{ "metadata": { "name": "04-Pandas-Scikits" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Pandas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Pandas](http://pandas.pydata.org/) library provides two data objects (built on top of numpy) that make working with time-series and tabular data much easier." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "!head data/players_dat.csv" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "date,user,gender,age,country,score,cash\r\n", "2013-01-01,Abdul,M,20,FR,5,73.84\r\n", "2013-01-04,Earle,M,36,SG,8,51.13\r\n", "2013-01-05,Tyron,M,40,US,3,57.15\r\n", "2013-01-08,Chris,M,24,FR,6,65.63\r\n", "2013-01-09,Mark,M,24,FR,2,90.51\r\n", "2013-01-12,May,F,28,US,3,46.32\r\n", "2013-01-13,Charlene,F,43,US,3,27.27\r\n", "2013-01-17,Ada,F,23,US,4,89.23\r\n", "2013-01-18,Wei,F,43,US,8,74.80\r\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.read_csv('data/players_dat.csv')\n", "df.head(5)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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dateusergenderagecountryscorecash
0 2013-01-01 Abdul M 20 FR 5 73.84
1 2013-01-04 Earle M 36 SG 8 51.13
2 2013-01-05 Tyron M 40 US 3 57.15
3 2013-01-08 Chris M 24 FR 6 65.63
4 2013-01-09 Mark M 24 FR 2 90.51
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" ], "output_type": "pyout", "prompt_number": 4, "text": [ " date user gender age country score cash\n", "0 2013-01-01 Abdul M 20 FR 5 73.84\n", "1 2013-01-04 Earle M 36 SG 8 51.13\n", "2 2013-01-05 Tyron M 40 US 3 57.15\n", "3 2013-01-08 Chris M 24 FR 6 65.63\n", "4 2013-01-09 Mark M 24 FR 2 90.51" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "type(df)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "pandas.core.frame.DataFrame" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "df.sort('cash', ascending=0).head(5)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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dateusergenderagecountryscorecash
16 2013-02-21 Chris M 36 SG 2 99.40
10 2013-01-25 Charlene F 40 FR 5 96.06
15 2013-02-19 May F 38 SG 5 94.37
19 2013-02-26 Mark M 20 FR 7 94.02
24 2013-03-10 Wei F 21 SG 1 93.19
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" ], "output_type": "pyout", "prompt_number": 6, "text": [ " date user gender age country score cash\n", "16 2013-02-21 Chris M 36 SG 2 99.40\n", "10 2013-01-25 Charlene F 40 FR 5 96.06\n", "15 2013-02-19 May F 38 SG 5 94.37\n", "19 2013-02-26 Mark M 20 FR 7 94.02\n", "24 2013-03-10 Wei F 21 SG 1 93.19" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "df.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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agescorecash
count 30.000000 30.000000 30.000000
mean 31.800000 4.333333 66.386000
std 8.515301 2.509751 21.023171
min 20.000000 1.000000 22.130000
25% 24.000000 2.000000 52.145000
50% 33.500000 4.000000 64.200000
75% 39.750000 6.750000 86.902500
max 44.000000 9.000000 99.400000
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" ], "output_type": "pyout", "prompt_number": 7, "text": [ " age score cash\n", "count 30.000000 30.000000 30.000000\n", "mean 31.800000 4.333333 66.386000\n", "std 8.515301 2.509751 21.023171\n", "min 20.000000 1.000000 22.130000\n", "25% 24.000000 2.000000 52.145000\n", "50% 33.500000 4.000000 64.200000\n", "75% 39.750000 6.750000 86.902500\n", "max 44.000000 9.000000 99.400000" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "df.groupby(['gender']).score.mean().plot(kind='bar', title=\"Scores\", rot=0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 8 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "scikit-learn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Machine learning in Python (PCA, ICA, LDA, SVM, k-means clustering,...)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $k$-Means clustering\n", "\n", "(based on https://github.com/amueller/tutorial_ml_gkbionics)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn import datasets" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# generate some clustered data (X == features, L == labels)\n", "X, L = datasets.make_blobs(centers=4, cluster_std=0.5, random_state=2)\n", "scatter(X[:,0], X[:,1])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "output_type": "display_data", "png": 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AX2AAJtNUZs9eVOR1CPuTcBdO79y5c8TGJmG1vg0Eo9SLpKeX5+DBg6xZs5aS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\ny+50JHE/utX+TZ06lR49egCZ++rq6sr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} ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "scatter(X[:,0], X[:,1], c=L)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "output_type": "display_data", "png": 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MuyVzaFCvnqXDsgr/7fhOmjTpvs4zS3L39vbmwoULOdsXLlzAx8fHHE0JIR4BAwcOZPue\nvXzfygetgyOVAwL4ZtVKS4f1WDPLDVWDwUDlypXZuHEjZcuWpWHDhnJDVYjHwPXr10lPT6dMmTLy\nbl8zud/caZaeu06nY9asWbRp0waj0ciQIUNyJXYhRNGQkZHB1q1bMRgMPPnkkxQrVuyu5UuUKEGJ\nEiUKKTpxN/KCbCFEnpKSkmjUvAWXtA5g74BLwgWit0Tme4hVr9eTmppK8eLFpVf/EOQF2UKIhzIp\nbCpnA+uTvGAHyd9sJqFNX14eNz5fdU2f8T9cihfHq1x5ajVqwqVLlwo4WvFfktyFEHk6HnMWfcMW\ncKuXbWwQzOnz5x+4ng0bNjBp5iyyfjuOPuoGf9VpQc/nBucqk5mZSb8hQ3FwKUYx99L879PwXMcT\nEhLo/dxgaj/xFENHvsjNmzfzf2GPCUnuQjymLl++zNSp03j3vffYt2/fbcebN2qI07JvIC0VsvQ4\nLJlDswb1H7idXbt2kdG6J5TxBY0Gw4Cx7IvO/dzL2PFvsSzmMpkRZ0n5fhvvhs9i2bJlQPa4f5MW\nrfhVU5KDQyaxMD6VkE5PYzKZ8nfhjwlJ7kI8hi5dukSN+g2YsO80Uy4bebJ1WyIiInKVefWVl+kY\n4Ittc0/snixNM5t0Ppr8Qc7x69evc+bMGQwGw13b8vX1xfHgTvi73L5teHrnHrdfHbGe9JGToHgp\nqFCZtD6jWRWxAYC9e/dyRWOL4bWPoFELMid9zZETJzh79uzDfxFWzCyzZYQQj7bPZ88mqfnTGN76\nDIC0Gg0Y+95EDrdunVNGp9Px8/ffkRT+KUajkZIlS+bcCJ00JYywadOwdStBcUd7Nq9ZTUBAQJ5t\n9e3bl+9+Wszu3vXQ+FRE7d/OguXLOHLkCFFRUXh6euJeyp1zp49CtboA2J4+gldlTwC0Wi1KnwlK\nZQ8RGQ2YsrLQ6SR93Y18O0I8hq7duInBq9w/O8qWJzk5Oc+yxYsXz7W9efNmps/9Gv3qE+jdvUhb\nOJOu/fpzODoqz/N1Oh3rf1vB5s2bSUpKombNaSxduoxJ0z9C16ITmhMHqVHKDeePxmDc9wc2SYmU\nOHOIsV/sBKB+/fr4u5fg2FsDyHyiHY5rF/HUE0/kWuJE3E6SuxCPoW6dOvJ9/+dIq9MESnrg9NFY\nenTudFu5c+fOcfToUSpUqECVKlUA2L9/P4bmncDdCwDVfSh/zXj9ru1ptVpCQkLYs2cPjYNbkGTn\nDAoyS3vDhK84/GxjZkyZjF6vx9HRkR49vsn5o6LT6fgjYh0fTJ3G4T2/0SikKW++/lrOvyJu3rxJ\nZGQkGo2Gli1b4uzsXJBfVdGlLMSCTQshlFILF/6gfCpXVe6+5dXoV19Ter0+1/Eff1yknEq5K7cn\nQpVjaU81edqHSimlli9frpyr1lbsSVUcUYpPf1X2Jd1V22491NatW3PO3759u3pj/Hg1ZUqYSkhI\nUEop5R0QqJjxc/Z52xMVvpUU325WTt0Hqblz5+Zq/8yZM6pO0yeUnZOT8qtWQ0VFRd12DXFxcapM\nxUqqWNNWqljjYFW+StWctqzV/eZOeYhJCHGb1NRU3Mt6k/H9HxBYE65cwrFHHfZv20pgYCD9hgxl\n5fqNKC9f0o7sh6FvgrsXTjPfYsNvK4iPj6ffiBfI6PkCuvgLlNyzkQNROynr7Y06oM9ZPZKJI8Ct\nJE7L57Fr80Zq1KgBZL8TolKNmlzoMAhTzxGwI4JiYaM4feQwpUuXzomzz6Ah/GLrieGVMABsp73M\nQFcTX836rNC/s8IiDzEJIXLZuXMnI19+hTGvv8GpU6fuWjY+Ph6ta/HsxA5Qugx2gTU5e/YsGo2G\nH775mq0rllJWnwwT5kBQU9i6mrTSPrz+9juMfXcC6dN+QI2cQNb7X3Otfku+/fY7fPwD4fcl2XVe\nT4RNK3D46XPmzfosJ7EDxMbGciXpBqbBr4OLK7TugU1ATfbu3ZsrzjPnL2Co92TOdlbdJzlzIbZg\nvrAiTpK7EFYgISGBMa+/Qc+Bg1iwYOFtPbuIiAhCOndhtrYM4Tdtqdu0GSdOnLhjfT4+Puj0GbBt\nXfaOv/4k6/ifVKtWDcjuPdatWxfXEiUh/jyMeQZKl4W2Pdmxd1/2qrBe/9zwNHj6cjMlmeWLfqDE\n/17FtUdtHDpV5tXhQ0i7eYNevXrmar948eIYkm9CYnz2jswMDLExlCpVKle54CaNcPz5C8jMgLRU\nHH+ZQ4vGjfL7NVoX840M3Z0FmxbCqly7dk2VqVhJ2T47WjFxrnIKrK4mfDA5V5l6zVsoPlmSPdZ9\nRCnNC++pEaNfumu9W7duVW4ensrZu5xydCuufvp58W1lfvrpZ6VxcVOUcFeEdleU9FB4V1CEdFU0\nbKlY9ZfiqwjlWNpT7dy5U+n1ejV23Juqcv2GKqTT0+rUqVN3bH/CB5OVc/lKSjdwjHKuWU917/us\nMplMucpkZGSozj17K52jo9I5OqpeA59TWVlZD/DtFT33mztlzF2IIm7evHm89PNqUj/5NXvHxXM4\ndq9NatL1nBkl1Ro14dgLU6FhcHaZH2fRL/4gC7+ee9e6MzMziYuLw9PTM89ZKFeuXMGznB/qt6NQ\ntjwkXoana8AP2+DnOfDbAkoVc+Hr8E/o0qULfQcPYfmpONIHvobNkT24/fQZx/88kGsc/d82bNjA\nvn37qFixIt26dcPGJu/BhuTkZDQaDS4uLvf3pRVhFl3yVwhRePR6PSYX1392OBfDYMjKVWZI7168\nN/0V0t6ZDSk3cPpmKgPnf3fPuu3t7alYseIdj1+6dAnHsr6klS2fvcPdE3wrwrVEGPc/HK8nMLn9\nE3Tp0gWDwcDiHxZi3JYIzsUwNQlBf3QP69ato3///nnWHxISQkhIyD3jvNdSxI8jSe5CFHHt27fn\njfcmwM9fQmAtHOd+QLc+fXMtqzv2lZcxGI3MnT4KOzs73p8ZTmho6EO3XalSJXQpSRC5CoI7QnQk\nnDoC506gjVqP495Iun41A8jucWo0GsjS55yv0Wei/XvmjChQMiwjhBU4ePAgo998i8tXrtAhpBVT\nJ03Ezs6uUNresWMHnXo8Q0pqKvZ2dgzo3Ztj5y/g5V6KKe++g5+fX07ZF8e+yreRO0jr8xK6o3so\nvXUFx/btxc3NrVBitQb3mzsluQshHprJZOLatWuULFnyjuPif5f77PMvWLdlK+XKeDHp7bfw8vIq\nxEiLPknuQghhheQhJiGEeIyZJbm//vrrVK1aldq1a9OtWzdu3LhhjmaEEBai1+vZu3cvBw8exGQy\n8csvvzBg2AjeGP8WCQkJlg5PYKZhmfXr19OqVStsbGx48803AZg2bVruhmVYRogiKSEhgWYhrbmc\nkYUpMx0PF2fi0zJIf3YMtmeO4r5zLUf27qFEiRKWDtUqWXRYJjQ0NOemSqNGjYiNlbUehLAWI8e+\nxtl6ISQvO0zqbyeIKVGW9Kc6Q5+RZL09i6TKdVmyZImlw3zsmX2e+7x58+jTp0+exyZOnJjzc3Bw\nMMHBweYORwjxkA4fP47hleez34qk00HbXrD995zjJteSZGRk3HbewYMHOXfuHLVq1aJ8+fKFGXKR\nFhkZSWRk5AOfl+9hmdDQUOLj42/bHxYWRqdO2Yv+T5kyhX379vHrr7/e3rAMywhRJPV+bjDLjC7o\n3wwHQxbakR3QxMdiCPseTh/F+X+vczB6V64nW994510+/+ZbbCvXIuvwbr7/8kt69OieczwtLQ2D\nwYCrq2teTYp/sfhUyO+++46vvvqKjRs34uDgkO8AhRCPlsTERJ5q044LV69jzEynSb26VK9ShTUb\nN1G6VClmTp1CgwYNcsrv37+fJzp0Ju2XA9kvwD62H8fBLUi6koBOp2PYqNHM/24eaGwIbhXC8p9+\nlLcp3YVF15ZZt24dH330EVu2bMkzsQshii53d3cO7trJ8ePHsbOzw9/fH41Gw8w7lD979iy6akHZ\niR2gahDK1o7ExER+XbqMn6IPYIiMBwdHtr01gFfHv82XMz8ttOuxVma5oTp69GhSUlIIDQ0lKCiI\nkSNHmqMZIYSF6HQ6qlevTkBAQK41bPJSs2ZNDAeistecAYj4BWcHezw9PdkctYu0bkOhmBvY2pHR\n50W27toFZK/02L1ff1w9PClXpRpr1qwx92VZFbP03E+ePGmOaoUQRZC/vz9zwz9l6LNNsXFyxlGn\nZd3yZWi1WvzL+WK37w/0XZ4DjQabvX/g5+MDQL8hw4jItCXz530knznGMwP6snPTBmrVqmXZCyoi\nZPkBIUShSE9PJzExES8vL2xtbQG4ceMGDZu34JLOEZyL4RBzjF1bIqlQoQIOLsXIXH8e3LLny9tN\nfYmpQX6MHTvWkpdhcbKeuxDikeLo6Iivr2+ufW5ubhzYuZ3Nmzej1+tp3rx5zsNPTm5uZMaeAbd6\noBS62NO4Bde2ROhFkvTchSgEZ8+eZdwbL3L+/BkaNXqKKWEzZEbIPSxYsJDnX3+DjM7PYR9zjHJX\nzrFvxzacnJwsHZpFWXwq5D0bluQuiiilFImJibi5ud3XmulJSUnUqV2ZYX2u0ryJkc+/cyDV0IyV\nv20ohGiLtu3bt7Nhw0bc3Uvx3HPPyR9EJLkLYRYnTpygc6cQEhISyDLAZzO/4LlBg+96zsqVK5n1\nSX8ifrwJQFYWlKxuy4ULCRQvXrwwws5l6dKlfP3VDDQaG14YOY6OHTsWegwi/2TJXyH+JS4ujs6d\nWuJXvjQhrRpx4sSJfNXzTI/2jB4Yy7WjmexZk8mbb77In3/+eddzbG1tSUlV/P37mJ4BRqPKualY\nmJYvX87Lo/szuNsOBnTexvBhvVi3bl2hxyHMT5K7sHoGg4H27ZpT238rG39KpHOL3bQOfYLk5GQg\ne/naS5cuYTQa71pPeno6x/6KYeRz2Vm6sj+0bm7Dvn377niOUoojRw5y6kwG5RrA8NehwwAnBvTv\nZ5EhhnnffMrH76bRoyP0ehrCxqUx75vwQo9DmJ8kd2H1zp49y42keN5/3UglP3hpiKKMRyb79+9n\n5YoVeHmVoFbNCvj6uLPr1gM0eXFwcKB4cWei9mZvp6XDnj+5bQbIv83+Yhbfz3ufFd9m8d0nsDJC\nS7Xa/fj8i28K+Crvj42NDfqsf7b1WaDVyqQ5ayT/VYXVc3Z25sZNA8kp4FoM9HpISDSSlpbG4MF9\naBeczvJ1AJm0a/sUcReTcHR0zFXH9evXGTH8WfSZetr21VC9iiNXrmkIbtGFVq1a5dnuzZs3+Wj6\nO3w5LY0m9bP3TR5nZOuBRLRarXkv+g5GvTieZ/tFkZ6RjtEIE2Y48cuvr1skFmFe0nMXVq9MmTL0\n7duPVr2cmfoZtH3Widp1nkAphXsJE+fjIGYXnNoBPl56pk2bfFsdzw18huIOGzj+Rya/fK3465SB\nie/PYe5XC+74+P3QIX3Q2SRz5eo/+y5f0eDkVMxcl3pPoaGhLPppFVsPPM2Ow135dek6nnrqKYvF\nI8xHeu7isTDr86/54YcW/PnnXnr3r8rgwYM5efIkV6/rmTEBPNyzy703Fuav2JbrXJPJxNp1kdz4\ny4ijI4SWhh4dtdy4ceOOiX3NmjWsWLGGpd/Ac6/AuVhITYPZ8+3YvmOcuS/3rlq2bEnLli0tGoMw\nP+m5i8eCRqPh2Wef5aOPPmH48OHodDqqVq1K+fIBHDj6T7k/j2jwKlMu17k2Nja4uTly6mz2tlJw\n6qzNHacxRkdHM+i5Z3AtBl4esPYHuHoNfl6h5Y1xE6hWrZqZrlKIf8g8d/FYuXTpEufPn6dSpUq4\nu7tz6tQpmjWtS4ummZiUDTv3OrN9xz7Klcud4L/7dh5vvz2a/t0yOPiXA0mp/myOjMbe3v62Nt55\n5y00qVP5fjFkZMLg3nDoL9i2S8PuvX8RGBiYUzYlJQV7e3uLTIsURZPMcxfiP76aO5vq1Ssy6vk2\nVKlcnlW//Ya/vz9/HjxBy/afEdpxJvv2H7stsQM8N2gwPy/+nWJl3qdLz0/YtHlXnokdwMnRmbOx\nOlLSYNk8cHGGjiHwZFMXDh06BMC1a9cIadUED48SuLo6ETZl0l1jl46QeFDScxePhZiYGBo2qE7U\nb+lU8oO2QFKQAAAbnElEQVRd+6D9ACfOn0+47/nmJpOJNWvWkJiYmD03/uJFfMuVo3///rl63pcv\nX6ZB/RpcuZLIkUioWB4yMqBOG2e++mYtTz75JL17daKkYwSfTdZz+Qq06OnERzMW0blz51xt/vjD\nD7z66iiuXU+hbZtgvvt+Sc7CWuLxdN+5U1mIBZsWj6GIiAjV4gk3pS6S86no56KOHz+ulFIqKSlJ\nDRzwjAoMKKOC6virCn6eyrtsCTVi+ACVnp6uTp8+rcp4FVP2dih7e5STA6pzG1TLJ51U2zZPKoPB\nkKu9S5cuqY4d26nSpXRqaF87Vaemi+rXt6symUxKKaV8fUqqM1H/xDJ5HGrcuNdy1REVFaW8PB3V\n3t9RKadQw5+1U926timcL0w8su43d8qwjHgsBAQEcOiYnpNnsrd37oEbyQqfWy+G6NWzIzrDCpZ9\ndYnn+54i+eZlln19nUvnFvPKyyN4unMrRg9KJj0G/lwPxVxg/RZY/X0a8Rf3s3HjxlzteXl58dtv\na1i1ZjtBzT7h/Sk/smDhrzmza7y9y7BjT3ZZkwmi9jvi41M+Vx2RkZH07ZJF3Zrg7ARhb+rZuGmr\neb8oYTVkKqR4LPj5+fHhh+E06vQS5bztiL1kZP78xTg5OZGSksLWP6K4edyATgdVA+CrhfDxbGgT\nnMEHny4n4Uoyb6wDjSZ72YGOobBoOSSngp+vhhs3buTZbsOGDWnYsCGQvXyBvb09NjY2zPzsWzp2\naMXStRB7SWHvFMjQoUNznevu7s7m3+1QyoBGA4ePg3spN7N/V8I6yJi7eKwkJCRw4cIFKlasmDN2\nrdfrcXNz5ly0gdKlYMQbsH03PN0GflsPV645oZSWpV8l06whZGZC3TZw7TrMnAyj3nZh/4G/8Pb2\nzrPNuLg4enRvx779R7G3t+WzmV8w8LlBXLx4ka1bt1KsWDFat25924yZjIwMWrVsjKPtKQIrGvll\nlQ3zvv1ZVnF8zFl8zP3jjz9WGo1GXb16Nc/jZmxaiAf27jvjVI2qTuqNkaiSxbPHuNVF1I3jqJLF\nbdW8efNUieL2qm0LVDlvlJurjSru5qiC6gSoHTt23LXup56sq94do1XGWNTRLSgvT0e1e/fu+4or\nIyNDLViwQIWHh6uDBw8WxKWKIu5+c6dZeu4XLlxg2LBhHD9+nL1791KyZMn8//URohAopVi8eDHL\nli7m0J+rObI5M+dY9RbF+PHnP3BxcWHXrl24ubnRvn37Oz6d+t967ex0pJw08ffMyRfGO1Ct3nRG\njx5trssRVsyi89zHjh3L9OnTzVG1EGah0Wjo1asX38ybT2q6K7O/13D5CoR/bUNmlguVK1emUqVK\n9O3blw4dOtxXYv+7Xi/PEuzan72dlQX7DukoU6ZMgcavlGLeN1/TtUsrBg54hqNHj977JGHVCvyG\n6ooVK/Dx8aFWrVr3LDtx4sScn4ODgwkODi7ocIR4IM7Ozqz7fStDh/Tm3Y9PUb1aZdau+wkHB4d8\n1/nlnO/pPrAnrZvbcPQklK/QhK5duxZg1PC/GdOZ9/X7TBybxtkLGoKb/07UrgNUrFixQNsRhS8y\nMpLIyMgHPi9fwzKhoaHEx8fftn/KlCmEhYURERGBq6srFSpUYM+ePZQqVer2hmVYRjxGTp48yc6d\nOyldujRt2rRBo9Ew58vZREauxsPDh/FvTXyo3nylip4snZtA7erZ2y+/q6V0+Qm88+67BXQF4lFx\nv7kzXz339evX57n/8OHDxMTEULt2bQBiY2OpV68e0dHReHh45KcpIaxCQEAAAQEBOdvj3xzLht/n\n8MrQNPYf1tGs6Ur27jua76dPlVLY/GuQ1ULLxYtHiFmnQlaoUEFuqIpHws6dO4mKiqJs2bL06NEj\n3y/LiImJYf7332E0GenVqw/Vq1d/4DqUUri4OHBmpx7P0tn7ug5xpkuvzxk4cGC+4vpw2hR+XBjG\npFfTOBerYcpMZ3bs3I+/v3++6hOPrkdi4bD7vekkhDnNnTObZ3qEEHPkTcJnDKVb17aYTKYHrufE\niRM0blybpItTyLoeRnDzRnd9Ld+dKKUwGk3Y2/2zz8FB3fMdrnfzxri3GPniR3y1pBlRRzqyYeN2\nSeyPOXmISVg1o9GIm5sTByL0+FcAgwEadHBh6vQltG3b9oHqGjF8AL4lFvLOK9n/3379I/y2pQUr\nVm564LhGDB/ImeNLGDcynQNHbPjfV67s238MLy+vB65LPF4eiZ67EJaWlpaG0Wiikl/2tk4HlStp\nuHr16l3Py0tKyg18y/7zS+VbFlJSbuYrrlmff02z4FeY/EUddv/VjsgtuySxiwIlPXdh9Ro3qklo\n02OMG2Ukai/0GeXEruhDDzxNcPHPP/PW+MH88FkaDvbw3BgnBg+bzOiXxpgpciFuZ9bZMkIUJb8u\nXceA/t1wr7EP77Kl+HHRgnzN/+7ZqxfXr1/juVenYDQaGTRoJC+OfsUMEQvx8KTnLoQQRYiMuQsh\nxGNMkrsQQlghSe5CCGGFJLkLIYQVkuQuhBBWSJK7EEJYIUnuQghhhSS5CyGEFZLkLoQQVkiSuxBC\nWCFJ7kIIYYUkuQshhBWS5C6EEFZIkrsQQlghSe5CCGGFzJLcP/vsM6pWrUqNGjUYN26cOZoQQghx\nFwX+JqbNmzezcuVKDh48iK2tLVeuXCnoJoQQQtxDgffcZ8+ezfjx47G1tQWgdOnSBd2EEEKIeyjw\nnvvJkyfZunUrb731Fg4ODnz