked, this T is not a period!\n",
"\n",
" ff = sin(qq * W) * win\n",
"\n",
" FF = sqrt(abs(fftshift(fft2(ff))))\n",
"\n",
" return ff, FF\n",
" \n",
"ion()\n",
"\n",
"T = 10.2\n",
"\n",
"def plotit(ta, tb):\n",
" ff, FF = getimgs(ta, tb, T)\n",
" figure(figsize=(10,10))\n",
" subplot(2,2,1)\n",
" imshow(ff)\n",
" subplot(2,2,2)\n",
" imshow(FF, extent=[-N/2.0,N/2.0,N/2.0,-N/2.0])\n",
" plot([-N,N], [0,0], 'c--')\n",
" plot([0,0], [-N,N], 'c--')\n",
" plot(T*cos(ta), -T*sin(ta), 'r.')\n",
" plot(-T*cos(ta), T*sin(ta), 'r.')\n",
" ylim(30,-30)\n",
" xlim(-30,30)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ta = 0.3\n",
"tb = 0.0\n",
"plotit(ta, tb);\n",
"suptitle(\"No perspective (straight sinusoid sheet)\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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3z/Tev52IfgzA2wGsATzTH1M4T6FQXCpcWvJ1DBhLW+2C9BmDpPWa1H1V88rU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AU17QVZ8dJwkWiSBOm8z6pT5f7NpEd6Y5HfKVsvN+P7k0rX/Psifldv6s1Sw7kj30llBtfjy9y/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\nJeEiQkxyMI8booT4Q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OL/fwfAjwP4IaXUfx2/9v3xR74fwA8qpX4XwB8C+PPXeeB3EaUM\nBF1UtQ5ImfIi6zF/f1onXdwVV79qYC8RXciNhvYenqpfFfot5ToemaMdtNfhAq/ra7BPSuaJCe9U\nWSWUfiwmYjaNGaqeLwqL1cmPpaMcqKOMWT6+PPbBZesCGmXvAcu19LkCVw0D8VPVUUP8nFyQC8OI\nofAawdXPdX4eg/To7bI/gBO5Wy2TD2XV9QbeizQ0NBDabMeGhbjWbEfv/V8D8NeKL38IwFdX7rsD\n8C3XWQ+4IenR+6PtjOUFSkqP9TUOH3Ii02kADmkNsSa04tmG5TGYcMnb0VfEx648F67guLzzkRLz\na+s465jY0O05qU4a66X06JyukiJacs6PRRJn9nxSaYirXVRlc0SMqJp4oHronIO2Cl7Tc6u9YpJU\nJuKqvOXXr0Ym5esiq1/HqkCl/08e81TQ43qSlbD7DKXUiwDeB+AFBJr9fd7771VKvRHAP0Dwuf4+\ngG/x3n/u1h5oQ0PD2aIl3D9BzKWbZxDSY7iZzPGHD15EDJAcdWA9JifFmKGJ9ggUvq+UdD+R6ooF\nZKgqk6MsbqLeWSlzvqTEWUqqkjhmJIyqYBXZNvdh0euCbEpA9XxpQfZmZFt6THItfjnEa8LrVs4b\n/zxLqir7XlXirKD0Ii7Bk1YGz1R6HAH8Ve/9vwjgawF8p1LqXwDwXQB+2nv/VQi2ie++xcfY0NBw\nxnh2ydehcscMFpuSC8KwpANN/s+YSTafZonlRC8jKwXRSh/TC/sciZBkhc3mBenLIjOIhJnk9yo9\nZ9nzIdnR+cyPlQjffIyGjrMjmfRl/rbivIlzRxW/9JxkFW5K9nLiepgUld68tP7krrNYSrjo2IsP\nfqAyuGidZwDe+096738lfv4agN9EaB6SWYXvRcowbGhoaDgJZ0m+ntaFI5GSI8d2y4nW/FppzezC\nezTvKa9+zXu/VL2CU0uhlxWbgqxQlWrugq8UJmOMtE6303OsPI/CjzUhMSWpFH4sWjc9x8pJENW8\nsMa0uSA7X/RYa1UvdXwf1o5bcNbs+dTOTblG9jpVqnZX2+cn/8gzA6XUOwH8cQC/AOAF7/3LQCBo\nAN58e4+soaHhnHGW5OvGcJUL1QnBlxl5OESKFhx7clwp/wlZK32/bu7nqo3JZxVOpbqKdynrsJyu\nI4+V/Fh5N99knaK7ck7irJ2zbKA2jzcSBKwIQk3riEqhfG6ueL1yFpQIZEUWnL4+tddISJIVlHvh\nkH+tikrls+HqUEo9hzCN4z+NFbDyxLYT3ZCjzXZsWIhnm3ydgOw6vIQkVS6A5UUx8xRlVaHjPp9a\nJMTcuky4qhUcJapIM76vSCCcy6tTtSWlj4yIikyjVxV7WSJyU4nTUcWrJJR0vmKUBRG+OR9brZpX\nk3DL1yknqOXrM3k4s6hVwaqYOdDR/XCNyu6BZW98nXOBCiPTfgTAD3rvKS7nZaXUC/H7bwHwqdt6\nfA13FG22Y8NCPFPkq3rhOHIxuQmJs5Ql56tgx9ef+9ms+nXoORUVnIxcVOYjhmNPPVOy4lZ7Esl/\nFQmXLoheGUzL1SeXSZyHSEsilFPSWpLZ/DzJTkRM1qquUx47i9JI98ue00wG2zEixsedyXxbgiY/\nXht/F8BveO//tvjajwF4T/z83UgZhg0NDQ0n4WzJ122/mz5FIjz1uKXcNEfASlkuW8tPSVjpYZur\nsk3IisvJyqGqER93hhTVSl/ee66yyTVzibOosInK04QQVXxsfL6K53XoeWTPSQuCqqavUYkaAV9U\n+aqtfWSvZ4csKninrtkIGKCU+pMAvh3Av6WU+mWl1C8ppb4JwPcA+NNKqd9GCJX+67f5OBsaGs4X\n18r5ujco/T0zUOq4TSw7lLhx6uw8pabzBvN10ogZusCGn0EM9Jwatek+EGTIawXlPSCOla9RkC1d\nSIA0UzDrECxIFwW7egUVZyCiSo6CtKkc/e+ysNXynPB5UXHsj4sBrV5xjloNExJ5YARQsRiUyFPz\nM3ls+VoI57cgtLf65uHIRl4ioZ76+Guv3V2F9/7/AmBmvv2NT/OxNDQ03E+cbeXrLuCw+X7qITo0\nezERovzrSzrq6NilofzgmpXoCX4steMfqHjNZkoVVahDfrbasbnTkqIoSuKl88evtRZyoMqqVYyi\ne1KuNZEfBemrVQZL832Jcg/U4kAygl345Uh6lGsewiHf3xxuu4Lc0NDQ8CzirMnXTfixxDcWrVMu\nOeeTug5Kr8+stOXyi+0hrxkdp9p5eOQCX5MeS6JSlR7lOjN5YzMLChLpMoJUI3rlMWXQ6uEg1APe\ntQokqSv9X4ciQSSRm3z9BBw9bw0NDbeLs5vt2HBbOGvydeN4ErJIWek43DQCgQAAEU9JREFUceTL\nUr9PRigWkgl5fEmUjpEwSoZHhXQBdX8UkSLK/Crvmz/2uh+rWi1S+bES0TtMVqbSYyKYmCFLac3l\nxH/SbLFk6kG53lXI/R2U+BppbLj3aLMdGxaika8SCy5axz0x9P9MZ+IhmU7ITWX16xCRqB23pkJl\n0p/Oqzel7Akgi5vI1vKl1OnrpEisk5GiomIoz1lOipCRvLluRFnNOyRvTo5RVL8OkeMyN2xpJaq2\nDZYSMD6NRwjYsT13eI0brCA3NDQ0NBzF2ZOvp3XhuNa79gpxOKUCtqijblL58vLLtYPOVofUtCEx\nHSsjW8iIUe1xlxW1g4TlkB+r8tzosdJack0ietnXsucy9WBJAlZKnBMifAI5puNjwfORT+zalaJG\nkBoaGhruJM6efJ0z5i7u/LUFOU9yxMycTFc7bnZbeL+O+r54zbpRvbpe4Y86JAnO+rGK45dVNpkj\nlq8pH0f14VWrenNIJC9/bk8SS6tfDQ0NDQ3