{ "metadata": { "name": "", "signature": "sha256:0949b56d86184ea845b728c48caf9a667e59e3dcc06b29688f24f205ffec12bb" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Question on signal detection here http://stats.stackexchange.com/questions/135262/statistical-criteria-for-signal-registration" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pylab as plt\n", "from scipy import ndimage\n", "import pandas as pd\n", "\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "data = np.genfromtxt('data/signal.csv', delimiter=',')\n", "\n", "X1 = data[0:13]\n", "X2 = data[13:26]\n", "X3 = data[26:39]\n", "X4 = data[39:52]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8, 3))\n", "plt.imshow(np.hstack([X1, X2, X3, X4]), interpolation='none')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "th = 0.2\n", "plt.figure(figsize=(8, 3))\n", "plt.imshow(np.hstack([X1, X2, X3, X4]) >= th, interpolation='none')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can convert these images into a $(x,y)$ data set, and then find the principal direction. To do this, we first pivot the matrix, and then filter out all values that are below the threshold" ] }, { "cell_type": "code", "collapsed": false, "input": [ "img = X4\n", "\n", "df = pd.DataFrame(img)\n", "stacked = pd.DataFrame(df.stack())\n", "stacked.reset_index(inplace=True)\n", "stacked.columns = ('y', 'x', 'v')\n", "filtered = stacked[stacked.v >= th]\n", "X = filtered[['x', 'y']].values\n", "X_cent = X - X.mean(axis=0)\n", "\n", "plt.scatter(X_cent[:, 0], X_cent[:, 1], c='white')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uAEiG4gaAZChuAEjmf4WCnPl2IqEeAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "After pivoting, filtering and centering, we can do PCA and find the principal direction" ] }, { "cell_type": "code", "collapsed": false, "input": [ "_, _, V = np.linalg.svd(X_cent)\n", "v = V[0, :]\n", "\n", "plt.scatter(X_cent[:, 0], X_cent[:, 1], c='white')\n", "plt.quiver(v[0], v[1], angles='xy', scale_units='xy', scale=0.2)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(1, 2, 1)\n", "\n", "plt.title('original')\n", "plt.imshow(img)\n", "plt.quiver([6], [6], v[0], v[1],\n", " angles='xy',scale_units='xy',scale=0.4)\n", "\n", "plt.subplot(1, 2, 2)\n", "deg = 180 * np.arccos(v[0]) / np.pi\n", "X_rot = ndimage.rotate(img, deg, reshape=False)\n", "\n", "plt.title('rotated by %d C' % deg)\n", "plt.imshow(X_rot)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EdaQlzEkhfWBXACSereoQZ1ADznqG1Ay02O3KszumKYGfzdxqe2CvAXoL2ud81qdgbbWH\n9ZZ1vQXSvu8S/5//Xzu+Qvr5yF0s4i1I32VScs3fjQvbJpeA2uoe1r0h0us0cPw78b8NuP5T8vLq\n7HPwYa8IGawxR4SMJJA2y/qGBNhRiwE+cHesJep1DwzsCRh4jjTZ8wz5pm8e2CoGafuO/flNKday\n+62VrUnIU8d3gTV3/2cK7WHpgbul3D2svWwNIf01e1D79tq1rxB/evKkkD4H7XOP+9eBjT5rXwpq\na/eGg7emfRs4/n30fT201+TV0MkXYGFjCdlIwnXzWe8gwH4A2fUw+XMxgzr2/Vr2er29/m/i+Tyb\nVzHpudXzs9fLZkVvpWU9Be7+4ltAvxTWWy+2BzVwrOxroN4C6iV+v7W+K6CfjaxZuH3/04T4KbgD\ny9fR963pR9/e6vOQ7us1a9z/Xw/pU9DuR4hrr/XlkWcM7BPS9IdnN0d0Jc2FIrt+Bvnzojs2t8nR\nNUhcIxYuOEKOdwAfIDsrTnIOT3p8IO0H2Nq2ShLhtM6YsCpY830HLOK5/UIcdsBmXm8vjleAz+du\nCls3hHMFrt0PLc+5TXqwr0H9Kuvug77/EmvYH6/Nyp9q9/U5aG+9xq6PSHXT5BysgfMuxHN9fbt3\nGXJ37M8H1uHu5cXo7jMG9pk3ZXHVPmzPfNYKXYos0FY/NCUGJbS2PUbmo4603P9gDdCtCIh5InAD\nNgETgScGDgSeANJzUCAQXuQjsRLQJiwb66zfAdnazCv9DsiLNtb7FzeDijl+vB4/dgTseof21hAU\nOK/Ya7Jl1fSPvzPIOfD59n2sYV/W+s4Bequve4105rUTsApo9v1rxsElkD41gl3rX4O1H5n2lrqX\nF2uRvxhgr47UyOkQz64PA3IrFTTMx0g8HyvcF5CeFNIKZLGetX8CMAWwgpmn0OBNE+njNFvdtmKy\n5SMhSE4SVj1g9zj0sTpDuzowVwdt329wPior/atWdgdwXlPcU5ZJcH3nhqCmzPYleou814MtOPvr\nmbyzuFG2XAhr9X0s57uUS63vFZfI4qvdgrhKb2nTRv9ZKG8B+tKypufo2vaYf139sX/fz15nnzGw\n1ywvu+PqGyRtNyvbuUe0brAeKmioCMMM7jAowIc6A3uCuJlHB9vJ9TsIe0jXibUdmqUtsdsK9wKF\ntNaL3CT94xAQt3wlQY8N0K5twG7Qd5Bu57rj5h5xVrWBeRPS54o/136Qa5aHfa+ha59T1jVo99bK\n8/8BvDzSQXD1+C6Wcl/iBf13uSF4yxndcfc9e5fIFqDb1+117BIruS9bE/5r/WuW4xqzThkhz1dH\nn7+FfaSHBAmzo06XWF0jrO4Pg7UCe6wK64pg7VTFup4I7Fc8TiRpstsxgCzn8BRQG6AZnAN4AqrC\nmjWem+z/W24SmpfBr0b1kS55N2jznMPEIF15XhZv0SkN4Nom7SftB7BclbliYftEVQuArymt7zun\nwP77tPPv4hLxgPYA7/vfmWTtM9/qv6vV3EO6D6vq26duCisW9iqsN44tGqt91d3xkbvkEjifs5xL\n198vbus/cy98wWPPH9ovzoe9qoeERXx1BMgs7IERBkYYGWEoAunR6ioAT7UFcTS4ZoV1yyniHs+E\nOgVQFmjTBNQM1AkIU0CdGJS5QRse2NlgXV3bnsM9VngGd0tMxV0/qy4ZyDHXRa2PBmngaOLRltB7\nWB8lrPIK7OvQHa8pqH1ha2Duh42XSA9rr/Rb7XcGWYP0OVifs5y36q2+S8HdW9GY+xagducw1sF9\n9HXf191R9L2YPgcs9Z2w1PMtfWfMo8Yt3X4x0H4BwHYfQvvu9Q7coA2nSzz7sYcKMljvCsJYEHcO\n3kOd9xso5NpQiPZtAk0BNEVQZtQJuoRdwE0TgSYW69rcKXoDmOugNWtfVaCzJprirui5a/0ty6Cr\ngVnJbQIyQAG+YVmvwtoPAUyRDdamyKbE9uWsWdq88thdgd3rwilov6PLOUj3wN6yktceW4t97fu2\ngH/Kwg7d6187dLA++op54yv2HVuujUtg3ev3lp57fV97Hc5IWjx2ibHxbORewCaitwD4CgC/FPIK\nv5iZv+j4zI0X33RSQU3ApZOOYTDLWmAddwXB6rEIiM2PbG3bSMa3CwmwcwQ5UCNDJh0zgaYKyiTL\n2psrBc2lMh8H/X+F9sQKbC0e0vlEO7DTK54/p+I+R/NtWwbB3o/tYX0E7j5G3MOhV9xTlsWF3/NJ\nWYP1iwf15br91J/Zld6Stfqc1XwKylt9vn/Nkt/qc/ph1rUHNLr25n15Dd7nLOwt157B2QPbw9oD\n+xSsrfjvpHfZeGg/P7mvhT0B+Cxm/v+I6E0AvouIvuk40fslLhEFdQM34BfHkIb22QRjGBlhrIhj\nFWDfZIW21KjUGMUtWoMct2iOpCsBpYE2qtuDwJkatJFZgQ6dhERXFNBWDgr+Bm1s1xZfPunoIvOs\nY9l9fk2HeNZln/L17OSjlYzjH93KD3BTzLz3x3aNNXfJJdd76aB9oW4/DfE069tbsNyymk+1Ly1r\nz7f1Ovr3sPH21ozRs9Y1cHryMK709a+vN0hOQdqe/1Q593qfj97ed8eZnwbw09p+g4i+D8CbAXRK\nvfYjpmPd7C3shb6xhO5Z+J5NMjrLOt5kBbdswCtAJnX10hwB1/VxCQ6iYlmLf9ugHUAesBYSaAtp\nDqSApjl3yQQHbXTWOTurnN1cj55D7tg+H2AeRtr7CMBRWJ8HNerx402pDdoeCv7J2hOuiB8q2v/f\nBdr+uud+yS8G3Jfr9tOSNVj3bpBTbo67ADqdefwcpFeA3atPq1cs7vYV8/FXvvi6ve6emyjvR47e\nKNkaGfQGCuv7t3azirrzTsnz0dUn9mHr3nf/OoDvOH505U2sfcFnoC179rqIkOYSyQ3W6cEkFjYA\n1oUtjK5meUKraw3L/NmTgJpyBeUAyjLp2KziA82QPpAsfz86xpx0qq2ihCyRn/R9TXA65EYWa/rh\nLWs/2msW9ga4V5Xcm++bT7b+vbXH+9pf5xy0+x/JGrRfHjmt20/92Vw5Bcq7WM49oNOJ9rnn7CC+\nFmO9NWDw9UWDKdPpS1IZ27EH9dpIcu3Frelz6Open1+sjj4RsHXI+NcBfCYzv3F8xpk314N6ZeKx\nuUQSIyQN6zN3iJZk0L7JAuf27HSyrixQtkUxnAnRrOscwLmi5oqQK2oOmlgKM5itvSc5Ht2xrbJU\nq5zNOk903qhZMwD8jT/ATTr2lvRG4YJjBd6yHryV2/f5FxRc22QL2h7Qa339c77YH8Z53X5qz9SV\n3l11DtJbVnNaebzv8/UKoOmMhb3FwbX22sBp7Z7dDsz4WEtZ3LfXQO2NkjVwe/H67IFdV87f+v/n\nI/cGNhENAL4awF9k5q9ZP+vzXfs3APhwzMu1CbKvIrmoizC7FA4Q8Kk+cQJ40NhpDdNj9UebxSx/\nGaQf4LmaQShIKBRRKGmJqCGhhIQSIkpMKJxQEMUiN9eKXECu1n5bBLbfViLwoG6W0VZSUlu0s9r2\ni3ryyrG5bCZyi3bYcZvm4ldiVuiHFACOaMON9sNRRV7U/STOml/Q+wPtRfhfY3+XWbNYelkDOwD8\nMIAfOfO/T0cu0+1vde23amlX6K+49iw49v/5+sg3uCx0Athks/XduZTmY9Jrt9pDmtSC9nX3VrYM\n163jfvDGFxTA6WRQHdZ2uwbPbfg2jvUaQf+3B/oayPsXY/pNWOr6XXV7TX4El+r2faNECMCXAvhH\nzPyF22f+we5YPyQOmBeTBB3RBNkNxjYgMCvV66JZrCNaaJ58bgRzfQRUEPiiGgAKEipFVIooIaKG\niMIRNWoNKQURPARdFS5fMANgze3NgcARYN1MWGAdwJlQp9knXhW8nMN6f+uj9v9Y9JGsvLT3XzHD\nuzDmFZj6udYqnzEzUCOO8534z1D/r8G5H2qeUnAzncwq8da/t7p925tb5+S9tJi87cL/u5tcrtsf\nsXWFC2vgXhOHPvMZdbD2x9SVYO3Q9SukWyFXW0HX7t7OWukf88zrGbj22KKPnKG3cS6zGCM+vw/8\n/3lYn7O4vdgTbOk3XP+p0aV9IH0fcHzD39bt+1rYvwHApwD4B0T03dr3R5j5G5en5eP/9EmSLAa5\n+ZAV1j6XdRTrGgPNE3a2AEYjQWaIigRUBMXsqZrAqBTAFFEpCLhDQOWIygE1BgV2ACPKf3AQG560\nNFgTOGkZbKl7QM13KA3Sc7s26AddeYk5pLDFlLNbzIP5ZtY2I2bMi3Kis8axtMQRACqq2B7WfqJy\nyxoxJbba+n3tQX0K1r2V/VzdIxfq9ilZo9Za+44Th2uw7q1nrEA6BGmHMPdbHwW0TbGJVmoF9ZrL\n7tICLEHbe/KOHjOd1MK8MnoMK/9PkKE35vPMOLTPlk2vez32L9Rqf+c4pd8e1gFLffW6/OR6fN8o\nkb+L5sg6JSvAtmFJjW6C12BMGhoHmaTrM+4ZsHUBDFsypjYSomY9RxQk5JN1QJWzKYApoIYgQGZS\nSIfF4wzrJ1QicAjgQKgxgCOhJgKnAB4U1iWg5IiSA2qJ0i4BdVHr4zkqtAPqFLUOID2GrsAkt1x+\nsdmwW9XZNhz27eIUfDFn46yO6iyt5vM+pdzAulL7x4BZkX37nPJuuUaerVyu22uy9jmdKqcmDE+5\nPLxrYwPcDcoBiFttB/IY0HaCogBZbWygdu1+S75LSz+twit9q3PlBmrMI8eKeXHZojgjhKqeW+T9\nVYO13Ri3YL0G7P6NwJ1jsubv7mHtjZRTBsu2POOVjlvAjssP2oDTEi4ptCPAXXrU5tvtMueZhW0+\nbIP2gAkJGQm5ta2OKAJitZZhEOb5KmZNg0itcDm/BgV8CKhRoF1zAA/i3qg5KIwjcknS1uKPc44o\nelyniDIF1KmiTFFWYE485+W2lZcTmn97ETZoEJ+gLiYWN1MIzuqGejxISlM0GzJGrC+sWTOZeqU+\nNaNuz3MXCK8NJV8F8Z/VFtnWrOkLojq8f7pve3iHqBBWGJ8qQQHtoR19rS/B7/J0ibXtHz+3cHE1\nUo/m0aMfOdYASfsQZj32FnitmFMNh/mYzApe06c1f4x3e6yJ++0s+tauTTiG9t3l+QOb4/IzaRY2\niSvEFp/YZgQGa7Ww5wRM8v8t06gTb2EnZIw4YMB0VEe/DJts8lA0TFxg2q93blZgF7XGa9SSxJqu\najVbOyucc0nINR23a0IsCbkUlBpRDglhiihTBU0VZWJgim6CcvZhz2liaRk+6NsR+iPkecVlGxHK\ne2tKzVWsEPJLfPtfXfsSXe2tEi9rADc5Nznzqssasdbaa3A+VyuYqWtTB26zopODcVJAJ39M7pxz\nBTOwt97aVt9awMda4IfVWWHt8v/A1k2UOqd9sMVmLRmb6XXA4g7ArJ9XVcNkywg4co5332lvuABL\nY+TUdZ8c2s8Y2BtLP/0NrJAO30l82Lb6z5TCtg2zzQXUBbBwiZgfW10iBNZpQrGwB0zYYY8Rh0Wd\nkNtnTG3ELhYFAUcKaG6TEtTFUQNqUvdGkSiSUgTYpQTkOmCqaa6L1FMdWt9UBkTtC1NFOCRZEu8s\na9lIwfKe6E1tgov7hsaDQ9xH1mebF5PeABusAxYrIy3UJii02y/HK+ApYPe+aQ/rfkh5VyvbP9+r\nIP7z6ukVVto9lPv2BeCmDXA3UJOW0NVdO/oay+PWpy/h1P3oFLBL1+6PrW0uUr9OohXlRFa9Nrjb\nhGlxPhfLOU+sOs9Y93h5Xe6tbP999v/TH9t53PX59itlYYf58yikQxsDdtVhGs/ve8Riu67Zj72E\ntX0o5g4JqM39MeKAEQfc4BY3uMUOewE3TQCzTn6z3pgZZH2az4MCS3bTQKg1arhfRKkK6RrnUua+\nqQ6YeMChDtoecagDkh5HHhFqQagDqFZktaxxGGQ5vIN1UFcJHSSrYIPynjT2m6Xdfs8Ga5qBPZn1\nYYoTZoWuXqF5/bvbHDZuDTPtf/rjuwL7VZNTsPalt7DXIN31HYHZATq4vhBml4ZZ0YMCeKBl29dt\nY2zXbi+F5pey5hY51densTlVfBpk7+bzKSJshymC6neddd3mSBa63bvvTNaMD6vNeAHWdbaH8pYx\n0kP7/vKCqlyNAAAgAElEQVQCfNgRi1lgS0Waw5xAyaxCgrOusbCuJbETlsvPVcwlYm4Rs6h32Ddo\nP8BjjJhAVJtVHgzWWgItjzmQQFlhXTghG6j5uD7UEQceMfCIqQ448ITE0hdrQeAK4grS3WdoYlBb\n3o4WaRIOQa1vRvFuj1vMk7LDBqxNWcg+U+tTWFv0SPvMK05DdQvYW+cG17Zf8F2U9lUD/NpoYg3W\naz5sb0EP2Ia4911rHTqIe2B7AI8O2APNumNtO2/YqrEO7K3a2v2+1flM29x9NsFub3tS3Q4GZ3R6\nbaCGnMeq2wtoe3iu6XLVN3lKt+3//XVC1792rpe7W9svwMLmDthBXCKhypdjoDZpw35yYX2Yfd8G\nbcWud4mYhW1WtoHayg57scbJ4j+kHVjaxBWB1WLnCuaAzBGZk4CZE/KJ+sB6q+ARB94h8YTIGREZ\ngQsCF1BzSUDcHW1VpIYGHoJCO4qr5MDzpOxIwMjArf7YIs++xqbQ/Z3dFJpVH1mGkwEz1AEcz6Tb\nNbwFck6pvUIbqD20z/myX0VY+/YWtCOWwO6h3MNaj6kD9ZrFHRzA7eYdoVY0BLyjq0d37G/+vSHQ\nP7bm3TkFbm85l43at33Kh4N9NGZZ02xZt4/aoAk0t6sZJP7chVvi1IjRLOy48V37/wuufRd9vbu1\n/QIsbAV2i6U0l4hCewENHOXksAgRdnHYxiAT7xLxFrZZ16/hEV7DI9zgFoEExpEqAmmcNleEFrNd\nFeAFjIDMEl+SISsgM9Lcp8dF+/YYsecbDNhhjwmRd4iYgU0GP3vxtsJTgV0N2IeIOhXQIakVDrcL\nvA1TVZEXc4TkGOs+IJ/1r/I8x2hDTAA4skJ82yu3/fMpq6JXbLu2TQytydMbRj5/IVevWdU9rLfc\nIkPX9tEi6QSs1cI2YC+AixnSOyi0tc8istbqBnrt24L0VnvVF41jYJv7o9ftg+r2Qsd5qRp+QZjp\ndnsdp3R7DdbmTF8D9hrst1wiT1d3XwCwgXmlY1ALO6L5WRuw9cM3C9uWcNvWXprPWpanW/y0DElE\nR1ihrZY2TRh18tHg/QCPWzy2uVAM1tIuAmxtM0hvAVqoq7syYKetCQkTIuX2PHZDCCTgJsiOOXEQ\n10cYJHyP7Ac2QTcLJvAhiCXuLagICT9UZWaXnEcGIGFWXFMqr6c+RLVx1J/A7qRoT46lFeKVdQv0\nvVKvWSSvgmW9NnG1BuRTxwpj8nA2a7o/1hKSWM8hunZXUxKf9QhgxyCDs5WRQa1tdZXzDMitzcAA\necz3+3vQOVgTjiBtOz4tgD25x/x8TIKsIPYfLwFM4dj9YsUsbFO7Raps02s/y5nmmvu+NVmDttd5\nky39vp88/yiRtlQ0Yt7L0KzsFZeIC2cTn+68S0zN4vctmlGPMks+ELWxbbGLbAIKAAwijdEm8SEH\nrgLmqoCuy+NQBeKxCrDB5Aa5rC4TWQcZ1TpPKMgo4l4hRiR9jCoSFQw0yQ2EJox0wI4OONCIw7TD\nIe9wKKP4v+sOB+zEoUM7HKL2DSMyBtQS2k2r2oIfiyuPbkFPJIG++bx1Aon7EC35iJZeDkuUYt+b\nwZpMsc0nZePeNfFWjP9FoXviV0nGlb4tv/RGP6Vl8WCm4bg/Rsxx075NOIqbTgDtGDTyXLs2+scG\nBfsgbQzQPtd2/avA7mpyx/KTl9fHEeC0NL6QpY81xJdjt3rYryLWGoMYMXOklCt+Lmcx6oS4YgEs\n85SYbgcxbswg4eT+0YQxGym9ld6PGtfcf6dGlqflBYT1kXwYXCSErFYNyektbMj71B3L593MAzgL\nrMsUMeezJgW25AWpmBe5wFxepGsXaV66HquWoqUWxFKXfdoPJpmMVFBniI87oqJwRERF4oKCiMwZ\nMVQEqoihIoWCIailH0bswgGHcMCe9jiEUYrBuhi0dzjwDnsaMQUB9p53ONAOmQaUGjTfSdD3HTQf\nSkCJETUGlBSBIaDehnlIbAxYWCuA5WRpRodP1GU3WS5aqzuEE47ha3JKmXtQ9xB/2QG+W+nbArYB\negXY3o1BzkJe648RSHGG9SKumpYeE9uoerTa9j7leQ9U//hgW/DNuedbnz/WrfpORYR4UFtdg46I\nDcQlyMpgzZIpI2bNqTMQagrgpGscEsmCtCGg7nVx2iGgjgTswwztPY6nA5yON2m6TU63g9NxD+s1\nsPqRY8Sxy+8SSNvx3UaSLwbY8LCukFVIne9aJ8baBJxNwrVY5KibC6BZ4VAL25I5cSC3itH0ylZB\n1tntUQpiLkhZ6pgV2nnZz1X/n+eJycK1JYlKXGQyEhIlkkJFDAUpFgxhwhAnjGHCIR4whRGHuMch\njpjCIMBWq3pfdxphIhb2ntTCDiMOaYd92GEKA0qd/eeFEjJF5JBQYkJOETklsUJGHdK6SBJeKDLJ\nIKRNCGNePWZzDebGspERV6AqrPkcsD2svanT+6lfJWivWdinIJ1WHvMThGuujq5fb75IUeOnwzKW\n2ofmqSXsN6uObvPqOFS3iXVBtHzzqSIkBiVtD5LWuB1rmuM239G7I8yy7koNAbVIDnpuC81IR4lz\nuxbJpVNSRE1aDwF1iCiDtMshqiUdUFpKYxzD2nzeftRujF3ottdx/XFUhTV7RPYuPoP1FqjXjtes\n78vlBblELCavqlvEwO0sMnuf5rdtRXYzhy7Rnv1eYmHXEJu1yRwWfl0KGg1Cs1/aLOmUC+IkJU1z\n2x+jkMLarOqKyhVFQV1ZLV6OKByQosI6FUxxwhgnTOmAKQ5zSQOmmDDFQaxpFqv6wGpN84g9djiE\nHQ40Yh/08ThiYllkP9GATAOmoNdKAygNM6x3BBoJSKzDUuUIQdw8OhFMFXNuHNOtttxXh4pVrUhb\n7tt2cG9fsCt+3Oxhbb+eNVi/7KA22bKwHZipB3XX9kvIo7VXygLWQepBj4ewEqaH5toQ67kiDhlx\nLEhDQRgy0lgQh4I4ZgH5UBCjQbkiRIH4cbsipNKysM6FW3sV2G5RmbQDap1XBZfqFp/liJIiypBQ\nFNR5SKChooypRY2xRZLYhOkRrNEMkgVTfFqLI91WaJPBek0X13Tc2hWnQX1/dwjwwlwiSgb70RcP\navfBViz2ThR3CMtmAm7yQjYcKOISCQlV06Qyq48P1D7D5nc2v3KtzcKOU0E6FEQtaa+1HqMAgQMC\nM2oNiFxRG6yLZPhr0A7IsSCljJQmDGlAThNySphSQk6Da8vxfhExrm2SciAB904ftxjvA0YcSKz0\nGEeEOII0cVYdCWUk0CHKjzmSuOfcEJEYkoelsijvYvae5lh5W0Um5olYIYtQKS9rrhD/C+rh/KrB\nGjhrYbfseRvx0wZ0nzkvKbiP6jiDenT1URuLSA7bBzUOAuc0ZKQxIw0ZcZA6DRPSUBBTRowFIVbE\nVBDjXNb62pxrgzQfQdqXUtRF5xaYLRaeleXis5wSykF/G8Mw+9AnSOriUdwidAD4sPzoj3zWgBs5\nqk/7SLcJs24rlxYT7lulHz1uwfnpQPsFADvMFnZLyuJiexcxwmjRITbhiCkgTEBt1jW1PRiRSXy4\nUWBdg046wiYKGRRml0hgc4lUxFzFot4rqPcF6dYd3xageFCLpSCQLq6tpRJKSshDxDgk5HRAGRLy\nIH1F6zykdt4M5x32YZRjOGCTuEP2ZL5tOb6NOxzSiBALKFXwwOARqBOhTAF0qKAx6Nwhg9RFJJOo\nrPv10jK8yjK0FQV1UeC2yRn9no5ccKbEVuuP4OhXdArSrwK4z1nYCUewpq7PMiNagqaFq6MrQxRL\nchc0LC/M7R1pn7XFBdY2rk6lwXkYxICQttYpI6WMGHNz4cUoAE9hvU3ezbCwqrn1LYBdo7jw2qrg\n9XauSVYJpwF5GHXBmPjWbdUzj4Q6xXmR2R5LWPeq5g1A2zCl6TZ1um1+bD/it4usgTriGNxhpQ8n\n2pfLC3CJ6AtlzZFazbJWWLf3zLKa8UCglvRI8kHXCbqjuebY0O28kEl3iJG7ectdDYhSsfmgFdY6\n6Ziq+qonta5vFdaPC9JtRnosfZSBWiu4BlSmrhZIs6tLmlBGGdKVMS7bfV+NAuOwwz7KYpt2HMR/\nbXDeBwH5EG6Qwo3+iDIoic/fsgXmKSLkhDBV1NsKJgIFTWwFta4N1BUSaTOpxQKo4nvr2sG6t2AW\nily79tH4Wf/HQ3sN4C8zuE8Amzywe1h3wG4rEg3a5uLw7g893hFwo/VO4d3aBNyQhu6RhOkNsy86\nDjraGyYM6YBhOGBME4bhgCFNSHFCCllKzEihzMdB9Msfk3eDwAEbOIY2oKuCdc5FAZ27Pjtnqgkx\nFUyaqoGGOgcfjDKPZQnSMCnIPazN+u/52pJQktPt4HQ7zCPHRZqGLct6bQS5BuUtUB/9iM7KEwGb\niCKA7wTwdmb++OMzTljY1Q05DNa2RNpPaGj8MTRLnUw6EmiqDdY0yZ6LnAmFE2qUSUCBtY3ZZNgW\nmGUFIzR8z006mvsj7RXWjzPSo9IKJpbUqxb7XUmB7ePBSYBdSSZLdhFlDKhjQN0F1DGi7PQ4L/16\nt8lgrTV2uA1mZY/Yxx12cYd92uGWbjCECTFmhFxBqUjO7FGAXXJALgkhF1CuEntLMjIkmydkyH4F\nRWtb9j52v0JSi8E2nwhx1lXvIzyCdq/Iay6Rlw/Q5/Ua2HaJ9Ba2C81bhOeYhU1YJmlyPulR22ZR\n3xiUaW6vFnl5DdapiAskZQzpgDEdtN5jtON4wBAyEgm4h5CRwoSBsh5PSKR1yGJhA/r987wnbwdt\n6594QGZNfMYJEydkHqSurs2SaycOBUGToJEuT7cNQcoU3WOY48J7q3oN1rY0pN8CzaJEgkLbVkge\nXWxt5Njr9pqFvQXyu+n7k1rYnwngHwF4l/WHTwAbdY42CApsUmhTB+xFEhgCZwbpJKPsaq6b6RZC\naRHREottsG6Tjn3cdC0IZQltcYcorB8WpIfSpgM7OC8L1K3QCmt40i6g3oRmGdSd7iCTdUacqblR\nbupOoK0+7Nuww453uKXZ8r5NO4zDDkM4iFVdJOwKhVGLgTpiKgmxTAhllHMG2ayBMI/22G960CeU\n4sU4F/PuHViJSDLQGqija9uKhd7C7uF87vi5yhm9Bk4D+xSsfZuwyD8daY70GLtikH4Ara244xvo\nMYAd5o2rU0FMRSznlDGkCWM6YJf22MW9gDscJJKJFMw0teNW3DG5iC7fni3uZd/Ew3ZBwsQDkh7H\nOoJSbVsC2o5LZZIJyTgVMVIsa+UAp4sqCzcIlqso5QVi1m2FddW5hMp6U92yrE8ZJL0FDaxD+26W\ntcm9gU1EvwLAx0B22v3s9bNOuERaQmuDtQ4x2jBLaj5AXSLQiUfWY5awPk3gL+CmecNcRDBk8QwC\ntVEOhXmpeYAsjEkW1qfWtblBBNgZ6Y2C9IYAW7w5M6CP6mLghmy+e0PgvdZ+z8biwM5iqe95h1u+\nEUDTiJu4w61NNAaxtndph9thhzHuEUqRxFGVwQUoVZJTTSXKsLKOiHoOjaJszEF91uJW4qwbIlhe\n7T2EReZHsjtnPxlMmN0lC4uiqlp5WK85Fu8C7+cnl+k1sO4S6V0ffgXjGrwN2MCcpAlztMdIs4tj\np3B+DQLnRd31PYAsiFFgx1hlsjBlDFFcImPcK7BvsUu32NEBAx0w0oSBNG88HXSB1/ExwQMbWHxf\nZN/y3DdhxIEHHGDRTXI81wMOPMpxlQACcnNUVWFdpoyc0wzszOvA9lz1wD74l2W6XTHvgqWw9qp6\nBOq14nX8FKB7iN9NnsTC/vMA/ksA77p9yhkLm90bpv5OBnlvDdZw0SLuuK1yhLpEZgubKcwWMAEI\ntjLRViXqKkYf1qc+7HhbZgv7FwvSL2aEA7csgYvwIP92CtC2KhoBfoCWwKbtx1jsIyBYtBFAuMUO\nt7gVN0jc4baKhb3Tychds7BvMKaDpH+tjKpumMwyaXOoovypZoSaJcHUKCliUSu4BHGB2KIjy4q2\np3n5cdOlFeu66aZp9ZoC+2n7tT0heyCfeuy5ygV6DWwCewHkjSRO9pgfQVvODztthIJan+oGAuRW\naHn8evf4DUCRQVHD8mIWP3UU98eosL6Jt9jFx9jRXlbd4oBB0xHv6KCbfRwfh+532gO6Pz60JMcu\nukkjoQZ9hsQZB2QEzvq7NjcIyc5NOSHrmoiQq46wMQN7zRD2y95tA292utZ029yx0YUDmqxZ11sG\nSQ/rrXr+lO4i9wI2EX0cgH/CzN9NRB+xfebfcO331+L81n6Cil3bF+d7arvNLPLlBvVzQ6CYdFk6\nbHm6LZ4JC4vWdj5vT6XPY0pAB5boij0j7CvCnhFuq1imDbjHNdxjyFh8ty0gxkHeH5fCqIV1AUsF\n6wkUKkIoCEndN1Uy/RXI7jcFkqM7c8JECYc44MADRh61HOQ974KUmwDeB/ANS70D6i4AOwZrlAGq\nc4lYdsWkdQmzdd2g3U/Tr/mu12aFLoX0DwL4oTPnPJlcrtcAwpe6f/wQIHwIZt+0WdPDbFWvLT/f\nAXTDM5B3DLrxbV72v8ag1wE80Po1Br1mNQOvodVxl/EgPsZNeIybeCt1eKx9t7ixx7TsaI+RHVZZ\nyg4HDGxolb4jYOPYyu6BPZBkzRxIM2jShAFZjwd1uej2fTzB4rsA6Jxg0D1UZZenEhNylLA/APOW\nedm1vTvV5sJG/7KcbkeFduGl7bAwSHpXX8TS5bcF7d667usfgOj3ebmvhf1hAD6BiD4GolLvSkRf\nwcy/a3naJ3b/tuYT6u9cXTZzi59scZSYQ3MWvle1YnW5qe3LaPswliCB+par2jLuzfmuIfHVzKia\nSpU5iEXaXB0C46pQtrnT1u76bb7OdrOxCRjSyT65Qch7oAMwHYB8wyhTRZ0qkAsoZ4QSEUtAqgGj\nWeWFIOms5Cc2YcSkQ0r9KbQy0QAKDA5RtzWLqEkjaVJEHSJoYJmwHAm841mpWT/7ptikkQ3VuUOA\nbVCfmni0/7Un6t0kXt5bi8k34xnIhXoN4F0+4/i/j/JTB1fU/dFudOq2uJF8HnBt6tt2/IBBr1WE\nBwx6UBFuGHRTEXayQMbC+CgyUsy4oceyYQff4qbe4oYf44ZvsaNb3GSFOMnxDnsMPAmQ+xrH/ZbG\n2H9NC2ibroMBohaQEYgRg+TViaHqROYo4A4ZIx0w0g6xMGKdVxWTuUvN+xbn3/iUypxnZLMEGfGO\nNLv7GFjsBVlMt4HFqusGZg/oU6WHtG+vGSbvo8Xkb62cI3IvYDPz5wL4XAAgot8E4A+tKvXqi9sC\n9Rq0dShtH6xtwqkhfX4LLRxY/K8V8ya6tnFuCLICUq1QS4OakWBxJAHQcL+AWIOG79FyIKBQtlL6\n47x8jNB+m/P+AWqhk7pxaELbQWY6MMrEqFPVMMUCKgWhTki2s479RiphIgW0rXQkW/mYZKm6ZRKk\nhEAVNSTZfCFKJE1JCXVglIGBMYnPfRdAO7hsrCQHfrOJWEWxCTpEuAusvYVt+mDfgLXdcz9HuVyv\nAbw2HPeFgJb3o5Wg/WGeYLSPYFQQjwrdm4qw03wfu7qAcbiREh8UqW+K9hXEnS4vH2WCMaSKIWQF\n8S1ueI8da7vcYkd77NQBdyOxSA3EQ53m2rddX+IMQl2NDFmNFiHIKDEKrFOUkMEhZl2dO2EMA6Z4\n0DQNB1nQVjU5m4UP2L1OVYWT/MZjKajJ5R/RvCM8SL6ROgZZl7ALMlfT8GOwDmJZx+BsCn8zMuv6\nHLR7Q6S6PvtBPZnb72nFYW88+ylgV6xD26c8LDje8MCgzTO0zcLeo/mEvXVt+zAudorhGdh2F48c\nUXVRTIunNmh767kAOQuUi4K6FCC7dlH3ffsaWY3SCgQH6nAQ65pGIB/Eui65gnOR6JeaESohKrDF\nyJDFLpMtRw8C7BwU0GHQeoY2BVkFKrlGii7WYZTELt9xQB11iN5GNYzF7tW26CBALUf7Ti91hfQu\nEQ/qUxb2C5HtX9XrKz8dCssl5pZVz+Ks/S4wAaAdGpzDTpMx7QrCrgp8tW396aYg7jLiriDdLOs4\n5rZiMaWCFCfseH9UxsXxbesb64RUJww1I9WMoUxSV6lTscekhoXyta9KwXz0FUp/TIyYBNY5JU3Z\nkDHFjJwmTFFW+04pYarjnK9HU0G0r0PVaf59E0IpmmtEco603CNjlC31RqCMkHDgkTWHvmNKJd0n\nEkvutoYBOm60ex2vWNfn+4Pa5ImBzcxvA/C2O/4X1qHdwdoS4/sNDwotLWzbiUYTwJhlzUSS/CmQ\nuACKc4dwbBZ2QEWB3MkLV7WuPazJ5R6Yreei0M4FmLTOXQ2bx2AgFClUgDBpOQBhBGgPhAEoE1Az\no5aKmuXJSGEt87IakkhVtmgMAyZNHpVDkjwiQeJcc9TRhFrYRIwcJH9JjhU5csviOcO6yvD84L+a\nDtYRCp+q3DXg3sfCNj3oIf3iYX1Wr1ctbHI5QIKrwzKjnhXLlLeriGMRK3lXNtvDmJF2U6vTmDG0\n2paZayRInDCWPXbqix7rHru6x1gPGOtB2mWPXZXHhjohlYxUitYZUetW6vx4c4e04SMau5bQVmAP\nEg+eBzEWhiHLqt80yYrfNBtRUxgbqGVkKpATDxxpUAehEqEGQihVco+kOfdIGWV3pjJG8V/vJLKs\nGSMLzJB8P5lmK3sBbfvC1mDdW9eXlPvLM17peM4lsmVhex826yyuQtO2srd8IrZdlqVYJAAK7KoT\nFC3hjOUt4NS28QqcWua9itpygrDml55D9tCsbIO2wXrKwKTtQ577qAqsowN2yALnOEkdDlongG3S\nsTC4FKASiAkBsvVZJUYkBhuwW/KoATlKLGuOg3OFzG0EYAoFQYemoc2Bzakrwxg1V3L3dWQb1cDN\nK4bZz9OAvWVNrxUP6v7Yy5NbJc9EXlv56QSal5f7pea2gtHvSG6BIjtJVxrGurSUd5qsacySoGnM\nGIcJwzhhGA8r7QOGYZLVi+mAMUxt4nBggfRYXMnL4yELoGO2MNes0VN5zmapj8dSGrDnJFB8zK2A\nNs0Rh4o0KrDHLAmdxiQrfaturYeITAlTOrR5JcA0Qn/TEEhXBN2mL4ISS+6RoWiSqNRyd0veEUK1\n9AwTnF1IzhAhtLmZ5u4jHEc8XeLHBtYNEZP7g/sFAnvLf71mYfPsZ2q71LD6sHnhwzbLugbJu1tz\nQEmSHayfcMxIiGAUWJpUl8ipXxijk461qtsjz4A+uPbeHVOV7z8WAXLMCuqkWTOtHqRGYXlfRSc6\na5ktDJbIcrloQQTLELIItMVCcbA2d4gswBcrJxTEyDIfpgENbMPIUa2SHc9K3eYL4KxrrFgg97Gw\n+xv307dGnqmsAdt2J7cl5Ys2HaVApVFyTIeRNeWpALqVISONE+KYBcbDQUraY6ft3aCrFa09HDDG\nA8YgkLb9TIc6YSwThumAMU8Y8gHjpHWekKaMkIvk1LEUw9McQtf6tABQIDtQr9XaTruAsosC652m\nZCgu+ZPqaQlRJsktSoRnDfOj5zmjfQAqI6YBOUkunZYoakTL8BnGijJ53Ta91htoDG5uhh2svUvk\nkrJlhDwdfX7JLGyjRO/D9tCGyygXdFdlnmOIA3ThkkxC1KwlRRclkhywxXdtd2tL5MQcwNVZ9gZt\n82E7C9tAvc/AfpqhTUVgHbOOjlNXx+UxFciqxEpzinAANiMfqIJCBIWAhIo8SN6FzG5/STJg682J\nJN0sAsSythFdgiaIj20YGcZ5N5LZ+uA5VttnB215hv2k4aUK7YG95u97BeS1AfMPUvXclpX7fCCt\nDvOScwvHHtW6HsRn3YA9CKDTOLlaVibetMUuez2+bSsWWzvJWtkhaLyQTRiWCUOeMEwZw2HCME2t\nTgcBc5gK4lQl6dKkx9m1p4qQ1V8WnIW99TVrqTeyyrfcBNQcxZCqAVUzW1aSENUaI6agwHYeMgZm\nC5tkw46CgEwBYMY0FIRhXOyMw4NMOFbdoYpMl31Mg+m1QbulxjBoM45TAV6i270+9/X95BkDGzhS\n6iPftdVr/muzsNExXUFid8y2pBoKbHLbC835doslnOF5w1zb0qsgzsrTTTg2t4hzh5gPeyozsG8n\nKdamMGfItBGyr30GzRghYUyFEWpFdLCOCJLDOwRNdxlQqSLXQXMzDLO/Oiis3Wii6MotCmpZqyVY\nNaSvDEms60ksbGrbNrEotOZXliE9BNZBFXqxy/pdLew+VtUr9UsO7rVJR7Ogff4Pf7yo1SViGfUG\nyfcRW8rTA4ZRrGpL1vRAF7pIeazHj1vfA2sHDdPLEtiZWCcMc8aQM9JhwnDIGPYZaZ8xHDLioUhW\nvEn3FLUsee6YDgZuvdnqV0mnvuYo59WDpmjIshBG0jLYdtnivuQoxtUUk2YDVIva3CEWRKBwLxSQ\nSfLaBLWs4WDNY0CdCsqouUdsVG6WteUOn4B5R3YHbAAzsNsbwjq4+6EFu3oL3neX52Rhc9fXw/qE\nS6Q3xAvJDuuZZuvadhs/QPaK0/3f6kBNOarPt+t2Pk8oyByRdNMB2xuRWTPx+fhvD+28tLAPBuoM\nPFZwk42Qybkxu+NiUA9AqozIjISqXzuDqCJQQAyEFAgxBqRIYCotF0N2u83kKBOOfnK16O47FlbG\nMbTtwyRaRBLYh9GW+2K5OuzQWdce2iC9H5+yONZKXamfnmI/c1lzibQcIDjOBeJ3Kh+snrfcCoPm\n+9C81eKP1qx66vbYhcd44Et8hNcWfXJ8Ex7jpu6RKEvhIsAuGSkXpElBfVuQ9hnpNsviMFssduBW\nFn37+bh9tT27umPbhq4uUjIIpGcXR0A1A2sg5DIIrENou0ZV0mQSpOG5qu9TSOI80RzwFvFkkSJx\njIi5IBuwNfdQc6kmp9sBAu7m5vHGyCkLew3Wa6PG3hDxhuxl8oJdIlugbrNd8i9VrWyzrntoews7\nQvLrzRYAACAASURBVK1r2f+xDmphex+2ixLJKGJhc5kt7C5KpOUOcTHXfsLRW9iPJ+CR1gTnsnTF\n+ooriXRiUxfyBN3YlogQqCAFQoqEIUlBKLpAxrtBbPWX5hY2v6DtbelgXRusB915pLblvovh4oF1\nCG+KraAOQAsyX8RS36W8orAGtoHdcn9gmQvELzVXcMs+u5rvY/BZ9cQV0jLqDeLmeECP8YAe4TUt\nr4eHrd36SPpuaI8YMhIKku6slIqkELY0wmkvGSnj44Jwyw3K2AO0l+PW7o5b8ES4sNZRGxfSaSkF\ntoaIto11M5BTErcmNBKE1WdtlnUIyCFiChFTjGLeqJvJrlOHIG6+IckIZuS29qGltmjuKbWubQNj\nyxYKCLR5DdZ+MmfLLXJu4vHu8hL4sLfAHdBWOjKWcdgtrE+t65GBPTfLmge0JEu1qM+sRgftNLsQ\nUFA4qw973i3G0qdyi05Bg7Z3idik420H7EcHeQc+g4TpR+76zEUOVl81CBXcNnC2sN4hAmMijAmg\nEDHZTScklBAlzjzp7h36XhqwbVmvbvBQdFnvlGQYHnIRpS4O2JZqtd9+yRS76eF9Jh09tHtr5CWH\nNbAe1jegZcpb5AAxUN90/X7vxGQx1G6DAQX2Lu3F1UGP8QCP8Boe4nU8xJvoDbyubTl+iNfxBl7H\nI9zkx4gk7r7ItW0unXJBPFTNSFkRHxfERxX0uIJsb8RbXyukb7vHDNgeylvHFlhhthiUDIHmxy1/\nSgZySbMbxFYsQ10gQazsHAXWU0yyrEZ/TDxoCtYxIeWM3PKOVLdhN9QYgUv1Qo7J3Klh/6bOjSZP\nTaI/mX4/Bx/2llwCbi1+abRFi1hEhR+6a2GXMKbkKMnSi+XcHVzymR0krrm0nc1LyAq+oCundGmr\nKtPipepEIQiLBO6LPFYb77j33gcCagbqBJeUSQr5cmCECaCJEJObvU+l7e6eakZinWzCXBJkiBxJ\nEtRLiJ8VBkVuE5KLutfTI93rPoD2vu9iWbwCkHZCr68YIwNAO8ik7W5uUwM4Lx63XNSSl1omDndt\n4vBWkjOl29Z+wI/xALK8/AHf4sYK9rLknMV3veNb7PIecV9bCQbnx1XKo4rwqCA8rAiPKugxg20t\nw6n6Fm2DC3J6cdT2fRGLvYgXqVaa5QLx6x9khByTbCySuCDxPB6W/NzTUrdpkpW9YUIMCSmUOYQ1\nVFCsmgiLu4nzlUKYR45NJdfcGlsQfrZGxwsCtvdtb4Fba1Zg1yCuESvNEmTna4XEXLp806UIrCeX\nxW7PIwbskJBlb8dQkGJFihlDkm28yhgll/UugG9I/LgVLS2EbVoRGBK6V+f1EYnmBGJrzFv7Oj3f\nNYpvvl9pdMpidlsLFdZSEaoWdst6bWcd8kU3Im5Ftk5DmOuLJ8T9m7E3sKard3PVvfQSXq/HnQNA\nGmlDuznihkbXb1EMiZvlvIu32AXNnBc0twfdujwft7iBAXqPm2orFA8Y27LxjIGzQq4iTgblCmqF\ngUcMfsiojxj0EKgPATwSC7ruBcZ8EDizHlfrm6B7qELu0QyJZopoScwoiBFDca4R1P2jQMZejw3Y\ng/TTHuABoodVPiPiqgvGNMN90H1Yg2w+IsmUxQiJmlg5YNZtChXU9BvrBrFnbK/Tp7jL/QlrxsnT\nhfcLtrCt3rI9rQS0nLWlahw23BCHnXUtOadr1vy5DdgDpjriUGUz24Fl54xowA6yhdI0yAKForHJ\nls8a0/xS2nft4qxjmddJmLt3baTY64j/NHwEo4Wfr4amL2Atdaii5ALtMu9XiVmpk0a7hg7YFHhd\nqdde8Jpib+mjhzThHQratAJsSgLlMNYG6GBbdfl+9VvvuhSnN0HBHRywDdZQq7re4qbusWurFDXe\nWpeSp6oLXSaBdXiosH7IwEMBNh4y+BGjPmRAgc23M5jrQUZ69bAsfNBRYMZid63gQN1yXhW0FCoU\nBcjBQG2Lhga0lb4WsUEDYEnxqHKDNRmEgxodoSDyvKKiRXJTQaByZIzI672Dfq9BezFy7PvPQfnp\nQPsFAhtYB3UHa64zrGtdcYkorBPEJzWRhg7N1rXsITe7QwYecYud3pnFFZJiwaB5DczCLt7CVmBb\nJJvlBglV46yziwSB+KaJj115a4zrrWs4C5sdsLmzriWmlJuVvbCwWZYVCLSzs0QU2gpuD2tyP7Cz\nrudesc1t59/UmuX9DgLt8KZy1EdRoByGOb66lb4/VQfr2xaOdxMeC7SdhX1Dt7jBY8m2Vx9jV24F\n2LpicSgThpIxtKXl4qemZmEz6FEFHlWB9UMWSD8E6kMGPxRruiiki+6buqi1X9In6AgzKJRdOxTX\nNqAHIBigtdABCGrJB108ZsAWi13mc+Y1CCzWtaYajqzuEhc+YLC2ESSRRFnJ4p4NWJ8yQLxuA2iB\n4UfgJgftU1bMk0P7BQB7yw1yyoddZ1j3LhGDdQI4QTfpJdQcUfKxS2TgEYl381rHUCQPb8yY0iQr\nBtW6rmOQHAQPCJwxL2SpzhWiuUFiUgvbuUSAM66ylU8FcJa2c4l4y5oLdMabpRQG1YqgbhFxhxxb\n2A3WVDoLu86uEFPsU9A+Z2EbrN8BQW2yZmGHyBIeqVEfi3YqskAmaf9QNS+1WdVzDPUN+dSnj5s7\n5AE/Fgu77LHLe4x5jzFPunJxkpA9m9M4lBnUDxmkxaxrPGTUNxj0CIACO0+6itfVuT/Wtm1FaWA+\n2Y4C51Y0dw4rvM2HHS0uOgJgzMCm2vzRIco8TawGbWddo9PvUBECIwQzSM64RbYsbZPe5bfQ6WcD\n6F5esIXt5YQvu6109LBW69rqiYEUNDrEgvMjcom6E7MsMjnwiMiTDKdIJjEOQfar22nkRBmSukTC\nnJIxU7t/UBFoU55h7fP8aHQSgLvB2rtDvAvf5zJp4NZ2c4kUdYmws7AN2pyRaHaHRC1mhQRSK5t4\n/QVvwXrrzRCOof0OJms+7BDn/ROjbX6bikAmlTl0L0pf810vyuMZ2gZriIX9QH3YuyrW9S4fME4H\nWbE46aIYXY0Y9xV4xOq3lnYramXzI4AeAngo/uuSuwRmG8UDO4a5Dv5Y28X6FM7R8nt0bpDmO9fI\njZarhGbrOsSCUHTLMzaXSNGJdDc/433Ya7q95b8+5RI5GjGS9tPynKMfxJpf+/7ykkWJnHKJ1CWs\nC8+RFM7nIP5rs7AjSknqFhkw8YiD+r0sE8FIGSNNGONBkihZxq8xou4iOAeZZDFYVywTOXXANh+2\nWdhrfFvjXPtE2L1l+yj6xZ/nXCK1zH7sZnlkZ4E4H7Za180lYpEia1b2JVZI/4beQeG9bmELjG3/\nxNTasgGutWW7rrIEdFBA6/EDAzY9VpeITjrWveS0zntJ4DQdMB5kiXmaMtIhIx2KAPvhDGe0UsEP\nMT/2hljcZa9rC9wK3qls9wXMYE4O0i0pYZiPaxCXStRJRYO2rZ8g9W2zt7CBGbYa6RGj3PCCWtgJ\nnUsE5hKRIu6Q2nR7AepL3HzAuv4e6TJ19an2k8mTbML77gC+BMCvgbz838PM3373K21Y1UcuEV5C\nO7OsbsoduLOfdHQukZIQq+zIHLiAUBGhsA4HjGGUzHcuSqRoeCCy5qJeWLUCa8u0F+OxS8S+51M3\n7/YJmO/aW9nuXnUE64k7l4i6RbwPm2vz8y0iRdywcf5RnPDznRpGnnKJ+PYr5B65RLdXfdjmX41