88cfUr18/z7ITJ07M+Tk4OJjg4OCCDkcIIYq0yMhIIiMjH/i8fL1D\nNTQ0lPj4+Nv2T5kyhbfffpuWLVsSHh7O7t276dWrF2fOnLm9YXmHqhBCPLD7zZ356rmvX7/+jsdm\nz55Nt27dAGjQoAE2NjZcvXqVUqVK5acpIYQQ+VDgY+5dunRh06ZNAJw4cQK9Xi+JXQghClmBj7kP\nHjyYwYMHU7NmTezs7Jg/f35BNyGEEOIe8jXmXiANy5i7EEI8sPvNnfKEqhBCWCFJ7kIIYYUkuQsh\nhBWS5C6EEFZIkrsQQlghSe5CCGGFJLkLIYQVkuQuhBBWSJK7EEJYIUnuQghhhSS5CyGEFZLkLoQQ\nVkiSuxBCWCFJ7kIIYYUkuQshhBWS5C6EEFZIkrsQQlghSe5CCGGFJLkLIYQVMktyj46OpmHDhgQF\nBdGgQQN2795tjmaEEELcgVlekB0cHMz48eNp06YNa9euZfr06WzevDl3w/KCbCGEeGAWfUF2mTJl\nuHHjBgBJSUl4e3uboxkhhBB3YJae+7lz53jiiSfQaDSYTCZ27tyJr69v7oY1GiZMmJCzHRwcTHBw\ncEGHIoQQRVpkZCSRkZE525MmTbqvnnu+k3toaCjx8fG37Z8yZQozZ85k1KhRdO3alSVLljB37lzW\nr1+fu2EZlhECgIyMDOzt7dFoNJYORRQB95s7zdJzd3V15ebNmwAopShevHjOMM2DBihEURIbG8uM\nGZ9y7VoSzzzThY4dO96x7OnTp2nf/mlOnTqOs7MLCxd+T+fOnQsxWlEUWXTM3d/fny1btgCwadMm\nAgMDzdGMEI+U+Ph46tRpwGefRTF//iV69RrMV199nWdZpRShoR04edIXk+ltkpOfoU+fAZw6daqQ\noxbWSmeOSufOncuoUaPIzMzE0dGRuXPnmqMZIR4p8+fP5+ZNX4zGUADS0rx5770PGDZs6G1lb9y4\nQWzseZTqDWgAb7TaiuzevRt/f//CDVxYJbMk9/r167Nr1y5zVC1EgVBKER8fj729PSVLliyQOtPT\n0zEa7f+1xwG9Xp9nWRcXF7RaDVlZiUBpwIBSl/Hy8iqQWISQJ1TFYycpKYmGDZ+gYsUqeHn5MGjQ\nMEwm00PX261bNxwcDgGHgFicnNby7LN98iyr0+mYM+dLnJx+xNl5NS4u39G2bXOZMSYKjFluqN5X\nw3JDVVhI7979WbbsBHp9WyALJ6ef+d//3mDEiBEPXffWrVsZO3Y8N27cpGfPrkya9B463Z3/gXzw\n4EH27NmDt7c3rVu3lhkz4p4sOlvmfkhyF5ZSoUIVzp4NBsrc2hNN//6ezJ8/r1Dav3TpEt9++y3p\n6Rl069aVoKCgQmlXWIf7zZ1mGXMX4lFWsWIFzp+PwWQqAygcHGKpXLmZWdq6fv06R44cwdPTk4CA\nAOLi4qhVqx7Xr+tQ6gqTJ0+lZ89nWLRoITY2MkoqCo703MVj58yZMzRu/CSZmcUwmdIJDCzLtm2b\ncHR0LNB2duzYQbt2ndFoSqDXJ/LCC8PQam34+OPFKKUHngFAo1nEjBnjGTPm5QJtX1gnGZYR4i5u\n3LjBzp07cXBw4IknnrjruHh+eXp6k5AQDAQC6Tg7f0dwcCNWr44GgoEqt0oe48knr7F1a0SBxyCs\njwzLCHEXbm5utG3btsDr3b59OwcOHMDX15eEhEtAwK0jjihVjoCAitjYbMRkSuDv5K7RXJEpkKLA\nSXIXooB8+OFHvP/+dEwmf7TaWBwd3UhPPwzUBJKBGHr2DKds2bKMG/cOSiWg1WpxcYkjLGyOhaMX\n1kaGZYTIp1OnTvH551+SkZFB166d6dSpC3r9C4AroMfBYQ6QSWamDkilW7eu/PLLzwDExcWxdOlS\nNBoN3bp1o2zZsha8ElGUyJi7EGZ08uRJ6tVrTEpKdZRywMEhGqVMZGa+mlPG0XEBRuM19PqnAFuc\nnCL56ad5dOrUyXKBiyLPoguHCWHtPv30M1JSaqJUK6AZGRltMZlAo9kNGIETZGbGote3AIKAGqSl\nNeWbbxZYNG7x+JDkLqzS7NlzCAioSWBgLebNK7iHk5KSkhgz5jWWL1+NUv+eOumEj48PAQHn0Gim\n4OX1B9Wr1wD+6WFpNOm4uDjdVueOHTv47rvviI6OLrA4hZAbqsLqzJ8/n9dem0haWjvAxOjR43F2\ndqZXr14PVW96ejoNGz5BTIwBg+ECcBEoBTjg5LSBVq3a4e5eCk/PIQwbNozdu3fToUNX0tKSyV7m\n4E/Gjduaq8633nqX8PA5aDTlUSqGt956lbffHv9QcQoBMuYurNCTT4awbZs7UPXWnkOEhGSwfv2q\ne577ySef8t57k9DrM+nevQfz5s3FwcEBgJ9//pl+/YZjNKYCzkAd4DgazU3atGnB1q3RpKXVwNb2\nMuXKwaFDezl06BDffjsfW1sdzz8/nGrVquW0debMGapXDyIj43nACUjG3n4OZ8+elKmR4o5knrt4\nbDk7OwFp/9qThouLyz3PW758Oe+8M420tGcBZ5YvX4Wb2+vMnv0ZAJMmTcVoDARaAfHAEmAwLi6r\niIzcQkbGIMCdrCzF6dPf8MEHHxAWFkbDhg3zbC97yeHSZGT8PVRTDHv7Ely+fBmA9evXY29vT4cO\nHXB2dgbg2rVrjB//LseOnaRp0wZMnPhuzh8fIf5Neu7C6kRFRdGqVVvS0uoBJpyd97Nly0bq1at3\n1/OGDXuer78+BzS+tSeecuU2cu7cCYxGI3Z29phMbwHaW8dXAKWwt49Cr09HqTcB21vHllGiRBzX\nrl25Y3vXr1+nfHl/kpPbAf7AMYoX38z69WsICWmH0egDZODhodizZydOTk7UrFmPc+dc0Osr4Oh4\nmCefLM+6db/JapKPEZktIx5bjRs3Zvv2SEaNqsHo0bXZufOPeyZ2gDJlPLG1vfqvPQm4u7sDYGNj\ng4ODM/D3cQXEY2e3gw8+mESlSoHASiAJ+As4SXp6+l3bS0xMxNfXB41mCfAB7u5/EBGxmtdee4ub\nNxuRktKFlJTexMa6Mn36x+zcuZP4+NRbSxVXIT29K1u2bM3zRfVCyLCMsEp16tRh1qzwBzrn5Zdf\n4ttvF3Dt2lJMJke02uN8/vlaILu3NGtWOKNGjcVgqIZOl4CPT0kWL15DnTp1qF69Cp069cRkigFc\n0Gr9eOIJvzu2lZqaSrNmwSQmBqBUPzSaMzg7x1G7dm3i4i6hVOOcsnq9J+fOxd7ayt1Dl38BizvJ\nd899yZIlVK9eHa1Wy759+3Idmzp1KgEBAVSpUoWICFkMSRQNpUqV4vDh/YSHj2b69H4cOLCbxo0b\nc/ToUbp378P8+T8xevQIPvigE7Nnv83hw/uoU6cOAO3bt2fWrBk4OChsbBJp1Kg0ixZ9f1sbaWlp\nnDx5kk2bNnH16k2U2gcsRqkEEhOTOXXqFK1aNcfBIRrIAlJxdj5I69YtaNy4MR4eDtjaRgAncHBY\nTrNmTSlTpsxt7QiByqdjx46p48ePq+DgYLV3796c/UeOHFG1a9dWer1excTEqEqVKimj0Xjb+Q/R\ntBCF5vTp08rFpYTSaNoo6Kmcnb3V1Kkf3rG8yWRSmZmZufbFxcWpLVu2qIULFyoXl+LKxcVTabX2\nCsopeE/BOwoClFbroM6dO6dSU1NVp07dlFZrq3Q6O/Xaa+OUyWRSSil15coVNXjwcNWkSQv16qtv\nqLS0NLNev3j03G/uzPewTJUqVfLcv2LFCvr06YOtrS1+fn74+/sTHR1N48aN8ywvxKPsxx9/JD29\nCko1ASA1tRT/+99M3nzzDdauXcvkyR+RlZXFSy+N4Nlnn0Wj0WBnZ/ev8xcxdOjz2NqW5ubN88Cz\nQHmy58jPJ3tWjwtQC09PI+XKlQNg5cpf0ev1aLVatFptTn3u7u58840sMiburcDH3C9evJgrkfv4\n+BAXF1fQzQhRKLI7SrfPRNm0aRPdu/clPT0U0DFixKsopejfv39OmevXrzNkyHAyMgaQnq7InjpZ\n/tbRskBxIBFwxtb2FH37PpOrjX//kRDiQd01uYeGhuZ5Jz4sLOyBFj+60zStiRMn5vwcHBwsb34X\nj5y+ffsyffonpKa6opQbTk7befnlUcye/Q3p6c2A6gCkpUF4+Jxcyf3ChQvY2hYnI8MDSAdSyE7m\n7kASGs01nJw2oNFApUplmDDhncK/QPHIi4yMJDIy8oHPu2tyX79+/QNX6O3tzYULF3K2Y2Nj8fb2\nzrPsv5O7EI+iSpUqsWPHFt55532uXbtK377v8Pzzw+nbdyBg+FdJA7a2uX+d/Pz8MJmSgQuAL9AE\nmIOra0WysuL54INpNGrUAK1WS/369bG1tUWI//pvx3fSpEn3dd5DP8TUokULPv7445x5xEePHqVv\n375ER0cTFxdHSEgIp06duq33LlO4RFG2Z88emjcPIS2tCaDD0XE7S5YsoEOHDrnKrV69ml69+mFj\n44LBcJPp06cSGBiAv78/FStWtEzwokgz+3ruy5Yt46WXXiIxMRE3NzeCgoJYuzZ7TnBYWBjz5s1D\np9MRHh5OmzZt8h2gEI+q3bt3M2PGTPT6LEaOHEpISEie5W7evMn58+fx8fGhePHihRylsDbysg4h\nhLBCsvyAEEI8xiS5CyGEFZLkLoQQVkiSuxBCWCFJ7kIIYYUkuQshhBWS5C6EEFZIkrsQQlghSe5C\nCGGFJLkLIYQVkuQuhBBWSJK7EEJYIUnuQghhhSS5CyGEFZLkLoQQVkiSuxBCWCFJ7kIIYYUkuQsh\nhBWS5C6EEFYo38l9yZIlVK9eHa1Wy969e3P2r1+/nvr161OrVi3q16/P5s2bCyTQoiYyMtLSIZiV\nXF/RZs3XZ83X9iDyndxr1qzJsmXLeOqpp9BoNDn7S5cuzapVqzh48CDff/89/fv3L5BAixpr/x9M\nrq9os+brs+ZrexC6/J5YpUqVPPfXqVMn5+dq1aqRnp5OVlYWtra2+W1KCCHEAzLrmPuvv/5KvXr1\nJLELIURhU3cREhKiatSocdtn5cqVOWWCg4PV3r17bzv38OHDqlKlSurMmTN51g3IRz7ykY988vG5\nH3cdllm/fv3dDt9RbGws3bp1Y8GCBVSoUCHPMtn5XQghhDkUyLDMvxN1UlISHTp04MMPP6RJkyYF\nUb0QQogHlO/kvmzZMnx9fYmKiqJDhw60a9cOgFmzZnH69GkmTZpEUFAQQUFBJCYmFljAQggh7sN9\nDd6Yya5du1SDBg1UnTp1VP369VV0dLQlwzGLmTNnqipVqqjq1aurN954w9LhmMXHH3+sNBqNunr1\nqqVDKVCvvfaaqlKliqpVq5bq2rWrSkpKsnRID23t2rWqcuXKyt/fX02bNs3S4RSo8+fPq+DgYFWt\nWjVVvXp1FR4ebumQzMJgMKg6deqojh073rWcRZN78+bN1bp165RSSq1Zs0YFBwdbMpwCt2nTJhUS\nEqL0er1SSqmEhAQLR1Twzp8/r9q0aaP8/PysLrlHREQoo9GolFJq3Lhxaty4cRaO6OEYDAZVqVIl\nFRMTo/R6vapdu7Y6evSopcMqMJcuXVL79+9XSimVnJysAgMDrer6/jZjxgzVt29f1alTp7uWs+jy\nA2XKlOHGjRtA9li9t7e3JcMpcLNnz2b8+PE5U0FLly5t4YgK3tixY5k+fbqlwzCL0NBQbGyyf0Ua\nNWpEbGyshSN6ONHR0fj7++Pn54etrS29e/dmxYoVlg6rwHh5eeU8Z+Pi4kLVqlW5ePGihaMqWLGx\nsaxZs4ahQ4fec1KKRZP7tGnTePXVVylXrhyvv/46U6dOtWQ4Be7kyZNs3bqVxo0bExwczJ49eywd\nUoFasWIFPj4+1KpVy9KhmN28efNo3769pcN4KHFxcfj6+uZs+/j4EBcXZ8GIzOfs2bPs37+fRo0a\nWTqUAjVmzBg++uijnE7H3eT7CdX7FRoaSnx8/G37p0yZwsyZM5k5cyZdu3ZlyZIlDB48ON/TLy3l\nbtdnMBi4fv06UVFR7N69m549e3LmzBkLRJl/d7u+qVOnEhERkbPvXj2JR9Gdri8sLIxOnToB2ddq\nZ2dH3759Czu8AvXvZUKsWUpKCj169CA8PBwXFxdLh1NgVq1ahYeHB0FBQfe3xEKhDBLdQbFixXJ+\nNplMytXV1YLRFLy2bduqyMjInO1KlSqpxMREC0ZUcA4dOqQ8PDyUn5+f8vPzUzqdTpUvX15dvnzZ\n0qEVqG+//VY1bdpUpaenWzqUh7Zz507Vpk2bnO2wsDCru6mq1+tV69at1SeffGLpUArc+PHjlY+P\nj/Lz81NeXl7KyclJ9e/f/47lLZrcg4KCcpLfhg0bVP369S0ZToH78ssv1XvvvaeUUur48ePK19fX\nwhGZjzXeUF27dq2qVq2aunLliqVDKRBZWVmqYsWKKiYmRmVmZlrdDVWTyaT69++vXnnlFUuHYnaR\nkZH3nC1j9mGZu5k7dy6jRo0iMzMTR0dH5s6da8lwCtzgwYMZPHgwNWvWxM7Ojvnz51s6JLOxxn/y\njx49Gr1eT2hoKABNmjThiy++sHBU+afT6Zg1axZt2rTBaDQyZMgQqlataumwCsz27dtZuHAhtWrV\nIigoCICpU6fStm1bC0dmHvf6ndMoVQQHSoUQQtyVvIlJCCGskCR3IYSwQpLchRDCCklyF0IIKyTJ\nXQghrJAkdyGEsEL/B+JI3OZoDDlQAAAAAElFTkSuQmCC\n" } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cluster import KMeans\n", "km = KMeans(4)\n", "km.fit(X);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "scatter(X[:,0], X[:,1], c=km.labels_)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "output_type": "display_data", "png": 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eru2h+3MweYyeRV/Pyvc4hOVJchc278KFC9xOiOGjt02UDoLXByl8vdM4ePAg\na1avxsenMFWrlCLA34vIyMgH1uPs7EyhQq5E7M/Y1qfAvsPctwLkXvPnzeG7RR+x+pt0vv0U1my0\np2K13syd93Ue9zJn7OzsMKT/s21IB3t7WTRni+S/qrB5rq6u3L5jJDEJPNzBYIDYOBN6vZ6BA3vS\nJjSFVRsA0mjT+lmuXE1Ap9NlqePWrVu8PORFDGkGWvfSUKm8jhvxGkKbdqJ58+bZtnvnzh2mT3uf\nL6bqaVA7Y9/EMSa2H4rD3t7esp1+gGGvjeXF3hGkpKZgMsG4mS78/MvbVolFWJaM3IXN8/X1pVev\n3jTv7sqUz6H1iy5Uq94YpRRehc1cugLnI+HMLvD3MTB16sT76ujf7wUKOW/m1J9p/LxQcfKMkfEf\nfcmCr5Y88Pb7wYN6orVL5MbNf/Zdv6HBxcXdUl39T2FhYSz9aS3bDz3HrqOd+WXFBp599lmrxSMs\nR0bu4qkwZ+5CfvihKYcP76dHnwoMHDiQqKgobt4yMHMceHtllPtwFCxevSPLuWazmfUbwrl90oRO\nB2HFoGt7e27fvv3AxL5u3TpWr17Hiq+h/xtwMRqS9TB/sSM7d42xdHcfqlmzZjRr1syqMQjLk5G7\neCpoNBpefPFFpk//lCFDhqDVaqlQoQIlS5bh0PF/yh0+psHHNzDLuXZ2dnh66jhzIWNbKThzwe6B\nyxj37NnDgP4v4OEOPt6w/ge4GQ//W23P6DHjqFixooV6KcQ/ZJ27eKpcu3aNS5cuUbp0aby8vDhz\n5gyNGtakacM0zMqO3ftd2bnrAIGBWRP8t98s4r33htOnSypHTjqTkBzC1vA9ODk53dfG+++/iyZ5\nCt8tg9Q0GNgD/joJOyI17N1/krJly2aWTUpKwsnJySrLIkXBJOvchfiXrxbMp1KlYIa90ory5Uqy\n9tdfCQkJ4fCR0zRr+zlh7Wdz4OCJ+xI7QP8BA/nfst9x9/2ITt0+ZcvWyGwTO4CLzpUL0VqS9LBy\nEbi5QvsW8ExDN/766y8A4uPjadG8Ad7ehfHwcGHypAkPjV0GQuJRychdPBXOnz9P3TqViPg1hdJB\nEHkA2vZ14dKl2ByvNzebzaxbt464uLiMtfFXrxIQGEifPn2yjLyvX79OndqVuXEjjmPhEFwSUlOh\neitXvvp6Pc888ww9unegiG4jn080cP0GNO3mwvSZS+nYsWOWNn/84QfefHMY8beSaN0qlG+/W575\nYC3xdMqgdBgKAAAbm0lEQVRx7lRWYsWmxVNo48aNqmljT6WukvkTHOSmTp06pZRSKiEhQfXr+4Iq\nW8ZX1ageokoFFVd+JQqrl4f0VSkpKers2bPK18ddOTminJxQLs6ojq1QzZ5xUa1bPaOMRmOW9q5d\nu6bat2+jihXVqsG9HFX1Km6qd6/Oymw2K6WUCvAvos5F/BPLxDGoMWPeylJHRESE8imuU/t/RyWd\nQQ150VF16dwqfz4w8cTKae6UaRnxVChTpgx/nTAQdS5je/c+uJ2o8Pf3B6B7t/ZojatZ+dU1Xul1\nhsQ711m58BbXLi7jjREv81zH5gwfkEjKeTi8CdzdYNM2+O07PTFXD/LHH39kac/Hx4dff13H2nU7\nqdHoUz6a9CNLvv8lc3WNn58vu/ZllDWbIeKgDn//klnqCA8Pp1endGpWAVcXmPyOgT+2bLfsByVs\nhiyFFE+FoKAgPvlkFvU6vE6gnyPR10wsXrwMFxcXkpKS2P5nBHdOGdFqoUIZ+Op7mDEfWoWm8vFn\nq4i9kcjoDaDRZDx2oH0YLF0FickQFKDh9u3b2bZbt25d6tatC2Q8vsDJyQk7Oztmf/4N7ds1Z8V6\niL6mcHIpy+DBg7Oc6+XlxdbfHVHKiEYDR0+BV1F5nrnIGZlzF0+V2NhYLl++THBwcObctcFgwNPT\nlYt7jBQrCi+Php174blW8OsmuBHvglL2rPgqkUZ1IS0NaraC+FsweyIMe8+Ng4dO4ufnl22bV65c\noevzbThw8DhOTg58Pnse/foP4OrVq2zfvh13d3datmx534qZ1NRUmjerj87hDGWDTfy81o5F3/xP\nnuL4lLP6nPuMGTOURqNRN2/ezPa4BZsW4pF98P4YVbmCixo9FFWkUMYct7qKun0KVaSQg1q0aJEq\nXMhJtW6KCvRDeXrYqUKeOlWjehm1a9euh9b97DM11Qcj7ZUpGnV8G8qnuE7t3bs3R3GlpqaqJUuW\nqFmzZqkjR47kRVdFAZfT3GmRkfvly5d56aWXOHXqFPv376dIkSK5//YRIh8opVi2bBkrVyzjr8O/\ncWxrWuaxSk3d+fF/f+Lm5kZkZCSenp60bdv2gXen/rteR0ctSVFm/l45+epYZyrWmsbw4cMt1R1h\nw6y6zn3UqFFMmzbNElULYREajYbu3bvz9aLFJKd4MP87DddvwKyFdqSlu1GuXDlKly5Nr169aNeu\nXY4S+9/1+hQvTOTBjO30dDjwlxZfX988jV8pxaKvF9K5U3P69X2B48eP//dJwqbl+QXV1atX4+/v\nT9WqVf+z7Pjx4zN/Dw0NJTQ0NK/DEeKRuLq6suH37Qwe1IMPZpyhUsVyrN/wE87Ozrmu84svv+P5\nft1o2cSO41FQslQDOnfunIdRw//NnMaihR8xfpSeC5c1hDb5nYjIQwQHB+dpOyL/hYeHEx4e/sjn\n5WpaJiwsjJiYmPv2T5o0icmTJ7Nx40Y8PDwoVaoU+/bto2jRovc3LNMy4ikSFRXF7t27KVasGK1a\ntUKj0fDlF/MJD/8Nb29/xr47/rFG86WDi7NiQSzVKmVsj/jAnmIlx/H+Bx/kUQ/EkyKnuTNXI/dN\nmzZlu//o0aOcP3+eatWqARAdHU2tWrXYs2cP3t7euWlKCJtQpkwZypQpk7k99p1RbP79S94YrOfg\nUS2NGq5h/4Hjub77VCmF3T2TrFZ6XLx4glh0KWSpUqXkgqp4IuzevZuIiAhKlChB165dc/2yjPPn\nz7P4u28xmU10796TSpUqPXIdSinc3Jw5t9tA8WIZ+zoPcqVT97n069cvV3F9MnUSP34/mQlv6rkY\nrWHSbFd27T5ISEhIruoTT64n4sFhOb3oJIQlLfhyPi90bcH5Y+8wa+ZgunRujdlsfuR6Tp8+Tf36\n1Ui4Oon0W5MJbVLvoa/lexClFCaTGSfHf/Y5O6v/fIfrw4we8y5DX5vOV8sbEXGsPZv/2CmJ/Skn\nNzEJm2YymfD0dOHQRgMhpcBohDrt3JgybTmtW7d+pLpeHtKXgMLf8/4bGf/fLvwRft3WlNVrtjxy\nXC8P6ce5U8sZMzSFQ8fs+L+vPDhw8AQ+Pj6PXJd4ujwRI3chrE2v12MymSkdlLGt1UK50hpu3rz5\n0POyk5R0m4AS//yjCigBSUl3chXXnLkLaRT6BhPnVWfvyTaEb4uUxC7ylIzchc2rX68KYQ1PMGaY\niYj90HOYC5F7/nrkZYLL/vc/3h07kB8+1+PsBP1HujDwpYkMf32khSIX4n4WXS0jREHyy4oN9O3T\nBa/KB/ArUZQfly7J1frvbt27c+tWPP3fnITJZGLAgKG8NvwNC0QsxOOTkbsQQhQgMucuhBBPMUnu\nQghhgyS5CyGEDZLkLoQQNkiSuxBC2CBJ7kIIYYMkuQshhA2S5C6EEDZIkrsQQtggSe5CCGGDJLkL\nIYQNkuQuhBA2SJK7EELYIEnuQghhgyS5CyGEDbJIcv/888+pUKEClStXZsyYMZZoQgghxEPk+ZuY\ntm7dypo1azhy5AgODg7cuHEjr5sQQgjxH/J85D5//nzGjh2Lg4MDAMWKFcvrJoQQQvyHPB+5R0VF\nsX37dt59912cnZ2ZMWMGtWvXzrbs+PHjM38PDQ0lNDQ0r8MRQogCLTw8nPDw8Ec+L1fvUA0LCyMm\nJua+/ZMmTeK9996jWbNmzJo1i71799K9e3fOnTt3f8PyDlUhhHhkOc2duRq5b9q06YHH5s+fT5cu\nXQCoU6cOdnZ23Lx5k6JFi+amKSGEELmQ53PunTp1YsuWLQCcPn0ag8EgiV0IIfJZns+5Dxw4kIED\nB1KlShUcHR1ZvHhxXjchhBDiP+Rqzj1PGpY5dyGEeGQ5zZ1yh6oQQtggSe5CCGGDJLkLIYQNkuQu\nhBA2SJK7EELYIEnuQghhgyS5CyGEDZLkLoQQNkiSuxBC2CBJ7kIIYYMkuQshhA2S5C6EEDZIkrsQ\nQtggSe5CCGGDJLkLIYQNkuQuhBA2SJK7EELYIEnuQghhgyS5CyGEDbJIct+zZw9169alRo0a1KlT\nh71791qiGSGEEA9gkRdkh4aGMnbsWFq1asX69euZNm0aW7duzdqwvCBbCCEemVVfkO3r68vt27cB\nSEhIwM/PzxLNCCGEeACLjNwvXrxI48aN0Wg0mM1mdu/eTUBAQNaGNRrGjRuXuR0aGkpoaGhehyKE\nEAVaeHg44eHhmdsTJkzI0cg918k9LCyMmJiY+/ZPmjSJ2bNnM2zYMDp37szy5ctZsGABmzZtytqw\nTMsIAUBqaipOTk5oNBprhyIKgJzmTouM3D08PLhz5w4ASikKFSqUOU3zqAEKUZBER0czc9Zs4m/f\n4YWO7Wnfvv0Dy549e5a2z7/AmeNHcfXw5PtFX9OxY8d8jFYURFadcw8JCWHbtm0AbNmyhbJly1qi\nGSGeKDExMVSv34DP40ws9q5M91df46uFX2dbVilFWMdORLXqg/lgGolzf6PnwEGcOXMmn6MWtsoi\nI/d9+/YxbNgw0tLS0Ol0zJs3jxo1amRtWEbuwsZMmzaN9/dGkT7hq4wdf+3B593eXDsbdV/ZhIQE\nvP0DSI+8A3enY9zf6saXfTrTs2fP/AxbFDA5zZ1aSzReu3ZtIiMjLVG1EHlCKUVMTAxOTk4UKVIk\nT+pMSUnF5FH4nx0ehTEY0rIt6+bmhr1GQ/q5E1C6IqSloqL+wsfn1TyJRQi5Q1U8dRISEqjbpCnB\nlargE1iSAS+/itlsfux6u3TpjPPqb+C3pXA4Apdxg3ixR49sy2q1Wr6cNw+XQc1wfa8fbj3r0Lp+\nXVkxJvKMRaZlctSwTMsIK+nRfyArUxwwvD8PUpJxebU1/zekPy+/POSx696+fTujPhzP7Tt36Nax\nAxPefw+t9sF/IB85coR9+/bh5+dHy5YtZcWM+E9WXS2TE5LchbWUqlKNC+O+gYo1M3b8OJc+14+w\n+Ksv86X9a9eu8c0335KSlkqXTp3uux4lxMNYdbWMEE+y4KAg7HZvztgwm3Het5VypYIs0tatW7fY\nsWMHUVEZF1WvXLlC5dp1eH/pCibO+JSaDRrR/cU+eTItJMS9ZOQunjrnzp2jftNmpJUohfnOLcoW\n9mDHpt/R6XR52s6uXbto07kLGr9SGC6f49XBg7AHZmyJQOmT4NPlAGiGtmfma0MY+frwPG1f2CaZ\nlhHiIW7fvs3u3btxdnamcePGD50Xz63iJYOIHTMHQtvD7Xhce9QhtGY1fjt5HoaOg+adMgpuXskz\nGxaxfd2veR6DsD1WXQopxJPO09OT1q1b53m9O3fu5NChQwQEBBAbfRmatLvbYBFU7WcpE1gIu/Dt\nmM8ez0zumrPH8PEqmuexiKebJHch8sgnM2by0WezMTdug/2hL9AV8SJl3U/QrifcuAaRW+j21k+U\nKOHHmHHjUVF/YW9vj9ueP5i8409rhy9sjEzLCJFLZ86cYe6XC0hNS6Nz+3Z06PI8hjUnwMcf9Mk4\nP1cBkhJJc3WHWzfp0uk5fl76I5BxYXXFihVoNBq6dOlCiRIlrNwbUVDInLsQFhQVFUWtRo1Jem4g\nyqMwzt/NQJkVaTtuZJbR9XsWU/R5DMM/BmcXXGa+xU9fzKVDhw5WjFwUdDLnLoQFfTZ3HknPD0EN\n/xiA1MAQHD56Bc3SeaiuL8GujaQdP4h53BfQvjcA+uREvl76P0nuIl/IOndhk+Z/uYAyNWtTtlYd\nFi36Js/qTUhIYOToMaxavwFVyOufA0WK4e/vR5m1X6Op6YzP9NepVLky3LN+XXMrDjeX+5db7tq1\ni2+//ZY9e/bkWZxCyMhd2JzFi5fw1icz0I9fCCYTw8cPwtXVle7duz1WvSkpKdRt0pTzhUpgjI6G\nueMhqCy4F8Jl6us0b1wPL6+iFO/Xh5deeom9e/fS7oVu6GOvQGoKLsvmMWbrlix1vjtuPLMWfYum\n1jOodz/g3RHDeW/M6MeKUwgAlJVYsWlh4xq3bqv47BfFMZXxM+0H1aJTlxyd+3+fzVJuRb2Uo6ur\n6jlgoEpJSck89tNPPyn7Yr4KB0eFT4BiyHuKslWVxqOwat2+vXLxC1QMHaccmnZUpStXVXq9XkVG\nRqpXhr+uho8cpY4dO5alrbNnzyrnIl6KHTcy4gy/qpw8C6lr167l6echbEtOc6eM3IXNcdXpICHu\nnx234nDLwd2nq1at4v3PPkf/3Q4oUoxV7/fH852xzP/sUwAmTJ+BqdlzMGIynDwIb3aHxX/i9u6L\nhG//k9QfI6FUOdKV4mzvhnz88cdMnjyZunXrZtteTEwMToHBpBa+O71TzBen4n5cv34dgE2bNuHk\n5ES7du1wdXUFID4+nrHjJ3DizDka1qrB+PfexdnZ+TE+LWGrZLWMsDkRERE0b98Bfa8RYDbh+tMc\ntv2+gVq1aj30vJeGvcZC9xDo+0bGjpOHCPygDxeP/YXJZMLR2RnzvmRwcMw4/sEgCCyD07fTMCQl\noiLvgPPdL5F3+1M44nfiY649sL1bt25Rslx5Ej/6Bp5pA5tWUOiT4Wz6dQ0t2nfAVKMxJCbgfSuG\nfTu24+LiQpW69blYqQGGBi3Rrf6WZ1w1bFi1Qp4m+RSRB4eJp1b9+vXZuXkTw+zjGe54h91bt/xn\nYgfwLeaFw9lj/+w4cwyvohl3jtrZ2eHs5g4XTmccM5vh5CEcF03l4w8/pHSFSjDuJbhyAbashm1r\nSdHrH9peXFwcAf4BaEZ1g2qOeM0cxcY1q3nrw/HcGfw+STOXk7RgE9EV6jFt5v+xe/duYpQ9hvfm\nQvNOpMxcxrY/t2f7onohZFpG2KTq1aszp3r1RzpnxPDhfNOgIfFvdMFcuBj2f6xg7tqM571oNBrm\nfPopw15uibF1D7QnD+KvNbNsWzjVq1enUrmydOjdF3PkFijqg33tZ2ns8uDRVXJyMo1ahBHXti9q\n1GdodmzAddsKqlWrxpWYGFTl2pllDZXrcPHSXu4GkqUeDfIXsMherkfuy5cvp1KlStjb23PgwIEs\nx6ZMmUKZMmUoX748GzdufOwghcgPRYsW5ejePczq1pZpjStzKGI39evX5/jx4zz/Yl8W/7KC4QP6\n83GF4sx/tT9H90ZS/e4XSNu2bZkzdTLOKUnYnT1KPZXE0q+/uq8NvV5PVFQUW7Zs4WaSHvXLQhjR\nBXX2BHEpBs6cOUPzxo1x/nY6pKbAzVhcl39By2efoX79+nibDThMeR3C1+I8uieNGjbE19c3vz8q\nURDk9ortiRMn1KlTp1RoaKjav39/5v5jx46patWqKYPBoM6fP69Kly6tTCZTrq/4CmFNZ8+eVW5e\nxZTm7RmKT5cr13KV1ZRp0x9Y3mw2q7S0tCz7rly5orZt26a+//575VbUS7kFllL2OldFzcaKI0bF\nwVTFM22VvZu7unjxokpOTlYdXuiu7B0dldbJSb019l1lNpuVUkrduHFDDXxlqGrQsrV6852xSq/X\nW7T/4smT09z52Bn238l98uTJaurUqZnbrVq1Urt37851gEJY08cfT1T2fUb8s6xyxWFVrGQppZRS\n69atUw1btlZ1mrVQS5Z8n+35P/y4VOkKF1Ee1espnHWK77Zl1LNsn8KjsGJbTOZyzRLlKmY5Ny0t\nTRmNRov3URQsOc2deT7nfvXqVerXr5+57e/vz5UrV/K6GSHyhVIq6zz33d+3bNnC8/0GkPLObHDS\n8fJ7I1BK0afPi5lFb926xaBXXyX1uz9JMZvhre5Q+9mMg5VqgV8QXDgFRYrhsG0tvbp0ytK2o6Oj\npbsnbNhDk3tYWFi2V+InT578SM/HeNAyrfHjx2f+HhoaKm9+F0+cXr16Mq1+A5J9S6JKlMRl/jhG\nvPIy879dTMor46B1xl2vemDWos+yJPfLly/j4F2C1DKV4XY8xMXAuZMQXB6uXkRzMQqXScPQoChd\nxJNx7y6wUi/Fkyw8PJzw8PBHPu+hyX3Tpk2PXKGfnx+XL1/O3I6OjsbPzy/bsvcmdyGeRKVLl2bX\nlj94f9IU4o9sptcbr/HKkJfoNXAwpKX+U9CQisO/3uYUFBSE+eZ1OLQbqjeAfm9Ct9p4VK1D+plj\nfDx5IvVq1cLe3p7atWvj4OCQz70TBcG/B74TJkzI0Xl5Mi2j7lmK1bFjR3r16sWoUaO4cuUKUVFR\nD7xDT4iCoEqVKqz+6ccs+94c9iprWrdBr9GAsw7d/PG8v2hhljIeHh78b/FiuvftgF2RYhjjrjNt\n+jTKlgkhJCSE4ODg/OyGeMrk+g7VlStX8vrrrxMXF4enpyc1atRg/fr1QMa0zaJFi9BqtcyaNYtW\nrVrd37DcoSoKuL179zJz7nwMRiND+/elRYsW2Za7c+cOly5dwt/fn0KFCuVzlMLWyMs6hBDCBsnj\nB4QQ4ikmyV0IIWyQJHchhLBBktyFEMIGSXIXQggbJMldCCFskCR3IYSwQZLchRDCBklyF0IIGyTJ\nXQghbJAkdyGEsEGS3IUQwgZJchdCCBskyV0IIWyQJHchhLBBktyFEMIGSXIXQggbJMldCCFskCR3\nIYSwQblO7suXL6dSpUrY29uzf//+zP2bNm2idu3aVK1aldq1a7N169Y8CbSgCQ8Pt3YIFiX9K9hs\nuX+23LdHkevkXqVKFVauXMmzzz6LRqPJ3F+sWDHWrl3LkSNH+O677+jTp0+eBFrQ2Pr/YNK/gs2W\n+2fLfXsU2tyeWL58+Wz3V69ePfP3ihUrkpKSQnp6Og4ODrltSgghxCOy6Jz7L7/8Qq1atSSxCyFE\nflMP0aJFC1W5cuX7ftasWZNZJjQ0VO3fv/++c48ePapKly6tzp07l23dgPzIj/zIj/zk4icnHjot\ns2nTpocdfqDo6Gi6dOnCkiVLKFWqVLZlMvK7EEIIS8iTaZl7E3VCQgLt2rXjk08+oUGDBnlRvRBC\niEeU6+S+cuVKAgICiIiIoF27drRp0waAOXPmcPbsWSZMmECNGjWoUaMGcXFxeRawEEKIHMjR5I2F\nREZGqjp16qjq1aur2rVrqz179lgzHIuYPXu2Kl++vKpUqZIaPXq0tcOxiBkzZiiNRqNu3rxp7VDy\n1FtvvaXKly+vqlatqjp37qwSEhKsHdJjW79+vSpXrpwKCQlRU6dOtXY4eerSpUsqNDRUVaxYUVWq\nVEnNmjXL2iFZhNFoVNWrV1ft27d/aDmrJvcmTZqoDRs2KKWUWrdunQoNDbVmOHluy5YtqkWLFspg\nMCillIqNjbVyRHnv0qVLqlWrViooKMjmkvvGjRuVyWRSSik1ZswYNWbMGCtH9HiMRqMqXbq0On/+\nvDIYDKpatWrq+PHj1g4rz1y7dk0dPHhQKaVUYmKiKlu2rE31728zZ85UvXr1Uh06dHhoOas+fsDX\n15fbt28DGXP1fn5+1gwnz82fP5+xY8dmLgUtVqyYlSPKe6NGjWLatGnWDsMiwsLCsLPL+CdSr149\noqOjrRzR49mzZw8hISEEBQXh4OBAjx49WL16tbXDyjM+Pj6Z99m4ublRoUIFrl69auWo8lZ0dDTr\n1q1j8ODB/7koxarJferUqbz55psEBgby9ttvM2XKFGuGk+eioqLYvn079evXJzQ0lH379lk7pDy1\nevVq/P39qVq1qrVDsbhFixbRtm1ba4fxWK5cuUJAQEDmtr+/P1euXLFiRJZz4cIFDh48SL169awd\nSp4aOXIk06dPzxx0PEyu71DNqbCwMGJiYu7bP2nSJGbPns3s2bPp3Lkzy5cvZ+DAgblefmktD+uf\n0Wjk1q1bREREsHfvXrp168a5c+esEGXuPax/U6ZMYePGjZn7/msk8SR6UP8mT55Mhw4dgIy+Ojo6\n0qtXr/wOL0/d+5gQW5aUlETXrl2ZNWsWbm5u1g4nz6xduxZvb29q1KiRs0cs5Msk0QO4u7tn/m42\nm5WHh4cVo8l7rVu3VuHh4ZnbpUuXVnFxcVaMKO/89ddfytvbWwUFBamgoCCl1WpVyZIl1fXr160d\nWp765ptvVMOGDVVKSoq1Q3lsu3fvVq1atcrcnjx5ss1dVDUYDKply5bq008/tXYoeW7s2LHK399f\nBQUFKR8fH+Xi4qL69OnzwPJWTe41atTITH6bN29WtWvXtmY4ee6LL75QH374oVJKqVOnTqmAgAAr\nR2Q5tnhBdf369apixYrqxo0b1g4lT6Snp6vg4GB1/vx5lZaWZnMXVM1ms+rTp4964403rB2KxYWH\nh//nahmLT8s8zIIFCxg2bBhpaWnodDoWLFhgzXDy3MCBAxk4cCBVqlTB0dGRxYsXWzski7HFP/mH\nDx+OwWAgLCwMgAYNGjBv3jwrR5V7Wq2WOXPm0KpVK0wmE4MGDaJChQrWDivP7Ny5k++//56qVatS\no0YNAKZMmULr1q2tHJll/Ne/OY1SBXCiVAghxEPJm5iEEMIGSXIXQggbJMldCCFskCR3IYSwQZLc\nhRDCBklyF0IIG/T/M4eWZsEqn+sAAAAASUVORK5CYII=\n" } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "mu = km.cluster_centers_\n", "print mu\n", "\n", "scatter(X[:,0], X[:,1], c=km.labels_, alpha=0.5)\n", "scatter(mu[:,0], mu[:,1], s=100, c=np.unique(km.labels_))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[-5.77707127 2.47726437]\n", " [-1.40113893 -9.37815706]\n", " [-1.52252875 -3.51768581]\n", " [ 0.92452987 -1.21956947]]\n" ] }, { "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "output_type": "display_data", "png": 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yJKVl9Xw67x2Cgl8hKCjonPtoNBqMJhX1lxkhZrMVVVXs8ni5I0eOsHLpvxg9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\n3nDDDefdzq7hPnToUHXVqlWqqqrqihU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} ], "prompt_number": 14 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "scikit-image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Image processing in Python (scale, rotate, affine transform, colors processing, filtering, segmentation)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from skimage.data import camera\n", "\n", "im_orig = camera()\n", "\n", "print 'image shape:', im_orig.shape\n", "print 'image (min,max):', im_orig.min(), im_orig.max()\n", "\n", "gray() # set default colormap to gray scale\n", "imshow(im_orig)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "image shape: (512, 512)\n", "image (min,max): 0 255\n" ] }, { "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "output_type": "display_data", "png": 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ygnTSZUSdg813cE52ZcEv0ad01vmpoinveU2Ti3asKkN+BwqNF/5YJMFx0kDY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\n8THnwPmTX+Xl5c7w8HoymUQuN3pGxOu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lJSWu31wu53lMO5/PY9asWfjrv/5rnDp1Cs8/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\n+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NCM4Ha7baXcKDX1S5k2HwmQg97f3y+D5qSBnbSu2Zz8DbpPgD0lWqMSk8nNSIaJFLRj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\nh3tNAAAAAElFTkSuQmCC\n" } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "simple transformations" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from skimage.transform import resize, rotate, rescale" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "img = (resize(im_orig, (128, 128)) * 255).astype('uint16')\n", "print img.dtype\n", "print img.shape\n", "print (img.min(), img.max())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "uint16\n", "(128, 128)\n", "(4, 252)" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "im_r = rotate(img.astype('float')/255, angle=15, order=2)\n", "\n", "plt.figure(figsize=(8,4))\n", "\n", "plt.subplot(121)\n", "plt.imshow(img)\n", "\n", "plt.subplot(122)\n", "plt.imshow(im_r)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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7yO2EdyrPkr7c2NrkVjowNkdQo5WUIwm2YKlWTrrkT4kXx0n7Frhm9LgzzJeI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\noaFBhw8fVja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} ], "prompt_number": 18 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "thresholding" ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = hist(img)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "# optimal threshold\n", "from skimage.filter import threshold_otsu\n", "thres = threshold_otsu(img)\n", "print \"otsu thres:\", thres\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot(121)\n", "plt.imshow(img > 127)\n", "plt.title(\"Manual\")\n", "plt.axis('off')\n", "\n", "plt.subplot(122)\n", "plt.imshow(img > thres)\n", "plt.title(\"Otsu\")\n", "plt.axis('off')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "otsu thres: 87\n" ] }, { "output_type": "pyout", "prompt_number": 20, "text": [ "(-0.5, 127.5, 127.5, -0.5)" ] }, { "output_type": "display_data", "png": 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pFQMDA2hra4PD4bS47ahRo2BpaYnQ0FAUFhaCEILi4mJER0cjOjoaFy9eRF5e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ooKREdHo6CgAF1dXf16KnrT1dWFs2fPMnnvilztJ2lvb+8zTY1C+bfyxhtvYM2aNYiPj2ee538S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\n1Ag1xBQKhUKhqJH/AJGFpjrdgrcZAAAAAElFTkSuQmCC\n" } ], "prompt_number": 20 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "edge-detection" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from skimage.filter import sobel" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(sobel(img))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "output_type": "display_data", "png": 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MyoOHt6EIt3k59Qf9OScKY/I65SSTAJ7syrOdnR387u/+LkqlEjweD37/938ff/iHf4hK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\nNDyP6wTn9PTC4TByuRzu3LmDb37zm0i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ltuzGjRu4e/custmsWt354IMPcHR0ZPRB4GYu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\n5sL0q8Hd3R08Ho/5+rOmY6vRN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