{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This post was entirely written using the IPython notebook. Its content is BSD-licensed. You can see a static view or download this notebook with the help of nbviewer at [20160901_RemovingBackgroundFromImage.ipynb](http://nbviewer.ipython.org/urls/raw.github.com/flothesof/posts/master/20160901_RemovingBackgroundFromImage.ipynb).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we're going to discuss a problem that can be encountered with images: removing the background of an image. Our study will focus on the image presented in [this stackoverflow question](http://stackoverflow.com/questions/29313667/how-do-i-remove-the-background-from-this-kind-of-image). We'll use scikit-image to remove the background of the following image:\n", "\n", "![http://i.stack.imgur.com/SYxmp.jpg](http://i.stack.imgur.com/SYxmp.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loading the image " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get started. We first load the image, using the `imread` routine from scikit-image. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from skimage import io as skio\n", "url = 'http://i.stack.imgur.com/SYxmp.jpg'\n", "img = skio.imread(url)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What sort of image do we get?" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shape of image: (1100, 762)\n", "dtype of image: uint8\n" ] } ], "source": [ "print(\"shape of image: {}\".format(img.shape))\n", "print(\"dtype of image: {}\".format(img.dtype))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is actually a gray image. We will remove the background using the following approach: \n", "\n", "- detect edges\n", "- seed the obtained image to separate background from foreground\n", "- perform a watershed transformation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Detecting the edges " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To detect the edges, we use the sobel filter:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from skimage import filters\n", "sobel = filters.sobel(img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's display this:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "plt.rcParams['image.interpolation'] = 'nearest'\n", "plt.rcParams['image.cmap'] = 'gray'\n", "plt.rcParams['figure.dpi'] = 200" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HLpfD+Pi45GL5fD7RQMDiMR6vz73GWLupqUEXm5fF5nEpWjGlToPcK99S1WvG\nGJRKJUxPTyORSAgDhcNhSfXO5XLiem21WhgdHRVmcKd+WGtRrVbx9NNP4z/+4z/w/PPP495778XW\nrVuxfv167N+/Hy+++CJ2796N97///ZiZmZG9unt7eyU9hPtjaGB++PBhyaTVzMhO7NPT0yiVSujq\n6hK3bTablf+XG0c4V2klwHeK5NYIWlu4zyM5zvwWw3TXsgUnBYpeKILrYDAojMwtALhK8hq9Rx6v\n52YvdKMODAzINsW8N4E6BS4ej0u8YmhoCDt37kQikZB3jUajaLVaKJVK0sazUCjg4osvRqVSwZ49\ne2SrAO4dqAumNHmZm16geDFzyn2t26zS13e698I7rAT4ToU0YNM/nQCe+4fX+v1+WU37+vpQLBZF\nKzBuwUKhVColZayxWAyNRgOVSuWEXZG06cWgnLUWg4OD2Lp1K4D5jWdmZ2clKs1crUgk0qax2Akx\nHA7LVgCMi9BsYf9a5lBFIhHs3r1bhDsUCmF8fLzNzFnMhPLyLHmRGzy7tZHbqaBjGG5Moz9bdN4X\n/XSFTliFFhtQd/BJMzEZq9FoIJ1OI51Oo1KpyPFIJCL3IMhl28zp6em2LFzeWzMfU8QjkQimp6fx\n/PPPSwwjl8tJZR0bJVSrVQHy9XpdCpY2bNiA2dlZ0ULAPOPlcjmp5KNAURiZ8+X3+xGLxTzHwb2o\nuJlaj20nIdFz4fZCuf/vlMzJz5bCGyuC4UFeE6NXHy+PU6djvB+ZkGWlBKb0SLF/lI5sVyoVjI6O\ntsU82BrH/bxGo4FyuSwR7Z6eHqxatQrpdBqZTAbRaFSEgME7CpYxRtzHP/jBDySoSKKniQJOLZTL\n5aSK7+KLL8Yb3/jGNk3mxXxu75CXR8rL5eqeH/c8LYbvvBarFY1xCuQ1aG7ziMfc5wDek5RIJNBo\nNBAOh1Eul6VslcLAajpGuZk+snHjRqkNP3ToEEKhkGTG8hpdj8Codz6fx/T0NKrVKkqlkjRi0zER\n/d7sKKjBPdNJMpmMnMcOIQzsHTt2DK1WCy+88AKCwaBorqWYW4+1fqYbV+jPvEwp94/XfOn7ermL\nvWhFMJZBehIWq7fgZ9qPb+3xJsnNZhOZTAbZbBatVgszMzMClmm/8xk8vmvXLpTLZWmOEI1GBZAD\naNucXoP3QqGAbDYruyRRKBqNRludBzEGC6SIh2jq6cg3U0V4D25Ow/OuvvpqT2Z0j6Ve8UmdzCmO\nvU521OcBugvtAAAgAElEQVR1Ii+h0d61FY1xCuQVEOo04W4V7V6Z+Dc1w5YtW9qYmA0JaGbp5mu1\nWg2PPvqo3Jfbe1UqFaRSqbY2nIFAQJ6lV1hiEWNM21YDbMIQDoeRyWREKAFI9V40GoXf70elUsHg\n4KAIKwDxYm3YsAGhUAjlchn33XdfW9TbyzzqtMLr893X6HF1j/ViGtyLFjPzNK0IxhkgtxB0Ao6r\nVq3C448/jng8LrY4d0ZKJpMSS6AQbdq0CeVyGdVqVYS1Xq+LdqG9TyBMDaDLWilkbApNYeC5zWZT\nGhjo9z569Kis0IlEAjMzMwgGg4jFYrIHH7cDKBQKGBkZwSuvvIJrr732tOMXblP0dO51yu9w1p94\njtNiK4l7BXRf4xYOa4+nbmzZsgXpdFrMD55fLpeRSqWQy+VECNh4+brrrmvrJ6V3R6pUKohEIlJa\nCsy7ZqkpmMZOwQgEAohEIrDWigeJniYmCGqGTiQSCIVCyGQyiMVi6OrqAgCUSiXBHtZa8Xht3rwZ\ntVoN27ZtA9COe7zs/E5jC6DtOy81H268sRS5TbZOtCIYi5C7D9NS5hI/0yCcDJnL5ZDJZKRVjQbP\nXH1ptzebTdx+++34p3/6J7HntZuRjExNUygUkMlkEAqF0NXVhVgsJu5emlvpdFrqy8vlMiYmJiRi\nzfcA5ouV4vE4Jicn4fP5cOjQIekEwtoQpp0nEgkRrFKphE984hP47Gc/i56enhMSCTUTk7ywRqf/\nlwLNnYTQ/bzlCBywIhgnkF55dN6TG1csNrhuO7q7uxtvetObcODAAUxNTcHa+dQKMlVvb69oCTLq\ngw8+KM/R5avao6Q3brF2vjN5KpVCd3e3dCDp7+/HwMAAEokEpqamcPToUeTz+baaDj6T35ua4s1v\nfjOGh4cFk1DbVKtVKYRixDkcDuOxxx7DunXrcN1113XUru7x1FpKg+1OGKMTNnELnZdJuxxXcMdJ\nPBd+ANjX4sfMp6JYY4z87f7cfZzH3J85jmODwaD1+/12y5YtNhQK2ZGRERsKhazjONbv99t0Om39\nfr8NhUJ2aGjIBgIB6/P57G233Waj0aj1+/3y4/P5rM/nk2sdx5H/k8mkDYVCNhaL2XQ6bVOplI1G\nozYYDNpAIGCNMdbn88n7OI4j1weDQdvX1yefhUIhC0D+j8Vidv369TaTydhgMGhjsZgNBoM2HA7b\n/v5+m8lkbG9vr92yZYtNJpO2t7fXBgIB+xd/8RfyDu4xcxzHc8yWmpfFjvt8Prmf3+9f9Dr904kH\nVzTGGSS3new4Dq6++moUCgVs3rxZtutigzUCbWqLQCCAT33qU/j2t78t2ECDacY2dAzC5/NJJi6D\nhTzOpm06RkCvFbEPPWbMa4rFYshkMlizZo00b2B6eV9fn9RmcOcnY+bbAMXjcUld+cxnPoN/+Id/\nwA033LBoa5szSWe6k+FKEuEySDOVJg383FjD5/NJ2/y+vj5MT09LWka5XEY8HkehUEA8HsfatWsx\nPj6OX//1X8fnPve5tsi0OxFP5wWxjoL1F0xfd/eprVar4gjw+Xxte4Bba7F+/Xrs