ngUa+roiTr7cnVCFq8t9xaWtG4jxGiHStYpQTo0nX\n3oLKmpQXgXp3Zek3y9eo+7EOkTwUx60FoZbnhomdqxOwUrLlJwdMz115vxlIInsqlhCwWkX06HHP\noYLc8MxjanMoPxoazgP3gnzd5QvHpAPx2Lq1CpggKUcWm1S/aM15Era8elOSlcxr5g8Y1Q+Soooc\nKJjPxI+14HWbVtqO+L5Q+6O+tAI2lR4nxxWzMOVBJx69eLtG5LIK3syUgFmUT6TJkQ0NTwZttmPD\nQtwL8nVbOMRXDl3fTjFb1yTCG6sezFVw5JpHcqyOGdXLKtpif1mVQPLC2Qme+MkqhGvWfF+SSEzJ\naiZx6vyxy+NfBVetgJ2+UCNcDQ1PHG22Y8NCNPJ1Im7CeH/T62aVFUy9X0uOOyEnRW6VJCiTOIiS\nvCwIdj3kL5s8v8oaB9cpPWWH8rfSjcnX5s5fRh4r46AWPKF8nZn8stO17ePrHtqDd7mC3NDQ0HCf\ncCfJ1zm1yy9ZtrbOUlIEnGi0XrCW9GKF2/P+pfKxlOtMPFIu3WZSUgS71ghYXX5EIT3m3YglDkZB\nHAhCTSrnPGmdvF4z52hR1+PcMWdQkx6PoUVBNDQ0NE/c3cWdJF8NCdeVtg75vg6RrEM+KUlW5LFP\nud4fWmuO+NS8WHWL2XI/VHnsQ4+juk5FGp5fa9HdGhoaGhruORr5ugGcxImWVD5qZu4TZvxJ4/1R\nHPBGHYuCACqmcT8lZ/JYE5nukKdsxo9F65SPW/6frbm0G7GQVmm9UytUi3BF0ndfFLsmPTY0NDzL\neObJ121LnDcpD0nf1ylryArOEv9SbabkEn9UuC3XnJcESz/WoW7EmiR4SrNCOQLoKpgjx0u7SI8e\nv2hSWILb3tsNDc8c2mzHhoW4s+Tr3Iy8V61+hZuHqytMWA74surLTPOrys/r69WrSMfWOHps4QFb\nbrYXnx9Zp3bMYx4suU6tYSG/T43kLctkO/bYG4FpaLgHaLMdGxbizpKvc8TT5n7yIj+5uM9c4Ofz\nvso0+MMVsLLKNpcr5r2vSIHy83lJMJM4Z44959kq/VinSo+151Uef/I1XT7PIxviRBKer7/obg0N\nDQ0NdxCNfOGW5JkrdrpdZcTMwWHRqugQnMnImj/4dF5hdZ1SAryiJHjqOuXjX1o1rK19CEtfn8lh\nju2DA491mf3v7kqPzffV0NDwrOJOk69z/IN+Y8tf8UDlKZszxi97CKcRiUOdg7XjXUUSXLzOjAS5\nCH5q9D+E2yQr9FQbj2loaGg4H9xp8nWueNIXwyuPlTl23BOM91kFaoYYVQnGAp/UIUlwGjtxXEqd\nez6lbDvXsLAUh6pfB1+z5vdqaGhoeKbQyNc1cFvS46nrLKriHKgUlf/PGcZPra5lifc4oZHgqkOp\nT1lnpvo1WXvmOFeRh+8SmvTY0HAFtNmODQtx58nXXfas3CauWv1aSlxqnqylONolWFvvVIlzSTci\npsb7JZgjrke9c8i52HH/19WJ+Ck4t73d0HC2aLMdGxbizpOve4+TpUHxueyuyzKyasvk1ZvDg7Dz\n24fAUt1C4z09ietInLUuyzmJs/b8niaUXp6239DQ0NDwbKCRr1vAhCjMEZUFPqhDF/frVjzmjnuU\nkAmyVIuAOLjmQhO+XGfpY1wyJSB7uEeM/fNrn3T3mcXnv3aXpbomPTY0NDQcx70lX/fZs3Lykku7\nEDOyV/l+edgK+bnSOTwhdDUucm1CdDzH7Jbk7ickEZ7L3m5okKhNtmi4Dnzx0XBbOAvy9Uz80j2l\n53gyaVmYqj/pelwY0XAliVN+7cQoiDII9SiWVL9mIiCOHPLwHYrz2dDQ0NBwf3AW5Kvh6mDScOBC\nfoo0eMqswlO7K0/FdboRr7Ne+fl9Rqt+NTScgDbbsWEhGvkqcKvdlUdT1Ouy4I2sXV0v/n9qarv8\nnltAxIBFfqxDix7rRgzHztdaeOjie8fmcJ7+Gt23jt5nhZg2NEzQZjs2LMTZkK9