{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "from gabor_fit import fit\n", "import theano" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jesse/Development/Theano/theano/gof/cc.py:944: UserWarning: Your g++ compiler fails to compile OpenMP code. We know this happen with some version of the EPD mingw compiler and LLVM compiler on Mac OS X. We disable openmp everywhere in Theano. To remove this warning set the theano flags `openmp` to False.\n", " ret += x.c_compile_args()\n" ] } ], "source": [ "gf = fit.GaborFit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 15. 15. 1.57079637 0. 1.07130682\n", " 2.71828175 2.71828175]\n" ] } ], "source": [ "# x, y, theta, phi, lkx, lvx, lvy\n", "params = np.array([15., 15., np.pi/2., 0., 2.*np.pi/2.8284271247461903 / 2., 1., 1.])\n", "print(fit.standardize_params(params))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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B/gX4tWG24zf8pEL5DT+pUIZfKpThlwpl+KVCGX6pUIZfKpThlwpl+KVC/R+75s7RH+YO\nYAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gs = gf.make_gabor(params, 32, 32)\n", "plt.imshow(np.squeeze(gs), cmap='gray')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "_, pp, se = gf.fit(gs)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.49999952e+01 1.50000067e+01 1.57079875e+00 -8.10419897e-06\n", " 1.11072052e+00 1.00000024e+00 1.00000000e+00]\n" ] } ], "source": [ "pp = fit.combine_params(*pp)\n", "print(pp)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 15. 15. 1.57079633 0. 1.11072073 1. 1. ]\n" ] } ], "source": [ "print(params)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 2.60572328e-11])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "se" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gs = gf.make_gabor(pp, 32, 32)\n", "plt.imshow(np.squeeze(gs), cmap='gray')\n", "plt.axis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Noise" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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AbbpiSV6WRGbmhaVLlxpNP6dTTz3VxNxzzz1GY8+JGbt0S7TFixebmAsusCcZ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\nRMGvbcsALE396ZgN8wfQBAX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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nse = []\n", "fse = []\n", "rse = []\n", "\n", "for std in np.logspace(-6, 0, 10):\n", " gsp = gs + np.random.randn(*gs.shape) * std\n", " gsp = gsp / np.sqrt(np.square(gsp).sum())\n", " f, (ax0, ax1) = plt.subplots(1, 2)\n", " ax0.imshow(np.squeeze(gsp), cmap='gray')\n", " nse.append(np.square(gsp-gs).sum())\n", " _, pp, se = gf.fit(gsp)\n", " pp = fit.combine_params(*pp)\n", " gspp = gf.make_gabor(pp, 32, 32)\n", " ax1.imshow(np.squeeze(gspp), cmap='gray')\n", " rse.append(np.square(gspp-gs).sum())\n", " fse.append(se)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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H56jiMPXse7mg5wMkFk0IOpmInEBWh6qWhP/9LpfXOReoE74yayNwHdArl9ch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\nBDneMrNBZvaNma0xsx7h6WZ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Qvp7dUdlmy5FzPDB+HSX8fZkytA3VdSW4V3FljGOIJwJRqkBKS4Alb8G6L6FY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\nOMzMrMovoFja2WhY/nsAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(nse, fse, label='fit')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.plot([min(nse), max(nse)], [min(nse), max(nse)], label='x=y')\n", "plt.xlabel('added noise squared-error')\n", "plt.ylabel('fit squared-error')\n", "plt.legend()\n", "\n", "plt.figure()\n", "plt.plot(nse, rse, label='recovery')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.plot([min(nse), max(nse)], [min(nse), max(nse)], label='x=y')\n", "plt.xlabel('added noise squared-error')\n", "plt.ylabel('recovery squared-error')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "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": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 2 }