{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Natural Images Statistics\n", "=========================\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This numerical tour studies the statistics of natural images and their multiscale decomposition."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n", "[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n"], "output_type": "display_data"}], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/coding_3_natural_images')"]}, {"source": ["Histogram of Images and Equalization\n", "------------------------------------\n", "The histogram of an image describes its gray-level repartition.\n", "\n", "\n", "Load two images."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;\n", "M1 = rescale( load_image('boat', n) );\n", "M2 = rescale( load_image('lena', n) );"]}, {"source": ["Display the images and its histograms."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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V10XlK4q3KI9H2yuzWcUTi9h1GYI1KESW5ebmZur6ghkSfiDaI24zrZYyCkFo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hlk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\nEQETBEEQWpL/BbIzBCE4FqEZAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "subplot(2,2,1);\n", "imageplot(M1);\n", "subplot(2,2,2);\n", "[h,t] = hist(M1(:), 60);\n", "bar(t, h/sum(h));\n", "axis('square');\n", "subplot(2,2,3);\n", "imageplot(M2);\n", "subplot(2,2,4);\n", "[h,t] = hist(M2(:), 60);\n", "bar(t, h/sum(h));\n", "axis('square');"]}, {"source": ["__Exercise 1__\n", "\n", "Histogram equalization is an orthogonal projector that maps the values\n", "of one signal onto the values of the other signal. This is achieved by\n", "assiging the sorted of ont signal to the sorted values of the other\n", "signla. Implement this for the two images."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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MxTH4E3WE2ZZBv8+W49AalUYFlNLJN2KFdFTKYtU5Eq08MYPETxpr+ruoF4kQ\n6uzZs/fdd5+xBsRBKcAJZfAXa7eZ7RPQ8+XtQPVgASOQgqsYa/uRqMHGc5C9Jb1AuYiBNZ6KC4xW\nTaxpOjg+w1Z8kmklvm4oZSS+dnd3B4PBysrKnXfeubGxcfToUTPOfWCi7g4K+4icfKtTW9TCGYvF\nl9KBe/SKkFKDPkUkgeQesm0YYxhbgxCRnkLRERq/0+mQD+krQTdQ0jmiAQQQkBCS4MG4E5UTERmN\nRkhUgncK8oht22TvJkeUHybW8El6hxDpQAeBDgaDbrdbrVaNVSeDcwMbwAxkpDM/RRe+TUqiJ8qN\nY5AG9DzvyJEjYjF4cS94X2gCw5BihnGdTgc0wpGOOkOIlug+A+VymU4zQkAwGLmUoihCeUxEcCgo\nw8Fg0Gw2u93u1atXr127liTJiRMngiCYn5+Hm3IjZfXHw60fgWE1UuPTMNBIQO4TTR4mWlvyLfYB\nISJ0PPlXhmU4MrNzxsq/MVATqyWFKt7+pG07uUjogvEUsRbVGZ8xzhOLjsErZ/xEXc/B+b41Kg2f\nWV5evvfee/e1cxpt0qS1sw/LmM+zUpR4sDQt+3xMPnNPC9e8MM9q7mZ0GOsWFbRStEaeReKw7z1Q\nkpvs5fKw4ogvnj9/vtvtnj179tvf/nahUAjD8OjRozzCdZPN6wvIBh6XPcMw1jZBFlnht0GkUd3B\nu+PIKFo4dDQzKGG9UHRGEWxAoq2ydM5s6i9tZxAEhUJhpIMHuS5Ek3UYv8sKKwQSJg3fQqkSHh7M\nXqwEK1/zw0i4hdoLjGBOdMDVYDAolUo7OzvwOJeXlzHXmIlWJEVBJsSCxXODbUbqlU8MnJEgCJBi\n5SgNbsoDWxVbo3tLpVKko5MxnhjlrkSr5p7nNRoNNMlBvBE+ss6HJYmfcWpcNo7peV6hUIis7TJg\n//CZlZWVZrO5vLy8vb2NAifTm2mdtX8z49Y3YKIVKbG4sJBCT0cCUuUF2k5LAWIzlmiKHH+CGLEG\ngDVje/ex0j2YPbNjOAYuXBJ2SkeUzcVwCuB1Utfb/02UzpBYg4DF2rrMsxKAsfLv+ZtEpzeFYbi7\nu1soFLC5JRZ/ohPSaAaMRQtkLsXO14lVzSZo8vlIvb31MDwfzCKh9mTySrRDlgfEcZAb4VsLtVHJ\n25sr5jti2AEP9NSpU9PT04899lixWFxaWkLWl2ccU8TWOEq8Pig++vuwBISvFE24aKghUebFIuOh\nZCIi0OmeJiERFeEJY1i7KFFetLOCLVn4MKI0ioHovBU7S9J6150AACAASURBVEE3CLlN1m9EhD1b\nyIkl1pABGjPcCGSYXESo71iHaExPT6P2ORgMZmdn19bWRMQYQyYh7pSZT1bs8GS4eUqSJJiXwSjQ\n084wm9vFtwNDgtspFoupVKpWq2HV4F2AAhrpFIJOpyNWqyIiPNYykBuMdT4yFEtKJ2EmSZLNZhEx\nJ0kCo5XL5U6ePPnud787k8ns7OxgGzbwOPj8b2bc+ilEvFcWS/DuKd92Jo