27dP7s2cLqa/\nv+lNb8IzzzwjsZTu7m5MT08jGAwil8shkUggkUiIK9lxHNx+++144IEHpPeUri7U5tJigFyf704S\n9DLPOnkH3Y4S/b9dSSJcHmlw5gbf+rc+3smX7vf7sXr1aqxduxbGGGSzWVSrVanKY6e/Wq2GNWvW\n4Atf+ALK5TIASOq2+73cHhtW2fEcahXtAKBLV+/OpDN6NdZoNBro7u6WmnMWJm3btg2pVApDQ0OY\nnZ1FPB7H3NycVCBu27ZNCqkikQjuuusu/PZv/zZ6enraUk/0GHZyXHjhNy/M4XW+Znz33CwneVDO\nXdZZ5zEtNglLpZF7XUuBymQykur91FNPAUBbzMFxHFx22WWIxWJIJpPSdA1AWwdz/Uxdh8H/Ofns\nMcUcq1qtJp09tOeJ4F03Uzh69CistbK/BQuUCPwPHjyIF154AZs2bZKcq3K5jFgsJm12YrEYIpEI\nwuGwlOb++Z//Oa699lrccccdbc/vRJrpl2JgL4DOsdOk/19O8iDpghcMrwlYjv/ci3hdJBKRDRyv\nuOIK2VOCZobf70cmk8H69euRz+eRzWZx8OBBYWi3xiIu0GaaWzjIyKy38Pv9Um0HHN8SWaeS62j5\n0NCQ3HNkZAQjIyNIJpOCYT74wQ9idnYWExMTWLNmjTRuYOxlbm5OPG3hcFg0USKRwNe+9jW87W1v\n89zGYDnj69YSXuTF9F7ncpyWEpALHmO4VyfdUWMx0gOs3bqO40g9NxsdE9yS0WZmZhAKhXDTTTfh\nBz/4AcrlMorFoiQQsniI3TwYudbv7GU/U4D4t/5ft+MkViAwbjQa6O/vx8zMDMLhsLQQrdfrmJ2d\nRTKZRDqdxqZNmzA7O4sjR45IRjAFoVgs4gMf+AC+8Y1vCD7ivd/znvfg0UcflTwrAOJUcH8Hr+/l\nPtc9ZxpfLIYntPNBaZsVjOEmL5VN5vFS0yRtw2o7lkxXqVSQyWRwyy23SMNjv9+PcrmM2dlZCZTd\nf//9eN/73odSqSSMxFVcN1JjvEB7l5gazi4g9DLxXeiN4vtRE1lrpUUnn8f6DO78unbtWgwNDWH7\n9u2iMSYmJvD9738fU1NTCAQCKJVK0manUqlgZGQEP/7xjyXHS7+3tfO7RenvpBuoucfWrSE4Np3I\nSyj0cff/y/GUXdCCAXhHTL1Ut9eqps8luA0EAtiyZQs2bdqEH/3oR9LoTO+FR/DrOA4ef3x+Lx0y\nEE0QMrkGx+7sXQCCI7SwUjvwGIWdWsyNWTKZjHRALJVK2L9/PzZs2IAdO3a01Wa0Wi0cPHgQ09PT\n4iTI5/NYs2YNDh48iAMHDuD6669HJpOR97DW4r//+7+xbds29PX1yXt7ORaWq6U7LVad7rOce7vp\nghcMktdEdVrReI7+zejv9u3bcemll+Khhx7C7t272zxbusUN00WeeuopfPCDHxQVzxVSay7tfvWa\ndGbq6oxdnUTI57HrIc2ZarWKSqWCmZkZVCoVrFu3DrVaDX19ffjWt76FgwcPynMbjQYuueQSybJN\nJpPYvHmzdFHv6elBNBqVFHq6e621yOfzuP/++9v2AV/M/nebg8uhTthlMc2/GF3QguE1iPq3Ji/P\nFclxHPzyL/8yuru78cQTT+Cb3/xmGxCmJ4gb0bPQp1KpIBwO4+6778aHP/zhtn62ussfbXW3NnO7\nH8lY2uPEYzoBkYJCDxmDd6tWrUIymUSxWJQ0lWAwKLUbL7zwAq6++mps3boVXV1d2L9/v2Tn5nI5\nNBoN/Od//icuv/xypNNpAPOaNBqNYuPGjXjHO97hOZbuse+UiqPnopMncbE5cy9mi9EFLRiavNSw\n1wSQqTSjPfzww7j77rtls3iCZv5trRVQq02dRCIhkeovfelL+MpXviLXUmPQtQugLZ2czE+zi//T\nbavfl+5ZdxIicUAgEMDExAS+/OUvo1QqYXZ2Vu5NIW61WojFYnjooYdgzPyWacRG1ByZTAbNZhNT\nU1O49NJLkUwm5d02b97c1rXdPd6LmTtepuvJzBnpZDTHmdiDzzHzm8Z8a+H/jDHmIWPMLmPMg8aY\nlDr3E8aYPcaYncaYd53us0/jnU+YEK/YhddAkkk/9rGP4eMf/zgA4J3vfKc0MyCz6azYSCSCYrEo\nyX5kxnq9Lg0OWq0Wbr31Vtx1111tblTGIDTwdgNS7c3SnihtklB78Vw2eKPA/N3f/Z3EJ6y10n2Q\nwL7VaqG7uxuVSgWTk5N44YUXkMlkZCvjO++8E0ePHkWz2cSNN94o+3DQu+b3+7Fnz542d7F7fN2M\nrs/pJBzuz0/FbPIk/fBT+QHw2wD+HcC3Fv7/KwC/u/D37wH4y4W/LwHwDOa7H44C2IsFd7HHPZeV\n9Hc6P8YjYZB/M8mN5zKRL5FI2B/+8Ic2EonY7u5uG4/HbSAQsLFYTJL7YrGYTSQSbUl34XBY/o9E\nIjYSich1fr/fBoNBuVc6nbaXX365XbdunfX5fDYajUpyIZMG3b/1++r3dxzHhkIh6/f7bSQSsaFQ\nyIZCIRsIBKzf77fxeNzGYjH70Y9+1IbD4bbERcdx7MDAgA0EAnKPcDhsjTE2FovZZDJpr7/+evsL\nv/AL9rrrrrOpVMp+4hOfsMFg0IZCIXvttdfanp4em06n7RVXXGE/9alP2Q0bNpww5ouNe6f5cl/n\nPu51ntdzsUgS4WnFMYwxqwF8EcCfAfi4tfZnjTEvAbjGWnvMzG9O+T/W2jcYY35/4UX+auHaBwD8\nobX2//O476sex9D2N9Du2nMD72g0igcffBA333yzrKraDo7H46jVaohGo9KgjDEBrrbUDqy6Y9Uc\nAWm9Xpcdlgior776akxPT+PFF19se2+aRxqYu7tzUHvQjPL7/W3BP2st/vmf/xkf/vCHBQ/xvjrx\nMJ1OY3Z2VtJFuP9eNBoVj1ShUMDHPvYx7NixA4lEAvfddx8SiQQcx8H111+PRx55BJFIBENDQ3j4\n4YcFmAPt0Xv9/l7N07TnyR0s9DKz9P3cc02yHeIYp6stvob5/b2vwXGNMeM6J7vw+3MA/g91/J8B\n3PpaaIzFViX9WSAQsE888YSsppFIRFKuM5mMDYVCNhwOSyp5OBy2qVTKBoNBSfnmtcYYGw6HbTqd\ntj09PZK+zWf6/X7RDPF43IZCIWuMsfF43I6MjNgHHnjAZjIZG4lE2tLGqYl02jWfzXOoWYLBoP3M\nZz5j3/zmN0uKOTWCz+ezyWTSplIp0Q7xeNxmMhkbCARsd3e3DQQCNhAIyPtRQzLtndrttttus5lM\nxr7lLW+xsVjMvvWtb7Wjo6P2pptuEm3ktXrrOVhKc/Cn0706Xe/+vBNvn87mlDcBOGatfRbAYjD/\nVV/9T4bcK4n+sdYiGo0iEAhg1apVWLNmDbZv3y4rVKPRQCKRAADZjMUseIHoUeKedOzc0Ww2JXGQ\ntj43jmEDZA1K2RqHq3a9XsfRo0fx7ne/W5L2vvGNb+AjH/mI9JWlZykYDIpW4sr/6U9/Gg8++CAu\nueQS+Hw+fPKTn8RLL70kDgAmCwaDQVSrVUlI5LN1HylqQGbyUsOk02ls27YN1lokk0ncd999mJub\nwzPPPIOBgQHE43FcddVVmJycxOjoqGgTt7Xixh6dsKAG14ulm3sB82XzyamaUsaYPwfw8wAaACIA\nEgDuA/BmANcqU+q/rbWbPEyp/wLwB2fblFpM/QLzEeMnn3wSP/3TPy1tY7gZo2YiCoBdANfW2rY8\nJ0Z5aSrxGFPDi8Wi5DFRgMhsTAvnvQOBgKSgs9abz/P5fPiVX/kVbNq0CXv37sWVV16Jj3zkI2i1\nWtIhXedLUTi1S5e9bmmW0fwjUE+lUhJI7OrqwtTUVFs9eSqVwsaNG9HV1YWHH34Y5XIZkUhEIup+\nvx+bN2/G7t27kUwmEY/HcejQIeRyubax9xIU/ZkWDC8zuJMptRh1MqXOSK6UMeYaAP/3Asb4awDT\n1tq/Msb8HoCMtfb3jTGXAPgKgJ8CsArAdwFcZD1e4GwKBikWi6FSqeCuu+7CHXfcIZiBHQNZ5+C+\nD+sbWNdtFlysrVZLmhXwfEbGiQ+4SjNqrruOs/s5NQATEJk3ZYyRe/H+xBwsJCJ2YJO3SCQigspt\nzQCIduG7s2mazqeKRqMol8tSz53NZlEqlUSbBgIB3HTTTXjyySdx8cUX48knn4QxRsag0WhgZGQE\nfr9f6s31rkyd5kh/N/ffy/3Ma855XifBeDXiGH+J1+E+35VKBY888gh+/ud/XtyZXBWj0ahszEjT\nhb2UdGSbJpHP55Ou5uzNxJVau1Q5UYxGO44jXQqpQaip3CYXBYfp6dbOu4Hj8XhbVSBzl5jIyJgE\nz9Hp4MyUJVjnNVz5mRTJBm7sUcUGDg899BAqlQoee+wxRCIRDAwMyBj29fXBGIOpqSlcfvnl6O/v\n72hO8X1I7kXsVEjP07LOP62nLZC19lFr7c8u/J211l5vrd1orX2XtXZWnfcX1toN1tpN1tqHzsSz\nT+Fd9Wohq/hv/MZv4MYbbwQAaUxMhuRvaoFarSYbMubzeWEU7nddr9cFV7B6jvdlG32aLhSaQCAg\nTZE5iWR8mkJcwY2Zb7sTDocRi8XaGFkXLRF7MNlQJxYSG+jdYiORSNv+efl8XoTRmPmGb47jIJvN\niubQzM1WoAAwMDCAQ4cOIZvNYnBwEFNTU9KhZOPGjRgeHpaxdzN9p/WSGkCnx2ht4TXX/O3uvr6U\noF0waede6pRmynPPPYdLL71UVjfa3ABEW5A52WEjHA4LgwPH09WJEcjE8XhccpIY3NIp5WQ6poqQ\nMblFGM0jfgemZ0SjUbH1yXB8PrENzTy+i+5ESNctmSudTmNmZkYWjmQyiVwuJwuCvjej+N3d3ejr\n68OuXbtEc2kM5fP5kE6nMTo6Kn1xK5UKhoeHsWfPHvzSL/0S7r33XpRKJcFv+p3cGGOpzzrNs5cw\nvBam1DlJWlOQWq0WPvShD+GnfuqnxH6nDc+VkJupUEtocO3eJZUMSc8SNQeZic/Qpg+bI5TLZWnY\nTGEgQKZWoReIGbvRaFTa2dBM4m+u5hQKAGIeUuCIndh8jZ8z5sGxcEfeaU5u3boVs7OzGB0dbUtL\noVAaM98o4bnnnkMwGERfXx+6urqwc+dORCIRfPWrX8WNN97YZiJyrrSHqtN86t/ueXZ7pDrxQCe6\nYATDi6y1ePbZZwVEEgBzNQ2FQmLL625+kUhEEgLJQDRVKDTlclmANNvoi498wRTg3tnZbFYwCLsJ\nAsdrMnw+n+yOpM2CaDTapn1oOumiHgJr/s1VXW85wM+JURzHESEJh8MwxojJRqrVavje976HyclJ\n0abaE8d0EjZ7m5iYwM6dO+X5zWYTa9euxWOPPYbBwUEA3is6/9aMrutONLmPnU6HkgtGMLwG9sEH\nH8RLL70kq5P2shAU02Zm2SmZi0zPFZ6uUwJbmj3pdFoKlZj2HQgEkEqlpAoukUgIGK5WqxIT0SYQ\nI+IUHsdxMDU11aZl6vU60um0/E3txRU+EAjIXtz8LnTrcoXnHhulUkmElRvQEAvRVQ3MC8POnTul\nXryvr08cAIVCAa3WfFd3mnFs1Fav1/Hiiy9ibGwM1lrpmLiY7a9NI7f5tJh36lToghEMPZh+vx9/\n8Ad/gFtvvVVqCagNwuEwEokErLVS4F8ul2Ul58qrd1HlD8s8yTiO42Bubk4S6ui+rFaryGazCIfD\ncn+utPzRMQvWbrPlJs8NBAISC6A7mV6lQCAg8RduAVCtVjEzMwMAsspT47E9KLWN7klFLUkQT81F\nLZVMJmWRoAbTi4uuMymXy7jqqqvEbcw2oI8++qhkH3fSCG7zyY01KCA8thwh6/j5+Q6+3QAsEAjg\nkUcewc033yyrIieTHiVOYjKZxNzcXFs/Jp5Ls6Krq0t2Q+KKy12TaMP7fD5hYOKNYrEoe+JRC9Ek\no5bi3niMeVAoiVM0kCbTAmjLaarX67JpjcYNNNHY1SOVSokA0zWtA4MUCDoPWKDE4zSRotEopqen\n2/AatSGF7vLLL0cwGMSPf/xjABBvH7WyV2zDay718U5uX1Kn2Ecn8H3BCcbAwIB4QYgf2BKGjc6o\nAaj+ucccmZ2rK8E3gbZOwms2m4jFYigUCtLNnEEyHdegkOhkw2AwKMzMVjSasSlAXGH5TlyhyYjh\ncFhcro1GA5lMBqVSSZwJuu5De8xyuVxb3IOfe6W+c0GgAHPh4DXUDATnNDtXr16NSy+9FA888IDc\n+3/+539w1VVXLXsu9fEVwTi1+8lAsAGBXpXIsIwMM/2CrkqCUB0DoMlC0E18EgqFJBhGDxBzrDR+\nKBaLsupSGxCw06vE3k00kVgsxJgJy0j19+O7krkZqyGz0vyx1sp9dNCPJhHNNY4Dvw8xib6P7irC\nZxH4UotRKKh1WI+STqclHuP3+7Fjxw5Pj5PbTasB+VLne2EPZQZfuIIBtFfe0R1KJgMgk8tAV6FQ\nkGs40WRk/h2NRqXtDfemI46gTU9ffqFQQK1Wk7wjncfEYCDTOcis/oUdUbm1MU0mbfLxuwUCAbkP\n4zCMznP1p1Yiw9IkIpbhdmPUdBQqppi7y2M5Ftq7Va1WEY1GZXEBIF40aiq+B2M+69atkxQTdlPR\nmJAC4NXWSAuITmXXNfP6f33ewvUXZhyDA+nz+fDXf/3XwphcJTnJtLUjkQgSiYSYFmT6UCgE4LhL\nstlsysYrdOvS1CiXy2J/J5NJ5PN5pFIp0QYUOmA+WkwmobAxUVHXcxBX0FHAZ5FZtU2fz+clBkNB\nAyDpKUxZ0SWuOrhI7UGTkAJH7UbhSqVSMhYUVgZNdUIlvwsdBjpORPDNd3nHO97Rtl8HgLYgZ6f5\n1drEndO2lJnlRee9YJAcx8GOHTuk7YvjOAKa6RJloOvw4cPig+cKzDwpCoBuK0MThLEGMkMoFMLM\nzIyA4EgkInt4M9Gvq6sL8Xi8rR8TgT3TuwGIZ2xubk4APjNYGSXnCk0PGsE13bFzc3OiEemdouag\npgiFQhgYGEA0GhVGJyNxxacGI/aihmBsh4sJhYgpNdxiDUDbokQs1Wg08PGPf7xjjKKT2UTyioB7\nnbMcK+mCEYxms4l77rmnDUgGg0HxAFGLcHKLxaIAXqZb6GQ+gmuaKPQg6WAaANlptVAoSHSZKyWx\nQ6VSkdynRqMh+VLWzjdRoLdHu0krlQpKpRJqtVpbWko4HJbz4vE4YrGYfEY3Lt9DR94pgBQwtuDk\nvfhDpwMTHmnGsWWPjurTkcDAKbNp6QwwxiCRSIh3DZjHgLrropvcwqGxldt1ezow4bwWDA02n3ji\nCdn8nW7IarUquEJvEM/VjLa3tm8JWNnlm+7NfD4vMQdrrdxPg3y+TzqdFgDKFG9qIV1H0Wq1JGpO\nzECtRIYkU9LDRZzj9/tRKBTE06adBXQZExdx3w5qzbGxMbkHNSOTJ+lapXDTteuO+USjUcFEFBhq\nZ8Y70uk05ubmZEEJhUK4++67JR1ekxZOjqWOV7hNLXeMQx/nNYvyzvkOvmkqpFIpsbk5uTShfD6f\nMCixhXZJplIpzM7OiveI3idqjdnZWbkXI7hMwAMgXimfz4d8Pi/3oanG/lJMpZiZmREm5qrOyafG\nonuYWozzyFWeKyYT+rhAaC2gzTcdhON7093L99cRcp2UyOdrgeb99Tuy6Eu7drWWsdYikUhgdnb2\nBNDsZmi3x4ka2E1uAXHz+wULvgGgt7dXQB/t+3K5jEqlIq5aneek8QOZkMJAbUNTa2ZmBtVqVRLz\nCHqZgk5TiCYKBZWlrUxDJzAdHx8X5qXgkBn5PmQYMqAWGO0u5arPtj0023SEnViAae9kWgBtO0DR\nnKSGYqCRzgRij3g8Lu/CH0bsqbk0U1Or6Hyt9evXA/AuW+0U7db5YW4ccSpm1XkvGNZafPnLX8bs\n7KwEnHRCHyeKNjwZRXuz6IIk9mD9A3C8NJRCAECYRINp7c/njkoEuzoBkBut8HxqF9ZqaG1GTESi\nB0kHEPXWAnQD83sCkJb9zeb8zquDg4OSGkMcpiPzHC8+Q2sQmn58P6bSk/Sqzmxl4gkC/Xq9jj/7\nsz9rS1jkOHt5oLwEwU1eFYJLmVLnpWDwi3N1vuWWW2RF1LXVtHdpZtFnTzNF+9QJcnWdhHbRsiaa\nQseILxmDGog1GlyBuYIDxxs0d3V1STmrrqdgCgtjDMyP4n3o1nUHDXVUXgNta+f7ytJco2t5dnZW\ntAkj6WR0Cig9UroMliYRx4AmHN+P7wi0d2PnGOpFShdIdQjMAThemcff+hryAI/r30vReSkYHDhj\nDLZt2ybmE6PE2mOUzWYljymRSCCfz0s6BT0zZFzdkDkSicgOSNQw9CYx05SrHhmlWq22vYd2gxJz\nsFMHV2l6uJiizskmc1KAaa7wu5HZaNowI5crPxmejMNFA0Db5pnc8JIayHEccTkTOzCgqL1xmmE5\n5jqwR9OJ7lqe22g08Ju/+ZttuEMHEUlaQLy0h/7xcvMuZVqdl4JBchwHd955Z1uKQldXF/x+v3ib\nyMy0rwGIBmHQLZVKyQSRWWZnZ9tWpEajIXY7g3TawxWPxwFAzDBjjER6aYLoXK1EItEWuWX5LL1P\n3LRFB9IYLCSeIo5hwI3HWH1nFqL0vJaxFt0lhHiCphe1D4Wf40otxLFiPhmFgIsEBUJ/V22W+v1+\nHDp0SASKv93mklsgdGRbO1A0LSfOIZ+fz14pBubS6bQE9vQAsmSVrkpOEjGBO1+K5zDQxZWaZg8F\njC5TJvp1dXUBAGZnZ9si6GQgesoYtyBzO858pq3OU9LmEuMjxhgkk0lks1lxJfO78LsRCzEFRrug\ntbYgjmCaOfGO1jJcIAiouaBoLKOzezneTP84ePCgjJ/+rnQpA2i7TnumFgPS2uzy8mLp83jsgvRK\n9ff3CxPT56/BMnDchODnTNrTKSMUIq58nEDa2Ol0WvaG0F4XYN5MKhQKkhDIegwKIJ8LQARJVwyS\nyXTaBU26fD4vrlluTkMwz+IiZuAyWMn9wBkx52csnqLLuVqtinak5mEUvdU63muKY6dxGQD5HtrL\n5zgODhw4IAsChVcnMTKSPjIy0mYKuYG3O47hJRBuIfISkk50XgoGB+UrX/mKrMilUqmtN1M+nxdB\nMcZIh8F8Pt+2TwWDWZwwmk7W2jZ/O3C8PxM1Ds0Un88nxTzcaowYhICUJh01B/OdGo2GZMpSOLUr\nlEzp8/kEIzETl4JEraE3jalUKpidnZX09lZrflsCdgohlmI8hsCc40ncpWMWwWBQApD8oSvZWotV\nq1YJ3vDCBY1GA9VqFeVyGR/84Afb5rQT+Ha7bt3nukH3csH3eWlK0S5NJpMCeGl3ak+TBoX8W7tc\n9T+u3q4AACAASURBVMbydL8yX4luUseZ79LBTd4J2pkAqLN3BwYGMDU1BWOMRM77+/uRy+Xa8q/o\nodHtbPQ76vQHrrY6nZ1BNzoIGKTk59VqFclkUoJ0ANqCjBR2viOb0VHbUbPptBViEppcTG/RJiCA\ntvR3mqgapwHzOOTBBx/EtddeS344YY75jm7c4T5fm1/6Nz+7IEwprWIfeuihtsIevXKGw2EBj9r0\n0C0za7VaW0M1rtbaLWqMacME2iSg7U0mjsViOHbsmNR/UwsdO3ZMzCN6dfjeXIF1x0Gms1Pj8Lk0\nm7hC5/N5qe9ggI7eMOIl7rtHE6inp0cSExOJhHidmCquQbjWjNREPB+AaC2OG8eJz9feK7q3GQw1\nxuDpp5+WeXUzv2Zyt6mkwTqP6WuXa06dV4Kh6Y//+I+FwbUfnm5FnYpA7UKb2dr5BDyu+rq+gjXi\nvLfefUinibO6j0zNiad5RQbr7u4WwWVjAwJQahDeizEInQelU9a1k4C4iNfrAJpmzvHxcRGoXC4n\nfzPzmF404iliFQ2+dfCSCwe/H+Mp/E5uRqVAabOv1WrhX//1Xz3n1Qs7aOpkZnndZzE670wpY4x4\nftzMH4/HxdTgBOiSTpov2pVKk0ADSJo09AzR/KGtzzElI9IMobaiUNFkisfjYsqQqXk/mkUMuLHW\nQ28yr+197fqkZuGqTMeATv/gKr9mzRqMj4+33UuXt+qqP2orv3++zy2bytFRwB6+XBRoglLoqHkp\nMIyb6OxhPovfZbH5dscmtMnkxjJuwexkSp1XgkGtcP/99+Pmm28WtyX99XRtkim4ujPxT6co0Pal\nkDGKy7RrTiqj4Sw+IiMyy5QRddr5vA+FSz+XzMffFGDgeOScgsAOIBRWDbgZ+daf8311IwfeixiG\nzeE4Jhw7VvmRabW3joLIfC8KEu+v3bma6bmYkFE5RjyP34OYh6SzlTnnncwmTfrd9XUXBMYA5hno\nt37rtxCPx2XirLVtDQeA4939yBw6ZcGY48X9bDlDzcKVnuYNq+4oSMweZTSYGICgP5FIiLaiqzaZ\nTAI4Xk/Be7NegwykI+S5XK4tpYQp78DxToBa0+kaCGosMl2r1UJXV5ckExJ7ETNxLNh0jfehdimX\ny7IwUBCZ1kGB5dzoYCs1BL8r/+dYUUhJvEb/r5MH3W52fR5/a2FcjM47wfD5fNi/f38bjjDGSFUb\nmVAHtlgbzWbONKeYN8XufBxw2sT08RMoB4NBFAqFNnOI2sWrAIoNyAh+KUTUcDTtdOYuGYPRdU42\nM4QZC2DT6UgkIrEZjglLW1utlpiCrFPRjgPej8JHU4galosFBYk1IxRoABKvAY4XS+ngpo5SM3uZ\n77V582bPVJBOjK1dstoNvFxh0HReCYbP58ODDz4oJg5XOk6MbjJGAMnViUJCJvP7/Zibm5P99Xg+\nV3Pa5pxMqupGoyFRYz3pPp8PhUJBsEQymWwrV6X5RaGkhiPDcOWnKad73XIl5wpLYadDgIl+HCNt\nvrRaLWzcuFGi1KVSCeVyWZIPKZzaNAsGgzK2HGcdzKMQcpz7+voAoM3dzP/5Q8cB/65UKti+ffsJ\nZhTg3XrTAzu0CZWXabUYnVeC4TgO7rjjDmFa2rPMW2LJpgZnjUZDfPpkZra5DAaDbUEtJvFx8qan\np6U0VpscXFnJmLFYTOIhbBND04PYgmkRbNlJ96k2EXhvLYiMtVAQuPe2/s0YRzwel0q8QqEAYD5+\ncfDgQTFhGJ1PpVJyHfEF3anUelrDUHiocTV+YZImv4uOIWlTinPAlqVXXXVVmzPDHbhzawINrjlH\ni3mwFuWlk77iHCXHcXDRRReJHU/7lzXPZFx3YY7jzO/3wOQ3Y4wE4ZiGzkEm8/KH0eZsNtsWsGKc\nhMEu4gJ2FqcHB0BbBi9NOQrL5ORkm7eHnjXGXph4SGZl3IICz5Wdz6BgWWulDamOorMuXUeg+c6x\nWEz62uqVn4uJzlzWWxLQvOQc0ANIrxYXLXrZqH2YmuJ2z7pjF25h8QrkaVrsszZ+Oh1mNMakjDFf\nM/Mb2r9ojPkpY0zGGPOQMWaXMeZBY0xKnf8JY8yehfPfdTrP9qJPf/rTYhOT+bm6kcE5cXpggsEg\nZmZmJKNV++dpMwcCAWFC2vl0o5IZabYxYdEd8KImASBBM52BypR31n7oKDhBOOMX+tnas6QxD/EL\ns3O1eabPp6OAAgKgTZgAtLUcpeDyO7hBMN28wWAQXV1dIuzatKFAUPNxzPS4TU1NneCC5d98lpvc\nwuH12XLodDXGZwF8x1q7CcAbAbwE4PcBfM9auxHAIwA+sfBSlwD4AIBNAH4GwOfNySKiRcjn8+H9\n73+/qH3avwAEGNKm5uAwAGatRSaTwfT0tIBrmiHZbFZcnAyw0f3Iv4k9aD5prwij0hQa7TUJBoMS\nA9CVb7w3vUyMcDNYCRz3YGnzpFarSW05MQMASRz0+XzyLmz0zF2emGDIrh16iwHtcqUWoUYggNYp\nMixxbTQaGBsbE3OLwqO/P4OvjHkwEdJai29961sneJQWeKntN+/Z6TO31nlVvVLGmCSA7dbaLy68\neMNaOwfgvQC+vHDalwH8r4W/fxbAVxfO2w9gD4ArT/X5JK7sDzzwgHhOAEhQKRAISC0EA2PpdFpW\nPZoETCrU17M4iBPfaDQEmJNarRYymYxs4sJYAld8AFLMw1WWK2+hUMDMzAyMmU8Zoeah+9ha2wa8\njTGSCKkdAVzpjTESiXccR7CTji/09PS0dSnp7u5u03R8B+ZCcYFotVrymWYy3p8mErMEyuUyent7\nRah0SxydysJ35Xfh2DcaDfzwhz9swyTAcezghTdIOodKm168j9vT5UWnozHWApgyxnzRGPO0Meaf\njDFRAP3W2mMLLzIOoG/h/FUADqnrxxaOnRZxcN/73vcK83GQyBDcn4GRaO3+pHuQ13AVpDuUNq/O\nzKVtTObnc2iDA/PuVF1roTNbeZzMTltfm15cTXVnE4L7aDQKAHKuzqUi89KU4v21ScUGDo1GQwSJ\nOIKtMq093kpI12N0dXW1/U/PHhcYakSfz4fp6WnRcNr8oTAxrkFNAaBNgGZmZuS7LkdbaBetdtO6\nMYqOjXSi0xEMP4ArAPw/1torABQxb0a5jbhXNbQeCARwww03SLEQvTEaNDPARntY5/ZwcshkLBnV\neUg6vkBgy4i4W7B43I0pdO4QTRG+E8/TTExswfiIbnzMLZLpKYrH40gkEuLV0YVJ2nWqzUF+fz6H\n2sbn80niYqvVEtOKGo3mnI7U63wp4Hhdu45naGbl/9ptzLnSOVWO45zQtJqfaQHQ5+sFzgtPuK/r\nRKcjGIcBHLLWPrXw/39gXlCOGWP6F152AMDEwudjAIbV9asXjp0WOY6Dd7/73Uin0wCOgz+aUmRs\nAJJuToajaZVKpWTVpReIHisGysigXN3dbkQyFyeZ8QzGGQjgtQuYQhOJRMTtqxmPzKMBPBmQDF4u\nlzE7OysxEabBAJDIOyPRPt98m07a/IODg7DWtjVx4wLDZ5Ex9Uo+NzcniYWMpdBEpIuXdSwcH/ec\nARDh0xFvnR3r9/uxbt26E8whCqLOC3M/x+vZ1HSvKsZYMJcOGWMuXjj0DgAvAvgWgF9cOPYhAN9c\n+PtbAG43xgSNMWsBbADw5Kk+n9RoNPA3f/M3SKfTWLVqFdLptAS4GM0lkCVYZTNiDji34dXNBGge\ncUWnd4srmu4s3tXV1ZYXpJMJ6QXjdYVCQcw0mh5kDKaXsG6cRUhsgcMVmy5oki5E0k4A2vZcKIiP\n6G2j6cdrGHHmezSbTcFNTFtvNBqSeQzMM+Xc3BwikQgASGBQtw3VZo1mZqaqUPPQXCTzWmvxp3/6\npydgAo6XTnGhxtX4g0KmHSFuzdWJ/It+ujT9XwC+YowJAHgZwC8B8AG41xjzvwEcwLwnCtbaHcaY\newHsAFAH8Bv2VCIvLqI/P51O48CBAwJkR0ZG8OKLL4r9SmbRnhmtvglG2V9Vt9gsFouIRqOy7wRX\nVoJhAJIhyzgBhYxlosQZ3EdCe5FKpRISiQRyuZy4b/P5vETHtRdN15QDx80QvkcikZCeTRRO3QCO\nUXBuhEOXL7Uex0ebczplnRiKgk7iOdQcxCkATjBvyMQUXmI2xkyoNb/zne/ghhtukGsBtC0obuZ2\ng3Aec78HNfJi9LrPrmV7l0gkgjvvvBOf+9znRBgqlQpGR0fF3Gg253snMaWck0kXJCeTk0am5QYt\nOoINQLYi094fml/uxgnseMhVSzcAMOZ4SjwZkuYaATSFjG5Ymog6kEdsRacCzTMyJNPE6aDQ9fDG\nzEeou7q6pGMINS0dB0yd5z01w1PoyOjabU6GJVMDxzN7/X5/W6+uT37yk/j617+OXbt2icnEMeA4\nLPAIgM4tOL3iGfoYz7Xnc9q5tknHx8cxMDAgASXapMFgEGvXrsX+/ftlEnitBo/ValWYg7UEjBLr\nQhoyLoVQu38ByKYyZC6+h9Y4LBmNx+OSEk/tpuuuuUIyNVznQDEGw1pv4gd6vTKZjNRHUFCttRge\nHsaBAwekDFUn91GjuevSKYwcByZR0mxlTGRkZEQSOXV0nP9TMOklSyQSuOeee/C+972vTZu7eVML\nGXC8EbYmd2q5dmq4tckFJRitVgv/9V//hVtuuUUmkCsNma6/vx8TExNtATeCb0aSySgE7u7EtWg0\nKsLDNA+aF3qDlpmZGYljcGMaMhNBLAVCu295PuscKFwEybyOxUt8N3byYGYsNSPHgmPU3d0tMQrG\nIbS5SYxFjczYAx0UzBvTbmeOA7WfdouSKbl4+P1+9Pb24i1veQu+8Y1vSIcVt2vVzeg8vhwA7SVg\nbqDeSTDOm1wp4Dgou/nmm/HhD38Yw8PDbas6B3hyclImmtpCt6SkpmF+kzYJeD6FhoxGdyYHXIN3\nvUUZgLbabF0NR/NK7/rKdv1kPp5L/z7NjFgsht7e3jangDYpCboBSLoFV23iHV7De/D7BQKBtkrF\nRCIh2yfohYdmGYXCa9XnM7/4xS/i6NGj+OY3vykCD7QzvTsLV5OX+1cfdz/TfY+lBOu80hgkugFD\noRC+853v4Prrr2+LEaRSKWmsbK2VlphMZuNkk0EZBSdW0JqIXh/GDShY9N9zdeR7stqPwTtGiikU\nzFHiiszVWudNsUyUQJVFSvQO0Y1L4eY92M0kmUyKd4yuYwqIDrbx/Rls1GWu1BRasIg1mN6iNQYx\nyZYtWzA5OYmjR4+KlteuaY1HOpFbY3gJYCceWS7GOK80Br8wGbder+Omm27CK6+80rY5e1dXV5tv\nvr+/H319fW1Va5x4DrgG6NqMYUCPx7RdS+Hy+eb7SjWbTQnO0dSiPa+Zi+BVp2Iw1qA1FBmLwFnb\n3BQk3sMYI+5rxmUY2WbshgLK7AD+r6sbmX9FgdSgmELE76NxXDAYxNe+9jXs2rVLhEJrCs3oWijc\nGsBLS2jSzK+vdZtjS9HrXjC8vA8kplyPjo7iuuuuk7b7l19+ufjBmSjYbDaxbdu2tsbJjA2wCo5e\nFPaqoiah/c/jfB/6+pmWzVY2xswXIrFrCFdsLVQUOrpuqc0ASEER35WR5mQyKYJKCoVC6O7ulnds\nNBrSsocmE13LfG9+J5bhEhcxa5nmJVd6nauVyWRE49B827JlC1atWtWW5EmBcs+dlxB44QTOEeBd\nuNTJE7Vcet0LxlLEgXnkkUdQLpdxxx134KKLLhI3IGufc7kcnn76aSSTSdx5550ymLTvaYaxsEkD\nczYxownHQiedys0VWTeA4zuw/sFaK3EIBu10AiMFgDijUCjISl0qlWTbLnqhWH7L9p0UOjZ0Zr0D\nwbnOeaJ3yh2AZO4ZI/hcKDheuqzX7/fjF3/xF7F3714A3pFp/V4cY83UZGj9m7EQ9z0X44GTpfNK\nMLxAGleTYrGISqWCL33pS201CfTts85hbGwM//iP/4ihoSH87d/+rbTO1L1uZ2dnBRPQ/KEQBQIB\nTE1NiV3OTFNdI870Eib86YAXo9NMHwHmJ58bYbL9DwWFjKvTWPhuuracsY90Oi0aksTzaVa5wTDr\nWVilx2xlppbzOzSbTdm/753vfCfi8TjuuuuutnoSN9Hk42daMLUAeM01XeBe885zSF6AfFFeej2D\nb61ivQah08C87W1vw9NPP902CYwdaPL5fFizZg0+9KEP4e///u+lHJXnJhIJFAqFthJQ4gauyMQt\njG4zss7Cp0wmg0aj0daehq5Lna3Kv3WBEkE4AHHRcpXXFYTUYsViEd