nxrNyhfiBY4ep\nf/8JXSArMt2ppOiY6f4qFahJuv6CDsQlVcOr4By3ZUNDQ0PDzeFsyNczhYV+n5MrK5VcrAl5mTGi\nn0RWTsBTj344IYfrptc7V9zlKltDQ0PDOaKRrxvCbXVXPumL+5XIyhUiGq4kCV4xCiJbl6ptx57b\nDYwdOnz4+yU9NjQ0NDTM46zIV7tA3QBuMPvr2tWwJ2SGn1tnbkzToedxUyn0NO/zPlTCGhoaGhqu\nh7MiXw11PKkL+iGyUhKWpGye7pMq17mqH+tZ7Ea8y2ivQcMzhzbbsWEhGvm6ZdxKNe8pXxSvZJC/\noh9raRjjjabQ3yLuc5hwQ8PZoc12bFiIo+RLKfX9SqmXlVK/Jr72RqXUTymlflsp9ZNKqdeL732v\nUup3lfr/2zv7GKmuMoz/Hj5twQJtU6oiH0o/NGlEEktNNVpbKmCkmFhtTANU/2iMUVMTLYgRY1ql\nJo0hqdYYI7a1LVjwg6QqlKCJTdxVAwu1pRTaCAvIGmPB+BFS6esf59zu3WFnd4advedceH/JzZ45\nM7PznHnvPefc8/GMeiTNK+WvkPRCfM/ysxWc89RjygaqyrVfLTPIbzC28znFCFsn12NV5ULv0931\nRdJESd2Sdkt6RtLamD9bUlesxx6XNC61Vsdx6kkrI18bgA825K0CdpjZVcBOYDWApMXAW83sCuBO\n4HsxfxrwVeBdwAJgbbnDdq5y5NDBSj+vvKZo2La/zYa+nbLk3EHuLZVjRB3WhCOJBb0Vn1/nC2Z2\nCrjBzN4JzAMWS1oA3Afcb2ZXAieATyWUeR5Ro5uSnp7UCpyaMGzny8yeBl5uyL4FKNzkHoqPi/yH\n4/u6gSmSphM6b9vN7KSZnQC2A4tGLj9vRrPzNbQL/eD5IxnBOXLo4IhHv1plND+nMSYj7oAlHK0a\nyfmVcwc5B8zsPzE5ERhH6AHcAGyJ+Q8BH0kgzckZ73w5LXK2a74uM7M+ADM7DkyP+W8CekuvOxLz\nGvOPxrzKyHnqsa4N1PlEzueCr8fqPJLGSNoNHAeeAl4ETpjZq/ElR4A3ptLnOE696dSC+2Ytxqi0\nCt5Z6SDt/tB2p0elBvwcT2s/zTNwxm/kVhDed3EaMbNX47TjDOBa4OrEkpw64CNfTouc7YLRPknT\nzaxP0uXA32L+UeDNpdfNiHlHgfc35P+m2T9f/40vnKWs/Oh+entqCR3jXClL9++2pZbQMc6lsuSI\nmf1T0m+BdwNTJY2Jo19F3eZ0jKFunmpyw71nT2oFTk1otfMlBo5ibQVWEhagrgR+Ucr/DLBJ0nWE\nYfo+SduAe+Mi+zHAQsKi/TMwMx+HcBwnGZIuBV4xs5OSLiDUV+sIN4y3ApuAFfTXewPwOsxxnOHQ\ncFN4kh4jjFpdAvQBa4GfA08QRrkOAR+LC+mR9ABhMf2/gTvMbFfMXwmsIdzC3GNmD3e+OI7jOCND\n0jWEBfVj4rHJzO6VNAfYCEwDdgO3m9kr6ZQ6jlNXhu18OY7jOI7jOJ0jK4d7SYskPR9NDO9OrWco\nJM2QtFPSs9GI8XMxv20D2lyIO7x2SdoaHw9qKilpgqSNsSy/lzQzrfKBSJoi6QlJ+2J8FtQxLpLu\nkvRnSXslPRq/91rEJDdz5tFG0tcl7YnGrL+Oa2GL57I6vyR9K14bPZK2SLqo9NzqqHWfpJsT6/xo\nPP9PS5rf8Fw2OqOebNuudq/FRBrbbk8Tau2MCXPhPJ76IHQEDwKzgPFAD3B1al1D6L0cmBfTk4H9\nhB1R9wFfivl3A+tiejHwZEwvALpSl2GQMt0F/BjYGh9vAm6N6QeBO2P608B3Y/rjwMbU2hvK8SPC\nlDeEdY1T6hYXgo3BS8CEUixW1CUmwHsIBqV7S3ltxYAwvfdijN/UIp06Nk3KO7mU/izwYEwvye38\nAm4CxsT0OuCbMf12wnTqOGB2rI+VUOdVwBUEI+/5pfy3ZaYz67arnWsxoca22tPUB3Bh/DsW6IrX\n9qB1c7Mjp5Gva4