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Image outliers correction with numpy.
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline \n", | |
"\n", | |
"import matplotlib\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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u+djuCcQsqXUjenvKLiciJkd3Rl2P16idV5kV3Hby7xbELN/B26At0fFMe15N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rAryff1c7WnZ/UphwO4JiJWR5rD/oh+qLc2p9BaAD4E4EvZd+33ursYgzUQ37vGwQA0q9dA1t1j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\nkiRJUm/8fz2w13ah++Z9AAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x22582e947b8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"w = 50\n", | |
"h = 50\n", | |
"source1 = np.random.uniform(0,5,(w,h))\n", | |
"\n", | |
"for i in range(w):\n", | |
" for j in range(h):\n", | |
" source1[i,j] += (np.sin(i / w) + np.sin(j / h) ) * 5.0\n", | |
"\n", | |
"mask = np.zeros(shape=(w, h))\n", | |
"mask[w // 2] = 1\n", | |
"\n", | |
"source2 = source1 * (1 - mask) + mask * (source1.mean() + source1.std() * 10)\n", | |
"\n", | |
"def outliers_correction(a, b, factor=6.0):\n", | |
" result = (a + b) * 0.5\n", | |
" mask = np.abs(a - b) > np.sqrt(np.minimum(a, b)) * factor\n", | |
" result[mask] = np.minimum(a[mask], b[mask]) \n", | |
" return result\n", | |
" \n", | |
"def plot_image(img, title, index):\n", | |
" fa=fig.add_subplot(2,4,index)\n", | |
" plt.imshow(img, interpolation='none', cmap=\"hot\")\n", | |
" fa.set_title(title)\n", | |
" plt.colorbar() \n", | |
" fa=fig.add_subplot(2,4,4 + index)\n", | |
" plt.hist(img.ravel())\n", | |
" fa.set_title(title + \" (histogram)\") \n", | |
" \n", | |
"fig = plt.figure(figsize=(16, 8))\n", | |
"plot_image(source1, 'Clean', 1)\n", | |
"plot_image(source2, 'With Outliers', 2)\n", | |
"plot_image(outliers_correction(source1, source2), 'Result (A, B)', 3)\n", | |
"plot_image(outliers_correction(source2, source1), 'Result (B, A)', 4)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"4.400434732437134\n" | |
] | |
} | |
], | |
"source": [ | |
"import time\n", | |
"\n", | |
"a = np.random.uniform(0,5,(10000,10000))\n", | |
"b = np.random.uniform(0,5,(10000,10000))\n", | |
"\n", | |
"start_time = time.time()\n", | |
"outliers_correction(a,b)\n", | |
"print(time.time() - start_time)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.5.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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