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@smoofra
Last active August 15, 2018 19:58
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" sqlite> select width,height,bitsperpixel,bytesperrow,bitmapdata_location,bitmapdata_length from thumbnails;\n",
" 128|128|32|512|8|65536\n",
" 128|128|32|512|65560|65536\n",
" 128|128|32|512|131288|65536\n",
" 128|128|32|512|196840|65536\n",
" 128|128|32|512|262520|65536\n",
" 128|128|32|512|328200|65536\n",
" 128|128|32|512|393880|65536\n",
" 128|128|32|512|459432|65536\n",
" 128|128|32|512|524984|65536\n",
" 128|128|32|512|590536|65536\n",
" 256|256|32|1024|918376|262144\n",
" 64|64|32|256|656088|16384\n",
" 64|64|32|256|672616|16384\n",
" 64|64|32|256|689144|16384\n",
" 64|64|32|256|705672|16384\n",
" 64|64|32|256|722200|16384\n",
" 64|64|32|256|738728|16384\n",
" 64|64|32|256|755256|16384\n",
" 128|128|32|512|771656|65536\n",
" 64|64|32|256|837336|16384\n",
" 64|64|32|256|1213464|16384\n",
" 64|64|32|256|870392|16384\n",
" 64|64|32|256|886792|16384\n",
" 64|64|32|256|1180664|16384\n",
" 64|64|32|256|1197064|16384\n",
" 256|256|32|1024|1492024|262144\n",
" 64|64|32|256|853864|16384\n",
" 128|128|32|512|1229864|65536\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/private/var/folders/p0/ln28tfr97411rtx4qfpy30gh0000gn/C/com.apple.QuickLook.thumbnailcache/thumbnails.data\r\n"
]
}
],
"source": [
"datafile_name = '/private/var/folders/p0/ln28tfr97411rtx4qfpy30gh0000gn/C/com.apple.QuickLook.thumbnailcache/thumbnails.data'\n",
"! ls {datafile_name}"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with open(datafile_name, 'r') as f:\n",
" datafile = f.read()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"start = 1229864\n",
"length = 65536\n",
"data = datafile[start:start+length]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"128.0"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"float(len(data)) / 512\n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"width = 128\n",
"height = 128\n",
"red = np.empty((width,height), np.uint8)\n",
"green = np.empty((width,height), np.uint8)\n",
"blue = np.empty((width,height), np.uint8)\n",
"alpha = np.empty((width,height), np.uint8)\n",
"\n",
"\n",
"red.data[:] = data[0::4]\n",
"green.data[:] = data[1::4]\n",
"blue.data[:] = data[2::4]\n",
"alpha.data[:]= data[3::4]\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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AMPHBYDC0DvNobBGZTEZKzJMrePWrXy1UnlQ1k8mISZIxCaS82oRISl0qlYRykYXWNRtI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\nNnXtzrBOZ7VaTURVViqVBLe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xD9deey2AeAKTRvNrBvNdS/8Eznvv3r1NtVsqlYS7CAvH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\ngyEG2xQMBkMMtikYDIYY/j8FGgHhnwqa4wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110ef5410>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KHrz39u3bHSWVad8ovpBDkIVfuAayPJ7vR5BOpyP+FDJU3OdEZmdn3T2lCOIX3KXIlc1m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\nplYDdFOYB3wYqFwqlUruZY3TxvPBkgo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"text/plain": [
"<matplotlib.figure.Figure at 0x1117c4d50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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Lr/yUpj0q7qQ5MUTJacojh0D9wKZNm1ySU7afz+cdFZN9+kVq6VyUy+US1LQZ\nt7LUaCcPRDOUy+VYfAUQd6P2lazFYjFhos3lcon6mVx3oF7RSnIHPqcQGr80Xa8E6KbQIVKplLM6\n/OIXvwAQz7LEh2/z5s1OQccXlUq6LVu2OC83maad32lN4MP03HPPOQsAlZzFYjERW1GtVt1D7/sr\nDAwMJDJCj4yMJEqnSdu7r/hMpVLuZZEKwIWE/5IdOHAgUTh2ZGTEiSBUvGYymYQvh/T+pAVIbtTc\nNPgplYP05qRoVigUEtmVmiWEkee7WZQLQcUHhUIRg2ZzbnP+pMaVSsVRS1J0GYIs6wrIeAKgTrmk\nHz0p2PT0tKPg0kYPxCMLOY6BgQHXPj8zmUzCfk/WWHIzPEfOBahTfikeyXb5KefA6/1cjjKhSihl\nXIjL8O38pK4///nPnVjFaMOzZ886nw7GZQBJjozrmMlkEudyuVwi3F1yCn6WbVn0RkZcdsIxtTKR\nLgE0m7NCoegc8+IUjDGrAXwawLUALIB3AXgawFcAbAdwCMCbrbUXWrTT9ZyCTyWAsGwpKYcvH0uz\nph9/XyqVHCXxy8bJ2gpUooUodDtJT0Pn5Pl2nXakyc6veUDI9Gby089ZEBoTvT8l9ZbXsD3fM1T2\nJbkP3ytSUn7pvejPn7ocWe6O3EZ/f3/Qk1H2J7FYepgOsPhl44wxnwfwr9baTxtjsgDyAP4UwIi1\n9r8bY+4GMGSt/ZMW7XT9piDRLCNxs5eqnQzLEvJF8jcR2V6zoJ1mD2mj8bSzMczH+y8URNTIu9AY\n03S9pVgSyvbMc6GckqE2Qhsb2/ST4IT8H5phpWwKcxYfjDGrALwCwGcAwFpbttZeBHA7gM/XLvs8\ngN+Zax8KhWLpMR/Nxw4AZwH8ozHmegCPAng/gPXW2pO1a04BWN/g/hWLpdrxm1E3RRKdcH0hLkVm\nvPbPyZD5Sx3zeeoyAG4A8Clr7YsBlADcLS+w0YoGfyljzF3GmEeMMSsjHY1CcZlgPpzCMQDHrLUP\n1/7/OqJN4bQxZqO19qQxZiOAM6GbrbV7AewFllen0C6YufnAgQMuuo/egtbahNNQuVxOOAvJ4rAy\n5BeIzFtUau3YsWPR57OY4HxLpZJzwKKSzlobC6MGIjMr1813VAKSprxGeoZ2ysYRi82FLWTE5VJj\nzitjrT0F4Kgx5uraoVsB7ANwH4A7a8fuBPDteY1QoVAsKebrTfFeAF+qWR4OAngnoo3mq8aYdwM4\nDODN8+zZW6/+AAAgAElEQVSjK0AqfuWVV7pjsj6DLDYLxAup+hQsVIlIJg5Z6SCnsG/fvkTNhpmZ\nGedQJRPA0ImLDko0NY6NjcUSq/J6tsH70uk0br/9dvfdx1I76a007kBCPRrbnD9FhYmJCedhR6xe\nvdo9xGSNp6am3INB3wJZJIXXcWNhNWcgWY5O2sj5wE9MTDh/BmY+6hYwoGt8fNzNXcYh+GXgCoWC\n21RldiUg8tz01zuVSrm5y6I30vtQtpXP54P+Gn7W7FAoPDef3t7epuX02kEXKI7Vo1GhUHSOZXfG\nXimQFM+n/DIsmRRderv5eRMzmYyjQLyvr6/PUSC/xP3MzEwicjGTycQiLLsJ5GYuXLjgqDw9FE+d\nOpXI8DwyMuLmTI6MazY8PIxz584BqMc5HDt2zKU44/Xj4+OuXz8+I5vNut+Kv8+GDRtcHAnDo2dm\nZpxilOPhuXQ67c5dd911ba3DShUhlFNQKBQxqE6hzfmzxuHU1JRLUEp5dmhoyFFEWa+RlIoRjrJ+\nAimWTOrhF17l/z09PU7+ZXTgmTNnnD6CyrZVq1YlZGfGBAwPDzu9R6iEusy/wHuo9GPffX19saSv\nQFQrgeMleP2JEyfc3Emps9mso9BSL+Dno5A1H5kzgffJteVcyuWy4xRoMpYxISFXcLbBPmVGaB/V\natVdP9c0fF3AObSlU1DxoU3wwQSQSM6Rz+dj6cqBeLwCHyK+BDwvr5cPtf8A9/b2unv5AnJzkGOT\n2ZgI6RPAF1SmaZc5H9k350LwmrGxMffS8Fi5XE5sCnINeD3nJi0DMpzZ35x53+zsrBMfiNHR0YSI\nVa1W3abLBDYsOuP368NXUF7uUPFBoVDEoOJDF8xfsTAIhUJ3E1aK+NBdq6ZQKJYdqlNoE9KESJOk\nhJ+3QNYVIEJybSghyEoHFXfA0snpskxbF1DkFY1L50lUKBQLAuUU2sTx48cBAD/72c+caUpq1qlJ\nZ4xENpt1rst0MpJWBZok6dBkjMFLXvISAHErxUoEy8kfP348ZloEIgckv3R9oVBw52khoav08PCw\nOydT3/tp3FOplDvP9WNlptHRUcexsO9MJpNIFTc0NBSLpQDqVpb+/n53HR2xONZLDapobHP+fDgm\nJiZidRaAyN4tU3oBkRmR1/l9yerNMtuxDLBqBLY5Ojoay2MIRL4LNE8upzjCF3Z8fDyWMRqIzKYc\nmwyn5kbr+ytIvwZ+Dg0NJTxIe3p6nP+I3Gh5DTcPtlEul915bkBr1qzBqVOnANQ3FmlK5di42XS6\nKXSBWKOKRoVC0TmUU1jg+ZM9XQjWUiov+Z2Ud2xszFEzch0XL150pc0kF0MsVd0BJqQ5duyY65Pj\nqVQqTqSgk9T58+fdMT9yMZvNOiUvRbNSqeQ4BCakOXz4sOufnAjv2759e8yRabmgnIJCoViRUE6h\nzfnL2AaaJGXkImVVuuSuXbs2QfWImZkZ5yIt6xNSJub10n2ZMjavAeoKTMrEsm4BOQpS6t7e3lhO\nAyCi1IuR2IVUfHZ21o1HunVLfQEQrQdld95LZDIZt45c776+vkS69YmJCdeub5osFApdEVG6UjgF\ntT60CQZEPfzww+5lJXt64403OlZevpQyAYj8zOVyCV+HbDbr7uXLy/8nJiZiRWOAaKPgi0/WWxZO\naZYwhG2NjY0FfS4I/+VKpVLBGAYfrTaaZn2GzrVToJVKWsX8oeKDQqGIQcWHDucfqhdw4cIFx8JL\nHwZZtBWos+2pVCphZ5fl19iGFFPaKesmvfragbw+lH04VHGJY2pGvU+cOAEgMv8xMQnbmJqacm3I\nJDIyAQ3vZT+y0C4/fe4rnU4nfktyRrlczrUhuTC/wlaobBwhTby++bldrBTxQTkFhUIRg+oUOkTI\nKWhkZASHDh0CgFjmYcq5pFKSWpFiHTlyBECkDCPlon7ixhtvdG2tJNCzsFQqOQ6KCsRVq1a5FGfD\nw8MAInMi14qcBb1BN2zY4DwkuS6rV692nodUQm7bts3lU/CVuH19fU6pKb0jqXfhbyYTqdCESgwN\nDTl9zp49ewB0RW3IRYGKDwswf/kASdab37kZhBRwUhnpe/XxQa5UKisq/TtfYqDur8GXN+Tp2dvb\nmxCd+MlNBahvyDLYTFotuF5+rstSqeQ2FG4c/f39bvOQYhp/Kx6Tik+Oca6WjC7Y3FV8UCgUnUPF\nhwVAK09Bn82cnJx0VIoKNpkfkNRK+umTSsn0aX6NhLGxMcf5LKcHHyk6qTIQ9z+Q1BqIWHmeJ3Wn\nt+PJkycdtSb73tvbG6vHAETrSJGDno9c2xMnTjgzMsW1jRs3OlGC5mYZD/H85z8fwOVp6lROQaFQ\nxDAvnYIx5gMA/hOiytJPICobtxHAvQDWICpP/w5rbblhI1gZOoWDBw8CiKgaFWk0y+XzedeO9C5k\nnQLWKCBGR0cTlM4YE4sPAOry7ODgoKOSpG7pdNodY9blyclJxzVQYbcceO655wBEegRSa3I9PT09\niboPMimLL3dns1k3J7kunPNKUvZd8joFY8wmAO8D8GvW2msBpAG8BcBfAfiEtfYqABcAvHuufSgU\niqXHfHUKGQA5Y0wFQB7ASQCvBPC22vnPA/hLAJ+aZz/LDsq/ExMTjqLLhB2Uo2XeBWqpSS2lswyv\nY6yEpOyychLb9GtVynL2sqqSrDUJtOcivNCQSWI4d66ZdOqSx8gFkGugLF+pVNx1/JSchWLhMedN\nwVp73Bjz1wCOAJgE8H1E4sJFay1tdMcAbJr3KLsArLMg6y20C7LOUlTxS8n19fUlwqNpzstkMomX\nW74s0pTJTcNXfs7MzMS8BHm9H7AkazXMld2lUk/WypjLuimWB/MRH4YA3A5gB4ArABQA3NbB/XcZ\nYx4xxjwy1zEoFIqFx3zEh98C8Jy19iwAGGO+CeBlAFYbYzI1bmEzgOOhm621ewHsrd27/B5ULUD2\nNpPJBCloKGcgQUpOTkDmdOQ56bvvRzhaaxOelDLUWpa89/MfktuYmppyHAJFEaAuopDDKBaLTkE6\n30Qx1tqYWRUIx47MhSMJRXCG+uc1Mu0dj/kxHs3GkUqllixJzXJjPibJIwBuMsbkTbSatwLYB+CH\nAN5Yu+ZOAN+e3xAVCsVSYj46hYeNMV8H8DMAVQCPIaL83wVwrzHmI7Vjn1mIgS43GNuwf/9+R923\nb9/uzlG5JhWHdKJhMlA6yWzYsCGRDKVQKMSUmUCc2l911VXuO8/xXnId/f39Tol3/vx5AIi5A5PS\nsf1Vq1YlHKX6+voWjCKOj4+7tVosE6nU0/hRjyEdjrxWFgNupx+uS7N8EJcCNPahzfmTLR8dHY29\nhEDEGvted6lUyokBzNokFYIybJhge7K4KhC99FJTT3BTkBmJyKb7mYzkeJqtgxRjOKdOU85z00mn\n027duAZys+QGaq1N+BvI3I5+MVljTCKLlFwXtiUrUvO8VKL6oe2tIOM3gM4L3VzyfgoKheLSxOWh\nOVkAkG1vpXwjFZRgfYblADkMWbdAlm+X1BSIKCnPz1WMIHeSz+ddiPP+/fsBRKZJ+iCQ0xkZGXEc\nE6k3w6rPnz8fy4UJRKKOT61lyjr2z3OFQsEdI8dijHH1G3bt2tXWvPzCNj09Pd1A/RccyikoFIoY\nVKfQ5vypiJNp0yQYyyDzAfjKRFI8maZMlifzzWwyH4OvRJM5CEgFZZw/76XcLqmlbMsv07Z27dp5\nV5ei7F0oFJq2xbRtk5OTbj04bnIYg4ODbtxyrD73IHNa8DegY9j4+HgisYv0KuVvkM/n3ZpSL0LO\nb2BgwPUpY186Wasu4Co0m/NC4le/+hUA4Nlnn3WKNz7IY2Nj7jxFheHhYfdw8sHhgzk2NoYrr7wS\nQP1FvnjxovtONpXuy6tXr3YPMDeY4eFhNw5aRq644grnY0AlIcUC6dHIl6VYLLoHlf4KPT09Lmx5\nsR5if4OTma/5EnKsZ8+edS/+mTNn3Jy49hQRpqamEr4QFA+KxWIsXyMQbZa0BnGjsNa6Y/xkMNvu\n3btdX3PN0bhSoOKDQqGIQcWHNucvzYO+d5y1NpEXUJr//OQpMhuxPBaKV/DbkKZM/1ilUnEUkZ9y\njP5cQkin047CzlWMaFd8WGyEMlQ3Os9rGj0P8n6