2xl7G2D/asYo9oCgIf\ng41J9m7MYXTaoWhmjyaTqtxoYn1fijLQbpLQGmtGrc2qktFNFnyrgEel7On8UNtk8voTi6/BuMc2\nbPjw5ORkogxpX5nxtvXitfGX1FNiGUWxZhXaq06UY8JkJl+TaMDHzBWOCeuINgNjUTGNkhtJDQiU\nPmA7CjgdvEucHWX/arU6Go1Q1AmC4L777jtz5gxiFNRU9vkQYwTIJzzulO5QyvBLLMeOzpYxBkFJ\noMyLkc4vt0syqVSKO4clOls5k8nU63VQLZIkGVobFosI5kqg5IPjeBa5lANqkanzLTDxaHT6Njpw\nAy33Yl0zCY9QCY3SdGLwAzcAg6yScJ9YzS3ZbHZ1dRU3iweSz+eZHkQM52t/lYjQ02IWEZlGek6w\nmohs7FA10L5y2BV0i8NYjnQ4Id4L0om9Xg8+AQ6CcLNcLjcaDXwLtcZE54mPdG8XPHNQH4fDIeK8\nUql08uTJVquFdCU+0Gw2kaH1dG7ADZfZt4xxXZxvHikdfwnPC20Qnia48O8+JWubE8/KJYq6kzQG\nlF2xJv55ngcPCOaBzR/8GP3ZRLfjSjTBiAVPo8VT21ZWrD4wfp5xj2c1/zOU9LROLroA7OuXvYXA\nJEmazWYURZjfKkr0MtaUEADEKqNb9/L3ojaVdxHq3lF8L74mM/FJtrMwCPatCX6MEfnuGMMZ5UmL\nDoo0WriyaQj8Pe663W63Wi3MX/A8D4RjEcnlcoVCYWlpCQxmby+TZbwQWttQFQoFTPzzPA/2w1dK\nQqyUJbG61zlrKlBA23oWA4jZBQgJDE+j0eDGNPgK+Yee5mNhBTFlW6xZtEbHw9PDC5Q4aleyjbXl\nrKgAhNo1BcKI3e9lGxtcJIgnKR14HemYXQSIBw4cGI1GCLkYePEUkEyYYYSzSFHSm2Tsjlw0LinU\nxht4t3gLnmbFjQ4B4WFZsGSeA4Gd6PYrIpIkCWfxYARXkiQY04VQ2w528YFWq7W+vr6+vs4E5pEj\nR/BMjDGZTObMmTMgIvJ2bnLc+gZMtNke8kQrYkcVvu+TeGOUrYB1a3SfjsRiVcRWr5jNfWcxzNMO\naF8Hc4gaCUZORjOHtCg8pn18ZkVon3yLcChWFpHr5+LFi6G1azjjISLZy+bYF0sNh8MrV67g2oK9\n5Staceaa8DMfplgJVT5AmmQaP9E0CHVQshf2A0l0m13biPJVBtooSmOP1UuvJbZma+F9oS10enoa\nhR8RAXNseXl5YWEhk8msra1hwNj4hl+iNqNQKIBgRk8CcQYiiWKxODMzMzk5CW4bg7BQuYsIQ3E0\ncsGTJEmn0+j6h33C24GNgfHjCzLGYEIHxllBvyNzSKZ7qER8KG6+ZXtoPU0pMx++TqLB13O53PPP\nPw8eRKzTDhOrbcb3fXQ+ibVpCJSDiEC/7+zsIBuJZcuwhifFX/GUmEfNKlAw4wNnepPZFyZIGdxz\nxExGNxelXkKqvN1uI3MAs4rUa6vVYk2OlrXdbkO84zgmiYNWH5W/ubm5U6dOdbtd/DeKok6n88wz\nz0A2sP9OpVIJx4GCKD8LKURocA5roAr2daYZvKFIZyMxm4wSF90T3yK+Y+VAerAOuVpEJJvNlsvl\ner0OWafT6ivLQFS5MJ2V0tlI9pH5Gdotep10jmiK8JXhcPiv//qv6+vr09PTDzzwALi2U1NTxWJx\npGOwGTL6VnuyfVUsEtxxxx0jHW3M0oJYFBLmcBgY4bJTOibD04275A2T/u2KoLFajsTKQPra0mCU\nzUXHn+bZWPu6iaZnjUXIhEXEzXKgIn+DWUe+72MSEl4otquHQzO+NgwZJ7QYM1tVrVbxrpH7Qo0H\nFZ2JiQkEBCISRVG9XsdWxSyijHRILiIn5K8KhQJCuuFwODk5WSwWNzY26L7QRQiCIJ/PR9aAQbwO\nT1kegZLufN21C6EGRYgSwnAcKxeGs9PpXLhw4dKlS8vLy0ePHoXJOXHiBDp/PSXBRzp+l+4OvSWs\nfVzn7bffjlAGg0gCaydVJh4xpivRThJMu4AtxHHwAbFKCb610zGCfluxICSNdRwdpz5Wq1WIK5YA\nTooMgZ2JJcOWzitj62vXrsGP8bT4PRwOQRjJZDITExMTExOZTGZzc7PT6WBsGzJVN1pk3zrGdXG+\nebBDkBZLdCKLiIDbapTTgcVAd9WzGmV8pV3RYHhWVSyxaFcUVrEmh8reJjP+htEekwzGarI2Fo07\n0V6oWLtncMEgSUMWU6nU7OysMWZ2dvaOO+44ceJEpVJZX19fWlqCpua92BkY0Rob/OIgCB599NFG\no+Fbu3PRuiQWH5JPjDEW7VZiTWg1mr20bcm+RyS6OwwvydcGMl97aWNtFdoXqvK/oc4fMTo9iw4E\nUii0eUgi+RZzzFjceqN1NRracURaMT8/jweYyWRmZ2ehAfP5/Pz8fKzTNNAJWy6XOWsD9ibSkSss\nipD9BCpHFEXdbhfsPrg+aZ2IbUtFqLtZMuRFgq5cLiM5hsoZyCNi1YlFhOnBROvN4P5hgm0qlapU\nKtls9vXXX0e09+CDD95xxx3VavXs2bMvv/zy7u4uXEkYctZ9IQ84Mna8TKVSi4uLiRIuYJhTOmOa\nBVoKGKaHMIhMtIsfthl0CfDyQd9g5hZFRGoDOMpcJqBBjnQzs93dXdRoyRpLlNISaB9ILpfDeROd\nlkJj32g0FhYWjJJ1B4NBu91G9wLJSilrXyf2q+3j+NycCL74xS++3ddwfXHp0iVmIdjHR71GnSVW\nWMNwKtDaGBzDSEdQi4ZintaQPIuegCNgudo2g39i4MLwhaBzGunuPiMdKUt1wLAgUMqsKCc4CIJK\npXLmzJlWq/X444/D25qZmUmlUru7u1euXEGwyBo4tb+IxHE8Nze3vb19+PDhdDqNXEpobcEnVuBo\n/yB7mYFMJdEy8a7xM58JLwDM7MBqMOd6s80nHczYGlYZ7219pX9NfSraTu5p52aiLHzU6j3NymIZ\nr66uhmG4vr5+7NgxvOITJ05cJ+G8rnj66ad5++BqMycMoxVFEXu3jdYCjdK+ocWwcwd4FghJ7Rgd\n7x0Hx39zuVyr1YLkQwOmdH4Y9nyIoghnT6VShUKhUqlgypevQwJFp/Zx2Y50N+FAG9gzmQx6ePGC\nSqVSOp2+fPkyYsQ777wT6/HYsWO+729vb1+5cgUOGeZQGG2CxoPq9XoPP/zwxYsX3/e+9+FPg8Eg\nl8uldO8C5vk9LQ3Q2Pi+32q1RJ05pFW5VJGttRVLou1csME7OzvFYtGzGJg4LFOFXKGwUvbKgvlE\nnI2EIbQBHheG04sIZgFjLQ91U2Y26bdarXw+D2/m8uXLQRC8853vDLTD5JFHHrlBwvrj4tY3YK+/\n/npgtdlDvEj7DnWOQ2hNiBE1EjAqYMGGYYgFzKWLL7IAllidXtjvINLhubQB/l6uo9HJ9/CU2YeB\ncAqiDA1rLEKHp2OTUqlUuVxOp9MQQWQhJiYmcrncxMTESy+9dNttt6V0PGOhUJifn5+YmIA/2+v1\narXa2toatqXAiWZmZmq1GlIKW1tbrIWINZ5K1MCIxluh1Xole0mPuFPbCDFvQzJ3rKPtQt12T6z5\nI3QjGDKK7spIO8eoiw9KtGbD1ulEp88xVkbkSo8B1xZFEax4u90+fPgwrm1MDdjp06eREOt0Oul0\nGq2saNEdjUZTU1Nzc3OZTAaSUygUQBQ8cuRIHMdgfKDGk8/np6enUTaDeKOmhUUEswSPzfM8bIbC\n2hU9EjxbVpuQeEyn06VSCROMSqXS9PQ0J1QZ3dwVnDqYXt/3i8ViNpudnp5eXFwslUqLi4uTk5NB\nEGxubn7+858/f/58sVj8wAc+sL29jQ3MMCHpyJEj8/PzMAmNRmN1dXV1dbVerw8Gg2KxmMlk7rnn\nnr/6q7964oknTp06denSpW63iw2mYYqwp1qiG1mIVRGMtR1FdKv0WPtVRKcowHnylIWE55zo3tZ4\nhr1eD04DM0agTZJ5H+voLPabM/yyFxeurdlsYo8YMBt9JUOmdMowdCAumATRycnJjY0NpIVx9ocf\nfviGiuxbx61fA7NjJs/ayyqwRjTx9UOAbBGEfsQrZy3XWDx7akwAKxkSCfmmVPHUDCP2JUbo3jJ5\nzWgDxATR6p1dzfYVQRBcvnz5wQcf/MEPfnDfffcdO3YMiyGxWML8AeppYWGh2+12Op319XUYiY2N\njcXFxVardfz48c3NTebcaDtpKngxdhhqB0mhstRosJniC639uhj+Rjrk2xgDVxG+PGozPGxszRem\nDYusKYuJMjjAAePzRAbG14IoVaRY8bSIgEEKFeyNAxHrfwPkxxhTLpeRcMNTxfYZiJBIgtjZ2Tl0\n6FCz2QTtHjeOFBP4qIVCAaFYLpfjjuFhGHJPE1SYYCbRUOVrDZJJRTh24HbPzMwg6B8MBpOTkzs7\nO0EQdDodhBQY+As5wUJL68zlbDY7MTGBYxaLxXK5PDU19c1vfjOfz6+srCwsLJw4ceLy5cuIBSFv\nMBV43ZiWJCKNRmN3d/fcuXOe7nOWy+WWlpYQG9mRvV3TZS0ZdHMQRjxlD8HGB7qZS2RNUcDXYQtD\npfvDJuEBovKHhOelS5cKhcKhQ4eMbqyK44NHzdEhSCmJ7jSG1dHr9XK5XLVajbXxH5nMQOmUiTKq\nRGeZ+r5fKBSWl5d935+enmYV7W2R27eEW9+AedaodThEvlW5FU3Qj6wd6L2906E8azfFfSUBJhlY\n1KECZRLGs1iCdkkAWtjoUNqUNRYB32VMgOVBZrOnLWie562vrx84cCDUjTdhxu69995vfetbjz/+\neJIkKN42m03aTt41dBAsGTYbPHTo0M7OzrPPPttutw8ePIhdiDzdElBEEJNx5gJtj9GxTBjjTVqK\nnV7H6mUYiuWHHizEwdwmytPc49bWVqfTqVar9957L2swRmnTDJuYj8VDQDUlUMJboLNcEfbxUkXH\nvIYWXw6MskuXLpVKJb7cGyarP3Ugm3To0KEkSXZ3d0Gn7vf7k5OTaAkql8u1Wq1cLs/PzyMkEhEk\nEpGV2t7eRnkM0c9gMEA6EYobPgc0PiwZ1hqHtSNdhhBQdFRSGIblchnCmSTJgQMHRGRhYQH5N/Yw\nIBQIgqDdbvPCYDbCMHzqqafe8573QCA97fxdWFi4cOHCP/7jP1YqlampKUiXaJQvuocyJBCWDCSs\nj3/841/96lf/5E/+pNfrHT58uNFo2L4UC6UgViD5IboSYWByuRysBan8u7u7WCOo6iW6gTJIsDs7\nOzCrYRjCk2DDD8LE0Wh04sSJOI7b7TY5jXbUJcqeZTGMrY29Xo8dk1h0CJrRGOPpCBK0uIky8k+e\nPHn16tWLFy8eO3YMfsPbI7VvBbe+AWOw7CuVDiaBIkgvPtGZOoE1ZIiOmK+cDiZPRFkJdvQgVjMN\nBJ1ph1g7bUUzmZ7OawmVCBtr/1lap9WJjoFHMAFdL+pALSws8EqiKFpcXByNRgcPHvy93/u9v/zL\nv3zf+96HKEREoHpGOsyb5hNfZ5PcxMTE4cOHV1ZWXn311ZMnT7JByt/bDc0LEG18YbKeUVek+3+y\nyhJq0xhjQZwUOggj3bCSGdV973vfK5fL99xzDzNLojbMV9IjcvpcqwiX+SfoFES6yKLEVj84PhNa\n2+hAJ+ZyuVqtVqlU7PB6vGCMKRQK4AsY7dXrdDoTExNIkUGMq9UqiNrb29sTExORdgRD3+FjBw8e\nxLZS5XIZqcJ0Or27u4uzYBQh2957vd7s7CwmFjJSh+yltKN2amoKPhz5BUmSlMvlTCZz77334j0G\nQbC2ttbv97EhSCaTqVQqSJiXy+WPfOQjkHkQx5944gncy6//+q8/9dRTv/3bvz0zM7O4uHjx4sVG\no7G1tUWvK7EYSaLlrnQ6/dGPfvQDH/jAk08+efbs2ePHjx84cIA7yJC6xcieHQWYo88SLJxdYwye\nW7vdzuVyMB5M4UBpHD58GK366B2GcKK3YWVlxfO8F1988W/+5m8+/elPc4tnEel2u1ggsE8ItqIo\najaboLQYZSl3u13on2q1imIbuh45ggvCEOgAoCiKsMWl53nnz58/fPhwOA5M+nFdnG8enlahmARj\npo4K1+i+DIyQPAuMukS5EkaZAlS1Ke2aAmA2fG3LRaELtgc/+75PljbkzLO4jr5yC/HhlPZfY6X5\nOuSNx6cupoW4/fbboyh66aWXcGQkXsiOheZC2iFRgnIURWtra0jv5PP5AwcOkMPCR8RwJNJO0mTv\nriuJ1q5h0WOL+gz42ubJ4CnQjm9718Q4jrvdLjQvei0THetnp/XsEyFGRL3BaOlCtA5B/rRRiiMF\nw1hVNyxvBCuvvvoqko03TFZ/uvA8Dx43PX3cdavVwlvrdDqQgampKUQ2MDm+7rKBP+ErqVRqbm4u\njuNqtQqXCIKNGhJyiRBUMPXBs6hUKpDbcrlcrVYhwEePHsXcJrTiQSRgJKBPUcT1fX9ubu7QoUOl\nUml+fn5agXartO6eg9c9NTUlIkEQfPKTn/Q871//9V/R8jU/Pz87O1utVsvlMncY6XQ6yBNAQgaD\nwXe+8x3f91ut1szMDCghJPXFFo12OBzioYm6lSh1J8pFZPEPjVZkbMEej3QgJH5O6TT6drsNs4eI\n6syZM5gu/d73vheDNpB4RDDK94tMQ7vdBlmDHQU7OzvklSDghoeX6NiaQPs1jbUhXxAE2BYujuNL\nly6xYe4mxxjY2J8Q9OWZO6KdIMEv0ZncZu9uwonuzZpo4xEjs0S7wXwldNhBmKgjj4AAylq0+sUa\nDPkg1K1U0JwH41nta6IpTV9He9AGM1+HbAkKsGhHA9GLJVzYaXSBGKVjgVYeBMG1a9fq9fqpU6fa\n7fbq6uo73/lOT+kYsTWBlNk82ziJRSCMdZN4XDZLYozeGNoyqKJfjJ9fe+21w4cP33777RMTE4m1\nLRPSOL4OysJrarfbcO1FBFkjxs2x7kNBi+tpAYxlAFwYAl80+uCqVlZWoBnHEYluHCUimUwGU88R\nXcVK4+x2u1NTU3EcN5vNqampWq02OTkZx/FoNEInHLa0RzAUBAGi20wmg45XrCZUreh7bW1tHTx4\nEKmtYrG4s7ODNzU1NdVut4vFIoYtFQoFSGxgTVP0PA/WkSODWY9BvALPL1CGPW4KF58kCYKh0WhU\nLpe/973vvf/978c1TE9Pv/baa6VSaXV1FYEOLglhIqKoL37xi+l0+pd/+Zcrlcorr7zyrne9i64h\n7gveACgPFHLqBNwv9Ql3T0VhDI5CKpWCVYvjmOWrfr+f0n0soYjW19fvuuuuRqOBLjQuCjxzZBp8\n5cWAHYrSF2ppeEpI5KBGgCw94ulYxx9DSJDARBmyXq97Wub4/ve/v7i4eOOF9q3i1jdgiVZQE6Wf\n0Wb41rTAke7ByPJJZO2AxziDFRpPN5diEtnX4evIAzDzgLWHRW6sumisvcAkdDBYESXaeboFO/SO\nvIGPHui0dfiP6HkUkeFw+Bu/8Rtf+MIXfu7nfm40Gn3mM58Rreoj1gE9iVlKFPmPHz/ebDbh6E1O\nTkK1GWWsYK2G1ubOorsWMfNJ8yA6YchoE3dsTVn1rU1BE2smva9bTz355JMrKyuf+9zndnZ2fN8/\nceIECYpQBAwfaZVRAEisQhdPAd+WGUh4G8wfinowoQ79g44IguA//uM/PvvZz15nCb1eoOSjjgI7\nFOpopU6nE8dxuVze3t5OkqRUKuEzV65cwegp7FiPVwYlS+5us9ksFou+ctuQ/TPGgPX61a9+9ejR\no5CZZrM5OzsLt0C0XNput/EGS6USPUJ6kMxrXbt2DfEc8tiYz+lZtEbP85CdW11dPX78OO+63W5/\n73vfW19fX1xcPHHihOd5+Xy+VCqhMre9vd3r9eDl4CCzs7Mf//jHR6NRvV5fXV0F+5RRCwu3HEpC\ny4RHlEqlUL1LdFgwjBxscKjbhTPPAYUAnYPnkOi2bbVa7emnn56dncWMaTx/RFpGa2Ac9o+gGSkT\nbLkCSw+vF7fAuAqHQmAH1cRwMNQJYdw4TUTOnDlz9913vx1i+9YwBkHiTwg6SihK0W2Xvc2SEGV6\npnaJJVbutVidxYnuVCk6TiLQvYhgJ0SFw9f9fxn9iBa98Et+zL4wBjShRaFkrEB1T7EOdIxhoFs6\nIaVw6dKle+65B34fQxwaXfuB4KTIAsHcoi5tB0aeVvvE2ikUXBVad9HyGG1MYhXPGLQxqLL/hLM8\n88wza2trd9xxx0svvTQ1NfXQQw+hDRkvwuh2EtEbxjog9GTaB1YTQIjpae+5XaCmv4KvXL16FbHC\nxsbGsWPHtra2rr+QXhdwVlOhUJiYmEDeDOKEnXmRx2NGGvGZ7/sgCpJwuL29DbWIVqrRaHTkyBFY\nL7RwlUolkLDz+TyS5LB2cRxPTk4yroKmxjaMmLfE4rQdrAfaSI7vMjfOdccUSKI7Uhot/MDkHD58\n2Pf9Wq32rW99i7QFeoeeFgWQteMAi0qlUi6XZ2Zmoigql8sgZAbapIEIDEofggcnwLd6ORLtMQWZ\nBcuHigUXDIZ6oPsoxRZZ1xjz8ssvNxqNj370o5cvXy4UCv1+v16vo+UZyW0RGY1G/X4f5sr3/Xq9\n3mq1kOaJdHNR3/dx6sFg0Ov1YmtXAXt4B545hGRpaencuXNgUbZarcnJyfPnz78tcvuWcOsbMMqQ\nseYQEuYNNHGuECYHUjo+gMV/Jg1ETQ4PyKPFOrKFtgESzJyJHVfZH0BEwlQ1eHEpHTAfWFNFkr0F\nIdHUHGUXA2Pm5ubq9bpY2dRECXue0qhwTGMMJgKAY8ZEhGinNgMsnjrWzZQ9TT6IVsh83fmTj1qs\nzaaNZk2DvTMbfd8/ffp0GIYf/OAH4zg+fPgwhljyTvnkkS/CEo10Zh2NHH/AGaE1Ih0aAg0IO8dA\nOY7jra2t+fn5U6dOeZ537ty50Wj0yiuvXHcZvT4w1jSZWq1GupAoq6JcLoO8A0PVbrd93wfbHgy6\ndrvdaDSgkenVBUGwtbWFLyY6DJ6bdHieh2ZhtpEwowBGiafdlkgVhtbmpYkm6lFmLpVKc3NzyMXB\nYIiaN7E4RJ7VAoHr/KM/+iNQ/weDwdNPPy1WryHyw+l0GpQHxECB1cixuLgIQ45rMNYAyVBpzFQm\neAKe53FrPYyDQr4OGT/YEjsPAdvGLCKv7eWXX7569SrzFsj8o6UBNiwMQ+xbht7n3d3dWq2WzWbR\nSE7GPJQPIjBP65qI25B75IeRS4RVazabx44de/DBBzHtN47j5eXlGyuwPw5+JhqZGSPTUfJ1P29f\nx0b4WtDydHpQosR3SlhgjaKn7aEpogpmzwetICIkhmuRTpiliuEOdXacYatsHiTRSiz/FOpOzRwB\ngJYdKPelpaXNzc3bb799c3OTQZhR7gbOxaNNTEygAzSdTrdaLbi08EN5O75FyhAtevkWI1G01MeQ\n0f4KjVlgtSfTq6jX6//0T//0+OOP/8qv/Eqj0eh2u3fffTdTKDBdCF45VsfXccm0SWLRFO1ojKdO\nrP0wcdmtVgt9OTbd5vz587Va7ROf+MTJkydvhKT+tPHMM8+gcZhOGJTmgQMHms1mHMf1er3f7xeL\nxd3d3Uql4nleo9FIp9OdTgelEbTJY5mEOkFxcnISe9CA7AC2BbIRCIA2NzdB3IfhgZpmFAUTIjqM\nbWdnBwq02+0iekCdRnRSBnIAMBVYAlyDOE673cbuo6+88sqJEyeq1WoqlXrxxRdrtdqf/dmfXbx4\n8bnnnrv77rvRFYBkGnJucRwjSAqC4I477kin0/V6PZ/Pt1otEFATay4+r9+zSLx2GZWRlqcdJkzM\noDQVKAOezTyxUufDMFxeXn7++efvuuuuj3zkI//zP/9jjHnkkUcwg8oY02q18O5AuAf3JAxDNDaw\nAE8d4us8DvhtrF4nWl8IdHbo5cuXh8MhYmKExS+88ALM3oc//OGf//mff3tk903j1o/AWJsRLbcw\nrYRXS5dHdEnsSwt4Fg1EREIdnRfp3l2iSTn7k4lWxai+fWVeQNAj7e2HjLJVmVqVNowRA+OzxGoQ\nZk4AXR2+709PT+M3i4uLURRhGJqIoEiL0yGf41mtAriSVCqF6jocZAamsXIueGpft1AJdVNmsQIs\nOsU8hWelbXlT/LAxptvtfvvb397Y2HjggQeMMaurq5xBjMuD1x/HMUoynFkQW9vE0ERRX9CO7utr\nMboZFXQou86TJGk0GvPz83hQUBZjCqQN4XGDsd1ut3d2djzPQ94JaUZ4Kr7vI4OEGb6oAhYKBVFn\nbnp6GpM2G43G5OQkBwziXCkdeBbpds/Q4IluiIUH3m63UQ/rdDoILDY3NyF7rA/RJWKWGK9vXxyP\nN3769GnQOp5//vl7770XH0Ydyxjz/ve/XzQY3dnZwUlxqFB3MEEEn0qlFhYWOp0OJmBxqcJVQoMj\nIkjmDFAaSOkGzWZvvz9KCWgMF4vBG2v7fKDTvLa3t1999dXFxcX3vve9xhjMfsP8QyRFMAYFFwZK\nJxxohFB4BXhE0AYw0oy3xNovSdR1azabKysrMzMz5XIZOZvhcLi8vMxsbaPRuEFi+hPg1jdgiUUr\nYDi1L5CiOqZXntJdD+ygTaxJpr41053cP4ZZOA6zz55VefJ0UDeP4ylv3rOmvPMDlHujm0fH2sYY\nWLMnEotiR5vx0EMP+b6PVMbx48c3NjbCva3QiXICXb3x+gAAIABJREFUfd8HFwunQFUDcSdJTaKK\nQKw9XLAw7DoEI9FEB3XTtIS66xLuKLbmYoRh+OKLL165cmVhYWE4HF66dOnuu++enZ2FV55o6zd3\n1/WtbvTI2g8sVlKAHfxRJ+LujHI6kiRBRxQaaIyypcMwxI5ojUZjfFOI7G9DMhlka1Sner1etVqd\nnp4GvahcLqPjCvkulLXA0APNL5PJTE1NQUgQQCCtDeo8PHcIxnA4vPPOO8E15wtCIIjXh+GKu7u7\nyN2FYTg1NRVY82KMtVEDhDmKIvQ/0RP1rJn0nPjOiFxEPv/5z/u+/6Uvfcn3/U996lM/+MEPUOsK\nwxDcByZXEQWGYQhjf99996HnJEkSLBxOt0pZ7YlcOyxNibq2vtU+T8I9JiuKKgGYGdSxkiS5cOFC\nrVb70Ic+1Ol0nnvuOZSgsLdLpC2h7XZ7NBphFBwbTsDnFBH4BEi0MvAC9TRJkl6vhx8wJng4HF67\ndq3ZbFYqFSwo/MnzvHQ6feLECawLVwO7KeBp53JsjYFn9gyuik0uAmASkM6GJ8VyLu1QWvepS5Tu\nxRgLnwHTydcCLOxZZG3oEOhMM3I6UNnmf43O6RBlXuHyaI950kCZ6/QQPc/r9Xp/+Id/CNqViDz4\n4IOvv/4625m53uAJYv5CEATQWTyy53lwBu0zGq1aYQXG1oxEY43YN1oqoJUVizsT6KZHFy5c2Nzc\nfPbZZz/5yU9+9rOfvXTp0smTJzEDgoEdjglFwIJ/pFM/7DviNfjafE0aKm+h0Wigt6xcLovIcDhE\nuwyO6fs+ZsXCr78BUnqdAAoDqyMoa2Ffro2NjY2NDXwMYbdtLSYnJycmJqrVKn7wdcNDRPlzc3Pw\nCWLlJgRBgOppKpWqVCqvvfaa53n/9V//BXUpSj3AuCZM3cQP7IycmJgolUr2iHSOCrQ9ErxcnNTO\nH0BKPa1ORVH0x3/8x0899RTOvr29/bd/+7ebm5sISsASRAhVr9fn5uZEpFarbW5ukoSSTqer1erW\n1hbsGSRNlAQLIH7CA8QDwVIiNwoFvFCHfGKEbqjbD/V6vdOnT//Lv/zL8vLyAw880O12n3vuuUcf\nfXRnZ2dycpK6BdcJNqbtzqIFG+KKfgk8GZwFxp5zXI3ScNbW1sAxRjDt+36z2Wy321BQ6PbD8lxZ\nWbnhAvuWcesbMKM1YWMVQkQrxpASVgg8iwQYWCOocShoW7tUZqweWOpr+p5IW8MV4sd8q/gc6gAI\nyH2ou7HYsVGijca0vowV6LSKMuu41HmciYmJ6enpl156iYaw1Wr5OsyJn0S+iAsAxslTsMi0vb1N\nm2dbMgaL/KJdP2BDAsAaodGyVrFY/M///M+HH3749ttvF5GFhYVms2l0tptoQMxiOA0hzxUqCVvU\n0id7m6+N5hWTJKnX62hrFatdwVPmMe3c3Nwc6A83RlB/6sAuzIlWfOGwG2P6/X6z2QTxXUR2dnYa\njcbOzo6IRFFUqVQ4O4pJ1ziOt7e3R6MRpkaBZSciKR2kQhOCd41o/sknn0Roi+ghtHZw9rQLxfd9\nhhGRtTcsvAeEMsyup3Q+GX3EKIpmZ2dxnezexYJdXFz0PO/P//zPPc8DmX5lZYVkSF+H38/OzmJd\nHD16tFwue1pvhiMI+/T0009jOCHiIbrCrOOOdJ4Tzm50yzSwf0WDMyw0piswIqvRaBw9evQXf/EX\nV1ZWjh07dvXq1dnZWaiRarUKj4GL1LMYmJ5SgimxWCZcIIFFoUSGvNfrTU1NYZAY3JpQpzpAs+E9\noovZbpq+aXHrGzCmsEJr9Dj+xBll9CJpwxLlOATW/oc2CYL6GvkoJqY8iw8Sx3Gr1dra2jp//jzm\nuDD35Vk7PdLJsrV/olNubaPlWx1s/GWihVmGd1Aike688Oijjz733HOw4tVqFXwzT/d3x3exVx4H\nsML/RTMKMu+YBRBZW7mz+MesTkp31aKdpkkze9OMnrWnWiaTef31169cufKe97yHZhjmFhQAuqLt\ndjvRLj3GWOS2JDrd0X5W5O/gfnFHUOsAs4uAWEzOw4cP0+8eU0DlYTofxwYyboYq73a75XJ5bm4O\npRpjTKvVglFJpVID3V4ZXRlYFIjIkyRB2Gq0UhgEAVuXrl27FkXRX//1X5OvH2pjPvcmhQJFg5pY\nO8CR2iBKCMIqRqeE6EjDJElardb09DTyYEw8BDo1GyQm3/cXFhaOHz+OGjCECq8V5B0Y9dXVVVzV\nmTNn1tbWEK6JSLPZZOMUhArFv7Tu+eL7PpyhlG4cY5S6Rb+KFgV6AHFepVJB/PdLv/RLvV5vY2MD\neuDAgQPovwb7I45jUEPBXaQ7iGjVU3Yo4zxoAI4IgeOysbGxu7s7PT2daDURB0ePM/NGSEJwfPbb\nJLZvAbe+AcPgUVoIewJNqD2GeP3MtBiF6DjUQNvaxWpAhgTTS410Fg61dhAEpVJpYmICmxSwVxr+\nJqWfDqzRPL6nG0VyYYtlMBgaihbbkBX0lfSIuhGueTAYfOxjH1teXv7nf/5n3PLU1BSYYL4Ox4Nb\nPRqNlpaWVldXX3zxRfwVWR3cKSpVCwsLTOMYTcbiknA9iW536VnZTmPlfAIF7feXv/zll1566dd+\n7dd2dnY2NzfRbIRdPwKLAOb7PhqDcEBPWZEk11FH2AuSrjqUMsjTjLz56n2tzCEihEa46667Qh2y\nPI7I5/Ozs7OpVOro0aP5fP7gwYOlUgnbNop6JMj4ra2t1Wq1nZ2d4XCIbNJoNAK3hft7iUi3263V\nakmSTE9PY+6DaC7L023NkUwDIUJEVlZW1tbWmE4A1zHSYaTMEBorMx/o7CuxSPNwdDylLPnat7e5\nuVksFkNt8MB6BMMwiqJSqVSv1//gD/7AGJPP50+dOgVmJsZcbWxsTE5OGmN6vd4//MM/PP/889/6\n1rc8z7vvvvuOHj165MgRhLDFYvHIkSN33XUXF36sk89oCKkrfIs0wfXoW/umigjyfufOnft//+//\nraysvPvd7758+fK5c+fuueeeTCZz/PhxX3vykDOnGMe6dQB+jz4BT7tKoihCMRLk+0g