EDZnbIwjqKjfSbt2aHmR03s56Y/hewj7ADql0D2iyQNIPQUPyglP0BBppKLovp\nchk3AzdWobEV4l38e81sA4CZ/c/MTlLPuIwFJsU7qAuAY5xp9JllTOw8M2eOdUDBJKDwA1tKZueX\nme2wfr+yLkK9BUHrxnjN/AU4QKiXk2Bm+83sAGdaFt1CRjrJvO1q8VpcRkLaaE+T6iywDpgw59T5\nambQmj2SZhPuLLqA6daaAW3lRrPD8G3gi8Q93ZIuAV62gaaShd7XymJmp4ETki6uVm5T5gB/l7Qh\nTqF+X9KF1CwuZnYMuB84TNB0EtjFmUafdYhJQe3MmdtB0j2SDgOfIPycGuRfhk8Cv4zp3LUW5Kaz\njm1X47V4WWI9rzFMe5qFTnXAhDmnzlctkTSZMNLw+dhjb9zBkP2OBkkfAvrinUf5LrPVLfM5ba0f\nB8wHvmNm8wm7bldRs7hImkq465tFuIgn0d6oT04xaUal5swjRdJTcf1dcTwT/34YwMy+YmYzgUcJ\nU4/Zao2vWUOw1Hg8Z51OJWRRH9alPbUOmDCfrcnqaHAUKC8Szt7EME4HbQYeMbPC86ddA9ocuB5Y\nKmkJYXrr9cB6whTJYKaSRVmOSRoLXGRm/0igezCOAL1m9qf4eAuh81W3uNwEvFR8r5J+RohTM6PP\nnGNSMKrmzKONmS1s8aWPAU8CXyPR+TWcVgXrnyWEpQUFlWtt4zstk9s1W7u2i+bXYjLabE+zwEZg\nwpzTyNcfgbmSZkmaANxGMG3NmR8Cz5nZ+lJeYUALZxrQLgdQyYC2GplDY2ZfNrOZZvYWwve+08xu\np99UEgaaSm6Nj4nP76xS71DE77RX0pUx60bgWeoXl8PAdZJeJ0n0l6NOMWlmzgytxWAbsFBh9+o0\ngtlplpb+kuaWHi4Dno/p7M4vSYsISwyWmtmp0lNbgdsUds7OAeYCf0ihcRAaz6OcdNah7RrqWmxq\nGFwxw7WnWeiUdGmx61L9JszP0bxuHpzUuwbKB2FaZT9hAeWq1HqG0Xo9cJqws2U3YT3OIuBiYEcs\nx3Zgauk9DxB2xeyhtHsnpwN4H/27HecA3cALhJ0c42P+ROAnMU5dwOzUuhvK8A5ChdgD/JSwW652\ncSEYGu8D9hIWcI6vS0wIoz/HgFOEjuQdhN2LbcWAUPEeiOVdnjomQ5R3c4xTT6x035Dr+RW/z0Ox\nztpF3CUbn1sdte4Dbk6scxlhLdV/gb8Cv8pRZ9STbdvV7rWYSGPb7WlCrddEfT3xml8T8wetm5sd\nbrLqOI7jOI5TITlNOzqO4ziO45zzeOfLcRzHcRynQrzz5TiO4ziOUyHe+XIcx3Ecx6kQ73w5juM4\njuNUiHe+HMdxHMdxKsQ7X47jOI7jOBXinS/HcRzHcZwK+T9kus3O1JWj+AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fc5c6e42d10>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ta = 0.3\n",
"tb = 1.0 / N\n",
"plotit(ta, tb);\n",
"suptitle(\"With perspective distortion\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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cp+KOQns7Kg7EgyZfV/3Sfdlo1lxKqf5927oK4ZohcjVpmj6fBo/G55u0RFxq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\nqnEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fc5cc342690>"
]
}
],
"prompt_number": 32
}
],
"metadata": {}
}
]
}
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