3d3ZiamgJwfLuDYrEoMQgt\njEz/4LPpbdJ17qzOI85YvXq1pIUwMMjnZ7PZtvH1Mnf4W2cXeM11J771mnse7+DZOv/iGKcqGFu2\nbMGRI0ckJYKeJQbv9P2BeQHZtGkTHMfB/v37pW6BbWyoCcjstMO5mlIrkekJ4Gkq8W8G85jkyOPu\n7dCY9UoGpHeKkXl6ugjigeM7HgGQlp0cE2o+lpfS7RqJRNq8WO5yU5pOZH56vmieUSjdQTi3g8KN\nL6gFNO7R7+qeXy8TzUsIvHjivPVKLaYuO9HRo0dlN1IdwXYPHlfrRqOBF198ET/5yU/wu7/7uzDG\ntHUuZ1S3Xq8LAObqqpsHaC8JXbK8lvY9PUEsNyWDE9CymQHjF8zFYryCqeb0XukkPWbE8jziK5o5\n/E2gXiwWhdGJbYDjjZmpnWgG6og7tS+/tyYvz5I2h2j+ujNh3UCa8+PFC514xQvke577etcYgHdH\na37uVqFkEJ37D+CEmmS3GieOcBwHfX19iEaj2Lt3L4wxbUVNOobBOIhuHk0hoflFJmN6CAE2NREL\nohxnfnsxpo7otBR6uZhLxbgJI/g0hYaHhzE3Nyc2P3B8cx0KzdzcHLq6utoqEN1xFmpBmnj8znQj\nk1kpFDo9xx1LWGxuO53L76+1hxeGcAug17HzVmOQlhJwvVrTxuf/nEAKis7t0SnQnIxsNot8Po8N\nGzbAGCN+/mQyKe5YNj1j8I+mCHC8cwkBMs0uvgvT1PnO+h7d3d2CH7gy0xQkSOc7c/dV4pzDhw8j\nm81KEwN6hBj5Z/4Tu4/QDGLsgk0YgPYqRGoO3RJVA2eddQCcXFMCL+qEH07F+9SJzhvB6EReq412\nxf7/7Z1pjKVXmd//597a96qu7rJ7cXuscTMh7GZTCEqIh6UTNIn8gS3YxnKERUaZMIiEcRCCD4Bm\nQCEBlEQa5ADpGYLCZCPAJGNkYhFFxBDa2PTYdNMO7sXutapr7+qqum8+3Ps79/+eem/dW3UL09XU\nI5Wq6t53PedZ/89znkOmGObDUhSVNSM4fMcCJ6BMWlWiuTkHVwM0iSraUqm0ZrMXL+HgWsQaIYS4\nPznlLGhkT5TBtFI9iJak8fHxWM6Rru3GdfN6JX8HSvElaWxsLMYaLgxedpIqFVdM0toVdp4gLTre\nLYPXlBXNcUpuJYrikiK64QWjiNCSMGq6TqBooNGUTPjq6qouXLig/fv3x2MQEBAmLy3v7u6OMC8a\ndG5uLrffHe4RZRwE6t6bqqurK7eMlUlnd1Y2oydQZ4kt7hH9p1AE3n0dS+qtNlk0RSYc1Gp6ejoi\ncMPDw7nVdxCLtlgYlgbRrqS8dCYlnxPcWca7FWtR5GY3o3YXKv1KqZWXbOTPkpjy2ADN6i4AnwPt\nuv8MpIgweOyCdSF/wPEIH9AuwgRDulvEegpyKaurq5qcnIxIFouaCEJhYlYcUl4CyEB178rKSqzs\nRfsiIGh+SdFlI+uOtfLiyNnZ2ciYXnYBA1cq9d2e0sBZqlsO3LkiSq13qsAa8cF6kG0zIdn2FsNf\ntJnWgBggNLRPJD8MHC4MTMzn3gSBmAAG8+bEaGIW+gALU57S09Oj2dnZCKsCgXZ0dMRGBLgPxABS\nvQEaWp6+t0C7BOYIJEk9hKhSqURNTlBNrCDVK4BhHgQNBcE9qbLF4uKCOTLllsDHlrngd1EAnVqa\ndC5Ta9LK/LdCN4RgeOHaesf54FCK4Ti7WwSu5drYTTIZZVAi7k+yDgYlsCbHQW0SyTg2k0ezw8jz\n8/ORWfmM7Pfq6mrcH8P3B/eOHFiscrms8fHxyLwgVQMDA7n1IF6WwblAsowFguWLsiiMLJXqm3F6\n8zRJuabSCE+CDDWMA5rlJbhm+llKGw32t71gMFGNuj+46fZBBplJF+M7LJu6YSHUC+xYz8E+FWSE\ncaU4F5cDxIhEoBcL4kbxHJJiY2eYlhoomMUtjK+d4HhfJ8HfBw8ejBbRE3pAtVg3SvMdbOCd6f7h\nyoQNclAMZOMZg+np6RyTu3UpcoladY3883Se/P5F7nQzQdnWeQypvpilKBBbb4CxMu6/eoyRCgbX\nxVWilHxpaUmXLl2KAatU33fOyzrQxDClVIeFKeGQFLPYPGOayQ6hmvOYnp6OgoU1QHDn5+djMSLX\nQljGxsY0Ozuba+svKW5XnOZ3HGnCXWP14ejoaLRSCwsLucy8W1msIeNaNDc+d6mAFDG6f57OrZ+f\nol/pPbMbNY9RZG49I1rkw3omGa3aaOLcJ4cJfUUcvW3JQCM8rIjDHSGQ9YJDyj6wdh5I41aR+PNs\nMzkRhAyhYzER75RlWYSUeS52ZcXi8K7s582zuBUFmmUDSerDJicnNTc3l9t2gft6Rtyz30UwbCoU\nRYFxkfVulT/8d6t0QwlGq8dL+SQf7hEM5RoTZvbVcuwTgdaGmciA05GEmioXkLT5AF0GXbNxP+4/\nNDS0Bh0bGBiIlbjDw8NRYFnZJ9V79WJppOqyXiBh3CPAghBCLGrEymGBQPGwqmTDpSqT0ldKyiNO\nCGxR8OwC4Z+5giqi9WKRouM2Q9teMDZKrnWZGNra8H0arzBZLDhixRut69HyV69ejZ3F8b2Bbjs6\nOjQyMhKZlsQiayEI1mFUINrl5WVduXIlIlwsHvJdXlkfgcYGMSqVSjp//nxO4Eg0wowsuOJZgHSx\nGliHcrm+VwjXAqpmjLxlDuNCA+2UUsZ3y1EkFM3g1XaEoIi2dR4D2sigOFbPYLsLgD+eBm4koECj\npHqMADP6Ooksy+Labj7D52Z9NoEv8C84Pq6Ul5k44oVL4zVUBMRuiWjsnGVZrvGzI0coAqBar5vK\nsmpvXDLwHnRjdcjdgK5xTc+aezkIc5DGb66YGiFU6d9pha6jiu0Kyra0GCkKAbXiUqGRBgcHI+yI\nr482TwecoFaqJ6RguNnZ2fgdloF+T47fs1SV1YIcT7CK+5YiOjQ/gOmBiHGjgGC91b9bCN4DN4zn\n430pRweNQjiwAN5nFwEDdSOzznh5hTLWyTeEKQJFEBJHAz2DXmRFNhpfFJ3TjFe2pWCkAfdGTazX\nEUmKwW1qKaT6ft8wC91ChoerG0XB7JRNUMqRZdX1E11dXbHVJptQuhal6pZchG+mgqARy4QQcnv0\nSfUYCPeOpB35BRKCvAtbsbEAybdO5r64dpyDtapUqutA+MxjDGIWVyblcrWvll+nETEeDnYw9qmF\nWe8aaVkKlN57vRhG2qaC4VRkdp2KNIUv4GmkkfwzH3AYgkDXYw9JuZIJ1kksLCzEYkBcKzLf3syM\n+IGqXKleOu7FiDRhqFQqsSUnTRUQzptuuinn0nin9vn5eU1NTcVeuSgEaqiAZL2Uw0tZvCMIbtjy\n8rImJiYiesXnPobpfDHWWIx0ztz6NTrX5ys9pxG61Ypnse0FYzPkXc19wlxr4Sr44KM50c4gMb71\n1tDQUGQuCu/Q/FwbgQDtQStevHgxMhbZclwgj4HSPfm8kzl5FoTRE4oU9fE/cQRWjKB7aWlJV69e\n1fT0tFZXq/1+05gMISmXy9q9e7f6+vp0yy23RGuDwkjjiyJyJVTkDbRiLTZKN6QrBaWxxkZiDJja\nS5j9enyGpsSVgmHZyCXLqpWpNG/DVZmdnY05CPIGYPoIHgIQQn0/Oso8QHJgYs9TDA8Px2DYmRVQ\noFKpaGZmJro2xA1YLQJlR59wX3yrNSBoLz7kOMYPkGFxcVHHjx+Pz5P25SqKC10IHBhI3dn18hu8\nL8cVzXcrn6W0rQUjpaKBSyszJenlL3951KSOsTN5aEd3A/gf5u7u7o5lE9euXYtZ4+7ubk1OTsal\no1gH3CgEyQvsQggxICZPggXyuAEIdnp6OrbYAUJlDfjq6qomJibizlAQqBk5C4J+hJ3cCM/gC55w\n7xgnXyG4uLgYS9ufe+65nEVxa5jOUarQfA68NMaJz4pcpfWO3wxte8Eo8jlTSgdoeHg4JtuAUB2F\nginTgjeQIXx5+r9K1bzE7t27Y+tPTyB6mQdbcFEESEk3DRW8QA8XCeaDyXDNPMlHj6mlpSVNTU1F\nCNoD2b6+Pr3+9a+Pzedw9aiupWIXgULQsW7008KdxNLhnnV2dup1r3vdGgFiDtJ58HFfz/KnAuDx\nhF+nFXL3bD3aVnmMIrjPLYJXiK5HZ8+ejUE0GtPv4b2OPPbgb4J3X9JJ0zX3vbu7uzU1NRUTfqxd\noOiO57148WJkerYgwH2j2ziCxv3Hxsb0/PPP51b84bp0dlZ3qj106JB++tOfqqenR1euXNHk5KQe\nffTRmOADsh0fH9fc3FyugYMnEHGnKIX3Kl6sDTketkzwWKqRJWe8sTKp5fAxb8W1Wk+g+N/5ZT0+\nactihBB+P4Tw0xDCEyGEPw3VbcRGQwh/EUL4WQjhf4QQhu34B0MIJ0IIT4UQ3tLOve2ahZ+lsYKv\ntXjyySdjpasjThyLz51lWURzvBN5Z2en7rzzTkl1lMtLRagwhaF97zwgUr8n6y6oveL+KeoCk169\nelUXLlyI3yM0krR//36trq7q1KlT+slPfhLvTxBN3ENZ+7Vr13ThQnWbRFxER8DIj/BebA4DkYvB\njXv00UdjPMQYevxWFMu5u+WKyMeM42DudJ7TuS+yRhtxrdrZ53uvpH8k6VVZlr1MVevzblV3NBW5\nygAAIABJREFUbv1ulmUvkvSIpAdrx79Y1W3H/oqkw5L+ddgCqKGRb5nGDbgUIQSNjIzEifSybATI\nE15kgtMk1k033ZTrbE72F5dJ0pr2PAMDAzHI9vJ1koTEC6zb8JWAnj2nUtbXafCOWDLWgSwtLcWS\nF6qAPefAuw0NDcUtB7in9+LlHR20QNjYk4+4ysGKdE5cIKS18Kozsru0/M9xCFBR/FL03Uap3Rij\nLKk/hNAhqVfVXVj/rqob36v2++/V/v4dSV/Psmwly7JfSDoh6bUbuVkRJr1R2fK2mL6OA8ZnQD25\nhODwGeUWxCdc09dE+J51JOS8HQ2+Pc3N8PFZRNTb2xu3HKCuCv+f++BmLS4uateuXero6NDU1FTs\n3IEmlxQFkcDfm8t1dnbq4sWLuYpYtD6bU6IwyHVkWRaXtrpb09PTo7vvvlsDAwPRJSyiIpemmatU\nZB1SSj2FzVI7u7Y+J+mfSzqlqkBMZ1n2XUkTWXVHV2VZdk7Sntop+ySdtkucrX32gtLLXvayyBy+\nKQyEFpXWblyC1ibYHRwcjMgMKwJZO01AWi6XI5zJ5yGEmBz0dSEwFp8jQGhfdlSFMT2WOX36dAzs\ncTkQYAQhdVcQDLQ8a9fJvXh5ils4j08YSyzK8vKyTpw4sSZWSMndwDR+8OpmPvM4b73rbkZZFlE7\nrtSIqtbhoKS9qlqOvy+t2fD+BVsJVTQgaYKJvkzeatLLK5gEXAUv2WYCy+Wyvve970WtSu1VpVKJ\ntU2cR1VquVyOG6pgeQjAqdXypCDfeYMF1kzg99O/ljIU4hTcD4dYyZegCBBI3C62CJOk0dFRVSqV\nKOQE2Q414/JRN4UrFULQ97///TXuD5S6V2kclZblFAXUzaiRpXDF0MyatONK/bakZ7Ism8yybFXS\nf5b01ySdDyFMSFII4SZJF2rHn5V0wM7fX/ts07SeNkp9WTTTsWPHIvyJlnO3iT0nfNswR67QknNz\nc3EPvs7OzlhsNzQ0FGFWSbGBWalUipAs1yGg9eQhn1NygYuGcAAxw5Dlcjky5eXLl6NF8tyLa3oI\n5gDVkqTLly8rhBCbPi8sLMT8DKUlHR0dUfB9TUfaNOKNb3xjHFvG3+eDZyuaN8ao0Vw3KihsJkSp\nEK5H7QjGKUmvDyH01ILoO1Xdw/ubkt5XO+ZeSf+19vc3Jb0rVJGr35D0m5Ie28gN05dZTzOkfiva\nHaZzlMqPB170khFvysZzPPXUU5EBl5aWtGvXrlyGWao3D8CNgdGxEBQfSvUMt3cEBBb1hs9c34sP\nsyyLdUreiIBYA8ELIcQciyNHjAGLqFhrgvtESQiZeZQKLh3BPWhcT0+PTp06Fd+XcUznKA28fR15\ns7lP599RvvVQqFbdrHZijMck/Zmko5J+IilI+mNJfyTpzSGEn6kqLH9YO/4vJf0HVYXnO5L+YbbB\n6KgZTr2eoKysrOilL32pTp8+HTW1IxhUqaJFcUvA9L1WaWVlRW9+85vj9yGEWAHLFmGgN2S/WQlH\nxz8PYnkeGHFpaWlN5w/WfZO1RuNSlvLcc8/lxoAAmviAz9l6zLukwIhYw4WFBQ0PD0crSYmKN4db\nXa3vtITlgLGvXbum48ePa3V1NWbtfc6c0iSqI3+t8AF/OzTcTtAdn3MrLrLVFNZphpAGaj6oKZLh\nf3d0dOhtb3ubfvCDH2hmZiaafqluFSi5cMTJkRupqpnGx8fV19enX/ziF/G5cHMIdvntE4cgLC0t\n5fajYH03m0cSL4AiSYqMSQWupDU9Y9OiR47hf8aD2MnhUN6bZKG/89WrVzU6OqqpqalcAzau3dPT\nE7PmxEWlUkkHDhzQ5cuXNTU1lctNuDXnmXgO1/pFRZzp3ylvpJBuyhtONSHa/s0QmkFw69XYVyoV\nPfXUU7n6Ifez0VK4FGlyCqYnuJ6cnIzfe6kIaA/uCzEH0Ozq6mpcJIUA4V5Jik3Z6E0lKeYs+vv7\nYwkIAlEqlTQxMSFJscDRcw+Uj+A+cR8pX7LB6sAQqnkehM333wAtGhkZie+Me4XldWDhFa94Rew5\nlY458+nz6vEg/zcCVIp4oei66fetGoJtZTGKcO1WLAaM51lochhoKybdj0E7hlAv4wgh6NChQzp3\n7lwMvnGHfPfTkZERTU9PRwQMX5/lppRM8NzkK9g2wBN4xA7ul9N8DQEhZ+DWQKrHOV6Y51YDl8z9\nfQSWXAuCRfUtz8fzz8/P54Jw7uVKpYgYe7cOjeYydbeKhKIVbyI954awGO3Q8vKydu3aFTt5OEqD\nlYBBYRwvffAJAkolY+wl1nQSJ7Du7u6OzZthAIQOZsRHh8ndkngM4L2nWD6bZdUet86I/vweY7ib\ngvD45i8ICs/Ded4R/eabb47jQKEjloNzpXoBoucfUkCE93OXySsU0rKY1CJsNJ7YyPHbSjA2Y91g\nqqGhochArh3RhK4FvVaI38QkwKkIB1YC3B8rwb3m5+djgOpuDYgRHToI6lkz4bERkKoX5LHEds+e\nPZHpuT5My/mUdrg2R2g8V4FyQPBWVlY0MjIiSVHwn3/++WhFWak3Ojoa31FSdBOXl5d1+PDhiKDx\n7Fg/T+Q5AOBC0WzOG7lN6TEpYtWUb1o6ahsTAzs2NparTuU7Z3xcJ0ef0GBoeiaZ/IAzPV09aDlD\nO5m+vr4ogKBC1CXRRZz7UmLBfXCFYDpJ0Yf3Gi6ek2vxfmh6GI7vgK6lOpTqQuVtdryuigrblZWV\nuB305OSkQghx+zbPvp88eTIXy/gzNFohiXvH534u79VIYIqYf1MKdcNnbDNiUA4dOqTLly+vMdtp\nkIdm5DviEKc9e/bENd/uQ4NMkZvo6OjQ6OhorkUO7hS4PxAt/ag8j4DAVSqVXKGgr4k4c+ZMfAcC\nZSydAwvuPvEdwoTVYEyIP7CiKBSsJG4iOQ4YmaW03sP3xIkTUUEwH0DjjJlUb49aBMGnguDoVdF8\nFwlC6sY1o20lGEUDkWZBU5OJdmdVmjMMyT6EAAaCOWEqjiVTPjMzE0vF0Y5oZJiHZNfk5GSsmsUa\n4L+7JaHZWbq4CJdnfn4+xgPsuY3bxRi4kCMc5GCwOt5sDSHwvb2Jf1w5eJDM+LEZzsrKSixnx7qQ\n71hYWFC5XNarX/3q3POljF80bx5fcO+UB36ZwNG2EYxWfcNUwzC5MCxQIMzrtf4wACXpkPvrPT09\nOn78eESulpeXo1Ug60viCwY9f/583G4YF40EG4uDCFbJXVA3hXZF8ChgXFpa0vj4eGRoND/Micam\nVgtgwRtXIxzepA0LxdpzxhIlgsIAupYU4xGeg9orxvk1r3nNGo3fTLPzbHzWSCmuJxyt8kzhub9M\nqdssFcG1ruX8syJK0YvOzk6Nj4/HBsxoRtf2uEWOBDEh+Mj9/f0aGxtTT0+Pjh07FnMU7IftSBLB\ntWeH5+bm1NfXF3MRuB5YJVp8Agt7sI7Q0T8WBsYnR7j9Pbw/FYF+mm/xwkkY1iFUaqPYHId3YyUf\nFb5YWrZZluqtf+hm2GCu4z1dEIrmPoVuU4FpJECNzrlh4Nr1Xnw9WllZiW6MQ4uSogZHE8Isjppw\nDDDqyZMnIyrEMQgXi3W8OzmWhqDZCxRxg0DGcJdw3ch/AOPiy5PH4FzcGgQOa5ZlWQyS0fp8jmUh\nZklzH1gjmlPzPjA67wKM7EF/lmUxWcnnKTHOPhe4vvxd5EK5dXfe8OOKLNJGjMC2E4wibdIqgT55\nmYQzgKMpfi8v8R4dHV1jvVjvzd+skeD7paWlWH2LZnQUiarboaGh2N/JVwI6xIrmp0Tc65Q4jkJE\ngAECf38/hB3y3ZAQAmc8Am7quljERJUA48Q+31hBxvB973vfmjnDRfWxdnDEyV1bdwOdfD79Pk7N\n3K94XNMjriNqJgRFL0zZBJ36gFmltd3xGHwPuNPiQkqyESY2jOns7NTw8HAuYUVcwJ4UMJwXMPJd\nZ2dnXO+NsKDRFxYWYj7EN2Mhy+7XdK3L+6PpcXdYGejuC50Ui9Z9YxXY3oDEHrVexCgIDfuYewB9\n5cqVHPDhFtMDbj9vPVi2GaVBPp/5M617/naKMaQ886/ne/I9MYRPRlZLZnGM+9Z+D5hiYWFBAwMD\nGh0d1eXLl6Ob48gPHTW8rB2NTUkILo8zJfAw/Z7w2Umy8T6Ui8DodCCHUXfv3q2Ojo7Ycwqm9ngk\n1cr8T7ae1YaSYuIyvQ4lM8DLwLhYJo6TlEvkEaOQRUcIXIPjQqZdW1JqFC+kc9/o+xsuxmhGjQbx\nwIEDGhsbi/4yGWSpeJ2AQ4juX/f392v//v1RO4PZ477AYPjvxCAEpPjyuC2UkxA/pC37uTbrLmBC\nLIwz65UrV3Tp0qU1eQ5cNmIkhBb3ChRuZmZGly9fjnVcjAMFgyMjI3ENBs916dKlXB0U8Q3xDi4m\nC6Huu+++QgDF8xIOJqTzmcYbKdM344cbNsYoolZedt++fXF3VVwUR0McrsVN8RIOmAjNODIyEl2k\n6enpWH/V0dERV+vhkngOAU05PT2tlZXqZpMgW+Pj49GtAlbFyhDcEgOMjY1Fa+b+faVSWbOWnDEC\nVHC4GvLxkBS1epZV++murq7GZbkueCGE6OL5QiqsJDETY/rtb387l3dxocBypisNi4Jvfy+peefy\nzdC2FwynRsEWrW5Y550unXTMn3N8w8eOjg7NzMzElWnLy8saHh6OVaWcgw8O8kWZuaToPmEROGdh\nYUH9/f26dOmSZmdnJdVdHa8l6u3t1cjIiK5duxY1dbqM1V0FwADcIN4TS+cVuN48jmsgaF6STy8u\nBypA42DOwcHBWH5DHNTR0aG9e/fmqon57S5VA1cnd04RuZu4HhVZoUZ0QwlGETyHFpUUe6wy8RAa\nPmVitC4uC9ZjcnJSBw4c0K5du+LuqHTgI67AjSE7DQOwZ0a5XI7BOp3JsRge77BRTJZl8TjyINRS\n+RJVqW4BHBkjXqAMHivmuQyHp7GiCB/xDaUgvKsvuyU+mp2d1erqamzls3fvXs3OzurkyZN65Stf\nqYGBgXgP7slzpoLuc9QIbdoIw7fqTt1QgtGIWL/sqIiXPTARHhS6QHE815Ckxx9/XIuLi7p69arG\nx8fj1mH4/yS3cIn6+/tj8g6NPTk5qeHh4dhHlnIKBAOtPzAwkFtP7XkYhAPkieAeq+HQJp8h+Ol6\nj5TBYFyEZ2ZmJu7S6uAFLYRYSEU809PTo4GBAZ0/fz7C2E888YS++MUvxrlIYzyPb5yJX2iQaNsI\nRiPorhUIF83vmVtnghTaQwPyg3Zl91QvM7l69ar27t2r3bt351rY4EqVSqXYgdBRKZJ2JN/IZQCV\nkiWHCdHS3gzafX2EF60NcR4/PJ+7S1wHVI1lta7FvTMJz4GlGRoaimUnAAgE/LfeemsEDRiz+++/\nX4cPH86NfTofzEMjkKRVntksbRvB2CyVStWdS6ntQfOnkK7HE1I9T0HMQGzimVm05uOPP67z589r\nbGwsV7Lhax2mp6djv1hHXRwEWFpaioWE+/fvz7lfML+34iGg96SYv4u7Qh4c894uQG5ZvPkDx0rK\nJQ55x5GRkVgsCAo3OjqqwcFBjY+P68knn1zTT6tSqeiRRx7JLbllzFMr4e+yHq2HQHnc8msZYxRR\nlmU6d+5c7AdLcso1VaOB8+/o0gca5cKCwFy4cCF2xfDGzRzT29sbz5UUhcS1Idd9/vnnValUYjGh\nuzO8l2+BDBO5ReM38K9bSlw8TwaSMMQaOHORnwFq9j3NJUU4ua+vT/39/Zqfn4+NpxlHhJQ80oc+\n9KGogIqsd7PA24P0oix4K9doRNteMFrxQ2kx4xOemm+PNyqVStxnGxelp6cnbh+An57CjSsrK7p0\n6ZIWFxe1d+/e2PLGa5hIjkn1QNzLVGBSAmS2I+N4X1zkLg+MjyZ3hM1zA7yfWxtJESCgzMPjD0kN\n45j+/n6Nj4/rtttuk1SFjc+ePRsZ1aFfxgmk6wtf+II++tGP5vpPOfDgQuXIU5E1SN1hP78Rv6xH\n2ybz3eC43P9uAfyY22+/XWfPno3NCNhqy7Ow7tIQRPP3wMCAdu/erZ///Ocxwz0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AAAAH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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(sobel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now