Z\ndij37ZiRgkFcjpt/2sG6gTrc4gE9Ft81bvGg7Ryj1nXZY6ewHg8TBl1invbiDomPC/iRWtGPBMrc\n4C3+a34DCm+gHGQtmkF50vbB9bV2la/fdL3tH0zHfW1nObOs1W+dXJRISPqYB7Za1xRYXE1Rd4Av\ntblDImd1iTj9NoMEMuEYmnXd6bjp7aVWdtNjb1GT0+e7QPv+AH8SC/svAPh6Zv4kIkqQbUAvFHb1\nKVibuelg3dwiEFhHCKzVIuQJLeGTn3Sc6oBYMyIXEBeQTsrtacIu7CVVaRyQhwF5iChjaKGBrNty\nGahtp5gwik8uatY9b2FrFpSj+Qus1P6TsIMGagfrFt7XrGt0YX1+4nGecJz92DaLbtY1H1nZDcZb\n1nWv4NZnX91i2IhXAtArcla3Vy1sUos6FMSQEYNse5WCRCQNQTfCDQLvG3qsIXxiRXur+gEpsMmA\n/Rg7ljzWuyrukF0WaA+HCcN+asvM017irSUSBA3SaNBGg3dVeBuwcxUgH3zh7rhqSDXNa05cEsLW\nrsC8hMKArT5rcu6Q6iYdWYFt+mjrAxqsi/dfdxPqOA5ZtfmZTXffmtXdA5uBNrHooS2asNJ+ehZ1\nL/fdhPfdAPxGZv7dAMDMGcA/v9tVPKI23CELt4iBujq3CATaDjQ+rK+6sL5YEyYeZX843SMuUMGO\n9jiEEYcwOpdIQsk66VjI7VDhYK15rFuaVLWwS5iVteL8V+f5duTH7j6CZUgfZmhXCesLCu3Y+bC9\nQgcHbXJ+PpBFifBpV8i5iUcPbTv2b/Ylh/elur3qw7YohWCLkybds3CSxR620SzJ8Q77Fg1yg8dL\ncMPAPQN7xAG7Os15rKeDpEu1ZE63Gem2IN7K4pj6iCUa5BFQHwmoYX0PGfURZmBPCmvWBcQK6j0D\n+5V2wLxy1+Zs7NgnuGQotC19xEEta91pqe4V5gfn13aLFyjKalDK86S6TKzPum0RIpGO9btFiji3\n38UhfVtukd66blEiC03q6r59P7mvhf2eAH6WiP5XAB8M4LsAfCYzP7r7pc74stuEo0WKeB/28V2T\nF2F9AblExJoQ6gCqAmugggEEVOwV2LIZQGpRIpar15JBgSDAPMzKZrPdi0lHtTaasnbv9FTbx2G3\n0i+aca4Rcv5rc4ssLGznv24Wti4saJOOixn0C10iW0PJtTdn8grAWuUi3abXj10iYtVlBMptVWmi\nAxJNGEmBTQcMerzDY+ww+6gfkID5BgLqB9CVjSQRIiNPGDWv9ah5rEdLkWoW9uMi0H5YJALkEVBt\ncvGRc4foopmqVnaZllGyBuhb1s2cunZbTW6whq48p6W5ZXrBzqK2OOwwKKwN2i6PAwVuqxND0oyG\nxbtEsrhEWho3N4KEt7IvWF9wCbSBFWgvNKKr1x57crkvsBOAXwfgM5j57xPRFwL4rwD8scsvsQHo\nzdA+7w7pgO0+K55Iw/qCm3QsAusqq6aYGQxCQMEN7cTCjp2FrZn95iQ1EGvWwdqULnYWtlfarXEE\nsPy+fwxu3+S1j2JtwtFC+9xKRzJYV2dhs1h9yU3ILIaNaxbIufS/pxR76+t+NeQi3Q5vqkc/3EDu\nJkkZCX759AGWEGEg2VTAR4D48mCl3OAWY9sIN8tmBDkrsCVVarOwH0l+EDwU69pqiwhh58OuD4Hy\nhkaAcFsw3HKpWfqQvkS01B8tDYilCvG6D6gHwU0ukrpArFTnw+a9PI4IWYiUqsSuZ5aNFMwlosvW\nJQJq6ceew1Z5Xum45hLpR47nrGug+85pCe5FPLavn57cF9hvB/B2Zv77evzXIUrdyde59vsCeD/M\nX2fAMaz7Pi2LTQx4BliAaJmtZFF/NmeF9hRRp4AyJYSpSorFg435gBgKDnnEoexwqJJbZI8d9jRi\nH3bYpxG3dYd9lf6YgUl3N88TUCeWCBKFZihAKtyy7lWXzru5O/TTYNf/YwX4w3vgDwfgox4AwwMg\naYlawgOAbgDS2hIJ8Y7Ao+b+1fwnsjN6bFn8JkrQzMizc8Tl/pbNGtyGw/2vbu0GcmpgtCj9WKIf\nd1zyGAD8IIAf2njsqcpFuv3o8/671k4f/mEYfuOHoVKUgiq5LQwaBIUGAEg6USZCgIasQQqRWyzi\n2va7r4iSvCtM4Bg0lTDakvig4Z1B53vaoLQCbL+binlJeWXJkMtAnDRDKatbQ39q/itsC8awzNdk\nbpH+2LfTKCWOQNxJHVwhK5bNcITk8Bk0p30iSQkcgyQ6C5LnXTYySDp2NL023ZZUrtwc6TjW4VO6\njK4+srR4qa58dMKF8gMQ/T4v9wI2M/80Ef04Eb0fM38/gN8M4HuPz/yY/j/vWJxLxMParOyVuyVr\nlIgkgAookyYvPyRJ0O/yZ6dYMOUd9mWHQ91hzwpr2uH/b+/tY27psrrA39q7qs5z731bGhAaHYEX\nGEUwQKZtCSEanJmGbrABReJAlOluDJOZGEEykQ8nOpn5a8QwM8axE+eje+iMog4Sg4mJ3XwpGRJH\nI01ARKXxVT5C9wQGnffe+zynqvaaP9Zau1bts6tOnefj3uehz3pS2bt21bNPnapf/c7aa6+91lXU\nrdnhknfY0Q7NAAwXLNnNB0YakgRqyuYIRqMTpAQ1Z9gz5amePUK0/tsZ+PYW+PNPgYs3AG+rkHYw\n0n4E4BHAF5Bl8zsla83LODZK1iHmLOo9WvTcoOcpO82UYSe4DDs0DQ+8+WUzSXsAO4Rnw/waBkqc\nlPJZupn8UOWcm8tWbO+++dtn++mpkPJIUSdzZcFGn7U3AkKQ2M8UkEKQpD1KzkbKOYYWa0kakx2E\nkfYYQ0SKAWyz2x1ld1OyTOM0AohIzEK6zBrjHZCIkHquUxubXqaHWiNqgTFgJJ2Q11U1PMUG83Zs\ni1TaFu0NgLYDmp1smbR3QNAgWZSDZckmSojlG1XSjhpt0iL20RQmOZM2q9GvyMt6oIiUpH0M3xkg\nRbl6YCuB//tw42sAH1g88yZeIn8SwF8log7y8/Duw1OOaVKOmJe065mGDUfamEjbcBfgovVJaqDU\nR4y9ZlPZty6qn0QE2w8d+lFijEgUvx32QcwkV41p3DtchR3GBKQ+YewTxiEhDQweEpBXGCrKWbSn\nTNjua/iv4+tvfSRk/d/+CnDxCvDln+C06wvdTLtW0sYFwDtC6iQV0th6DVvjY2si3hw7G0bWkp5p\nTBZOdkXDLoG9BnDA/TJ5DHjSRvEPS1h5aXIU2/w0HPxToogUE0ZS+2u2nRIQJPZzDnEb4kzznupC\n3jk9FpCdEpILk8uWzLflHEsmqOdTIFkqyInVuUrMgP45Wa5QiyTKe6ARKM8cs/KPQUIOctYkTLmE\naSLlat02Jeumm4g6a9haN806xwy3zDGqXScl7Um7zlOOWQEZlayNtC0JyYy4SyxvJeoZ/zrlhGvY\nXSPw68u1CZuZfxLA71k/63AmfVIf/F2rkXXRbpq1EXVeJ+5ugmnYg2rYvWjY1LNo1s5Al/aEEJNo\n1qOYPfY8EfRl2OEi7nAJqe/iDm1icJ+Q+gQeRqQxgccESZZL6oEimgsTJLKZEXMqSv2Knrzf/kjI\n+s98GOjeAHzlJyppP5aS3IYLmjTsXRDSbjUediPxgocg5pCe2mwSGWZa9pQOLSXLrkNzrbpmmPSP\n6ICsXT2Dujy49A/3g8C3YDtVCJsCYwyNxMLQIEi2ioSD5CtMMebY5TkgkZI1gmnYJNAHZF5GjSOJ\noqbSIrHxtpgFSBIPiQYxjKCQlKRlvoYdaWf9hgEGgyGLWWICWhf3nUbVrEcl6lHIuh3lN8i79S35\nY+d2NYdkDdsRt5lCbOMOTsMuTSJxZhIx7TovC/MjR80cZbHtV3F8lLyXsFmr3x12X3LW9BWt+kC7\ndpsnk1ITMbe+nkB9ROpZsyWzLDHvCbwnpD4gNiyadeqErHkndmzqxByimvVl2mHX7JCYgWEEDyNk\n+Zamn9Hfj6gvR7Sh7CjXOiPrlf3mMfAVnwjs3gD8lx8CuleAr/6cukkEasfONuzCJDKGZm4SgaYT\n42YCtmnXs4QNqBP12nCy1K6tnGkirn2VrO+Vpr0o6fUKYStRj5E1K73mFnXaYYqa6YcHIWh9Dche\nhQDJtqLtzPO8hmxrwhsl6yT274iESCOGMCI2ERTGbNtgewamTYNnLsYgAFdCyH5y21b0xlHJepBy\nkAHDfGWj1cPCqsfd4RbcVppEoKSdWt2ySURGKKOlxaOomJaRY8J8bsYrIlkhWRspro4cMe2UWvZR\npeN2cP2SCPsYWRfHZ0St7DjyYf8kQZqyDbtnjH3MyXp5P5F12keEhrFn0az3MA1bJxx5h0sSLfuK\nxY7NzKBhAI0jKA3AGCTDOdvEMju/T0igJgeMMgIfO1JknuzVX/mJQPsK8C3/F9C+AfhDnz8nbPI2\n7IvJJJLt2JrXUdIoiXads9PANGyfDs0maDba+5YeW37kFbLOYF/8p5Xy/gk/jQdtKVL2cMjZjxoC\nNxFpHDUtm63Sa0GBMlGTknWWQAp9mkibjCnVg4J1wpKShhzVFZVNQAgRxO6B6Q+l5B2fxBR6NDaB\njrw4LOhmRN0G9SZRk42PGeLLULYFIWUj6bKsEvYOs0lH9j94Qc0is8XpNQ3bTaiXmvRW815+4Av1\nesNC25Zj6/ISCHuNrBdMJKV27SZp8ufYR1lqsCGAekbqGegbcE+ImcjFtk19Qna2IimvSMwie5Lt\nEh121GGHHUAJYQwI44CQSDYWW6Ck9grq30wIRtielK0+YqbJWt1s1vEC+IO/UzTs/+LvAc0rwNe8\nxZtDMPcS2SlZNyGbRMbQiJZtXiLczsj6ANjlhOMW0j7QrmvlErs/HHKuSc0kkl0n1IDLTZCRz5gk\nRV0ac9iAgFFsEpHntwMQcjbIT74iYjrRxU0hTjbrSKOuntQf6iYixFFwqfgEJ82EJMtSbeIxWxQb\nSHYjjY9Dg3qORGCIkElJmuKOEZSIjaSP1QuvkJmHiCPrbBJRNxNuKZtDxH4dZh4i05yMm5vJ9usA\nb79eJeottuwZRL0S4toO2L62f325JzkdV7Tu2RCbVcPG1GY3zk7LXiKiSbMlNdgLWYd9Au0jxn0C\nNYw+CDFfBTGB7MlMIR0uqcMu7HBFF7gMVwAlxDEgpoBGc02SXkMg1ih4JMFwNPEonE0wLzFPmHlh\n2H58PGnS4RHwh74AaN4AfNPfEtL+w188N4lwR8WkYxQtrnTrU5OIkPYUBioZaSeaTCLjBuIuAZ4w\nPYf8mD0D+edeYqDEycMg7uqkY1SvjVbnUdoEHiOoTRhtQROmaHKIMjqzYEfZXq0pqjLZ6JxIJuzo\nbdajZkzq0cQG7dhITs8mIBhhw0wgST+GtI2y22FooCno1D96D6QoC2oaXVswOlgQJjI+iH0ddJ7V\n6lGI2GvTS/WZScQ07FZt2M5TRDKnW15WvyxsUkIST3Mzs/ysJY7XFJBj2nZuO1XLvp7cMWGnSpuf\ndNy4ebKeteludKebl0gPYCBQT+B9yJOF1LOSNoNaxj6qVwhkefqVeonYRONV2OEy7tDFHSgkNCmg\ntdgijMl/NowIIaAJQbObYxbzw8cDKVctWjRAb/aw+te8BYivAN/4fiC8AfjaL3EmkXaamJFJx4BR\nvUQG5yViGR172GSj00aSs/V5QC9NNi4NIYFD0HJxwqJGUtbL8+6fpNcPTSLUsIzwuoDUyUKPHKuc\nffYUwQyzmDd4MqjJXSCdtFaXPskaLiQegpg1gtOsYxzQpBZt02v+0ojYRDAnXbyaAJ2Ak54IZH7g\nIJnwbJSsGyD1onCkKFM17BeDOZ3Jkl14siZfj67ufK1LVz5/DB3A3hzSmllJzSE26Zh9sOOCSSSq\nD7Zgu+qHvVXDNjkgZS7al/6xOP8G8pI1bH/ntrr1LXSlvwMSuxqA2rDRk5pGgpC0eozQnoEOMuHY\ndJNmjQ5X1KFTP+zL5kKTpO5AMaGzNecQso7q80QhaqoxQhs1s7kj7By0qVIaYZO3U9simUfA134x\nEN8AvPM9QHgF+NovhWgh5vbUqo2v9SaRyUtkIJ1wzDbsuOiHzaWXyBZb3wGoK8+dl/5xqwpzv6Sm\nYXPL4IEk3szISBZFUfE7zXHwNMk4FVmL5mAmEaFXpfgpKL9OMDZJwrY2aUDPLfokgc5GDhj7MHWc\nnU6SuaEoYdviHQBRyJobSCowm/x0XJdfwyR9GiGTI+ecw7Fo8yaP0u+65odt7ifZJNLIopkUJrPI\npF1Pk46jM4fMTSKYKyQl/azB8gCOvNC+iphTTl6Uh+ElQkbWLHY/8+wPjsTVTMID5dWO2ZWvZ5CV\ne+RJSOyBfStkLcvTzUtkJ6aQZoertsNV0+Gq3SHGUTAPmexJSGDNNEohIISAGAhtUxC217QtiWnR\nhnEyd5id2u9/7ZcIWX/Dd0n51V+OPKmVh4tupaO59YlJRFc6FgtnZsCuDRmP2bHLIeTsMR8j6DVs\n3H+puvW10IVU6v2RzEYs34nUDVXc/YrvSRMRclKfbaddG2FHm2Bkif7XokfDPTqefowHjmjbibAJ\nAHTxjBlE5E/ewJgrACvhGlHnqzeiNvMeOXJ28dMPMqZb3WnQB3VH1LLSUbxguIF42Ri2ddIxFTbs\n7IedF844bCeH7RpJbyXrRViunbCG9evJPbJhl5u7s/7lNy8RI3Fy+4ASIuWEvD6j+ixIgkYN69Gh\np07MIrETDRviIdKFHbp4ga69QtvuQTGB1StEgtoxGmKMxGBN8EhxQGiCbD0f5mA82Hgi7gsAj2hy\n23uE2SKZr3krwE8Yf+y/Zvzvjwlv/Qq3DL1RM0hs0ccGQ2jRZ3NIhz2bW58Sd4oYk8RMSaMCe1Qb\ndmm2OaZpHzxqLupc1LcS+P0VfkqHbS3E0JvvG63/sCXIssFSRzHTCJC9Q5hoSkBh5hCybOHmZd/n\nLTYSdyOlhJRGcAqIbtab2D5DzC8hsJhFalmj7YfGX7sj+dn5S/vmhqqT5djR5A0yW+EImY+JcXJR\ndZtfwTtkRcQwraPHFDGmOVmzGeFPxjZjPmossVxruzs8v6SMM7UXuiTqgPrdTFj0O+M02V9NczXS\nztFsSKLXdPIRKQWMKWDgKEl6NZ5IGy7Qhh4xDgjjCDSMkWMm+D506EOrUf40jnYy0AhRhiblAE0Y\nTeO2+kTUdlwWw1TKHQmoO8KXvQ34K48GvOtPP8N/HwN+7ztewevhFTzFK3iKJ3iKx3iWnuAZ/eIE\nNQAAIABJREFUPcFzeozneIzneITLQbarfod936HvO/T7BuO+wbiPSFcBaU+SId6i/vjRSA9nj+cK\nCR1TwY9Nwz8w8n42HLY1EJ+3rCTQRE5XEM3Rk1Ue8geZLG7VR9vyPjaScd1ylkYXm8SWRyaKzhuo\nVdPeBS7GS01eYbZuSTQdmwFNO6LZTQGUGoxK2DKvIxowgzoGrgC6YNCV1q90lOqDihwrI8CPCXgC\n8BMCP9H6I3FLtaXo4goJDLHB/xdfweskm+D6CZ7xE8W24foxLvkCl8MFroYL7Icd+n6Hvm8x9C3G\nvsHYR6R9lHksr7TpiNtnbpqHYWAHQ+fetTobfwrGrycvKQmvlWW9JGpClaRpgbyNsBMmH6QBTrMm\niRHZQcAR5Jd3TOJ836PFXmOJ2GROGEeQLvHNhA3VXuNE2JIzshFbIsR2nCedNG73sfq0clEImndu\nNWNe9UX4D7+C8N3dY3zrt/4q/mzz8fg973gFr9MTvI4neMpP8JQf41l6jGd4jOcs2+XwCFfDBa6G\nHfb9Dn3fYehbDErYRtpsP2hXyDFXhKzZaSVcAfVNALyEk3tM3M/6w7aGlLBJ7ltHgrmOhKQ7lnon\nxyRCncw/jG3A2DYYMlF3Qp4tcpAnSyiLvMQ96AKpVpSHoJPk4QIXfIWG1cJLU7abthnQdCOaNMyO\nh6hZ3fdJyHonJB32Mt9DNlFvGzDXwiNP9VAeE8LmxwH8iJAek+w/MnyHvEiGG8IQG7weVBGhJ3id\nHK75MZ4nVULwCJfJcH2BfVZGWgx9g2EfMe4bpP2kjLApInsuSJsnXFvUK1h5jKy5KJdw7+V62H7J\nSXhrX8qTttq4uSRpdy450s4aNqmpodB29iwv0HPkIOkWd2CEaSgtrsJOyHoYREtODGZgRBT3OGox\nBN00cW8ejpmLUfCErZNPmZx1v4hnnSyQk4vAxzvK7ayrvjgG/L53vBF/Ln48/ptv+TC+OXwcPv8r\nPxnP8ATP8ATPlbCf4xGe8yNc8iNcZkALWfd9K8BWLTvtA3gfgD2taCI8addVUNfAunVW554TdCk1\nDTsaWRPQhezih46ASy07cmHtKD/T1KqG3TYYWtF0M2G30o/EiIasnLRFJLHJI729TZTHR9jxFVol\n5VYJu409mmaQ9jSgZbWBh0GzuWso0049qXYJYZ8QzLOqTwh7RujTZBJZiDVdJgpIjwLSI0J6FMAX\nRb3TAE+6lqCPDV4PStT0RHFtCsgjPE+G6wtckmC7H3YSF8hwnTVsWXMhGjZNPGBKiG155MiTIpJ5\nZotmfWxECRxi/HS83yOTiCPoUrsuzR7k6p60U1K7IU8ads/6kCBaoy1saCATK0zZNagPDfaxQxMH\nzXIhDzIlErOJ+jQP5DTsxuJzqBcGNWJni00OuD6Rs2SEmQg75WznNDKShUm1VYudah5+X4fQfWzw\nlq98Bd8cPg5/8U/+BN4V3ohPfvNj4DfvcHmhAB8fi1kkGai7bA7Z7zsMe9FERLv2GjZJlPqsiRSE\nnbVsR9qr5pCtxI2F/XsoT2smESXsNsh9a7XeaNlCwuFpGDtuoZqlevh0EUPbyDmdkrWGHeA26ESc\nLiBpxHzSN0LU+2aHy+YKlyxk3WGPlmU82Fimm9ija2WSskWPzrLhND2aZkToEoJmXQ95c/vD1Jaj\nCs6ImbOveEngaRcwXkSkiyDbLmC8CEgXEWkXXPCyKIRN06jxdTKTiJD2MzZcP8YliYYtRN1hP7QY\n+k407N5MfkEVEppMfRnXhmm3GbYzFmsG75rf6xLGUalfT+5Z1nQj6gX7Nae5Ru3rdpzd5MLAhQ2b\nsj1QwKUerRqToA8tYuwQYtLAwBLTOiWS2Xc4wlYb9hDbbLMWstYVhrFBTMklFuBM3pIVhufHUpKF\nL2042GRBzLSaMTUBfdPiKZ7g877qTXhneCPe9yd+BJ/2hZ+GT/+yz8Xv/M++TECt9uvneIyrQWx7\n/SCmkL5v0e/bbMMeFdAzG/YVXHTDAtA+VsjikPCY5lHDwQORZwPkem1dAZCTeraswaVJ60Ej6wXX\nDiHtbiLrbDdWDTyTuS6KYtPEm4ihbdG3LfbNDlftHlfpAl3ao+Mr7LBHR3u0aS8GPE003cZekiBg\nLxlwQo8u7tG2PZp2QBxGSRIwjIj9KOWQEIZx1hYG8VupJQKwYFblsXEXMXZCzlYfdxFpJ/lTx85s\n+BF9FGy/jlfwup+b4SeK6ym1wyXEhj0MLfpBNOuhb2bYNrJmU9zyyBETaefRY3L49hg+ZbayNJPc\nDlkDL90kYrJE3AVJl2V10lEJe7AN8oCMqG3WWiOiMRGS+SxHmSgkJWsegDRKMt99Eg18IuwWvRJz\nnzXrRj01IoamQUxjTtmVM5q7zOZG3HZcJp5Ee7Jl5kttfWzErocn+KTf/Rif9oWfhp//B/8Kv/zT\nH8Wn/JG3of9NjzNpX/IjXA07DEObNY8h2/nMJOI07DzpyHNNxGsjM1CX5HwdG/ZSeU+lZsMOSti2\n1NWIOmesVSKPLNpyJwueQheQuojRCLubTGLJyKwblLgbDF2Doe2w7zrsW8tCsxcyJiPjPTqestx0\nYY+u0boSeBelrR33aIcBcRTSbsYRcSjq44hmmOqZsJ2mPWndPGsHQUYPXSOk3EWMnabi69QM1E2T\nrnsl7Kf8Ssb4My5JW3B9CcW2w/SYMd5IEhMlbSxp2AdkbWZXw+8WU8gxzAO3gel7pmGXhH3ELJJL\n/T8j7BSclwgmDbshR9gAB5oc8aMML6lJE1kPJEl8U8Q+qe1aNemehJxHSNQwWahi7kcBY4qaey7N\n8iyGlKptgdPclWm1lB+PZyyTMfRJHT79Sz8Xv/zTH8Xlrz3Fh97zw/jMb3uXTjiKvW8/7DAOEcPQ\n5NlzAXbMWkjaO8L2msjMHOKGjOzu/aoppKZtbCHteyw1G3YIGu0oKkmz4o0kPml0+IvI3hGpCzrR\nFzFYaFGdtxi7iLgbRTvtIsZdI6OjXY9m3KFNvdipWRP+kmZoxx47Fo27oz12QcwkO1xlst41V5LM\nN11JP+OAZhy1FAIv25oxIo7DjLAzUav7n9W92URypQpJW13s9Y24pFo9Nuhjp5OMsj1Lj5WsDc9q\n5tP5mauhwzhI4uyxj1Lvtb6qYbPDdpItKXHPSPtUX8A10wgq+9vl2oRNRN8J4I/plf0UgHcz89W2\n/y6Hw77u7dcFYXNSf+s1DTvozSdgCBNZR3Iz2epRSkAKJGQbGw32yzk86zBG9GODfWrR8B57i8mB\nRqPgqWadokw6Rs0FybLf8KAEbUF/tEz1/SE22dd0zPUmL4SRpARK2NSKTS89weXFY3z2f/42vOnr\n34YP/eUfxoff/yP4+G/4Ooyf/Eli50tK2DmhQ5RSTSFpHzFeRfCVs/PN3Pq4IO00kfYmU8gSiS/h\n4OXKJmzXCJuUrGdubYQci9SCPZnnRI4FE5xPsk08C1mH3YiwS4hdg+FiRNO3iLtRCXVEw4NmD7dM\n7SNiFL/sHV8KQdMeu3CJHV0JcfMVdnyFXdKSO9XSe/EeSQPa0eo92lHbUo9mjGhSFML2yRb8Bj5o\n6xtZIzA0TVGXiXtJgC31fejwND3J+H5Gj4W4lbzzxGN6hMt0ocqIYDsNccL5PuQ0gVkZqU6oe2Uk\nOcI+RaM+ZVR5fbkWYRPRqwC+CcDnMPMVEf0NAF8H4Hu291K+rCVZY6ovTTSWxJ3d+ggYAzAkoLdh\nqSNrNTsyQWMVRwxNAto2O+4PQ0QzNNiPLZrUI6Yd9txlDXuAeoiwmkJcTF5bbWYvU2TJ5Gx1T+D+\nuCwIcLGsi82Wm8uS8w7PRue6R4/Q/6bH+Ixvezc+/hu+Dr/+r38d8RM/W1ygxsfo+9Zl4VEAaylD\nRkK6Mtcnm3TkgrSXNOxjQK4RdU27LsH84sl7M7afLphEbFXVbNKNXDQkziYDcd0MSHnhCCHtEsIu\ngXYBYcfiqbFLCDuWCcBhzJnDZ8oAjQhhRIwJIUqMkQtJvyFETZe4kCVhul1Nx9GhY5mkNOKe6g16\nFrIeUtT2oIQNiUMC5JXGs0U2rq2P7bRuIdd1oVdoZ8f31OEZPRF8k0wwZk8R84AaRRG5HB9h33fg\nITh8u6ic6v3Efo5mn+aYHli4wrTsTNbeO2Qs9q9rAryZXFfD/neQ36fHRDQCeAzgl07vpvaFCrIu\nzSB+v6phYyLrIcjD2CNPMpoGABbVIDWEsQ3gpgF3hHFPmgeyQRhaxFF8sSOPStiNixJma8+aHAXP\nR8NroIQNzV6uZcRE5BFTKd4nLvEAtdNnkdrMtb5HmxcP5GGiTjCOn/xJQtajeoqMjzAMrUYvnKIZ\nyjBxGi4eTDr6hTMzW19t2HiMoLeYREpcvBTZhu0lDTubARRrREBIekxLs/3agqhdQLog8I5Bu4Bx\nx7JYxZc7CyZlnkUaUAoS+U9CriaERiazm3HABV1iF57jgi6lrqW1X1GHC+pwQZfocCU2cCXuriin\ntHISBS8TNgBoXe5BpQ1AH1rsg60qFi+rvS0+y21S7rHLisgzh+tnuqbgeRKTyPNRCLsfWofrkEfI\nE8ZpbhI5GD0WuE4Jkt/PcF0j6zV/7LsxhwDXT8L7a0T03QD+DcSr+e8x8w9u/G8sf4kacR8hafBc\n22bo/VWy7lm1GxvCMcQWohp2EzCqr2vaEWgfJGlvfjlGkE4KdtxhoGbKdgEX00DLhIhEASMFWDBT\nIeoBk5d2rW3UBTeacMBcCG2RDlzkPWrQczfZqJNMvhh5X5qNTwF9OQhhSwwTmYi1ZfusizzYvGg8\nWeehI8/NISPjcBZ9DbRbNI/b00JuIpuxvUTYZiMwm4AlRISRtmFQzB+WNQgXLPk6LwDsdDVhLiHH\nE4BkAaUgmqxq8xQnv20aGLEZcBGe4xE/wo6e41F4jovwXMIIxw4XoRWSjKIIdNSKzRstWt6jR4MO\newwc0dmCeAtGxdBAVvmuydeH26cZX+d487My14Wkre0qY3ty3TNsP+NJsxZsX6Af2gnXurqZbe2F\nJi7JGPemkLwgLDlT35KGvUWzXsI8cFvYvq5J5LMA/CkArwL4twD+TyL6o8z8V+dnftDVPxPzrNfA\ntpf3mP3IxyyNs+Y88RgwvSzgqVuCBkoXLZs6AnUJ4yWDugRoSVcMdAkJQfPwCdmLFiUrJiVBqsR8\nSERzwiZH0q70BC6EPWWHyTGsLb0XGo24JzFB9tzOgavEfNk/0qW6O1nVOHTiynfVTGRsKxnLzZO0\nzaJXPUTWtJAlzWONvLfIhwH8/MZzry+bsb3/y27nzQB+NyT6EZC/l883Sr6ihD7SPE76COfhBClz\ncDBaH5DMbMhA5HGKv1HG5bCRIel8CwJ2OqLrIFteIAa3kUV8bDHF1sbsgmb7jrSvOPurHG52jMXs\neMUdLpOMDC2kwvPh4gDXB9i+xBzbXpsutwOXvjQRdtKH4TOOHJhH1jipxmFrysnPQfB9XK5rEnkL\ngB9n5l8FACL6fgBfDKAg7C89ocut5F3O2Boj2zgzQuJCxmmRRz6NnIbDMhF0BfAliSufRgejwOBA\nOWYDA6AUxN5oGS9CiyGM6MOIGFJeNkxqs+QQ0GOQyGpwG00atQTumY75zOY+HOqsrlH3em5x2U8x\nFPZ9p36oMlueBplskaTEECC/DuApgGe6PdetRtw5fkgJ6LEgawNvEfj7KHmvPfuafBbmP/g/tIqm\nG8hGbL+z+Lc9ZKbRYdQy2VroOWr1mIWiUxIeyS30Imf3hhA7A5n9yBG3BZcycu/1/68gE5gN5VWR\nowYH65sWIY4IzQiK6sIaIRHwdBQnI7kOPak/N2lABttHn23X5J8XHRK2icTp6SplJ5P5ur9naTNs\nX7kVjMMgqxfTEJGGMIVSvoTg2mPb8F0j8QNFxJO1YbuG5RrGt2rZa9tn6mbyASzJdQn7ZwH8WSJ6\npLfjrQD+7+t1ZRdNlbbar5TX6IysrU6QoXpUe1Sc7is5s4hp2QG68hFAJHCUoWUma0CCvnOSUVJn\nOeUaDHHUhTYSo5iyZ4C+JCFKjAYac4JUI+yIUUJlFvu2OMcmMIccMrNScoOr/gJX/Q5XStYC6slt\njw3U9hLXQH2JOairGkiaJmVMA8laiH8WZcYGT+glIa8R9M2HjjeQjdiuOURFR9KVjUdI0kfdclJY\ncqRNeeSWVWYGcrBsNefBR58ro1JeqltgjiNtQaUaxKadbN12GZHkHGowUI+eOrS0xz506MjcBYW4\n29CjpQEW2zuLjixmk41ANkH2Gi1SkkGLSS+3ceOOdehTK9jWuDf7ocurF81lzwibS2wbvk0ZKcn6\nQBlJE2lnbBtp+/jHJVkf065LAl8qT8P6dW3YP0lE7wfwj/WT/wmA//kaPaFO1AQckHVhBslatSPr\nTNhK1vYyWNbQ3o0Z7WOMsPOiGjo4hTkAI4uGHWOO4TDEhD4msR9mH9spzkMkC4WZZsRt9UDTsYCE\nkS227xSXZNB8dQftqXHBbqZgTjlCmc6Y5xCzlxAge0BfYg7qxeGibQkYPVmvaSA1m9+SJr2kdb94\n2Y7tfeW/DY8lSdu9MU3bEXZO50IySW5kbfZw8T2V43nfkXwZL+cKU77PHCddV0c208KwPKJsIfM4\nocEYevRh0KXsHZrQY08DmiBL222JexP6+aSjm3DEQntvUSwtjAM3EjCNp9AOvbWPLfaDKCI5sqQq\nI4O6pM6wfYW5EuLxfXTk6DTs0ZO1x3SNrLeMItdI+tiIsi7X9sNm5u8C8F3X/f86WXuiLkm7JG4j\nbUfW2V/PTqdJuybCFEyKRQMHZaLmKFo10/TJxJMCSSMkpkdjZM0IjSRDJdPQGwJne2GLGMZMxhZ8\nPpBo09P+nLB9miNzERwr25AaBXKHvcZRkGBOrSyGyaDWsJIG6uc4PmTcY+53PVQAnVQD4SVQL2kh\nNS3bY+DlyzZsL2jYtWF0Jmm3j8aRdZBJ8kDihmrKSCZ0Pc9SwIwk5+fIgATsw2TH1fCtOQlwE0TD\nbpMSNnIUQIlNo+aS0EoGm1Bu46w9hkG06xkx88yGTq4OggZH0zULOXZ1UVp9bBTXXcb4YUAn07Ax\nJ+znmGvYhnFvv55h25H2DNumYZdpok6dq9li094u92hpOrmybCtNIV67dpoIm4ZtpxpRJzmPk74A\nDJ0zyeYQv5yWQRNZJyFrHnRBgwbdCQ1jyMNKr8lo9L6mF9s2JVAm5oUtSJzjMYVZ6i7LTTeW9SRB\n2geNB2JEnaPv5SW5qoWY5mUANlNIjbS9FjICBxONM3NIaQpZGzoumUQA3EPSPi5LGnZzqFXPSDvC\naQmOrIsQdzYPY8dHw61q4j0LufdG1qzJawnYsSxvbyjHogltAjUNqGXVqpFjkwxtgyYKWcc45sU3\nUYl61qZ1BDN/zIna607kiHzQZBmSwixOdU2kMSTf1hzg2kKmjntRRliVkQNsl9uB/RoaFwdzos4u\nfZ6sS2Xk2AhyScNeInAjoe1yDwi7JOvaS13ar+1mUbHZaTasVG3EgklxUO166pID5YA1RtRglswy\nNqodCOh5CtTTRAl/2UAC+DQBqY1IzSDLbZsWfTsghBGBWEmblZinOukxq6cUHFGH+X6a0nmNSfaH\nfeMi7klckAxqW2pusZkN1JeV8kDD5ik+sPmnGrAzwNWHimtk7dLFHzWJrJH2fSbvmoZtSkSslKZZ\nx4m4WSfIUxRCtuWRuT2pJh2FpI24M1lDyNqi+3Wk9TISYMRYhGvl3D4IYTcDQhwlU00cZ1uIsiAn\nNlMbciKF5c20cABZyRjHONVTQDpok32PbcP1sNdJx72OHvfOJOKxXGJ7hm8WeK5ie420T51wPEbg\nD0rDrpF1jbw3kjWAPEmTzA6o/2OLPOxBRc6Kt2Qolc9jVtLOZizLDUngjoWYW2DMITKDeykaDK1k\n9IjDmImYVIOmwKJtB662+4S4maATac7FMCPxNAYlZgvUHl3kvcZl2aDJJFIC+MCGzfP4IbaisdRA\nFjXsLaaQNbK+zwRdypoN2yYflajzBInZsQdMGrYmQhxdkJGURLOOSdojC2nbEL7FNMHYIkf+k9Ct\nlNuMsMVlNUrYhW7CrIVzje2A2KZM2KHx9REhJqkraYcmYSlmyCFxy3lpVIIep5R046iKyBjysXHU\nch91tDjH9VDGBzHCrmF7ZsNewrbHeMLh/MyS99PSKHKJlNe27fIS42HTQpsvrb0k7JK0fTdmGlHb\nH6spJOgDsaXBmqkcAdleLbP2ol1Lai+o4z3E8b4LSB0w5uDzQQL0tBFjNwroXSlufkbOlbrfJ0Zi\nEmJOlunZ6lombWMCjwHjlQB3Ct4UD9pkKS7VfbA9uDUFVNayR7vtCmiLN86lBmIRtpbIO3eEZQCj\nUt53WdKwjXhHqNsR5H6YKWSYzuEIJJdIkRsh8KhEPvKEVyPtXglbJw1zFMAc0lU/pnUR/9opqFTS\n/bGLc6yqfTs0rHZu3W8rbU06DPxUkrWP2EcQkh4DeAxII83307wtDYplj+u9x/VE2DnW/dLagkto\n4hJMNuyRF7BdTjpuMfWdYg5Z2t8u98gk4uv2JaxuqrAna+CQ9DERtk3SBLMFMnKcBwNSmv6HWVeS\nuVjalswXewJdQWI/dISxI3CbEHYSFjN0jGGfNAC8lgODonweZf/siaAlK8f8mE8YurixliOBr4Lm\nYhRiTnu/H3J8kCmfJeb1UvvwoPbhU23l14yst0zMbNWya2R934l7ibAbzDVtJeMZcTuC5gEYG8Xo\nCAQlbWomN1SLTWKcby7fDcn8S0OijTeUQ7f68K3oopJ3QugCxi4hdA1Cp1llWkkLZjkkSXM7SgYa\nt++P+6UPAZPG7YnbTy8pIfOg2FXinvZJXPW0bYoeGXJ9huuDhAQ4nDhfxDYKbBekzSVpl9p2whzj\nNfPIFrJ+UDbsGlFbHaibRAhzsrY63HlK1Bx0tjDqBFDEbNGM/XvuniaX4pFBZvvVh80dJOZDxyCL\nqLbnKf9dpynAXBowRMzIOadPipU2JWwkAbdYcWhqK8tBAzXlXHVuq7TVssYfbH5ixkANB+xsWsrG\nfRxqH1snHbFSfwiyZhIx7yVPznG+b+ybGsVpA5CSBjUQjPoNQsY+CqBtFg3QJb7lhoCOkHYB3DFI\n65YkIWPWSk2cMKUmY5Df77Q+6nmGXU/MS6USNtvycavbZP6gKz6NvHuH4Q1lFcvlqkZfX8W2kkAV\n29fxElnaP127Bl66hr1E1H6/JGzbamTNyLPrFCZisRVoVNy0UHSfR0Fq9+0gD7mD2AR3BNpZm8Z5\nuND/6VmzokMI3z7WJyMNmCUrpfKY4SZjgQ5wIccE+LiCJBV1MUAO96lO0AbinuvAzlgyQPP8QiYj\nP+qgPjZkrGnY/nnedzlmEonH99n869w9m2EUbhBJ8xWQtQiAeYNq2AHYsQSY6iCxSXIdU6ySzjYG\nKdaRS8X17NFOGM7EfKzu4tjYxmttHr+mNF1hZt6bKSK9Kz22a+3ssHeQgMOUEf+F1/B9KnHX2rfL\nS8qaTsV+ebzcN7L29aX/0RvMC4sYZg/BqjR1mZc4AmJaceck34XTyAfoLD5m4CszRx+tl89/DRdK\n2HMzB1fMHp6Q+RDMZUZ0S7J7oGHU3PfWZs/XNOxjm3+u95W8jw1nGfJwrc6YNAR3T9iOu1MXu2Ql\nS3bmEkylJ8ohTnyUceMwOzP/0TQV0WOa1MwlTYqLKTHXImwcwmYJUrNYIAWu84jQsM3TZKIP7DRz\n4bPvzZibOmomvWPeISXWT8H2zTB9x4RduzBaaF/6HyNoT9Rl6cUTskdMjeQTcjwHs3uPcKvNgGnR\nDaYSdr5+VCIhugwYmuyMNWJealv6wa61DZjAWgZtuqocyyBmR9A8EbTZrPO9GTBXXzK7YxnE5QWX\nWvl1QH1fCXtN/LV7/AIHHk0H+KxhuqKZWTIPThB1Ool5JaTJzGKEbHFKTDvPLrCKfcO9PdqWJsLe\nk0scrMfM6WXJDFJrq5H0Gm8eYNspG7X2gQvlQ3/cGFOZ8T1Tw1HH9tZR4zGM3668BMI+JgmKKtdH\nSdo18Nu+3ezyZShfCNevj+lgS359iEw7x0oDgQF9xETU3t1qC0lXTCKrFgV/jgexmTbWyoOl5gpq\nI+tM2p6wa4De4pdaA/HW4eJDJW0u6v571s4zezfhEKe1fkzJMJJ2ZMGNlJm0oyPiAs+moHglxXKg\n9lCvEyVmC91Q7i8RMy20lRxYwqc85nHbY8L6bL9QQgZM+PYuewcJo0uyvu6o8SbKyPUwfQ8JG5iT\ndgn6mgbixTOgEffC/9jKxwzeoGQdcOCvxH4DcqQ0D7IBQtotT/kjl8i53Ox3aMuPuH2uH/Z58HoQ\n++O2zNyIO/tXa32WeNSPkZfI2gN7y68N4/oAfyiydP01E4ox2cY+mec2biNuFM8uJTlvpMnWPSNs\nt5WBp2zlbxljJ5M260Qn1gm6rK9ZFWpbGbPaY9zvG0nP4loXCon3CDnA9hrOa4Rdw3NZume2it/T\ncX1PCRuYtGlgMqMsAd9/TomkJcJmTCvLAvJCG1sKnBHHmAXo8VrJyJNWYhqI106WiPkYYdcIumzP\nPxIFcL22MUuBpID24SQN4D5oe37xt4B6Dcxbh4y/0QgbqBN1wBy7jHVTyMJ9yPHHlajtM8y7hKwc\nnQLiFY/gcKzHGyXr7CKIiZiNwC3NnldEasRcvnpewy4V1bV9n/x5aSvzMWZ8a90v+ppNnJd4PqaQ\nlPiuYd2Tdvn8gNvC8UuadDz1/BpJL527layVsM0FMAVx2xg9i7LTQPWcxIcaifnG5oUMONSuS6Ku\n7S/x2xL3zbDlwDsjaZ6D2Mf+tWBOPvHoQed9US7Z+Ja06puQ9EMla69gAIejQ8PpmnZdvugLYPBa\ntidyW+5ODmhlMKmRgSEoIQd1GyS3odhcW42cl9oM2zXOWyrV2+oA00bOOSxqge3klBAFlMB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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, when