Zxq0TbqELOAs1SSoUis6hOoU2QYrXyGHFN1We\nOnXKyap+5SegrtyS2YP9eAh+lstlR8FoUpNKRclt+FmRpTLN121ks9lEurFKpZIITe40UankRHyu\nRFJjX6G60GjVbuh8F1DzZYdyCgqFIgblFNoE07HJhKm0BKxdu9blDqC5anJy0sn1foyCMcZxAaRM\nR44ccXoIWhAYv5DNZp3FgFS+Wq26MuzSXZemPN8El8lknNmRlL9UKgU5HB7jeFhafuPGjR05NKVS\nKTz55JMAgEcffRRAZCGhRp8Whmq16syOnAstIMVi0fUpOSeuBzmharUaS/nGdeM1vpNWOp12lo4N\nGza49VPoptA2pP2aWYP5EK1atcod40ZQLpdd5mC+ZJKVp41ePvC8lw+zrDDtvzTGGPeScxyVSsWZ\n7diGjLvgdeynr6/PXc+Xpqenx7H33Fh4TV9fn3tZ26lDYa3Ftm3bANRfcgCJUnJyngRNhwMDA4l6\nCzLQSsZ48DvnJ2M2fHNsuVyOFe7pBNIz9FLcSFR8UCgUMSin0CYYugzUawJISNFAfgJJ09fMzIyj\ndGTvpQLTv15WRJLsu4xh4P9sl2ZFv18gbmr0C7XKdqV4xDFSPGJbq1atSnANMnlJs5iRffv2AYgc\nhZidmfM7cOAAgGh9fI/QUqnkFKSSS+J15BD4KdPCKVpDOQWFQhGDcgoLhE4UcOl02lFGmVPA5wYo\nBxeLRZf4VHIUpNbUG+RyOeciTTmd8vvs7Ky7jtzJ9PS0a4NUtVqtumOk7jLeggpXjrFQKCSqXbVy\nWCInQg5k9erVbtw8R3fxarXqdATyfr84bCqVSsR2dJrvoF2w/W5w/FsM6KbQJh566CEAUfFUaq3l\ny8IXiD7zpVLJsa18OPk/4x6AeNIP3xeC5yqVSsy7kZBVrIF4Wnm/anIqlXIPMZWc2WzWbRRyU/BF\niq1btwKINhG2yw3g4sWLTqRgJiqikRKO7TLeYnJy0m0CLCTDse7cuTN2HcdIJevLXvYyAMtb/OZS\ng4oPCoUiBo19aHP+ZPPPnTvnFGuk0GfPnnW+BaSaqVQqZicH6hxAb2+vY3VJNVOpVEO2W8ZbyLRl\nfo5BmXE4NC/a6Nm3tN+Tqvf19bl2eb1MO8c5UASZmppybZBb4hoUCoUgt+BzCn19fbEy8/6cZP5I\nIOLC/EQwsuweRQt+lsvlROq1TlPMSVBckuNuB11gvtTYB4VC0TlUp9AmqBQLmfrooNMuZNIUab7z\n6xAQjaL32on8C13fzFwaup5UW+o9QtGg7WRFljh+PCoJUiqVnLMSIyzZj+Sq6ADV39/vdArkIkql\nknO2oocidTinTp1yuhNyM7fccktHY72coOJDF8z/UgHFDlo+BgYGmrLMIeVps41O+ln4IeHW2tjm\nBcSzWvnn5mKZ8D0wL9XMSyo+KBSKGFR8aBNkU8nKdiNSqVRMQQfEWfrQsUbtAOHSbH5uRAm/71aU\n0a/10AqdXk8sVKIXcgp+kp1LDZfmrBQKxZzRklMwxnwWwGsBnLHWXls7NgzgKwC2AzgE4M3W2gu1\nmpL3AHgNgAkAv2et/dniDH1pQQ4hxCm0q7iba0HVVtF4MuszQYUdYwRkkdpWykU/sSohTZ6hWAZf\nlrfW4umnnwZQdy4qFotuTDR5Tk1NORmf4eJUKk5MTDhvTvZdLBbd2KigLBaLTulJxypZn0EmeJVt\nsQ8gUlA2i/68XPRP7XAKn0OyxPzdAH5grd0F4Ae1/wHg1QB21f7uAvCphRmmQqFYKrTkFKy1/88Y\ns907fDuAW2rfPw/gQQB/Ujv+BRttqQ8ZY1YbYzZaa08u1ICXC82cXarVaoILaBULMZ8y7D7IFWSz\n2VjtSCBcsYqQWnleL+tP+JzFuXPn2iquKudEE66sQ8E4B+lERarO9qWJ0k9CWy6XXfp7tpXL5Vx7\nNE3Kup6bN28GABw+fBhAxD2QK6BjWjabdU5oISzkb9bNmKuicb140U8B4EpuAnBUXHesdmzFbwqs\nHD0+Pu5eNPrrHzp0yG0CZJ17e3vdd7KzfEjT6bTz5uNL08x3f3x83LHV9OrL5XLuJaHNfv369a5d\n39w3PT2NY8eOAaiLFAMDAy4Ogi+UzNnoK/by+bxj+UN5G7kGfMFlqDX