blur this image a bit to make the edges thicker:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IhReEyva38tuamUR6XFNivMagmWbX53vRcuS7BS2mxvU6e8D0nOM4JpGPdV/p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\nKeZc9RgBXifhk1iZGUxJSQJraWnB+Pg4du3alTKq7RrY/62aF1vbegx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "blurred = filters.gaussian(sobel, sigma=2.0)\n", "plt.imshow(blurred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Obtaining seeds for the watershed transform " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To perform a watershed transform on this image, we need to assign classes to the fore and background. There's two ways that I know of to do this:\n", "\n", "- use dark and light zone properties of the image ([example](http://scikit-image.org/docs/dev/user_guide/tutorial_segmentation.html))\n", "- use local peaks from the distance transformed image ([example](https://github.com/scikit-image/skimage-tutorials/blob/master/lessons/4_segmentation.ipynb))\n", "\n", "Both methods are valid. In this case, let's use the simplest one of the two: dark and light zones." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "light_spots = np.array((img > 245).nonzero()).T" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1432, 2)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "light_spots.shape" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YFaxe1XNRx0qlEp/97IU4nR/GvpA4nR/mb//2WI477jg6OjoMcNHn89HY2Eih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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(light_spots[:, 1], light_spots[:, 0], 'o')\n", "plt.imshow(img)\n", "plt.title('light spots in image')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do the same for the dark spots in the image:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dark_spots = np.array((img < 3).nonzero()).T" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1402, 2)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dark_spots.shape" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qJRFuqVEl0iyVSjE7O0swGGR0dJRiscjg4CAAq1evJhg84gJuNZhPxJ+dWm2Q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FOvq6EJoJ3V1Q/h3OUUiz4vodfbfL91B8TkySAe4m6IfU7ujSyfpWStI5vNUi7P8thjlwN/BbQT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\nYJyls5RCZwXjLJ2lFPp/nWmXuRy16/MAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dark_spots[:, 1], dark_spots[:, 0], 'o')\n", "plt.imshow(img)\n", "plt.title('dark spots in image')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Making a seed mask" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the previous points, we can use the labelling function from `scipy.ndimage` to make a seed mask:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "672" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy import ndimage as ndi\n", "bool_mask = np.zeros(img.shape, dtype=np.bool)\n", "bool_mask[tuple(light_spots.T)] = True\n", "bool_mask[tuple(dark_spots.T)] = True\n", "seed_mask, num_seeds = ndi.label(bool_mask)\n", "num_seeds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have 672 labels in our seed mask. Let's now perform the watershed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Applying the watershed " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage import morphology\n", "ws = morphology.watershed(blurred, seed_mask)\n", "plt.imshow(ws)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks pretty nice. However, we have several classes here. Ideally, we want to remove the background, which would be the class with the most pixels in the image. Let's do that." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "656" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "background = max(set(ws.ravel()), key=lambda g: np.sum(ws == g))\n", "background" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a mask that removes that class:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "background_mask = (ws == background)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's look at the result:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(~background_mask)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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n8E9yuZyoqwiFQshkMqivrxeJPpvNBpvNJvyHnp4e9PX1IRKJoKmpCRMTE8I8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\n327FSClGFpKeBmfOnKFUKrFt2zbbcmjuqGq1ShAEdtUlVZJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cleaned = img * ~background_mask\n", "plt.imshow(cleaned)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is this good or not? Let's apply a red color to the background to check:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IcrkcGhsbRaLPbrfDbrcL/6Gnpwf9/f2IxWJobm7G5OSkMM/0tHujh1Je2Y3u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\n3DYdudoEoAfA8wt4/7IcKaNwLZHburu7S74sh8M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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(cleaned, cmap='gray')\n", "plt.imshow(background_mask.reshape(background_mask.shape + (1,)) * np.array([1, 0, 0, 1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not exactly what we were looking for! Can we do better? What about selecting another group for the background mask?