{"worksheets": [{"metadata": {}, "cells": [{"cell_type": "code", "input": ["import numpy as np\n", "import matplotlib.pyplot as pt"], "collapsed": false, "metadata": {}, "prompt_number": 32, "outputs": [], "language": "python"}, {"cell_type": "code", "input": ["from PIL import Image\n", "\n", "with Image.open(\"andreas.jpeg\").resize((500,500)) as img:\n", " rgb_img = np.array(img)\n", "rgb_img.shape"], "collapsed": false, "metadata": {}, "prompt_number": 33, "outputs": [{"metadata": {}, "text": ["(500, 500, 3)"], "prompt_number": 33, "output_type": "pyout"}], "language": "python"}, {"cell_type": "code", "input": ["img = np.sum(rgb_img, axis=-1)"], "collapsed": false, "metadata": {}, "prompt_number": 34, "outputs": [], "language": "python"}, {"cell_type": "code", "input": ["pt.imshow(img, cmap=\"gray\")"], "collapsed": false, "metadata": {}, "prompt_number": 35, "outputs": [{"metadata": {}, "text": [""], "prompt_number": 35, "output_type": "pyout"}, {"metadata": {}, "png": 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VaJNAZFYlCAJDMY1GA+PxGLFYDJubm1hbW0MQnJGzTOnmcjlUq1VsbW1hb28P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NAAAg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\ngg==\n", "text": [""], "output_type": "display_data"}], "language": "python"}, {"cell_type": "code", "input": ["u, sigma, vt = np.linalg.svd(img)\n", "sigma\n", "\n", "pt.plot(sigma)"], "collapsed": false, "metadata": {}, "prompt_number": 36, "outputs": [{"metadata": {}, "text": ["[]"], "prompt_number": 36, "output_type": "pyout"}, {"metadata": {}, "png": 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"text": [""], "output_type": "display_data"}], "language": "python"}, {"cell_type": "code", "input": ["\n", "compressed_img = (\n", " sigma[0] * np.outer(u[:, 0], vt[0])\n", " )\n", "\n", "pt.imshow(compressed_img, cmap=\"gray\")"], "collapsed": false, "metadata": {}, "prompt_number": 45, "outputs": [{"metadata": {}, "text": [""], "prompt_number": 45, "output_type": "pyout"}, {"metadata": {}, "png": 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/YzOJGHSdgyqxw8a3On0W5TLACdKFxuqBL7fQpAOoD/ooSGTRVnmxEauTa2Rn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\nGZDywl8GKEGVrbhFYi7vxk31ygAX9d3UkRfMdSrFmQ8/3BX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"text": [""], "output_type": "display_data"}], "language": "python"}, {"cell_type": "code", "input": [], "collapsed": false, "metadata": {}, "prompt_number": 37, "outputs": [], "language": "python"}]}], "metadata": {"signature": "sha256:c888450f4edcbfef68f0541458bf11bcdbcb4dc7682f556ac302a60d85653dfd", "name": ""}, "nbformat": 3, "nbformat_minor": 0}