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@AngryLoki
Last active August 29, 2015 14:15
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{
"metadata": {
"name": "",
"signature": "sha256:26401ac768c87cb00ea479156360446603127df1bbaf22f85b54ff82fd24d322"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"\u0418\u0437\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438\u0437 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"\n",
"from PIL import Image\n",
"from urllib.request import urlopen\n",
"from io import BytesIO\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u0417\u0430\u0433\u0440\u0443\u0437\u043a\u0430 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"im = Image.open(BytesIO(urlopen('http://habrastorage.org/files/1de/a97/858/1dea97858ac9488ea8211f59517073c8.png').read()))\n",
"\n",
"figure(figsize = (8, 8))\n",
"imshow(im);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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nKC2NivBwrAEBnHzoISpjY7luxQrKtm9HK7/UFPv5oSktxRoQQIjDwWiTCUmrJWvoUA7e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\nkiRJkiRJkiRJkiRJkiRJkiRJklSJ/D/frEbTxwxWDgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa881d907f0>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u041a\u0432\u0430\u043d\u0442\u043e\u0432\u0430\u043d\u0438\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0434\u043e \u0442\u0440\u0451\u0445 \u0446\u0432\u0435\u0442\u043e\u0432"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"im2 = im.quantize(4)\n",
"\n",
"figure(figsize = (8, 8))\n",
"imshow(im2);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ze3dUGzbwVIGay2XVp08fE0VVMXIjIritV1Cj1ty5pCxZglU55scVoiqTO2BR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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa87f6e3da0>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u0412\u044b\u0431\u043e\u0440 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u043f\u043e \u0438\u043d\u0434\u0435\u043a\u0441\u0443"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ima2 = np.asarray(im2)\n",
"graph1 = ima2 == 1\n",
"graph2 = ima2 == 2\n",
"\n",
"figure(figsize = (15, 15))\n",
"subplot(121); imshow(graph1)\n",
"subplot(122); imshow(graph2);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ISApLiuSsGz+Zy3fwvLl8CnPcCEdEREQkqZ3KTLbRwO0wRMRhSZGc/UQ3v+XW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\nEh/DGeN2CCKSdPIJt34MZ0C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URzol4+rHRA2lfxrwTcXybKBngq6b6j4EHq5YrgSUAT3w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\nRERERERERERERERERETc9/+290hfgSOvSgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa87f48d9b0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u0421\u043e\u0437\u0434\u0430\u043d\u0438\u0435 \u043c\u0430\u0441\u043a\u0438 \u0434\u043b\u044f \u043e\u0442\u0431\u0440\u043e\u0441\u0430 \u043f\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Xg, Yg = ogrid[:graph1.shape[0], :graph1.shape[1]]\n",
"mask1 = (Xg >= 30) & (Xg < 350) & (Yg > 130) & (Yg < 800)\n",
"mask2 = (Xg >= 250) & (Xg < 500) & (Yg > 400) & (Yg < 1000)\n",
"mask = mask1 & ~mask2\n",
"masked = graph1 & mask\n",
"\n",
"figure(figsize = (17, 17))\n",
"subplot(141); imshow(mask1)\n",
"subplot(142); imshow(mask2)\n",
"subplot(143); imshow(mask)\n",
"subplot(144); imshow(masked);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA9cAAACACAYAAAABFJr7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5v8B/cWEbdu31ywAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa87f4793c8>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u041e\u0431\u0440\u0435\u0437\u043a\u0430 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xs, ys = numpy.indices(masked.shape)\n",
"xi, yi = xs[masked != 0], ys[masked !=0]\n",
"cropped = masked[xi.min():xi.max()+1, yi.min():yi.max()+1]\n",
"\n",
"figure(figsize = (8, 8))\n",
"imshow(cropped);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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QlUyxOgwR7uF9OnOCYlq4DT3J4xwPsIAV3MYhegNQQnO2MZLrNLEi3JhXRnbQ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\nEREREZFY8/8BQsjNmGOa/0QAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa87f348828>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u0418\u0437\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435 \u043e\u0441\u0435\u0432\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xs, ys = numpy.indices(cropped.shape)\n",
"xi, yi = xs[cropped != 0], ys[cropped !=0]\n",
"\n",
"d = {}\n",
"for x, y in zip(xi, yi):\n",
" d.setdefault(y, []).append(cropped.shape[0] - x)\n",
"\n",
"y_values = list(d.keys())\n",
"x_min = [v[0] for v in d.values()]\n",
"x_max = [v[-1] for v in d.values()]\n",
"x_mid = [(a + b) / 2 for a, b in zip(x_min, x_max)]\n",
"\n",
"figure(figsize = (8, 8))\n",
"fill_between(y_values, x_min, x_max, alpha=0.2)\n",
"plot(y_values, x_mid);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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uiztfcpRFGErMvV73+2YFp6MqBSsr4m6USqnF3emozM2ZHDumsLTkYds6liVZ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\ngdZV3JyDZtJMYpeP5KI5D82kD8/z8IlPZPBLv7SGiWgvYhu6jqJzmxX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kgd4qDMPA1BSG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\nERERERERERERERERERERaYT/B0kLWKv3rcbeAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa8b2f92cc0>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y_values = list(d.keys())\n",
"x_min = [v[0] for v in d.values()]\n",
"x_max = [v[-1] for v in d.values()]\n",
"x_mid = [(a + b) / 2 for a, b in zip(x_min, x_max)]\n",
"\n",
"figure(figsize = (8, 8))\n",
"fill_between(y_values, x_min, x_max, alpha=0.2)\n",
"plot(y_values, x_mid);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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uiztfcpRFGErMvV73+2YFp6MqBSsr4m6USqnF3emozM2ZHDumsLTkYds6liVZ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\ngdZV3JyDZtJMYpeP5KI5D82kD8/z8IlPZPBLv7SGiWgvYhu6jqJzmxX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kgd4qDMPA1BSG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\nERERERERERERERERERERaYT/B0kLWKv3rcbeAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa87f69cda0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x_dither = [el[i % 2] for i, el in enumerate(zip(x_min, x_max))]\n",
"figure(figsize = (8, 8))\n",
"plot(y_values, x_dither);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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G5aD7+vzTNyquiHvtWrnAqxDbgjY+7g1NMlcdihtvjo15om476FJJirweekgq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\n3wLg45CCsDcB+BuA+wB8BUAeQC+AXQH83bXz/Pn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"text": [
"<matplotlib.figure.Figure at 0x7fa87f516da0>"
]
}
],
"prompt_number": 9
}
],
"metadata": {}
}
]
}
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