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@sergeyk
Last active December 20, 2015 11:39
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Computing average pixel of a masked image.\n",
"\n",
"Sergey Karayev for Holger."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Load an image.\n",
"\n",
"from skimage.io import imread, imshow\n",
"img = imread('http://i.telegraph.co.uk/multimedia/archive/01428/darwin1_1428734c.jpg')\n",
"print(img.shape)\n",
"imshow(img)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(288, 460, 3)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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FGEGk6/S9o217stJgvaVta8bTWcrM41+uTfmuyw//KiaE4O//+q+RHx1jjeGz9ZbOetq2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\nDc4PFInC6Azbt7x8+Zx33nmHl9dX6DQ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nr3O/346p4yoKRFTMUgyDixmrvcPZWEEVecF2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sAAAg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I12\nIhRPQtVmQUpDbzQBJLaqEL7A7/XoKzDpkjpP8aRBNxVka85OTqnqgnv37vHee2/gS40QDVpb4jjh\n7HKFQLkNWxn8eNy2ZRSbTUEcD4iTMYtlTlO7eYi1S37gMy/zxlvHbNIFe/tT1ukCXTeEgx6h9Wlq\nQ2FKlPRpKidbpU24mYyGaAteEDkpm/BxOueIwXDAIl2jk5usFpdsMkNxUfP66Zw0gJ0I7kyn3Bp4\nZBcnyGzFQMBFvOfUFVWDbVwYshfEVLVAiLZt0YDWAmvVdrhn2j6vEDhjlhXbgT60rQ3P2/aKt3Ml\n61C4lmuWvhFgjcFXyjmKteOG+9INrcu6QngubEIIR6E3jSYZONa4UgLdXA8gOws+QiC863bH97Y7\nt7A08UTCffv+qhb/INX18/l+gNYG0/5Mg1OhYRs8ed0aspat+qRTvrnvvVa1SOkAtG4W54bFcRy7\nXFbpEwURabp0yOcwacn7BiU9V9kDYRhtgXXf7/EJBktoev2Qo6MD3nzjMXXVYKxGm9JJ79qABm0a\nHp+cEEYKpTxOL84ZDSfs7e2R521u5VXJsJ8glaWqUwZJz/XuEBRpttXZrlYrqA1BFBPFAWUzQ6K5\nefMWV1dXWGvZO9jn9PSUYrOisS4sN45jokDx8OF9pv0ET8CNowMkGqsNo2FCXTWUdUUQ+Ax7CYHv\nsVo5d9vR4U1mswVx3CPPCqyAOOlzenbO/v4+qyxnMBgglEfRaIpGo1OXKpL0BsxXa5KeT545R5iu\nHO8lVYoojpA2YtSP2WQpjdH4KkR5ksaCkh7GGk4uzrcu0y5tpmkkVoTM5mt8L+Tx40tu3LjF+Znm\nxu5nwUr+4X/3Dzg5vWCyt89Tz7/EcLRLECY89dKLfPFHfpQHjw1WZPzF6Tf4zd/4DQb9PourS376\np36SNM157fXvkK5Tdg4OqVVAURs2ZcXywUOevnmD5aMP0XXD6fEjwiRCFBmhgshUJFLz9O0DRK/P\n+WbNEZrEanSpSQY9RzAUTvqGdsOxIPAcAAWwnfRUAk0BZYE1FVIXZKtLZzxrerzyyivMr855/duv\ncevokN3dIW+/8Sp3n3qeMBpR1adO9SE11l+xLi9ZLUoEIUHQY3fvaQQzmqYi3JGcnH6E5wvOL44x\nOmfQC/jzr/wpP/j5z7Kzf8gyLbg4vULZELTH7uSQWm9QqqHOU/4f5t40VrbruvP7nXmque48vJHk\n4ywOFilLlmxFbjlx2+7EidSR2nECyRmcfEhgI2hEAdp2GojRSIBO2oDTjruDNuBADtxu2YK7JasR\ntwZboiiJfBQpUuTj4xvuWPdW1a3hzMPe+bBP1X1UkzDgL0oBF3jvVt2azjlrr73Wf/3+RV6R5wLb\ndJAY6LZLJUBicvvWPl7gk+YZqystkllEe71HYQXcPJkz/P6YcHRAyyz46OU1Ht9c4/JuEzE+YXhy\nimVZBIHiaVe1obhZgWnbiBpRZWkuaJDIiDxXln9SSizDwLIMkihWwVBX6jPbthFFvqxjCySaoaML\n6lF/HdOxa5VKLePLlEF3q9GkKCqGp2NM28ZvNIjjVAUtQ4dK4tsOCCU4yLOShu9i6uoaztOISoBR\nyxHjLKXZbBKG4VJ1ptdN2iJXbJpFzVqiNO9FmdT8dqUmSfNEzaLYAUmRocgEOrp+Lic+f25jWTsX\n9dTowqNg8ZPGGaal41rqujR1g9HwlKA2yJ5O52ytbwA6o9mwXhBUIqfrJbJQfY2G471rNP2hBXJl\nhhBRVmrwRpOqg1vkdfNFVxeppql6cIXEsi1gsdqqg+14DpomyLKEoOGi1ytkkiRojkNRG7FSf6l5\nkRImc7K8xHNdTN1Sk6OuarTmWQKywrZNsvlcZQBVwfB0QOC7lFmOYapxX8c4N8I1dGU2kacphuOQ\nRjFxlNJudWm1OqSpapLqpiKcubaFZlrEmQrspRCKAz2LEVIjSZX1F4aJWV8saZIvgfqGYVAtR65L\n8lIZU4hae257PlpVksUZQkpKoaNLC4Ty5dR1tYWbhwVZZlMUBuvr12i3e/T7qzz7+EcoqpJmZ4V5\nZpGWGl57iz/+0pe49t73k2YFz33nZf7Hn/4PGAwG/N4ff5b3f/gDTE9P0Y2SwdE+N15/A89v4hk6\ntqass4QESUW73WU6n6E7FpgGbsNjcHbG6uoqDdfj4MYN/Crhgd01XvrelNHojEcefy/okqrGHQhR\nKv2xFMiiblS7DrLuUUix0AMDZU5ZJIhC9QYMDTRDucDPwilhGNLv92k0AqaTGULq9NtdKiHY2rzA\nLJph5SWtXkMNh2mQZwVrqyt4bpuLF/vkRcZwtM/G+hZJNmM6GxOGGesbqxiGTqPRYDgcUkoTx3EJ\nw4jhPETTujQaLRpNk9OjAwzdUNma1Ag8Z+kcM5qc0d9Yw2943Lpzm8tNDSstMfOI0UkEp1OyXhOh\ndZjlGS/tZUzmE443TD767IfpXP9KnTVXtXZbIMoUTQoM3QApEfVIv5QatTGT0m4jqKREK4WypJML\nBYni9CwIgAKVLS8mJ+9tFt6rgjEWGXJ9k1KiSWj4PnGaYZoGumGQCYFtmsTLhULB36qK5Q4ABIZp\no5sGCKM2JRe1a71OKc916NzzHqgbmMrwouao1EyZBZRLyhpjWzd0NV0ZqCwVKfe8/4VYQt7TLF3c\nt4BtibKikDV8rBDKfakSavEyDIpSoBug6ar0pKNKp57p4Dea7xpPf2iqFdu2OT094fT0tDaGTdnc\nXF9+WYvRYsuycANFB8uzst4WabVCwKDf7dHvdaDWeqMpc1pqWdVCcXJyckIcRRRFTjibkaURm5vr\n9Hq9pUplwciIoogiz+l0OgwHJxztHyynyRZyrrS2Tmt3FLlRyJKkrsMu6HOmadNqdUiShFIIokSt\n/LajaoDtTgeJTpqXWI6H4zfQDAPNMAijhOk8Yng6Vp15jFq/qi2VKLbrkOYZsyhUxMUkxrZddMvG\ncwNcx1cGAeh0OptYdpMsMyhLG9PoYBgtwrlOo7HJ7s6jfPxj/wU/9oGf5dlnPspsliKlxY3bh/Q3\ndkixuDMa8x9/+j+ntbFNqpus7lwklxr/5i++Tme1zWQ2Yh5N0WTJ5PSQJx+9xuZKhwubK+hVQZnG\n+I6Jb1v01lYpkdgNn1wrEZbOe556ku5Kl1k0ZXN7g/sffoCwSvnO9Zd44fpLGLaF4/j14FKKrOqM\nXCqaI5oE2yaMEnTDQNbqJRBgmRg6RNMziiSk2fDwHBudqjYbXufatWt0Ol3G4xmm4RI02miaxfrm\nDqblohsO3V4P21XGBELqShaqu3jruzh2gyTJ2N69QLPV4uLFixRlRlWV3HftPhoNnxs3bpBlBWtr\nGwgB4TxW50mzzerKOp7nKUWQ0JY+p77vM48TsizHMm2QBllakAzepBzdRZsP8JMEsgo7tUhfPSSe\nGBxFPl/8zh3+rz97gVdCn+2LF2l2u6RlTikKdENdK4YJloHSY8uSIk/J8uhcVWKqrFYIZbqwUItU\nVbU850uh1GKLEoau66q+bpro1vnQTSUFRXWurFkM1ziOs9w5A9iGqWrzlahr9JXys9TOPTWTJFrO\ncJSiWg7gqLH76p6JzPNA/oPkQlXPLymK7BymZdog9WUQV8NT95ZK9Lc9170MFjincy7UJ7puKpCe\nEJRFRZ6kdFpdZRYfp9i2zcnJCcOTEWpt00GaiAqKUiCFTlYUip/0LrcfWrPzIx99P5tbaxi6JInn\nSKG0lO12H8t02D/coxKVypDCEiEFnm8jKMmzAtNwiKOM6XSGaWpE8QzfsUCWxFGEZZnoUmCbNp7t\ngJQUVU6j4dJf7dFsN5jNRqSJOoB37txRPJUootPpIFGa77TI8YOAsiyJoohOq4Om61imhRQVlRDM\nZyF5UWJaDrbrsXPxEkUpmI2neG6AZprKuV7XSLMU01YBuJSQC+rpS4ckmZMVFZph1hOIOs1uB6lp\nhFGsmp+13K4sBZgaRa6MqUuhdL5e0GA6jTg9m6LpNmkmkLrDbAxFbtMINohCnU57h6ee+gn+zid/\nmSfe8yF2dx5iPKooC4+y8DH0nK2diwyTlGkluPbU03zsv/yvWLl0kVGW8pGf+Wl+5j/69/ndf/ZP\nefSJx7lzcoujO7c43b/N+OSAT3/yY4g85u5bN/FdC8c2SfKcxx59hHg+QwYNJtEEw9OVk1DgUgrB\n/v4Blm3x8ENXORwe8b03X2O3vYJtOfzc3/xZdF2jKitsz0OXQqUiUvGsMU2oKmzLVqpDx0a3TShi\nEAW6rWNkMVWR4Xsuo+EAKQUn4zNW19Yw/YB0NlcGIELgegG37+xxdHLChYuXcfyA48FtskKys/MQ\nrtOmKCx2LlxjPjzjtVdf54mnn+DVV77LbD7hxesvEGUpUkcZY0uodJvJPGX/aEx7/Sqvv3XA0SjB\n8ZsUEqokIstS0CS9lT5IyXgyZbS/R2dzE3SdRqNJluZMTm+xc+kSopTISGKEAn0qWOlfoGe1SVPo\nb14Gv8M33rhDfPtFgu4KH/ixDzGZTXnPE4/i+g5JGuM6OlIvMUy1a/UCmzyvEHVTM2gESCBL1Q7P\nMi1cT2nXhZTLISMhxFIBVhQFFSrwtTpthFQ7ZcdxKNKMLM/xPI80zdDQ63KHJC/V61ZCgK6slN3A\nASnQdUnge0wmYzqdjnovjoWh6zXHKMaw7KXc0jQtiqXpsU6W52iavgzIZVniuhqGWeNvhUSiIaUO\nmk6aFJimpRIDqeZPFrV15dmp+nue5ynVG4CmLwerdF3HNlyqSmAaOkkUkqYZ7VYLy7DQAcf0cB0f\nXdcpBFimQxjGmLaHH7SwbBvL9nBtl3/+xdf+/9XszLKMRitgNp1iGvpyxH0wGIDUaTRaVFVBGMZk\nmY6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fy/kcR5X2FiqTxXl7b4kAWOrJF/e5rlvLAZW2HNTou6hH4GWteLlXHaL6QfrSkUgI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Aiw12wwsaZIioIoC/i+y2DYI5PROX7iKOZkwu7+HhuHD3Fre5tcqUw2X6DTH7DfbKWBEkHE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\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n5wNu33/EPA5RNAO9YaLIBd1OA81QmEz7PH+5C6HH3e9/m61OEzfw2Ds4oNlqMxz0WboO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\neeYZ7ty5w82bN/n5n/954OKMvjnyPOfpp5/mIx/5CPBdej7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"text": [
"<matplotlib.figure.Figure at 0x10bfeecd0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Make a mask for it: just a square in the middle of the image.\n",
"\n",
"mask = np.zeros(img.shape[:2], dtype=bool)\n",
"print(mask.shape)\n",
"h, w = mask.shape[:2]\n",
"mask[h/3 : 2*h/3, w/3 : 2*w/3] = True\n",
"imshow(mask)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(288, 460)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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mi6dxffIa8lQqpdWrV2d/9nq9SqVS+ZzCE2tsbExut1uS5Ha7NTY2JkkaGRmR1+vN7vdv\nXLOhoSH19fWptraWdXrAvXv3FAqF5Ha7s5eiWKO/vffee/rwww+1YsXfqXsa1yevIXccJ5+Hs5bj\nOHOu1b9pHW/fvq2GhgYdP35cK1eunPEY6yStWLFC/f39Gh4e1tWrV/XVV1/NePzfvEaff/65iouL\nFQ6HH3nL89OyPnkNucfjUTKZzP6cTCZn/A34b+Z2uzU6OipJSqfTKi4ulvTwmg0PD8vj8SzLHPNt\nampKDQ0N2rVrl+rr6yWxTo/y3HPP6dVXX9WPP/7IGt337bff6uLFi1qzZo0aGxv15ZdfateuXU/l\n+uQ15OvXr9fg4KCGhoaUyWR07tw5RaPRfE7hiRWNRhWLxSRJsVgsG65oNKqOjg5lMhklEgkNDg6q\npqZmOaeaF8YYNTc3q7KyUvv27ctuZ53+duPGjewdF3/++acuX76scDjMGt3X0tKiZDKpRCKhjo4O\nvfLKK/rkk0+ezvXJ96erly5dMuXl5aa0tNS0tLTk+/BPhB07dpiSkhLjcrmM1+s1Z86cMTdv3jR1\ndXXG7/ebSCRibt26ld3/6NGjprS01FRUVJju7u5lnHn+9Pb2GsdxTDAYNKFQyIRCIdPV1cU6/cPP\nP/9swuGwCQaDprq62nzwwQfGGMMazeLKlSvZu1aexvVxjOH78gBgM77ZCQCWI+QAYDlCDgCWI+QA\nYDlCDgCWI+QAYLn/AvSt3bhZkO/WAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10bffd5d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Dan's method is almost correct, but the broadcast needs a little help.\n",
"try:\n",
" masked_img = img * mask\n",
"except Exception as e:\n",
" print(e)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"operands could not be broadcast together with shapes (288,460,3) (288,460) \n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# We simply need to add an empty third dimension to the mask and it works.\n",
"\n",
"masked_img = img * mask[:, :, np.newaxis]\n",
"imshow(masked_img)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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P+PjjH6Ox1+Z/+Ddf4oUXb9Jo56ktHSXNCQ7Nm1zb/ipaHHNu5gxztTMY4THy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\nvTifPijTFxoAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c1762d0>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Now can add the img pixels in the first two dimensions to get the average pixel.\n",
"\n",
"N = float(sum(mask))\n",
"avg_pixel = sum(sum(masked_img, 0), 0) / N\n",
"print(avg_pixel)\n",
"imshow(np.ones((100, 100, 3)) * avg_pixel / 255.)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 140.66428377 139.55752996 107.2329793 ]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x10c17ba50>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Let's try another method, where we unroll the image and the mask\n",
"# to be 2d and need to do only one sum().\n",
"\n",
"masked_img2 = img.reshape(-1, 3) * mask.reshape(-1)[:, np.newaxis]\n",
"print(masked_img2.shape)\n",
"\n",
"# Just to confirm, reshape back to original shape.\n",
"imshow(masked_img2.reshape(h, w, 3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(132480, 3)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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P+PjjH6Ox1+Z/+Ddf4oUXb9Jo56ktHSXNCQ7Nm1zb/ipaHHNu5gxztTMY4THy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\nvTifPijTFxoAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c2e68d0>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# And get the average pixel (it's the same).\n",
"\n",
"avg_pixel = sum(masked_img2, 0) / N\n",
"print(avg_pixel)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 140.66428377 139.55752996 107.2329793 ]\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Holger's method\n",
"print(sum(img[mask], 0) / N)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 140.66428377 139.55752996 107.2329793 ]\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Let's time the two approaches.\n",
"\n",
"# Dan's approach:\n",
"%timeit -n 100 sum(sum(img * mask[:, :, np.newaxis], 0), 0) / N\n",
"\n",
"# My approach:\n",
"%timeit -n 100 sum(img.reshape(-1, 3) * mask.reshape(-1)[:, np.newaxis], 0) / N\n",
"\n",
"# Holger's approach:\n",
"%timeit -n 100 sum(img[mask], 0) / N"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"100 loops, best of 3: 1.42 ms per loop\n",
"100 loops, best of 3: 3.06 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"100 loops, best of 3: 1.56 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dan's approach is more than twice as fast as mine!\n",
"This makes sense: reshape() creates a new array."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Numba"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Just for fun, let's try out Numba.\n",
"\n",
"def average_pixel(img, mask):\n",
" return sum(img[mask], 0)\n",
"\n",
"@numba.autojit\n",
"def numba_average_pixel(img, mask):\n",
" return sum(img[mask], 0)\n",
"\n",
"print(average_pixel(img, mask)) / float(sum(mask))\n",
"%timeit -n 100 average_pixel(img, mask) / sum(mask)\n",
"\n",
"print(numba_average_pixel(img, mask) / float(sum(mask)))\n",
"%timeit -n 100 numba_average_pixel(img, mask)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 140.66428377 139.55752996 107.2329793 ]\n",
"100 loops, best of 3: 1.71 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 140.66428377 139.55752996 107.2329793 ]\n",
"100 loops, best of 3: 1.54 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's hardly a speedup! Let's get closer to the metal."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def average_pixel_for_loop(img, mask):\n",
" h, w = mask.shape\n",
" pixel_r = 0\n",
" pixel_g = 0\n",
" pixel_b = 0\n",
" for r in range(h):\n",
" for c in range(w):\n",
" if mask[r, c] > 0:\n",
" pixel_r += img[r, c, 0]\n",
" pixel_g += img[r, c, 1]\n",
" pixel_b += img[r, c, 2]\n",
" return pixel_r, pixel_g, pixel_b\n",
"\n",
"print(average_pixel_for_loop(img, mask) / sum(mask))\n",
"%timeit -n 10 average_pixel_for_loop(img, mask) / sum(mask)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10 loops, best of 3: 470 ms per loop\n"
]
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@numba.autojit\n",
"def numba_average_pixel_for_loop(img, mask):\n",
" h, w = mask.shape\n",
" pixel_r = 0\n",
" pixel_g = 0\n",
" pixel_b = 0\n",
" for r in range(h):\n",
" for c in range(w):\n",
" if mask[r, c] > 0:\n",
" pixel_r += img[r, c, 0]\n",
" pixel_g += img[r, c, 1]\n",
" pixel_b += img[r, c, 2]\n",
" return pixel_r, pixel_g, pixel_b\n",
"\n",
"print(numba_average_pixel_for_loop(img, mask) / sum(mask))\n",
"%timeit -n 100 numba_average_pixel_for_loop(img, mask) / sum(mask)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[140 139 107]\n",
"100 loops, best of 3: 304 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 36
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Man that's fast!\n",
"\n",
"![](http://i331.photobucket.com/albums/l453/spacecowboy5555/wtf/surprise.gif)"
]
}
],
"metadata": {}
}
]
}
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