{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as pt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from PIL import Image\n", "\n", "rgb_img = np.array(Image.open(\"andreas.jpeg\").resize((500,500)))\n", "rgb_img.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "(500, 500, 3)" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "img = sum(rgb_img, axis=-1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(img, cmap=\"gray\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ 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qbWgKvx9hVrMH43kcr+tzljg8eK+uuB7zlgU91VrQ8moVFN7HUwbmeX5CuEA0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\nhi2fzwcEgfvR2tqq5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DvvvFPHjh3T8ePHwz4g8BHlclkNDQ2hRBvWHBiN4jADOA/B2oPx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\n7rsvzp07F6+//nqcPHky39cI2E6VubRBAbUisyDk8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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "u, sigma, vt = svd(img)\n", "sigma\n", "\n", "pt.plot(sigma)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "reduced_sigma = sigma.copy()\n", "reduced_sigma[10:] = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(np.dot(np.dot(u,np.diag(reduced_sigma)),vt), cmap=\"gray\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fzOLGx6Xmakun06lXTOq4QITjwRDCPS3DO/6usIEy5oyWrifbEDhI9pKR5JI5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