32q7VaqlU\namJiAgOU8UvUO0mJgmaAO5JKpdDn54/DKKkxuMSfEPTLEp3RgN9Tn4qONUu0D5HaVrToKlblBuoY\nJB+xHHY6tr628Yqms1AhZ9Bmxx9i0Uw8pe1RQXPNMDgQNQnGYrGH2pWJPBtuh9eJ1MFrr70Wapdl\ntVqt1+uBzqUW3fH91KlTExMT2WwWRGrP89Dhj8tmFx3PzgtDpSHWsVuyl0IZWN3iURS9/PLL5JI0\nm83t7e2TJ08eOHAArAFs77S9vQ1lF2sXOX1bsSgktJRM4TJ/4ivxBO452mwDnTtADwAmkPRo0Zql\n53nMMV5P8byOQHsQXuL8/DwsVhzHeLmcMAuBQYyFjXqhImEY8AEM5kiSpFqtbmxsrK2tMT7DeyET\nh/YJ76Xdbi8tLcEv5BOmkNAZ8qyN36BDI21bpvYXnVaaaD9TkiS1Wo32j43bCNf6/T7uGsnPdDpd\nq9WCIDh79mwul9vd3UUSNZVKzczMfPazn0VpEAl2z/PW19eN7onKedO+xaf1rQYSOD12TQGfQU6P\nHhJ2mRERz/MuXbrUbrfn5uZKpRJGb8C9fvXVVzHCg/neSPdk4cJnpkdE4jjm3oGRzt3G69jY2Iii\n6PDhw4gaUZCDXsJIMI7eYLEDDxbbzbgI7GaBsSYN2gmoRNtT7EYiqkV8Hu4JqeqMykMdSRVbm4fR\n+YIEY4OJwWDw2GOPkbXBD8Q6o49JxUTr0qE1NhBgZBNaLb1iNTPFVkOxWGxyoxNCNzY2Ll++DBZW\nEATdbhd0amyGyygnl8vNz89jii4G5ETaUJV6wxwTsebxizUvkUZFdBJKoBwQEfn+979/9epVvILT\np08fPnz4Yx/7WD6fv3r16sGDB+G/7+zspK2dPEXtCt4jrFpgMTntHCDfIMhXURShP4kctkjb0gNr\nEJdYe5IhWE+S5NSpU/ZbGC9AA3JjEUSfKLWixDIxMYGnh1FPZBgaYzqdzuuvvz4YDOr1OjrDwEEX\nkenp6UKhgFHLvu9DI0PPwh4MBoPbb7+91+sdOnTo8ccfLxaLyB/iqpDpYgsE3hSzEUhj2qmORIu1\nqVSKm9wjwkh0ADQcOKYxYZLjOP793/99pBnRtX3gwIF77rmn0WicO3eu0+lMTU2RAe953sMPP3z0\n6NHz58/HcdxoNMDiCbX3C0TzUNuufS1O2zkSiA2fYaR7nTC3//zzz8NywEWbnJz82Mc+FobhmTNn\n7rrrLrA6NzY2KPlIzyJjQToGKKDMtZL2xWhvNBrVarVarTY3N4eoy2hzAq4fb9+z9tDwPK/b7Sba\nYR1F0fz8/FgYsFu/kfnKlStIPrBRg/3zvjZU+lYXM/6EaEM0L097YMdntBaQM4YLntX+DCYuljp8\nW1oaeD1G8+NG0/eM0uK9/dSeMsVp/JD9YIcNfmg2m7J302QRmZ6efv7555eXlx966CFcQ7Va7Xa7\nGBjKlfnss8/2er2FhYWJiQk0+YuGWbSyvBhjdb2IrmHb7tKgetZ0RM/zpqamLl++vLm5+W//9m+r\nq6u/+Zu/CWtUKpXwdlqtFspUfCa8BjoH+O9Ip/KIFWqPRiPsZAguGedB+Dr/lG4EiTOi+Z9Ap5Vj\nFsnx48e/+93v/tZv/dYNFNifGhqNBjZ+5JPBz+l0enJycjQalcvldrsd6QhjvDgO3SgUCpjNwcoo\nphSisotTbG1t4QWBZ4FHilO88sorJPvNz89TfpDWtovBidXa6Ps+ajOUMWhbX7kebJlYWlqamJgA\nAwhfRxYEw7FEBNtuLS0tXbly5XOf+1yj0SiXy61W68SJE+vr68eOHcN9AV/+8pc/85nP1Ov1hx9+\n+MqVK6QziDW1ncGlsSYLM+OCvdaMcndRrvN1sgGUzCuvvLK8vLyysvL000+///3vf/DBB6MoeuGF\nF+6//36YkK2trenpaeYhEfVy/Ae7EcIwhLeR6FgDXEa320VOFd8VLY2T9GirBTbqgcAFDbC7uwvz\neejQobNnz/7u7/7ujZbat4hbPwILlCLI2AsvzNMhhHjHgc4ZolVjtspW3ExQJDoqiaaFiTuUzfAV\n+lD4JPIM+CSSkDaPiOks2kjfoguKhm7mDc1YaHWE0HO3XKYdkiS5++670bErKrui+zdyF4YkSW67\n7bY77rgDTTCeRcfHk7SjWM9qiOGSYDBqLJIhLsNOfs7NzY1Go3PnznW73Q9/+MN4L8vLy3bcBmOD\nhRdZnZhi2cgkSeCahLq1Jl7ucDjEzoeiXXrgL4RhCHcV7z3UndJ4FmZ+GDWm02nuuDZ2WF9fB28Q\nQS1eEOY85fP56enp1dXVcrlcqVRgkPg0aMuhgsMwzOfz2Fm03+9jDyooxFQq1W63a7Vat9tttVrb\n29voSg6CAHuMsbKCRYGgBHLIhnrRHkeMmQh0CL2owMMzQyM2f49XhhkckHnsQTpSIIXwyU9+Mo7j\nr3/9657n9ft9zFUyxiwvL5M8EsfxY4891mq15ufnIWw4I80VeRmeFnGRt4gVuDuu1kQZWCxFizXc\nYGNjYzgcYsP0MAwfeughSN3ExASFGaVKGniQOaEc8APeI8fqG2M2NzextwBK/qlUqlqtViqVbDZb\nKBRALk2SpFAoYMmLSD6fRziesvZYQYcfBONtkNq3iJ8JA2bH46J1flIK4bLRyaJ+jHXgIfU7zUyi\n0/aocyHHkQ66Fc1T4Yvr6+usruGTIsIKMNnh/BO7I8EfwZHZxczyAGM4mGT8Eg4s1T1+mcvlTp48\niVQ4Apd6vT4xMVGpVEDtw3FQ7eB+0KKMQd/azIUhl9lLo2dUJHt322JYyUBtYmLi6NGjGxsb73rX\nu+66667RaNRsNqvVKjP4vvaMM7K0z4gD4uAYFInRWVRP2GY31B2qoG4wywBRCIJO3FFadwf1rU72\nSEc5D4dDqMhxBPYkhH+TKA09l8tVKhUwZW677TbucF8ul9GzheblMAxrtRoyh8PhcGVlBRKF1kY0\nk3k6tRYf29zcFBFjzNraGozHYDB49dVXwTmEu4YsH7YBM8a0Wi3od+QGeUD8CSYNeUvIP74F/w9t\nTGy9H41Gp06d4kg2UY/n6NGjs7Oz3/jGN+bm5nK5XKFQOHPmzMmTJ0E7jKIIqw+M9oMHDyLoTJSH\nFVoT0egBc7WylMtMo82Vt4MnWMFKpdLpdJrN5vHjxzGR5OrVq6gyiMjMzAzEm3tK0BHE7pS+cs1S\nqVSpVKpWq7Ozs8VisdFobG9vg3iCzOf09DT2VJuenp6amkKreLFYrFarNF3ogMRNsbuAuqjZbE5M\nTLw9gvtWcOunENfX132LPR9amwIzTWcr6ECbOXzdWoXGgJGN7/ukLdDqJDpJlgYGuqNQKPz3f//3\n7bffzmuwzdUbAwtjbTrsWRWaxKriMoXInBvouSJy8eLFAwcOGKvJFIr4/vvv/9rXvnb8+HE4j5xx\nF0URJuDFOq40lUodPHiwWq1yy12GWWEYMvHCq2VEaMO2ZPue7bPPPvv1r3/91KlTH/zgB6MoWlpa\nmpmZAdERM9kwHNbu6Wa6A14nqFbwPDAcKJ1Ol8vlYrEIpgYICKGSv0XL6YgJYOxhyexKDAwbkjnI\nVhljDhw4cO+9915HAb1uuHbtGry0SqUCEjaiInRNYFwvnJsoinZ3dzHlAclDxPSUZ9qSfr+/u7sL\nwW61WrB/sFVgQMRxDCbF5uZmoVB44YUX3vGOdyCXDn4g/kU8hHAZEQzakJMk2d3dBU2fe5SQyIDT\neUocR4qSaeR8Po+dIXG0breLcbf333//V77yFcx7XFlZOXLkSKfTOXDgQK/XW15enp6exs1ubW0d\nOnRoZmbmxRdfTOsOQaJrPJfLNRoNNgPYOQAuDTt5YNfGRqMR8o3f+MY3ut3u3NzcJz7xCWPMCy+8\ngGa1Uql04sSJ1dXVQ4cOTU5OQozRNo6KNcJQGKRqtTozM5PP569du7a5uXn8+HF0JSMAXVxcRNER\nkypRMKtUKthZFL3PWB0wdSJijAHpV0SwsxrciImJiQ996ENvm/i+Odz6ERg9Jt/aT4F5LUinXbbx\nLFJvWrc/9iz2BDWyZ+0BkVgjKox2hiHjMRwOa7War/xABoKizPtER3Daxo9eJI2QZ7VOG6WT0BDa\nwHF4GchbZjKZBx544Dvf+U6xWESdDAYM3STwhXH7YK+trq4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AOoVLSmJRC7CggvIZpxFL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CFQJpYBjVapWZ6WS0ZFp8Vr6wqqeUpVKpGzduIIIM+YgmPIBKlMRt2x4fH+ezQHbCEgwGg4Jk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"output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Statistics of the Wavelets Coefficients of Natural Images\n", "---------------------------------------------------------\n", "Although the histograms of images are flat, the histogram of their\n", "wavelet coefficients are usually highly picked at zero, resulting in a\n", "low entropy.\n", "\n", "\n", "Load an image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256*2;\n", "M = rescale( load_image('lena', n) );"]}, {"source": ["Compute its wavelet coefficients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Jmin = 4;\n", "MW = perform_wavelet_transf(M,Jmin, +1);"]}, {"source": ["Extract the fine horizontal details and display histograms. Take care at\n", "computing a centered histogram.\n", "\n", "extract the vertical details"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["MW1 = MW(1:n/2,n/2+1:n);"]}, {"source": ["compute histogram"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["v = max(abs(MW1(:)));\n", "k = 20;\n", "t = linspace(-v,v,2*k+1);\n", "h = hist(MW1(:), t);"]}, {"source": ["display"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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lMjaByWSCfKFblsvlaJhRKGOdhTZY78bjseM4NGDoxziOUygU8Gtks1lcHpgsxPnN4m5i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\n8uXLV69eff311y3L+ru/+7tarRaGYbFYHA6H7AsjCZC0oHK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BKcI1RkZG4BODwSAcDgMq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bfLnbJeev2/qMMPYEIIVhhzTw2oCO0Wm5t0oXk3+H4kMqaa6I2R8keER7FYrFaruAexQmAJicVi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\n0gAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "subplot(1,2,1);\n", "imageplot(MW1);\n", "subplot(1,2,2);\n", "bar(t, h/sum(h)); axis('tight');\n", "axis('square');"]}, {"source": ["Higher Order Statistics\n", "-----------------------\n", "In order to analyse higher order statistics, one needs to consider couples of\n", "wavelet coefficients. For instance, we can consider the joint distribution of\n", "a coefficient and of one of its neighbors. The interesting quantities are the\n", "joint histogram and the conditional histogram (normalized so that row sum to 1).\n", "\n", "\n", "Compute quantized wavelet coefficients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = .03;\n", "MW1q = floor(abs(MW1/T)).*sign(MW1);\n", "nj = size(MW1,1);"]}, {"source": ["Compute the neighbors coefficients.