the image is rotated, we can sum $y$ out and get this" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(X_rot.sum(axis=0))\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is how no signal looks like:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(X1.sum(axis=0))\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So maybe we can subtract this from our processed data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "base = X1.sum(axis=0)\n", "\n", "plt.plot(X_rot.sum(axis=0) - base)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "s = X_rot.sum(axis=0) - base\n", "f = np.fft.fft(s)\n", "fabs = np.abs(np.fft.fftshift(f))\n", "fabs = fabs / fabs.max()\n", "\n", "plt.plot(fabs[7:])\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what happens with other images" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for idx, img in enumerate([X1, X2, X3, X4]):\n", " print 'data set #', idx\n", " \n", " df = pd.DataFrame(img)\n", " stacked = pd.DataFrame(df.stack())\n", " stacked.reset_index(inplace=True)\n", " stacked.columns = ('y', 'x', 'v')\n", " filtered = stacked[stacked.v >= th]\n", " X = filtered[['x', 'y']].values\n", " X_cent = X - X.mean(axis=0)\n", " _, _, V = np.linalg.svd(X_cent)\n", " v = V[0, :]\n", " \n", " plt.subplot(1, 2, 1)\n", " plt.imshow(img)\n", " plt.quiver([6], [6], v[0], v[1],\n", " angles='xy',scale_units='xy',scale=0.4)\n", "\n", " plt.subplot(1, 2, 2)\n", " deg = 180 * np.arccos(v[0]) / np.pi\n", "\n", " if abs(deg) > 1e-6:\n", " X_rot = ndimage.rotate(img, deg, reshape=False)\n", " else:\n", " X_rot = img\n", "\n", " plt.title('rotated by %d C' % deg)\n", " plt.imshow(X_rot)\n", " plt.show()\n", "\n", " \n", " plt.subplot(2, 1, 1)\n", " s = X_rot.sum(axis=0) - base\n", " plt.title('1d signal, time')\n", " plt.plot(s)\n", " plt.xticks([])\n", " \n", " plt.subplot(2, 1, 2)\n", " f = np.fft.fft(s)\n", " fabs = np.abs(np.fft.fftshift(f))\n", " fabs = fabs / fabs.max()\n", " plt.title('1d signal, frequency')\n", " plt.plot(fabs)\n", " plt.xticks([])\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "data set # 0\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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hACCi3wHgi8tQl9T+HNgTtA+yuX1QNH1FEWjMgbZaiEYgc6s0LXeCeqXDmzq3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\nYxr2NwD48wDeaOq+FMD3MfNXEdEf0u0vLX/8lIu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3Ty0BPekC3gXmQQuRY7DrVTbqMapV/N8UmWyMn+CczxMH0gSC4oDZ2P1R1/CF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\n/9X8GU5d0Llwl4dT96um+021HTgNdJ0y1NGmQaW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a9KHfGvx4QiKvoaobVbVpqhJ7IPQ6BkH32TXAM2HH4hIn7uSuqp8DpS3D/rPW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\nlnvqzZkDbdrAuHFw5JFhR+M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3VL/TclFSXxyHmkmdLsecIh+XQ5FvOPG428nK9sr2U2b7rhr2zwN+DfCPReRbctmXqOrf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\nhaBoFnokHRlWfi6+E8osr3o86sHJ+0k8p4HcpD7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kQBkyxN68rrkGOnWCvDwL+M6VV9rUUBURTZe+uPTUqhX06AHnnWeB77TT4Oyz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\n/gVnnmmB/emnffrFxVa1Klx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"text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "data set # 3\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tw2xzAXUBrFwi5sdWlwiBdZpQLOwBMw44YsS0qhNy+4ypjdjFoiDgRAHNbVKC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HhQth5crSk3deXtkJu/i27772l2lpSiqz5zVUXVZatMha7r/6FQwdWvZ/EOfK67vv4NNP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\nepsZ5FxleHJ3aW/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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like spectrum of the 1d signal might be a good feature. Since we don't have much data, we may use just 1st and 3rd amplitudes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def extract_features(img, th, base):\n", " df = pd.DataFrame(img)\n", " stacked = pd.DataFrame(df.stack())\n", " stacked.reset_index(inplace=True)\n", " stacked.columns = ('y', 'x', 'v')\n", " filtered = stacked[stacked.v >= th]\n", " X = filtered[['x', 'y']].values\n", " X_cent = X - X.mean(axis=0)\n", " _, _, V = np.linalg.svd(X_cent)\n", " v = V[0, :]\n", "\n", " deg = 180 * np.arccos(v[0]) / np.pi\n", "\n", " if abs(deg) > 1e-6:\n", " X_rot = ndimage.rotate(img, deg, reshape=False)\n", " else:\n", " X_rot = img\n", "\n", " s = X_rot.sum(axis=0) - base\n", " f = np.fft.fft(s)\n", " fabs = np.abs(np.fft.fftshift(f))\n", " fabs = fabs / fabs.max()\n", " return fabs[[6, 8]]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "f2 = extract_features(X2, th, base)\n", "f3 = extract_features(X3, th, base)\n", "f4 = extract_features(X4, th, base)\n", "\n", "F = np.array([f2, f3, f4])\n", "print F\n", "\n", "plt.scatter(F[:, 0], F[:, 1], c=['white', 'black', 'black'])\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 0.81180072 0.45749437]\n", " [ 0.54543749 0.26524667]\n", " [ 0.47091471 0.25209055]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 } ], "metadata": {} } ] }