76e3tddmhuI4jIyOJGhl8\n6aWfgkyismnTpth18l76jYQK6jYr4ddKAcs1vdTFiHlbH6y1di5+BsaYuxCJGAqFoosw103hNMUC\nY8xGAGdqx48D2CKu21w7loC1di+AvcDyOi+1C7KYFy9edJGQL3jBCwCEazxMTk46yuXnaOzv73eU\nltSHFDWECxcu4PHHHwdQp4Zr1qzBNddc49pjW2R/pTgARNSNrDbHmEqlXAyDjKr0zY6hcnTNIEO/\nyQGRQsv8lOxn3bp1CepLqi0rP0nHI86LCslSqeTu4fUhTqEZWpkY/cK1lyrmapK8D8Cdte93Avi2\nOP67JsJNAEYvBX2CQnE5oaWbszHmy4iUimsBnAbwFwC+BeCrALYCOIzIJDlSM0l+EpG1YgLAO621\nj7QcxAp1c6ZDk7U26IrrmwpDpj6/PDwQj4cAIk7Az/4slXOkcCdOnMBjjz0Wu06CFJx6jGuuucZx\nGVJuZ0xCs7aoJ1m7dq3LzsyYA4KmPqCuOPzud7+bSJrSDKtXr8att94KoPNqXnNBKO4EQGzMc42w\n7AIF5cIUmLXWvrXBqVsD11oA72k9tpWHkOY5xJ4y8GZ2djaxKcjQ6XZYUIoU5XLZKRpps7948aJr\nnyJAsVh0hW6piJObCTNOMzfij3/8Y7z2ta8FAFx99dUAog2G/bKtjRs3xtoC6hp+bhwAcMMNNwAA\nXvnKVwKIFJN+ePfBgwfdsXZyJ05NTbkXUvqI+LEMQHubRqOgM57zz/Ozr6+v46I4KxXq0ahQKGLQ\n2IcWIKV4+OGHAUQU2mcfN2zYgJ07dwKos/IjIyOJHIc0SUqzn/QBIOXk9TSDbt682Znj6JOQz+cT\nyklJ/W67LfI3k6HepNCs4/Ctb30L3/ve9wDUS66HWOPXvOY1ABC04U9PT+OBBx4AAPzsZ5HzKsWG\nN7zhDcF4BfoMvOlNb0qca4Z2fCQU84dyCgqFIgblFNoEzX9jY2OJrMH9/f2OglOnANSVU75cLT0J\nqVuw1jo53fdKHBkZSZjbisVioj5DqNw8z0nlG/US1113Hf7t3/4NQD3hyZVXXplQ1MnqWPxOjqK3\ntxevfvWrY9dTz3Do0KFEMldF90M5BYVCEYNyCi0g60XKz0ZodX4xIZ1v+L2Z+Wzr1q2OU6B+IpPJ\nJJx4+D+dnxrh5ptvBgD84he/AAA88cQTyimsQOim0CbImpN9B5rbw6V5K5QbMXTMfxnbzcs4V/v3\nM888477TrNkMrUx+3IBkTMN8sZhxBo18EkLoAh+DJYOKDwqFIgblFFqA3AAViblcLlHPYXZ2tmmq\nM99rUXpAytRlflUnqZgMUTW/olSIqso+KSLs378fAPDkk0+6mAQ6O4X6klxSKMkMPSU5DopQp0+f\nDjoZsfTcPffck2jLx2233ebGJh3IQoVxfccjGQLuOyM14kDaSbVGb85LlXtQTkGhUMSgnEIL+C7K\np06dcm7CdHPOZDIuXwBj+YvFojNJ0oGIeQ9WrVrlXGaZ42DNmjWOCvtOTtu3b3cFaZtBUq4vfvGL\nAOIUz485WLNmDe64447Y/Px25P+9vb1tRR7SDFooFIIUl/PavXt3y7bWrl07r2pO84XkLOiUxXW8\nVJ2pdFNoEzJUlxp1hgUXCgVn+6eGfnp6OvHw0JNPvih84NPpdKxQLFB/GdevX99x1p89e/bE2geS\nAVFbt27tqFp2K/jl4Hbs2BG8jiLLK17xigXre7EgFcLcOKWy+VKEig8KhSIG5RQ6RKlUcl6LTLwi\nk6YwrgCoh1aT8pOLmJqacslBZFFUejSSIpEN37dvn6NYTD+2e/du10aIe7j++usB1L0XG6ETk1+r\na+mfwHmzhH0rlMtlx12wD0Zkhsr0hTA2NtZWOXoZ7t5p1KOvHL5UcWnPTqFQdAzlFDrEunXrEnUL\nrLWJegEycSo5CkZNygQssn4BdQ9+/YSxsTGnG2AbPT09jmOh8i+UvIVKy2q1mjCNypwPpH65XK5h\n7INsQ97HDMkPPvgggLrOYM+ePU6vEqqnQC5penracUA8RipeKBQcdQ/lTuA6G2OcIrcZR8P20+l0\nQvEaSnRD7kP+Zpc6dFNoAb6YfBkqlYpTzrWbxp1sdCv2m2KD//AVCgV3rwzH5ovMMYY8JrnRzM7O\ntlVhOp1OJ/p/6qmnYn0Ddb+N06dP47nnngNQz5f4ute9Ljau0Jz8ee/atSt4nczeFPIC5ebR19fn\nrm3macrN1RjjxLNmkKLCfDI6rSSo+KBQKGJQTqEF/MCiqamphOfhXNqcL9WRbYS89CTLD8TDtUOQ\npd58juKhhx5KXE+l6dq1a/HSl74UAHDTTTcBqHNQskhOqOy8POeHo/tz9e/jdRQBJicnW3opAvXA\nL1m6ngjFq7BGBVBfo+X0m1gKKKegUChiaJnNeUkGsczZnEnFaBbr6+tz1I4KMMrTraiEdDLyk6s0\nK166UiF1G4uNdor3yu8hHUu7z7uv25BFfueqcOwCRWVb2ZyVU1AoFDFc9jqF2dlZZzKknDwyMuK0\n9r71oVEblG1lKXVqt/nJxKdjY2MufwHTrl9xxRXBJKc+aJ7LZrNBTb2fLk2CiWBpMmzEuZCa+vkQ\nMpmMM8dSV1EsFp3VwUelUmlacDdE0aWJEYj0ATwm14c6CI4jl8u5teQYZVIYWiZovrXWuvZk+rtG\nZkppebnUcdlvCsYYl0WZD8DExITzTGSW42becrOzsy7HIT3w0um0e1lkCTS273stzszMNNwUJiYm\n3GbAl2B4eNhdT3+JcrmcMLNxcygWizGlIz85DikCcB38WhMcg5zL+Ph4YlNgP6Ojo+4cFXzZbNa1\ny89Nmza5MfEF5bhHR0fdC83fIp1OJ4rUyt/Mf4ErlQoOHToEoF5rIpPJxArWEtyMZJHcUJuXMlR8\nUCgUMbTkFIwxnwXwWgBnrLXX1o59DMDrAJQBPIuoPNzF2rkPAXg3gBkA77PW3r9IY18QSCcWUox8\nPu9YT1JhUslQ6HA6nXZVlEh9stmsu5dUTzrO0OmGYkSzBCnVatXFRbA0m+QqSGWr1arrMxRvQapH\niirHQeq+bt26RCFV2Sa9FyleWWsTa8PxTExMOA6LXEEul4utMxBRclJijpuizZo1axz3xbGOjY25\nMUkOg7U3/CjGnp6eRITqyMiI44BkwV1+59o3Eo0uZbTDKXwOUW1IiX8GcK21dg+AZwB8CACMMbsB\nvAXAC2v3/E9jTGtBWaFQdA3aMkkaY7YD+A45Be/cHQDeaK19e41LgLX2o7Vz9wP4S2vtj1u0v6wm\nSRnDAIQTjnSazwCo6xJCzjd+7EMzs97MzEzTJLCk1OfPn3cUlxQvFBfBuUxPTyfSmq1atSoRN0GK\nLh2Q+H1qaioWj+HP3x9vpVJx4yXnJNejXfgxGKG4iJACkxzR7Oxs0yQpIeXmfLFSTJILoWh8F4Cv\n1L5vAiDd347VjnU12in2OpcftNGL3iyDcwitHky++M2yM4X6aWR9YH++cjVkQcjlcg3XplGffr8L\nubaN2uOc2n3JF3IzWGmY16ZgjPkzAFUAX5rDvXcBuGs+/SsUioXHnDcFY8zvIVJA3mrrMshxAFvE\nZZtrxxKw1u4FsLfW1vK7VSrmhC5giRULjDmZJI0xtwH4IIDXW2snxKn7ALzFGNNrjNkBYBeAn8x/\nmAqFYqnQjknyywBuAbDWGHMMwF8gsjb0AvjnGqV4yFr7n621vzTGfBXAPkRixXustcnwuC6CUjqF\nIo7LPiBKobiMoAFRCoWic+imoFAoYtBNQaFQxKCbgkKhiEE3BYVCEYNuCgqFIgbdFBQKRQy6KSgU\nihi6JR3bOQCl2udyYy10HBI6jjhW8ji2tXNRV3g0AoAx5pF2vK10HDoOHcfijkPFB4VCEYNuCgqF\nIoZu2hT2LvcAatBxxKHjiOOSH0fX6BQUCkV3oJs4BYVC0QXoik3BGHObMeZpY8wBY8zdS9TnFmPM\nD40x+4wxvzTGvL92fNgY88/GmF/VPoeWaDxpY8xjxpjv1P7fYYx5uLYmXzHGtM4uO/8xrDbGfN0Y\ns98Y85Qx5jeWYz2MMR+o/SZPGmO+bIzpW6r1MMZ81hhzxhjzpDgWXAMT4X/UxvS4MeaGRR7Hx2q/\nzePGmP9tjFktzn2oNo6njTGvmk/fy74p1OpC/B2AVwPYDeCttfoRi40qgD+21u4GcBOA99T6vRvA\nD6y1uwD8oPb/UuD9AJ4S//8VgE9Ya68CcAFRgZ3Fxj0AvmetfQGA62vjWdL1MMZsAvA+AL9WKymQ\nRlRLZKnW43NI1jlptAavRpRycBeiJMSfWuRxLE29FWvtsv4B+A0A94v/PwTgQ8swjm8D+G0ATwPY\nWDu2EcDTS9D3ZkQP2ysBfAeAQeSYkgmt0SKNYRWA51DTM4njS7oeiEoCHAUwjMi57jsAXrWU6wFg\nO4AnW60BgP8F4K2h6xZjHN65OwB8qfY99s4AuB/Ab8y132XnFFB/CIglrxVRK3bzYgAPA1hvrT1Z\nO3UKwPolGMLfIEqEy4otawBctNZWa/8vxZrsAHAWwD/WxJhPG2MKWOL1sNYeB/DXAI4AOAlgFMCj\nWPr1kGi0Bsv57L4LwP9ZjHF0w6awrDDG9AP4BoA/tNaOyXM22nYX1TxjjGGdzkcXs582kAFwA4BP\nWUQd3AIAAAHMSURBVGtfjMjtPCYqLNF6DAG4HdEmdQWAApJs9LJhKdagFeZTb6UddMOm0HatiIWG\nMaYH0YbwJWvtN2uHTxtjNtbObwRwZpGH8TIArzfGHAJwLyIR4h4Aq40xjE1ZijU5BuCYtfbh2v9f\nR7RJLPV6/BaA56y1Z621FQDfRLRGS70eEo3WYMmfXVFv5e21DWrBx9ENm8JPAeyqaZeziBQm9y12\npybK7f4ZAE9Zaz8uTt0H4M7a9zsR6RoWDdbaD1lrN1trtyOa+wPW2rcD+CGANy7hOE4BOGqMubp2\n6FZEqfqXdD0QiQ03GWPytd+I41jS9fDQaA3uA/C7NSvETQBGhZix4FiyeiuLqTTqQKHyGkTa1GcB\n/NkS9flyRGzg4wB+Xvt7DSJ5/gcAfgXg/wIYXsJ1uAVRIV8A2Fn7YQ8A+BqA3iXo/0UAHqmtybcA\nDC3HegD4bwD2A3gSwBcR1RhZkvUA8GVEuowKIu7p3Y3WAJFC+O9qz+0TiCwmizmOA4h0B3xe/15c\n/2e1cTwN4NXz6Vs9GhUKRQzdID4oFIougm4KCoUiBt0UFApFDLopKBSKGHRTUCgUMeimoFAoYtBN\nQaFQxKCbgkKhiOH/A6K4XjRuPPU+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1118d5090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9t+OzEFOBI3ndDBHpA7rtPpjZSmAGMMLMGoH7gPuB1Wa2CHgPuDne/AXgWqABaAEWJtBm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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111947710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for x in (red,green,blue, alpha):\n",
" plt.figure()\n",
" plt.imshow(x, cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x111d0f150>"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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gKelGRka6KD+hr6+PnZyIFfT19XUljKFtj7ktIJNdPp/nfklqmiHL0SjDdrsd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\nLCwsQrCLgoWFRQj/P3sjfzpfoc0TAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1117acd50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"image = np.empty((width, height, 4))\n",
"image[:,:,0] = red\n",
"image[:,:,1] = green\n",
"image[:,:,2] = blue\n",
"image[:,:,3] = alpha\n",
"image = image.astype(float) / 255\n",
"plt.imshow(image)\n",
"\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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