\n", "\n", "spacial shift"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t = 2; % you can try with other values\n", "C = reshape(MW1q([ones(1,t) 1:nj-t],:),size(MW1));"]}, {"source": ["Compute the conditional histogram."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["options.normalize = 1;\n", "[H,x,xc] = compute_conditional_histogram(MW1q,C, options);"]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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SQv/n6mu/M/p1wp/41D6h9Pu/rRP4cm82m+Gi8ZYkYD3o8eHb73fOvatP7Lv63/7wqX0q\n6fE/3gaexBkTD6PNYmrviBvtoffjYC+r934PxVT9x+dm+Gv3lDtGAgZAJHchAhBJwACIJGAARBIw\nACIJGACRBAyASAIGQCQBAyCSgAEQScAAiCRgAEQSMAAiCRgAkQQMgEgCBkAkAQMgkoABEEnAAIgk\nYABEEjAAIgkYAJEEDIBIAgZAJAEDIJKAARBJwACIJGAARBIwACIJGACRBAyASAIGQCQBAyCSgAEQ\nScAAiPQfaFFfd8nzKwEAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["q = 8; % width for display\n", "H = H((end+1)/2-q:(end+1)/2+q,(end+1)/2-q:(end+1)/2+q);\n", "clf;\n", "imagesc(-q:q,-q:q,max(log(H), -5)); axis image;\n", "colormap gray(256);"]}, {"source": ["Compute and display joint distribution."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["options.normalize = 0;\n", "[H,x,xc] = compute_conditional_histogram(MW1q,C, options);\n", "H = H((end+1)/2-q:(end+1)/2+q,(end+1)/2-q:(end+1)/2+q);"]}, {"source": ["display level sets"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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YgP5S4VVgcezl8vwpbOI1b1zJXnqNLH362LL4vYzDPnTdSORUrAR4UnAG6C8V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\nMiLxxf1axHnHB0MiyNRwXyIy8p93AMC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"output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "contour(-q:q,-q:q,max(log(H), -5), 20, 'k'); axis image;\n", "colormap gray(256);"]}, {"source": ["Conditional coding\n", "------------------\n", "Since the neighboring coefficients are typically un-correlated but\n", "dependant, one can use this dependancy to build a conditional coder. In\n", "essence, it amouts to using several coder, and coding a coefficient with the coder that\n", "corresponds to the neighbooring value. Here we consider 3 coder (depending on the sign of the neighbor).\n", "\n", "\n", "Compute the contexts of the coder, this is the sign of the neighbor."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["C = sign( reshape(MW1q([1 1:nj-1],:),size(MW1)) );"]}, {"source": ["Compute the conditional histogram"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[H,x,xc] = compute_conditional_histogram(MW1q,C);"]}, {"source": ["Display the curve of the histogram"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; plot(x,H, '.-');\n", "axis([-10 10 0 max(H(:))]);\n", "legend('sign=-1', 'sign=0', 'sign=+1');\n", "set_graphic_sizes([], 20);"]}, {"source": ["Compare the entropy with/without coder.\n", "\n", "global entropy (without context)"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["ent_total = compute_entropy(MW1q);"]}, {"source": ["compute the weighted entropy of this context coder"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["h0 = compute_histogram(C);\n", "H(H==0) = 1e-9; % avoid numerical problems\n", "ent_partial = sum( -log2(H).*H );\n", "ent_cond = sum( ent_partial.*h0' );"]}, {"source": ["display the result"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["Global coding: 0.938 bpp.\n", "Conditional coding: 0.829 bpp.\n"], "output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["disp(['Global coding: ' num2str(ent_total,3), ' bpp.']);\n", "disp(['Conditional coding: ' num2str(ent_cond,3), ' bpp.']);"]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}