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Picking another group " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Actually, now that we have the previous code, we can do a loop over the different groups for background candidates. First, let's reuse our previous processing steps as a function:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def draw_group_as_background(ax, group, watershed_result, original_image):\n", " \"Draws a group from the watershed result as red background.\"\n", " background_mask = (watershed_result == group)\n", " cleaned = original_image * ~background_mask\n", " ax.imshow(cleaned, cmap='gray')\n", " ax.imshow(background_mask.reshape(background_mask.shape + (1,)) * np.array([1, 0, 0, 1]))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "background_candidates = sorted(set(ws.ravel()), key=lambda g: np.sum(ws == g), reverse=True)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sW7FqFi35cVureOwVUPbYPMBzzz13Rmn+97znPXR1deF2u82QNQmPiJclf+Fw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\nwsSFPoaL1ut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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 3\n", "fig, axes = plt.subplots(N, N, figsize=(6, 8))\n", "for i in range(N*N):\n", " draw_group_as_background(axes.ravel()[i], background_candidates[i], ws, img)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mmmh, that's not exactly what we expected: the background is split in two images. Can we do better? One way I can think of is using better seeds for the back and foreground. Let's try this!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Manually inputting seeds " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that I think of it, there's actually only two seeds that we need: one for the background, one for the foreground. Let's select these two manually." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "seed_mask = np.zeros(img.shape, dtype=np.int)\n", "seed_mask[0, 0] = 1 # background\n", "seed_mask[600, 400] = 2 # foreground" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's perform the watershed again." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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d9L7xMckpKRg7gcskrZR0LrCB6iHRC9XowdOZ8r4J7IuIB5uWKekX5u6WSDoP+A1gf93y\nIuK+iLgkIj5BtZ92RMTnge/W/cySFqcWEkkfpurH72mwjceAQ5IuT5NuAPbWLW/Eb1NVBows16S8\nvIVejHTxQ1WLvko1EtOmMZZ7nOouxX8DbwF3AkuB7am8bcBHR+bfTHWXYj+wLlPedcD7VHfGdgEv\np237+TplAr+UytgNvAL8YZpeq7x5Zf8aH1x81y6P6ppg7vPumdv/Dcv8FFWFtxv4a6q7Uk3KWwz8\niGp0Ltrah7kf/0mIWUZJXSmzYjgYZhkOhlmGg2GW4WCYZTgYZhkOhlmGg2GW8X+hwsmaOp68YgAA\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws = morphology.watershed(blurred, seed_mask)\n", "plt.imshow(ws)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's better!" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6RlhZdFutVgSDwVW1XakfMZbZms2mbEAlO5aH2O/3C1aRzWbxnve8pwujoF4U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\nYUkfqGeuXifpBklPdvH5OyqkKlGK+fl5Yw7PZDI2a4L0a39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WRbr+uuu2/sa1KVdUjBDC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\nUYxEEmkhiWIkkkgLSRQjkURayP8DYV19a4Se3yEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "draw_group_as_background(ax, 1, ws, img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, we're still missing an arm. How can we recover it? Let's try and just add an extra seed to the arm!" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "seed_mask = np.zeros(img.shape, dtype=np.int)\n", "seed_mask[0, 0] = 1 # background\n", "seed_mask[600, 400] = 2 # foreground\n", "seed_mask[1000, 150] = 2 # left arm" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws = morphology.watershed(blurred, seed_mask)\n", "plt.imshow(ws)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time to compare the original image and our result!" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JXFsAPAFK5K5T/w+ipEmSVLcwqMUr/U/7olbEfX192Lx5M9asWYNYLAbTNHHJJZdw46hX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cAAAg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\n0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2)\n", "ax[0].imshow(img)\n", "draw_group_as_background(ax[1], 1, ws, img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have obtained almost the same contour as the one shown in the source on stackoverflow, with minimal effort." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook has showcased that it is relatively easy to design background removal algorithms using scikit-image. The approach we have used here is quite robust except for the fact that we manually specified which points we wanted to keep in the final image. Even though we haven't investigated this, it could be that the other approach (seeds taken from distance map after segmenting the edge image) is more efficient. In any case, it was quite fun to do this little study." ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }