{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "<< back to chapter content

Last updated: 29/01/2018

\n", " show/hide source code\n", " " ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import sys\n", "sys.path.insert(0,'..')\n", "from IPython.display import HTML,Image,SVG,YouTubeVideo\n", "from helpers import header,compare\n", "\n", "HTML(header())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Morphomathematical operators\n", "\n", "## Definitions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Image\n", "The image $X$ is defined as a the set of pixels, connect or not, equal to $1$ (or True), the backgound being set to $0$ (or False)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAANUAAAD7CAYAAAD95tHFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "X = np.asarray([[0,0,0,0,0,0,0,0,0],\n", " [0,0,0,0,0,0,0,0,0],\n", " [0,0,0,0,0,0,0,0,0],\n", " [0,0,0,0,0,0,0,0,0],\n", " [0,0,0,1,1,1,0,0,0],\n", " [0,0,1,1,1,0,0,0,0],\n", " [0,0,1,1,1,1,0,0,0],\n", " [0,0,1,1,1,0,0,0,0],\n", " [0,0,0,1,0,0,0,0,0],\n", " [0,0,0,0,0,0,0,0,0],\n", " [0,0,0,0,0,0,0,0,0]])\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Structuring element" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "similarily one define a structuring element $B$ as a set of pixels (connected or not) having one origin $o$. Example of a 3x3 centered structuring element:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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W5ITuXwWSnAj8GfCDRdRYyP7uAK7pamwEDr95mrUE89YbPp9NsoHBW/stP4Bh/OvV59zm\nrbcMcwP4PPBUVX1mzPq+53jUen3OMcm73nxXMsk7gMuB/XOGLW5+fV3xXeJV4isYnHu9yuBu1ge6\n508D7hsat4XBVesDwE0N9U4Gvt1t60HgD+bWA97L4B2OPQw+6mDR9UbtL3Ad8DdDY+5g8K7K9xnz\nzlRf9YC/ZRCEe4D/Bi5pqPVl4KfAb4AfA9cu89yOWq/PuXXbuwx4fehnYHf397ssc1xIvZ5fvz/q\nauwFnmBwWaHp59ObzSQ1mabTGUkzyBCR1MQQkdTEEJHUxBCR1MQQkdTEEJHUxBCR1OT/Ab7r4Twq\nNmTEAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B = np.ones((3,3))\n", "plt.imshow(B,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.plot(1,1,'or')\n", "plt.gca().set_xlim(-1,3)\n", "plt.gca().set_ylim(-1,3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic operations\n", "### Image complement\n", "Image complement consist in seting True pixels to false an False pixels to True, Image and background are switched.\n", "\n", "$$X^c = \\{x: x \\notin X\\}$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAANUAAAD7CAYAAAD95tHFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Xc = 1-X\n", "plt.imshow(Xc,interpolation='nearest',cmap=plt.cm.gray);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Symmetry\n", "\n", "$\\hat X$ is the reflection of $X$ through the origin" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAANUAAAD7CAYAAAD95tHFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Xs = X[:,-1::-1][-1::-1,:]\n", "plt.imshow(Xs,interpolation='nearest',cmap=plt.cm.gray);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Translation\n", "The $B_x$ structuring undergoes a 2D translation in the pixel $x = (3,5)$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Bx = np.zeros((10,10))\n", "x = (3,5)\n", "Bx[x[1]-1:x[1]+2,x[0]-1:x[0]+2] = B\n", "plt.plot(3,5,'or')\n", "plt.imshow(Bx,interpolation='nearest',cmap=plt.cm.gray);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Difference\n", "$$A-B = \\{x: x \\in A, x \\notin B\\} = A \\cap B^c$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dilation\n", "Dilation is defined such as:\n", "$$X \\oplus B = \\{x : \\hat B_x \\cap X \\ne \\phi \\}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Erosion\n", "Erosion is defined such as:\n", "$$X \\ominus B = \\{x : B_x \\subseteq X \\}$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.morphology import disk,erosion,dilation,square\n", "B = square(3)\n", "X_dil = dilation(X,selem=B)\n", "X_ero = erosion(X,selem=B)\n", "\n", "plt.figure(figsize=[10,5])\n", "plt.subplot(1,3,1)\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('$X$')\n", "plt.subplot(1,3,2)\n", "plt.imshow(X_dil,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('dilation of $X$ by $B$')\n", "plt.subplot(1,3,3)\n", "plt.imshow(X_ero,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('erosion of $X$ by $B$')\n", "plt.figure(figsize=[6,6])\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray,alpha=.3)\n", "plt.imshow(X_ero,interpolation='nearest',cmap=plt.cm.gray,alpha=.3)\n", "plt.imshow(X_dil,interpolation='nearest',cmap=plt.cm.gray,alpha=.3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Duality\n", "\n", "There is a duality between erosion and dilation\n", "\n", "$$(X \\ominus B )^c = X^c \\oplus \\hat B$$\n", "$$(X \\oplus B)^c = X^c \\ominus \\hat B$$\n", "\n", "In other words, dilating $X$ is the same as eroding $X^c$ by the symetrical structuring element\n", "\n", "demonstration for $(X \\ominus B )^c = X^c \\oplus \\hat B$:\n", "\n", "$$(X \\ominus B)^c = \\{x : B_x \\subseteq X \\}^c$$\n", "\n", "if $B_x$ is include in $X$:\n", "\n", "$$B_x \\cap X^c = \\phi$$\n", "\n", "so:\n", "\n", "$$(X \\ominus B)^c = \\{x : B_x \\cap X^c = \\phi \\}^c$$\n", "\n", "by using the complement:\n", "\n", "$$\\{x : B_x \\cap X^c = \\phi \\}^c = \\{x : B_x \\cap X^c \\neq \\phi \\}$$\n", "\n", "equality becomes:\n", "\n", "$$(X \\ominus B)^c = \\{x : B_x \\cap X^c \\neq \\phi \\} = X^c \\oplus \\hat B $$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Properties of the basic operations\n", "\n", "Dilation is:\n", "* commutative\n", "\n", "$$ X \\oplus B = B \\oplus X$$\n", "\n", "* associative\n", "\n", "$$X \\oplus (B \\oplus C) = (X\\oplus B) \\oplus C$$\n", "\n", "* translation invariant\n", "\n", "$$ X_h \\oplus B = (X \\oplus B)_h$$\n", "\n", "* increasing\n", "\n", "$$ A_1 \\subseteq A_2 \\implies A_1 \\oplus B \\subseteq A_2 \\oplus B$$\n", "$$ B_1 \\subseteq B_2 \\implies A \\oplus B_1 \\subseteq A \\oplus B_2$$\n", "\n", "Erosion is:\n", "\n", "* NOT commutative\n", "\n", "$$ X \\ominus B \\neq B \\ominus X$$\n", "\n", "* translation invariant\n", "\n", "$$ X_h \\ominus B = (X \\ominus B)_h$$\n", "\n", "* increasing\n", "\n", "$$ A_1 \\subseteq A_2 \\implies A_1 \\ominus B \\subseteq A_2 \\ominus B$$\n", "but (one erode less !)\n", "$$ B_1 \\subseteq B_2 \\implies A \\ominus B_1 \\supseteq A \\ominus B_2$$\n", "\n", "Dilation by the union of two structuring elements:\n", " \n", "$$X \\oplus (B \\cup C) = (X \\oplus B) \\cup (X \\oplus C) = (B \\cup C) \\oplus X$$ \n", " \n", "Erosion by the union of two structuring elements:\n", "\n", "$$ X \\ominus (B \\cup C) = (X \\ominus B) \\cap (X \\ominus C)$$\n", "\n", "$$(X \\ominus B) \\ominus C = X \\ominus (B \\oplus C) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Combined operations\n", "More complex operation can be achieved by combining two ore more basis operators, the simplest ones are the opening and the closing.\n", "\n", "\n", "### Opening\n", "Opening consist in applying in succession one erosion followed by one dilation, both using a same structuring element.\n", "\n", "$$ X \\circ B = (X \\ominus B) \\oplus B $$ \n", "\n", "Opening 'opens' small gaps existing in the shape.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Closing\n", "Opening consist in applying in succession one dilation followed by one erosion, both using a same structuring element.\n", "\n", "$$ X \\bullet B = (X \\oplus B) \\ominus B $$ \n", "\n", "Closing 'closes' the gaps present in the shape.\n", "\n", "Opening and closing are illustrated below with a 3x3 square structuring element $B$:\n", "\n", "Therse is an opening and closing duality:\n", "\n", "$$(X \\circ B)^c = X^c \\bullet B $$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B = square(3)\n", "X_dil = dilation(X,selem=B)\n", "X_ero = erosion(X,selem=B)\n", "\n", "X_open = dilation(X_ero,selem=B)\n", "X_close = erosion(X_dil,selem=B)\n", "\n", "plt.figure(figsize=[10,5])\n", "plt.subplot(1,3,1)\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('$X$')\n", "plt.subplot(1,3,2)\n", "plt.imshow(X_open,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('opening of $X$ by $B$')\n", "plt.subplot(1,3,3)\n", "plt.imshow(X_close,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('closing of $X$ by $B$')\n", "plt.figure(figsize=[6,6])\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray,alpha=.3)\n", "plt.imshow(X_open,interpolation='nearest',cmap=plt.cm.gray,alpha=.3)\n", "plt.imshow(X_close,interpolation='nearest',cmap=plt.cm.gray,alpha=.3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "some examples with a 3x3 structuring element $B$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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epvodthz/iBnmd/VcLMfXaC6m619DhaKFsKlIy9NSCUULYf9a/AxF87McX6O5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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "X = np.zeros((100, 150), dtype=bool)\n", "X[30, :] = 1\n", "X[:, 65] = 1\n", "X[35:45, 35:50] = 1\n", "X[40:50,100:110] = 1\n", "X[52:82,100:110] = 1\n", "X[50:52,105:106] = 1\n", "X[45:46,105:106] = 0\n", "X[70:72,104:106] = 0\n", "X[64:67,103:106] = 0\n", "\n", "B = square(3)\n", "X_dil = dilation(X,selem=B)\n", "X_ero = erosion(X,selem=B)\n", "\n", "X_open = dilation(X_ero,selem=B)\n", "X_close = erosion(X_dil,selem=B)\n", "\n", "plt.figure(figsize=[10,10])\n", "plt.subplot(3,2,1)\n", "plt.imshow(X,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('$X$')\n", "plt.subplot(3,2,3)\n", "plt.imshow(X_ero,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('erosion of $X$ by $B$')\n", "plt.subplot(3,2,4)\n", "plt.imshow(X_dil,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('dilation of $X$ by $B$')\n", "plt.subplot(3,2,5)\n", "plt.imshow(X_open,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('opening of $X$ by $B$')\n", "plt.subplot(3,2,6)\n", "plt.imshow(X_close,interpolation='nearest',cmap=plt.cm.gray)\n", "plt.title('closing of $X$ by $B$');\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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iYi73rrlGmm58Qo/CU9mntenGG296lQFVJ9v0tcoAyy01yG7tLCmdQh9ikYmm\nau6wXOlmGlvj34vg9AnBVBCcRVrb40Ifa22vdLmmmlihjlPZDqrd2vrYhVbrU+VC1/He10ie4eab\n4ooo85Aq35XeLv1HvWTNUnOHDbSsRsHUQEt1sq00U9DDPCPqZW1IS/v1stZUE60rXQhf3ibdokzG\nicoyAgMtNdNYiww9Yz60Jph6ysbHRZId1txBmRXWItVE2ftQHSkKFEsyxiwx8aj33sn0sE5va3zq\nvBpXnz9xWrmR477rZ2LiCWvosuw3wjwFUm3W1Vq9XVCa4amNT1yoWJJlBtYqU7lXm5MGVE0c08o+\nudINtEyqhRYYZp/WFhuqWJImjhlnhnS53nJ1whR8cOYK36UgOAu0cMAl5sjTyF6to//K2lv0tDaa\n8jusufmG2yg7ykKUN9qsKCOxW1uHNfeWqxMqjBdLckSz6MNzkaHVaqBLSTBXtn7poMxorGv0rtdF\ntvu1rDSQqq6aBBMN4RKzK/QR3KXdKbMhRzWtUxBVG4VSfegicTGDLD1pMJVtgwGWO6KZvVrLtjGh\n/dAnLqhQCf/U908xxRWSFRnvfdNdqoUDhllgr9ZytIh+Fjbrak8dCoG2st+V3vGOKxMCqlQFJno3\nKhxblRMDqrKAcq3eDmte2uC5tR7WucIULe33tqsc0NJSg1EylXmtNyQp9prro2K6wZkrBFNBcAZr\n7pDLTNPEMVkOeNtVCWtBsm0wxGIHZdpa2hi4ZFqvbYVrXWyONvboY7UPXeSw5lboX2lWpkiKeUaI\nixljlg52aGOPN11T6Th7WmugZeCArGgsm3Wt9+3fre0xykf12obkszLCXB3sQEmxy63lmjnDMgPP\n2ExEvkaWG2CUj0zySoXnt+hin1a622CrznZpZ6cOOtoWlZm40MeuMEVOaVuX2UZXGvCfqEiKjw2T\nKt8Qi03yiiaO6Wi7D1ycEFTXtaL6Du3d4FVp8hVLMtmNiiR73XXR7rtTKQuoyqbaLzNNXCxhnOv1\n9I4rZThkhHnmGhmVLVlqsGJJJpksSXFCf8zgzBSKdgbBGaixXNd6Q55GUbHDo5pG0yWdbTHSXDla\n2Km9vVpHjVbLXGiBbBujx5t1jRoNr9Wr0mKVJ0ot107mmCYJFc272GyEeRBtb19moF3aNWiLkO7W\nu9y73nJ1pfWE2thtgOVa2VfhudlGV3if6lNvq0+6KHyrzlFdq/V6yC3X+PlskCavQkuZMpkOSpdr\nhf5VZp5v/MwPAAAgAElEQVQ62Rpl48aY5aimCc2vKWn+fLKfzfJjaGOPC3xik2626lxvu07Psyqa\nbu1rlSLJtQ5o2tjtMtNkOmiqiZUujO9uvf5WaOy4t10V1d3qZ4VbvWC5AZV2Bgg+a6ECehCcFZIV\nutULCqRaboB8aQkBTHs7jDPDAVk26SZHi0qDgwstMNpsK/WLesht0cUxTetlnJ1sdY03HdfYvNJ2\nLvu0atAgKst+V5jisOaWGJxQ+qC8AZZpab/dlWTnelhvgWGVZu7qorv1Rphnt7a2n2QKa5tOFba/\nX+1NM4yLvje3el6yIn9xR72OsaFlOKiJY1G171PpbEvU3qjM9V6zXUfPu61a69jSHYvqSrWQI9tG\n6/SscUHXk+lrpZu9lFABvaZa22OiqTIdlKOFj4yKpujLdLPRjV6xTysvuiUKtPv41B2etdyAqE9i\ncLqEYCoIznh3e1KR5KjeUvlFu63tcaV35Ghhlb6OaFZpEDXUQgMs18YeK/T3gYvrrXZN2RgoWa+0\nWh+HNY8KglbXFd6pUF0cnnVHlVNcmXLc4kWN5Jlsku2lzY2zbaiwlmurzhYbUmlD2w62G2ZBQksZ\neNEtjkt3u2dPuQC8Mru1tV4POVpUa9qqvK/7lSOa+YvbHZeuh3Xu8aTV+iQ0ED4XdLPR7f5ihw6K\nJXnKPdV+bVNHtLdTW7sT2h0tMrSOvf3ieltjhHlypUcZorLF76fqXVmmlb1ayDHKR5o54ohm3ndp\n9LNMSbY3Tb7zLfSa66MMXS9r3OkZK/Xzgtvq8LUEdRPayQTBGe2LHjfTWHExm0szSWVa2meMWWYb\nLVd6lcHLEIuMM8NqfUrXorSqt0CqpX1Gm212uVo/tc3udLbVIkPtK9f49g7PSlJcaWWf5g65zfMa\nyfOiWxIyH80cERdLKOyYo4WDpWtyTrRDR/OM0NjxhOM3eVmafF1t9oQv1mhLPBzRrMZBVJmX3SRV\ngZu87EW3WK+nP/uSL/mzuzzlaXfX6rpng6u8ZYFhUUZzk2xPu0uyIl/0RI2udVQz6/SyS7soOzjE\nYhO8Jy5mhQG1HGXMWr3ExN3meTd70UtukSZfZ1urfZV9WttXuli+mSMu9b4bvGqySdG0aNm09fVe\nc5enPeGLCqVaq5en3eUWL9byawgaWshMBcFpdLcnNZLnXZdXuv6HknVLLeRUGrz0tdLFPkBJ49h1\nesrRos5BVCPH3e2p6PEhGWYYV+fpsau9abOuVuuTMI3zPT/1c99OOFY2hhSFGjvuWXdEgWRnW1xh\nih06+MioOi9y72B7VKSxZFF4zYKp+vB3/sOvfT0q2NjVJnd52sN++JmP5bNynz9p7HhCvayn3eW4\ndJ1ste2EBfo1VbaBI9tGhzU32+ioVEFNxRTrZJt0ucaYJa3097JsOnmzrqfc6VdeK3tNMlljx73o\nloRMc9nP4zadop18KQr80L9Zo/c5l7E8c4TMVBCcUe7wjAyHtLPLY+6zpYr1P1AgrUIQ09NaE7xn\no+xoh90RzeocRMUUe8DvJSnWzBFPlk6zFEitUeblIh8YZKnpxkcfXld70xZdKgRSlUmV78v+pKmj\nnnK3Qin2aqOdnSaZrJE8OVr4wMVVZqFqoqZb9T8L23SSqsAXPe4J957u4TSIV90gTX70+C5Pu89j\niiX5g6/W+fqHZXjPBM0cMdps13hTsSRr9a7xteKSbNVFskKHK/k9a2+nB/0OJa2cTtUUe5/WXnaT\nm73kNs971h1Rhq6yn8dCKR53b8hOnaFCZioIPkO3el5bu7W035PuKZ0ealXtOjJdbXKd1zWSZ7uO\n3nBtvUzlPeARqQpQspD3EQ8qlmR/uam46hhunuHma+aIuUZq6mi0o3CmsT51XhRI3elpb7jWTV72\nrstt19HX/FZMXExcU0f9wVejMbSx212edkQzk02Sp9HnqjlsS/vc7CV/8uXStWNxHW33FY/apJvH\nfel0D7HBZdkvWZGv+oPDmkfTrXkaebSOwVVTR6TLNdJc3WxCSTBX1UaGmkqTJ8Mh5/nUJeY4opmF\nzj9lxfgMB93hWY0dVyjFk+6pslNBTLHOthpnhid9sV7GHdREHRagx2KxR3EddsXj8cGlx7LwF3TD\nRnwhHo8fLH3uh7gfhfgf8Xh8ShXXDcFUcM64yUu62KK5w551h31aOSiz2kFUezt8wXO26eS90r5k\n+dLqtDvvSx6Linc+7a6o/UpcrMbZnqEWGmumxo77xAUWGOaYJlIURpmHI5olFEFs7pCjmvq2nyuS\n7Ne+rpkj0fNl48iU40v+bJ9W3nCtQimf24aw/+An8jTy//wPZd30Otjhq/5wzgRUlGw4KGvInazI\nQ37joEyHZHjMl+t07SaOSpPvBq9qba9CKQlTyHWVJk8Txwy1yEhzzTDulD0NmzksRaG7PSVVgT/4\napU/480c9m0/t1F2CKg+c3ULpkbjCB4vF0z9BPvi8fhPY7HY95EVj8d/EIvF+uMpDEdnTEXveCU3\nCcFUcK640csGWO4Ft9qmk2OaVKuhb6YcX/EoSipjTzZJkeQ61Sa6wzM62g6aOur3HiidHmymOuuE\nutjsNs9bo7fX3GCAZa70jlQFlhhsljHypcmvQa+7po74ul/7L99JmP5rLNdDfiMm7rjG/uTL9VLa\n4TbP6WILeMx9Nc6+NaRmDvsffuFf/KOy70dMsQ52uNlLfuWbp3eAp0VcM0c0ddSDHrFFlzoHVJSU\nVUhW5HZ/keWAx9xXr6U9UuUbbbaR5prmsgq9LivTxFFJiqPF55X9rpet3brPYyGg+szVYc1UPB6f\nHYvFup1weBJRg6Q/Yzp+gBvwbDweL8TGWCy2BiMwt5YjD4Kz1nVe098Kr7rB266SL61aQVRjub7l\nFw7K9BsPQWlT29o3473FC3paJ02+J91jZ+li15Iq4tVbbN3RNnd7yladveNK/axwg1ctN8AUVyiU\nUqt+Zkc1S9g9l6TI3/sPlKwT+bWvi4tVq8joqdzqeQud7zXXu89jHvB7/+1v62XdVX04orkT//KM\nl7b2yXLAff5UL4HE2SXmiOaOaOYRD7rVC/Vy1bJA5QlfdJ/HfMWjHvFgpZsZUhT4rp8lHNulnT+7\nr8rrF0gzyxhJik00VbGkU9a/KvtjoYljvumXFf7AoOTnYZtO/uTL7vdHd3uyRiUkgoZR24Y/bePx\n+C6Ix+M7iVbHdqL0T74S20qPBcE55Vqv26yrn/muT53nuPRqBVKp8n3Nb/3Mdz3qK45Ld1x6nQKp\nm72ovxVecrOH/cBG2dF1qxtItbfDl/3JDh084075GklWZKV+Xned49JrFUiV+S/f8W0/94/+xQ88\nLEmxn/muX/iW49LrJZC6xQv6WalAquPS/aE0KxerEL6cXj/1D37o3xKOHZLhEQ9WKOlwbok5rrFW\n9vmKP9TbVfM18qivOCTD1/xWRunUd2V+5rt+5rsed69uNvlH/+JuT1Z5fqFU77vUPCNc5e1qN2H+\nlW+IS/I9/y6pkoIh5QOqRvKqdc2gYdXXbr5a/ms0vdz/Z5f+FwRnr8tNcZEPveoGSwxWky32P/Jj\n+dI87Ac1el1lrvGGYRZEj59xp7V61fq6MXE7dPBnX0q4RrGkhCBxnOnGmQHecK1Otlmn50mLJn7H\nzzR3uPQ+/NiPorvWl5u9aIDlnnZXVBH+y/5YacuZ061QarQZ4K9i1e4L93lWlq19yG/8yI9tkl36\nM1k3RVL81td8w69828+j4//sfymW5B/9K5Rmi75rp/b+rx/pbKv7/fGk9cCKJZtqoiTFrvO6YkkW\nOf+k4ymU6t/9vR942P/yz/5vpUtiYgql6GyrH/lxaS2qz29NstNjY+l/p1at3Xyl03yvlVsztRLj\n4/H4rlgs1h7vx+PxfrFY7AeIx+Pxn5Se9zb+TzwerzDNF9ZMBZ8HMcVRZmO86S72gbdc7WPDQJJi\nxWKqCgzK/ur8vp+Iide6ZUX5cUw01QjzSgO6IdV6fdk4khT7gYcrPL9Dhwq7qWKKIWER/TjTFUvS\nxDHDza8whhP/yv6a38pywH/6uwbrUxdT7CYvW2ZgVKbhfo/qaLvf+lqti202tP/pn/2bHyYEq23t\ncoNX/cEDp3FkZ4ZOtrrcux53b7WyvjX1PT/VSJ5/9Y+KJWss19/7D4c198vStWvFknWz0Rc9YY3e\nFVoAXeQDE7znfZeaY7SrvBX9Xiw1KDqvWJKq/o34oX/1E98/6ddYNobV+nihtOVMyZ7Y2k4+BZWr\nYzuZWCyWrSSYGlT6+CfYH4/Hf1LFAvSRSqb33hUWoAefU0mKjPKRy0xTKMUM46Jt0MkKJStyvdcs\nMjShW3x53/NTyYr81D/U6gMhSZEUhYabb4xZ4D0TzC/tl3cqqfLFxP2d/xQXUyzJT32/Wq8daKke\n1nvVpOjYaLOMNttUEyusD0lR4B5P6mBHtEbqv31NTgOvV5rkFWv1irJjKQrc5zGvu67afeROhx+U\nTvWVL9rZ1i43esUf3V+nadXPgw62+7I/2aKLv7hdsaQGeU++72H/5TvyNdLUEd/0SzFxB2T5o/sV\nS9LNJsMsqFY/xau9aYjF0eNUBZ5ytw26Vxn8/G//1z9FGduq9bbaLV6UpNgyA73h2ipbNAW1UYcF\n6LFY7GmMR6tYLLZZSQT0MJ6PxWL3YxO+APF4fEUsFnsOK1CAhyoLpILgbJasUCN5hlhsvOlmGmtm\n6X6MVPlSFbjU+/pZabJJVQZS6Y6hZB1GTQKpsvvDAMuNM8NcI2tVKfsbfiVFoQKp/tPf1egv2UIp\nCZWrYbYxZhsTPU6TF/W6u87rWtvrMfed1iKZd3tKS/tLswFnrn/3Pd/z7wnHiiVpIcc9njwHF6In\n2qGjx93rDs/6jv+yUbaX3VSn9YWV+Ynv+7af+52/cVQzD/uh1vb4mt/6ll/YoosFpZno6njLNd4q\nLbRLye7SuzztUV+p8+/FGn087IcGWOZ6rymS7H2XKpBarcbRQe1VZzffXVU8NbGK8/+NE1ZPBsHn\nRIoC51tooqlypZvjkiiQauS4y72rvxXecK03XFfldZo57EGPKJRSoz5wKQoMtsRV3nZME0sM9h++\nV6ev6Ve+UasptlX6WaUfSoKmyhZHX2GK7jYokOoVN3rO7XUaa001lqtIcrTeqImjkhV52l31Vleo\noTV3KCpOulcbT7rHFSot33fO2aqL//A9PaxzixdNMtlrro9a8tSPmF/6pr/xO4+7N6r/tFtbv/O3\nKOlIUFvP+4Iv++Mpzyv/c3Aqyw2UpNgE7xlomUWGet+l9R5oBn8V8n9BUA0pCmQ4pIf1JnjPPCO8\nV/r3RGO5mjhmiMWybfSma0664DpTjvs8plCKRzxYrb8Yy+7f0XYX+8ACw0xxZZ2+pkw5DsmoMpiL\nKZbhULXKBlzgE2PNdKw0KGvimGJJjmvsFTdao0+dxlpbE7xX2sKmZK3UTV6W6WBUoPRMFhdzVFN/\n43d1Dpg/79br6WU3mWSya73hLVfXS02yMkVS/NH9HvIbP/ftqNht2e9lY8dLa7XVTaYchzWvkKk+\nIMs3/bJGayqXGmypwS7wsQneUyzJLGPqOdAMypz5/6IEwWmWosBAy1zlbTlaWGBYFEilO2aMWQZZ\naprLKhRVzJRTYevyRFPlaeQJXzzlP2zJCrWyTzu7XOd1iw2pdeHGFg5U6INWVn7hRDHFutrsEnMq\n7BBKk6eFHMc1jtpeHNPEDOPMNUpTR1xhis26RgvxzyQvufmMXitVpliy//a37vGkVvaesQvlzxRr\n9faa613rDVd52xRXNEil/AyH3OFZ6/XQz0o3e9laPSvUeiorClqdMRyQpVCKK71jvuGOamqPNtG0\n+6993Vf9QVu7FEuqUXHRT1woJm64+Y5qaq1eDskIQVU9C8FUEJxE+UBqkaHednX0XBNHDbVIN5u8\n71ILXZDw2hYOuMGrMhySVy69/oJbKy0MeKJkhc7zqUkm26u1JQZ707U1Gn8LB6TLBdd6QyN50Tqn\no5oqqmKtVmPH3eZ5j1fSYLedXa7ytm06+cDFcmRZp6cMh3Sw3QjzdLPJKn1rNNb6luGgAqlRtizL\n/rOuJk+BNH9xuwc94ue+g5I2Qoc119K+M6p6+5lgtfMkKTbGLCPMs1I/hzWvl6CqWJJd2imS7FPn\nmeYyt3jRXq00kifL/uj3uomjLjFHU0fNLa18fkiGo5Vkr1raZ66RcrTwnNt9wV/0sdrT7ooWpccl\n+aP7fdUfNHfY4+6t0TT1x4b52DCjfGiSyRYbYqlBDbaD9lwUGh0HQSWSFepou+YOG2muHTp429XS\nHdPaXtDJNnExc41KeG2W/Zo5YqBl2tvpXZdXu5lqWSNTSJfrEnPs0yphx1x1lI1hnBkyHJJb+lfo\nG65N+Ee4o212al9uWiGuiy1SFbjMNM0djrZa50uzq7RyOvSwTm9rrNDfAMv1tcrB0kzVXCOtMKBG\nY65vV3rbXq2j7NjtntXSfi+76azITJVpUtpGpSyYoqTh9VgzQyuRkxhoqQnes05Piw1xQFaDZKra\n2+EmL8uVHvXNPM+nBlvigKzovNX6WGxIhTFc6W3nW+gdV1pmoAJpUUD1U/+QsM4pTZ57PS7DIc+7\nTYHUWv0sjzZLnkZ2am+PNiFLVW112M0XBOeSJEW62aSx44ZZYL+W/uR+lKTtB1iun5WaOWKzrgmL\nzLPs10KOntbpYIdZxiTs2jmV7tZLVuQiH4LDmkf3PpVMOVraHz0uGwO85npbdK30dRf50FKDrNFb\nXJKYuPs85lPnecrdbvWC8aXFdQ/JMM8IOVpob2dpI+LM6PkZxlXIzp1pprjirAqkgtpbZpCYuKEW\nudlLPnWeOS6p9iLu6tqpgymucJOXjTddM0e0tcdHRnrHVdF5V3jHaLMrjKHsnCu9Y6vO9mjrObe7\nzXO62pxQbDdfo+j38nLvauqoF91iew0bjcw2xmiz3O4vPjLKAsNCQFVHIZgKglIxxfpZ6UavWGKw\nJ8pNcZUFUulyPeFe3a2PMlRZ9mttryEWa2u3Ka4w1eU1uncva9zlaSv1S7jvqWTK0dZu7e2MMlow\n3/CEMXS0zQFZFdL6L7rV9/zU665TKEVM3Cp9PV9S7SRhLK3tMdJcRzRzoY/t0MF6PWo03qDmiiTb\nootsG2zU/XQP56xStgj7/NINEmiQgOqYJuYaaZaxultvlI8USNXb6uicLAdkOWC1PtH9O9omR4so\noOpghxwtFEjzvC/4gX+rUIMuVxNPuFeGg272kpu8bIorHNW0RkFVWQmTUT4SEzff8BBQ1UEIpoIA\nxA2w3I1esdgQr7kheqZ8IDXLWLBBDxv0kGW/8abrYIc92phqorV61+jO51nlC56zQn8vuK1Gr+1l\nrYt8aIZx0djKdLDdUU0dkqmndXKlW25AQkDVyxrJigy2RLEkcbEokCqvsVxNHTXfcOPM8JFRPnBJ\njcYa1E6ext51uXs9XuvNB+e6soxpWWHb+g6odugY1Ygq+7eht9WGWhSd08YeHxllvZ7RsbLfpQ16\neMdVrvS29XpUa4fvIZlecaPLvWuoRY5oJklxtZcUUBJQxcSNNFdcLGSo6iAEU0GAQZa60SsWOt/r\nrk94Ll1uQiBVpqV9xpqpgx3ed6mV+tfonn2tlKpAD+stM9DLbq72azPl6GqzdLlmGmupwRXOGW6+\nAqnmuMQsY93rz5o6an+5xe9Xe8s6Pb3k5korJafJc55PNZKnqaNmGF9psBV8tsp2e3Wz0abQ07Ra\nGjqgOtEafaKSIO3sNMF7Ua/KA1rqapP9WiaUVCg/LVhmoGVVtoXKkRX9Praz0xCLZTnggKxqB1Wz\njBUXizJU84yol8bi55oQTAXntMEWR21fFhhW6W65/VpFgVSmHD2sB91sqlUg1ddK6XJd7l1r9Paq\nG6rd8iHDQT2t08k22TaaaWyV/9Bu1lUXWzRxzCGZ1uittb0yHIrOWamft11V4f7JCg22RBPHXGKO\nj4wyw/hqf41Bw9qntTV6u8iHIZiqgc86oCqT5YDDmutii7FmmmmskeZaZKg92lb5usWGuNErkhSf\nsjnyLu0tEXeFKZIVmWpilWslTzTbGHExF/vAKn3tCcFUjYVgKjhnDbXQtd6wyFDzDT/lYvEMB40x\nS7aN1ukpTyPTja9RINXfcld52wbdLTXIVBNPGUg1cdQAy0GafBkOKZJ80kAKFjnfIufrZY3h5llm\nYDU+OErq0aQqMM4Miwz1oYsqZOVOprMtCqQm7PwLGkbJhoe1VbYsCioqC6ja22mQpQqkWm5AQpHP\noRZaYnC9NVAu6xYwwDLjzNDZVmv1OmVfyrdcIy7mBq9KVaBQykk3eezUwbsuN9FUE7xnuQF26FCt\nLNUco/W3wkDLfODikJ2qoRBMBeecoRZKl2u86T52oXdcecqedBkOGmyJPI3MMK7SabWT6W+5TAc1\nccxSg8w2+pQ1Xho57gKfSFKsSWkfv31amWP0Ke/X3Xrt7QRDLLZfS+vKrdU40QhzJSsCzRyBhFY5\n1dXZFj2tExfTw3pr9TrpX95B7eVo4YAs51sYgqkaKgtILrTAWDO1tN8sY6KAaqKpmjlijktq1K/y\nVJYbqIf1ellrhnHVqhP2tqsVSdZCDrjIB45rXGVQtUNH75kQ7TzuZ6VpLqtWQLXUIGPMEhM32+jQ\nfqYGQjAVnFPO94mJplpmoLlGmmHcKf+xbO6QoRY5KDOhiW919LVSa3ul+P/s3XeUVeeV5v9P5SJU\nkYMAkXMWUSKLjAgiSChLDrK73eppjz3jnvF0T8/q6Z4Zz/g3dtvTdjvIQVZGQkiAyBmEBCLnnHMu\nqoDK9fujbh1zqXQRRSi437XQUp1z7jnvqbr33Ofd797PzhUr31p9IlpWSJRlkBW622SZIREJqCJa\nOGCoJa6q6rQGgb9NSQ/uPtZIlB0kwuaLtdDIm7rHIoqE1CHNJcr2uKWaOGaZIVFBdYtkSbJdJ4/Y\nEHyJXlDHRo/oastdHl3lZb1eCsQYYpkYBZYZIlMVX3jUYMvFyr/pCUV57NVGIyeCyUskFH0m4+UY\nZIVkmQZYKUP1Epf/TmjshMYedkQbe7WyX3OHHNCyzIq/LzymQIzBlotRYLnBckN9LaOUTVRMRXlg\n6Gmdxy21RVfLDIk4jF1DmhYOesPXIr5WO7s85KQCMQrE2KS7S9cZ+JVGrLyghDtLkqUet07vYH9t\n5zVywjZdir22uYOaO6SV/a6oZqnHS11q622taq541Be+1NtKA60wiFL69EVCc4c0d8hBLYLE28ct\n1cDpuy6mOtrulIZhyfeViSzJNutmqmn3vJdXZWODngrEGGqJtfrIVCXIIRpqSUhUDKmw613fIPxm\nyZVgiWGSQ5H1vtaIlW+DniUef1RTRzXVzGGPW6K5Q45pYpf2pfqtrQlNqoZaIla+HAkRTTofdKJi\nKsoDQS9fGmy5LbpaYVDEQirFZb19eVPXam+n+s7IlmiX9jfR8qPAcIv0tN5CI8JEVBG1XdDRjhLF\nVJ442RLt1MEBrUoVUn2sMdhyG/SwwiBr9amQ2edBLTR3yMOOOqKZvdoqEONhR9Vz5q4Kqg522qZz\nRG18ojx4bNRDX2v0s9oiw2Wq4jMD5Is1wkJx8iwJuZvfC2SqEhI4f44ildUH87BmlhiqiWPa2+WS\nmmWa136pjwIxQYQ5Qc5Xjlg/KETFVJT7mh7Wq++MjnbYoqtVBpTpo5Ig2zCLg5+ruqqJYxZE8CBp\nY08QTv/Co+VW39zIGHP1sMFcY0qdaZ5VzwmNdLPJZt3D9hXNQm/kERs0cDr4ubNt1uvpM/0rNMn0\nuCaO3pCXsU8bXW1Rx/m7Hp26X2nolK42l1mMEKV8VhlgtHlWGBQ8Iz7XT75Ywyy+p8RUFVf1tN7K\nUAStKJpdlqA6opkjmqnpki62Oq1B4I1VEkWTuWyJxpgrVn6J1g1RConG7aLct/S0zkAr5YsN5R31\nLzPpO1aeJ8zRzWZn1HdGfYc0N9+ocsPybezxuKWqy7BWn2Kiojye8KnevvSpsaUKKUhT0zZdXA71\nwCuNLrYYZ5ZxZqniWnA/Z9S3xNDbWq3TwU4tQvYRFM76mzimnjO35XoPMqc1cFALrey/20Op9GzT\nRWYJn4k1+oqTZ5R5wbbq0o0zS3+rbuuYRpsrRn7wc4Js48wy2HIX1HZVNZ/pb7vOBlqpVwRR9K26\niJdrhIUahlpOlcU6vc02Tl9rjDHnlu7nfiYamYpyX9LTOgOsslMHq/Urt8HpkyEvl/Z2+cSTETfp\nbWm/LrZq6JQLaltmiHPqRTzOMeZIlK2bzT42MYguJLtmoJUlhtYvqamaDE/6uNTznlcnEHSHNJdW\nTgl2RbFLe42cUN8ZB7VE4fJfb2vVkHZXolM9Qq1vTt6HPfnS1HRQC+3svttDua+ZbZwRFgaRmWSZ\nWttntX5hn8PjGpe4PP9V6W6TZJnyxZrpSflinVVPX2vMMwZcUd1n+inAAKs0dtwRTUvNrTuqqUWG\nG2GhkRaYb1S5NiYb9VAgxjiz4aZ6jj4oRMVUlPuOmxVSk3yki62mm2LnTSSHtnDAcItclmqVAU5r\nELGQGm2uaq7Yq408cfZpbbvOwf5c8Q6VYMbYwCkDrHJZaqgBasmc0Oiu5Aed1tAZ9XWz2Vn1gtYZ\nn3tMJ9ulqXHHBdXDjtqndbnRvHudDNWt1cfQe2zJ6X5hhAWh6PWNaQCFBSS54o01O2hufk0VW3Vx\n5Tp/qrTb8B7bp7X80CJSnnjr9ZQlyUjzLTAKhYLqc485oZEmjgWmpGUJqvlGGWOuMeb61NhyP5eb\ndJcv1nizxCgo0eD4QSYqpqLcV9yMkJpohiRZNutmu072aBfRNZo67DGfO6+O5QY7r07EImqEBWq7\nYKcOsiTZp3WJpp25EoKKOKjjnOEWqeaKGAVW61dmvsPdZLNu6jmrlovBtqOaGmilaq44e4fGsdEj\nsrgqMUcAACAASURBVCSFNYCuzGRLckwTPWwIE1NHPSzVZb2t9aU+d3GElY8hoWpTaOGg3/h2iX3x\nCsTaq40RFlpmiCdCy13XVA2bBN0OdugYZh6aK8EhzY02T4yCIFqWIcV2nR3RVIwCjZwIxFQn23S2\nzUaPBM+545qY4wljfWq8WWaaUM5zLMZWXRSIMdyiqJi6gWjOVJT7hh7WG2hluUJqgk+84C2dbbNJ\nd7u0j1hINXHUGHMlyLFZN7u1j1hIjTRfDxvs1cYOHe3WPqI2MrVcMNHHarpkucE+NfaeFVJwTj0X\n1dLXGi3vYi7PGQ3u2PLmnaSO80ZYEPycLtUV1QKT1iiRMcRSl6Vap5d6zlpohPRyotgUWpZsLaGa\n9nbwvmc8671i2zNUN98oj9gYlstF4fvhM/2t0ReFtiBDLdHebiMs1Nae4NgTGpttnHi5qrhW7ngK\nxNqntaqulplm8CASFVNR7gsescEgKyKKSDV1xEaPeNNL9mgrUm+lRo4bb5ZrqphrzE0tV4003yM2\nWmS4rbpEZEVQXbpX/NFTPpQo28cm2q91mSXN9wpr9XFBbSnS7+o4HvW51vbd1TFUJBfVsshwjR2/\n20Op9DzkpItq2a+16abYomuJUakbyZXgqIfVdsETPr2tYzyopZYOeNkbxcawTWfzjSrxvZAuNZjk\n1XLREU390StOayBVWtixJzUqYWmzdLIk+chkTR35Cnd0/xJd5otS6eluoyGW2amDVQa4cl0X9huZ\n5COpLjumScQ5NPWdNt4syTJlqG62cRF5Rw2xNKiyquuchUbYqku5D+wkmV70ljh5kmWabopsiZXK\nWuCi2hHN8m83u7R31MOV1qzzRnIkOukhXWwN214ULXjMap/rd5dGV3kYarGHHfWFR+GmI72X1PSp\nsTftQfdV+IOv+4bfF9ueI9E2nWVL9IRPg2W3lvZ73NLguINaWGKodKkRFSpMNl0tF73rubB+hUXk\ni7NbO7niTTbdR6bcwt3dP0TFVJRKTTebDLXEDh2tMKjED38Rk03X3i4fekpGGYLreuo4Z6ppsiT5\n0FOyJEXkZD7YMn2stdJAB0JVbRfULldIxcvxdX9QXYY3vSRXvPPqRjTWKMW5pFZEf6/KxkNO3pAM\nXVW2xOhSX4TUcd4yQxwvo7VKWeRKcFoD9Z0x3kyzTKjgEf6Z45qIUeCbXvc7r4bty5EYiq7zF37l\noBZWGGR26H3RxVYxCqRL1ccaGarbXkal8mTTdbDTNFM95UPTTC3Rly9fnHPqRt9v1xEVU1EqLV1t\nNsJCO3S03OBSPaQm+MTDjqohzYeeClXHlN4Nvqorvu4PKFxWeddzciREHMkaZLlHfWGFQdbrGVGz\n0O/4pVj5csX7wNPyxUbduqOUyBn1zTbOOLMViAkiEjt0lCRLP59Zrf9dHuW9zTyjDbfICY0iagBc\nEufUNdMEvayr4NEV5998x3f8W5mCKkmWkaFcuqIqvzQ19LJOb2tt01m+2DJNi+s4b5qp9mtlnNle\n9bpf+4tSJ4G1XDTV+6Z5poLutPISzZmKUinpbKtR5tupgyWGlimkOttmiaF+4bVyhVSSTN/2Gwly\nvOVFM01wXt2IhdRAK/Sz2koDrdMrYiH1nme95UXvedZ5de8LIVXUvqJtaGnhE0/qY21ERoFRSidX\ngh06mm2cVJeD7VmS5YlTzZW7OLrKQbpUyTI9432NbiL/rJorvhaaaOWJd+kOFTicU1eMQrFTEjkS\nbdHVAiPD8hQzVfGl3rbo6qpqZQopeNdz+lktRbrf+aaqrvorvwwzDi0iTQ3vek4bez1t2i3d3/1A\nVExFqXR0tN1Yn9qlvYVGlPqAGGeWLrb62ES7tZOmZplCKl6Ov/av4uT5jW9LU7Ncj6rr6W+VAVZZ\naaC1+pS5pPcNv1Nduu/4pXrOSlNDmpr3VfXZNVXFy5UoG4VeOMkyxcu9yyOr/OSJt0NHW3Uxzqy7\nPZxKyQyTnFfHC97WIILlqkzJfup75hsVCKo7RYEYP/M3YdtqO+9FbwY/50pwRTXt7A6r8MuSHHG3\ngwwpqroqVr7LaviF11R11ff8tNix+eIc0ty7nrvrhSb3AtFlviiVjgQ5dmlvrjGlVsWNM0t3m8ww\nyS7tyxRR8Lf+d/D/P/PdiB8+Pa0LevnFy7XSQF94tFTLg5e9oaFTkmSJUeD3viFGQWDK9yDworf8\nwdfLdV2OUjZ54uVIkCwzbHsfa2VKttKguzSyykGmKt7xfFDsUT4xMqSIl6uqq8HWhx31tGk+MPX2\nDVaMS2r6jW/7K7/wS6+Jla+Fg170pre8BPZqY64xQVusG1li6E05tF9R3U99zw/82A/8Hz/2t2H7\n88W5WkaLrgeJqJiKUmloY4+nfWCbzmYZX6pAGmu2R2w0wyQ7dFRQjlD5T34kSZb/6b9ARLYFFNox\njDHXWn0sMRTkiSv1ei97Q3OH/Na3nFVPrniR2jLcL7ztBV/zRzEK7vZQ7hs62GmCT8z0pHV6SZQd\nRAOjlE22pFuayBzX2Lue87x3POUDH3q6Akd3IzEyJQfi+Zy6fu8bvul3XvCWt70oX5xNupfog/W4\npUabZ6QFZhsXcWPsTFX8Lz/0X/zPEgVVlEIenOlwlEpPrHx7tDXThFKF1Bhz9LTexybapnOZQuo/\n+rF/8I/+P//Rf/cPciVELKS62WS8WdbpZYGRwWtLu95L/qS5Q173qpMeCl3n/hdSn3hSW3u0txOF\n0ZSCB+C+7xR7tDXdlCCyUiDWZ/rLFW+gFXd5dA8CMfZr5V3P6WiHKT687VesLsO/83PEOK6x3/uG\nVvZ73tsofA8UPY+u/7fQCP/s723S3UQf63ydvcabXiqzOXuuBP/kv5a4RH9KQwuN8JI/Vfi9Viai\nYipKJaBAG3t0tyk08yv+ZRwj3yjz9LTeJ560VdcSj4NYeb7nJ5Jk+ZH/HFqSK+8LvkCcXB1t91/9\nd+PM9qXeoWajpV8nTq7nva2Zw37vG05oHMG17icepHu9G5T0+40J/Tca/SuPWHk38XsqUMMlf+Pn\n8sImczH2aeM9z+pg5211Bs9UxU98Xw2XveZfxcp3zMPe8IqWDnjWu2JLXbKMIVT9uUEPk8zQybbQ\n/Rfuiw3li16WKk4uN/xu8sSFtoefN1+sZg4Hgu5BJLrMF+WeJka+VvZ71nt2lOKPEifXUEv0ss4c\nT9ise6nnS5DtL/1Kkiw/8f2Iqu2KxvCcd+VIsFk3Mz1Z7usm+lh7u+SL9aaXvnIJdmUnV7xY+WLk\nl7vkGuXmyRMnX6x4OUFkNVe8BDni5EbUsuhBJF6OqaZp4HRES33JMn3Xz5xR36/9ZbH9e7Qzw6Tb\n7rifIcX/89f+yi+96nW/8RcOa+4dz3vWe6aYboZJZUbZZxsvRoFJZsgXa5f2CsT6pt+p65wCMRJl\n+7EfBJXSBWL91Pd830+KLfUd18RbXtTP6tt67/cy0SdblHuaRk6EhFRH00tw2k2Q7XFL9bLOfKNs\n0LPUcyW75lt+K1mmX3itVDuF64mVd52Y6+hHfhiRkEqUJV6uGSb5kR86rHm5r7lfmelJnW0L3OCj\nVCy7tXdAS2PMDbZ9rp9Y+fpacxdHdm+RKEtVV4J/z3rP5x7zIz8ss0VT0fFVXHNGfb/ynTKvU1jB\nmlXRww8jTU2/9S2x8iWHeuod0Mo0U7V0wJM+KXcMs0ywRVeTfaS5Q+CaKn7j237muxEbGxeRJ06O\nBEk3FEQ8KESnLFHuWWLlqS7DUQ+b7qli+xNlGWCVntZbZHipVSpVXREv1/PekSzTb31LutSIrt/S\nAc943y7tSxzDjSS7JlG2kRZo5rANoa7tUaJEubv091lQ4VbVVdkSQ0UgJVPUw66olUum5HKFVI4E\nLR0wwsLAnf52kSdOVVc97x2/902wTxszTPKkT4z1qbnGlOktNdOTqstQzRVxcoOqwH/n5wrE3FR+\n41FNJcnypE8eSBPPqJiKcs9Sz1lTTLdTh2L7kmTqZ7Ve1lnqcV/qU+I5Ulz2tA+kuixXvDd8LaL2\nItcLqd3ahVXpJMpSXYYsSUEfwCququKaAVZpY68sST7xpH3afMW7v/9Ika6281GfqTvENVXEy5Xs\nWrlmjQ8CSw21NFR1+7RpNunuqKbB/houSZci1WWx8v2FX0uX4l98L+Jr7NHOAiO1tk9VV8psb3Wr\nXFTbO543wUyp0gJj4T3amWW8sT412HLzjS7zPJelmmCmAjF2aR+YkX5k8ld63yTKVl36TXn03Q9E\nxVSUe5I4uVJdtlMHM0wO25fsmkd9oZd1Vhhkrb4lniNVmklmqC7De54tM5RfRIx89ZyVIr2YkEqU\npaZLmjimj7WhfoCDVXXFEMt0sNMV1cwz2nadb/2XcB+Rpoa+1gTLTmVFBKLcPJmS5UgI+xJb41HD\nLdTVllI/Iw8qaWqo4pr6TqOwb+Yo863Ty0Qfy5Tsolp+49s3fe5rqmjqiFHmW2jEbRUVueIlyTLR\nx/7klWD7Lh1Uc0Vd58o9R1H+1AQzQ69t700vl3hsgRjn1VHHuRJ7hmZLVMd5Iy144BogxxQU3J2K\nj5iYmAL+2125dpR7nzrOecqHJSZ6drPJCAt9pr/P9Svx9TVdNN4sNaT5yORQFV3ZxMjX3CEveNsp\nDV1SMywi1co+U0y3Ti9LDAPVZBhkhfZ2WWJomcnvUaLcTh6xQUOnzPVEsG24hWIU+Ez/2xolqYyM\nNF9TR8DHJjqnnqnel+qyt7x4S9G89nYabZ5DmltsWERpBV+V+k7r7zNr9JUp2QV1gjE0ccwOHaVL\nKXcM483U2Tave9VZ9Us9roqr/tKv/NT3S9zf3k4d7bhPxdQ/KigoKHHtMzo9jHLPESdXPWedLCOS\ntEv7UoVUbec9YY4U6T42MSIhRYEWDnreO/Zq433PFjsiU3KYkKou3QCrtLPbUo9HhVSUu06KdDVd\nDJayL6lpkBXOq1NmccaDSFEz4OupqFyfXTqIUWCEhYZaYqnHI+7vebOc0cDnHjPJDBfUDp5du3QQ\nK99TPrRZN8sNKfM8s0zQMIK2OuVxVVXXVFHb+UDYPQhEq/mi3FMUejntMMziYlVzVV3R0n7JMp1V\nr8TX13HOGHNVl2G2cRHbEbR0wAvetkfbEoUUheW/1wup/j7T3i7LDbbJIzdxl1GiVDzpUtRzVm9f\nBtvW6W2Hjuo6p3q0f1pAfadVvc0NoXfqaJHhmjqiqy239VqnPGShEcW279DJej3VclFNF2/rGIo4\nopmjHjbAqjtyvXuFqJiKck9RxTXjzXJQi7DtVV3R1xoTQ4Z4azxa7LX1nDHSAtVlmGuMI5pFdM02\n9njRW3Zpb5pnxMnVwoESj60mQ1u7AyG1wiAboxV7Ue4B9mljbQmFGGfU18FO/ayOCio0dNJYn2rs\n+G2/1g6dLDFUrHxt7Q7+pbhc4de6opo0NTzkRNj2C2pr7LjOtlXIdfLEOaKp5g5KlBXcUxNHw46r\nIS3ISXsQiC7zRblniJWnrT2uqGaOsWH7HnLSIzZarV+pQmqYxVKkm29UxL5O7ewy1TQ7dAzyoxLk\n6GCng1oGx1V1RTOHg4fScY2tNDC6dBLlniBVmsaOa+iUaq6o50yQ97JBTzEKDLDKMU1KNb99EHjI\nCZ1tk6H6TfsofVW266yzrYEtw0NO2qOtz/Sv0FyqkxpJddlo88w3Kkhv2Kmj+s6o70yFLL1lS/Kp\nsUaZr6ZL2tiLQjEXo8BRTaWpIVmmkRZYaMQD0dQ8GpmKck8QI98jNhptnl3ah+2rJkMLBx3X2Bce\nK/ba+k4HQmqR4Q7dENUqjQ52mGK67TqFJZpnqhIm5oqiYmPMlSLdZ/r7wNSokIpyT1DDJQOsMtwi\n8aEq2KGWhEUF1uvlcISR2vuZhk65opr5RjmpkRYO3PblPtimiw9M9YGpVhqorT36+6zCI1SXQ+Ls\n+qVeOK2BBk5ra0+FXCdTFSsM0s/q4L526OgJczRzyFFNzTdKskzDLdLQyQq57r1MVExFuQco0NN6\no83zpd7FfFHqOqeLrQ5cFykqor7THrdUinSLDXNAq3Kv1tF2j9igpQO26mKGSaUeW8VVj/rCIzb6\nTH8zTC7V0ypKlLtBY8e1st8Kg8ww2WLDpLrscUvDBNUhzdV0SQ2X7uJo7y4b9XBNFZ1t84gN2tgr\n+Q47dm/UIxBUFZHwfT0nNbJWH7Vd8HCoUpHCZPTd2mnsuLrOVug1i0iXIkP1wP7kiGYWGiFZpk62\n35Zr3ktExVSUu05vXxpjrjX6WmikRFm6hBI2q8nQ2HGrDCgmYho4ddNCqrOtnjBHU0csNMIsE0rt\nF5fsmn5WB0KqpOXFKFHuJjVd1Mp+xzQJqkn3a22JoVKkhwmqTR7RyAkDrArcvR9EigRVQ6dkqK6V\n/Xpbq4qrd3QMKw1U35kK/1tcUFuueF1t0cApva3VyHHHNFHXuaB1TEls10kr+yNqCZMlyT6t9bZW\nBzucV9eaG/zMDoesIfLEaXQHctTuJlExFeWu0tcXxphrtX4WGSFBtt6+lCJdVVcMtFIbe0uMBjVz\nWIp0Sz0ekZDqYouRFtitnXlGhzU5fsxqfX0R/JwkU0/rxcq3wqCokIpyT1LfGU0dsfcGp/39Wlvq\ncSnSw74892irpQMRmTnej7SyT11nbdTDXE/IkqSmS2q6pIcNHrP6tvfVK2KjHpo6oo7zFXrekxpZ\nbJgrqmlnt062a2OvPdo5qIWWDpSaGL5af4/YaIBV5f4erqrmM/01dtxjPkehFcdZ9bS5bjnxkBZy\nJAS5VfcrUTEV5a4y3CIrDbTYcPFyDLJCL+us1l+KdB3stEXXYq9r6KRW9jukuf1aR3StR31hj7YW\nGS5Lcti+ZJlBuD9Btj7WyhVvoZHRZb0o9zSnNbBNl2Lb92vtkOZa2R/krGzRzVn1dLH1gYxOJcjR\n0Q4DrVDbeev1cjrk05QjwUArDbJCguw7NqYuthpoRYVWWp7QWLoUVVyzVxvNHNbEUQe0VEOaIZap\n50yJr12vp57WG2SFeDllXueK6r7wqFSXdbHFOfVs1UVjx8ME1YNAtJovyl2hv1US5IiVH/TLorBR\n6OceU9UVvX3pstQw64H6Tutoh4ecVNVV+yOISFHoDr1bO+v0ck3VYvuXGipWniGWSpKlnd1+7ru3\nfqNRotwmarmgkRO2l1Gdt18rzRzWyImgndJWXQy1RE2XbpuR5L3KLh0UiAkl6J9xXh3dbXJOXWv1\nDfbFypctMXhdvlgrDK7w8WzRVR3n9bBBTZcsMTTo91lRHNZMK/s1d8gqA8FQSzRwukSn8+t/D5/p\nL1dCmefPUN0+rQ21RIwCW3RzTl0d7LRX2+C45g456HDEljWVjWhkKsodZ4CVBlsuT5zFIRNMyJVg\nhcG26Gq4RdraE+abU88ZQy3Rxl6HNbPE0DD7gpLobqPhFhpimb3aBC01BhabfRa6FfezWroUqwyo\n0HuOEqWiqeWihk7ZqWOpxxzU0hJDpboc+A9t19liw7S274GMTu3W3mLDnPSQbInW6qO9XYZbaJvO\nFhkuQ3XZEoN/g6wwxNJbum5buw23MMgd6mqz0xpYYbDFhmllv2EWV2juVlNHJMu0xFBx8jR12D5t\nLDZMPWdLXe77Up8wMVkWGVIsN9g+rQMvq6J2XO3tRGHxQ544D9/gRXU/EY1MRbmjDLJcP6utMMhq\n/eSLC9ufJNMo87W2L6xhcF1nDbcosD+IJEequ40GWWGvNj7TX1poFj7IctkSFfhzi6Ux5uppvTme\niFoeRKkUnFPXUQ/rbmOZDvwHtdTJ9lCLpkYoNJPsY63d2j1w0SnYo5092gU/d7TdaPNUl2Ge0Tf0\n5SuQL9YwiyXLdE2VcluzlMQ1VVyWqp3dutqijb3mGe2cerbpokCMUeZbaWCJ0fOb5YimWjqgmcMW\nG66tPRo54Yhm9mutm82GW2ShEaX24htukTmekFeOVEiXartO+lkNzqnnslRDLBOjwE4dHfWwdnY7\npknEPoCViWhkKsodpastVhroC48WE1IJsj1hjrb2mGtMIKRqh7qQp7psoRERCalHbAiE1CoDrNXX\nVdUMslymZOv1DMLXT/hUb1+abVxUSEWpNCTKVsW1YJJQHt1tCnPHXq2fTrY/kNGpG9mhk7nGaGW/\nJ8y5Ifk6xhp9zTXGGfVdVfUrRamOauqqqnIkOKO+rOsKYCiMNBY2pL51IQVn1bfcYDkStLXbLu1V\ncU2zUEHCBj1Ul6FGKX//RYbrbJuxPhUjv9zrnVfHIc31CnlcHfWw0xoEzaT3aCtLUoXbQdwrRCNT\nUe4Igy1Ty0Wfe8wWXYutw8fKM8FMre3ziSft0iHYV9jv/LJ5RkdkyPmIDQZaGQipIpfhIZbKUN0W\nXeWEQtjjzPKIjT420RbdKvCOo0S5vaS6rLNt0tQod7l7k+5GWGiU+eYZ7ZSH7NHOQCtt1u2BjE7d\nyE4d5YuVJMso88XJAwVifGJiMNFKlK2rzSaaEby2MIm95Mbr19PUESc9ZKMezqvjgtph52hjr3i5\nFVZPeCZ0zkZOWmaIzrap56zDmjukhUtqlvrarbrKE2eSGeLkKRAjV7zZxpd4fLpUZ9Q3zmwU9oU8\n6uGgWvGkRk5pqIutTmsQsblyZSEqpqLcEdrYa7tOtuoSCJk/U2CK6VrbZ7opYeH32s4bbLl0KRF/\n+Jo4VqxdwxBLpUuxTefAEmG8mQ5q4YCWD3SLjSiVlyuqORlKLC+LYx423yijzZPqcpCMHiWc3aHu\nC5mSxcsFT/lQrHwzTAbZEm3RNYgg1XNWP6vFKLBa/1LP3dXmkPAtfI7duNS1V1vDLZIo+w54skfG\nDp3kixUrX4wCE8wsVUxRmCu1XSdNHbFOb/u1cvS6ZvNbddHAaXWdi4qpKFFulmEWqeOC/VqFeTsV\n8az3tLLf+56x7zq/nJoummCmKq6ZaUJE1+ppnVb2W2xYmJDq7UtveTGwRJjgE11sNd+oEscUJUpl\nIF2KY9d9WZXFCY3NNUZ3m1yW6pSHLDTCo76wxNAK7RNX2bl+Qve+OFNNkyTLNVV8YqJsScEErChh\n/DGfB0taJVHPWTkSykzCLm3JrSLpZZ3z6jiopVUG6GazdCml9s/78ypBQShS9VEgLG8kQ4qjHjbG\nXH2ssfYGE88zGjh/i70B71WiYirKbedhRy3xeIkh5ee8o4293vRSsaWKJFmquupjE4OmnWXRw3oD\nrbRDx2D2VySkVhoYhNSLhNQMk+SUU/YbJcr9xEmNDLZc1ZAAOKKZMeZKvIO+SpWN3dp52wsSZZti\nupSQH9QFtc0x1jVVrdUnLALzVVmrj3Qpt3ye69muk24262Sb9Xqq7UIg2k5obIhlJpjpYxNLTUQv\nJMZ+rYw3q8zrHdHUJ55U35kSBdX9SlRMRbmtjLDABj3s0r5YBOh5b2ttnze8UizknSrNAKt8ZHK5\nSxLdbNLdJvu1MsMk59WRISVMSG30SBCVauqIGSbZpX2prWSiRLnXOaGRPdoabNlXqi6LEikxDmgl\nVp63vBhsrS7DK/7olIbmGx1RYczd4JJaYJjFFhlugZF6+1ILBxzU0iLDPekTk8ww3RTn1b2l611V\nzQGtgobbBWLCjI/X6qOXdVrbG7YSUdmJiqkot40RFuhhg3c9V0xIveAtLR3wR18rZuJWXbrnvAvl\nCqkuthhqid3a2aS7jNCsboil+lhrhUFhQmqy6WpIc0yTYtWEUaJUJmq74DGfO63BTb92jLmmm6KP\ntWq7cBtGd/+RLy5s0pcQcqHqGuojej3t7dTfZ8HP6/QKeicOtELbMtzBP/B0hRcEbNBDTZekumyH\nTpJkqRbKzDqjgRkmecqHpprmXc8FAqwkkmR5zjve9XyZ19yjrbrOFXt/XVRbghzVZdz6jd1DRMVU\nlNtGHectMrxYgmyhkDroD77umCZh+6q6YpIZPjax3CW4zrYaYaHd2llucOAcPNgyfay10kAb9AgT\ncvWd8YGnZVSwy3CUKHeac+r60FMyb2iNVB7zjDbZR572gYVGWKNvmVVdUUomR2KooCXREz41x1gU\nmnOOMddhzXymv57WG2axR0O9Pzd6xGzjSjznVNO86C1veKVCndDTpZa5fHhOPe97xnPelVBGC5kc\nCd70kpe8Wa6guqqaS2qW2HtwpYEGWBVyT78/olNRMRXltjDaXC0ctFafsOq9F7ylhYP+4GuOa8x1\nxplJMn3T78TKLzUZ8nqqumqvNpYY6pqq+lulu02qy7DCIOv1DBNST5umjvPOqRuNSkWp9GRLiuhz\nciOX1PKhpyTIkaZGue1CopRObRd0tMM8o0Fre40z22HNzDPaVdUs9bg11+UNZaherDdoEW96ySve\n8A2/91vfusE89PZyUW05EjznXX/0tVKiYzGOaOpPXvakT77ytdKlSpAT9EO9H4iKqSi3hRTp5hrj\niKZh22u56I8hIXVjvlKMAkmy/NpflHv+zraq6ZKFRgQPnKqu2qqLzbqFzPH+LOKeNk1be0Ih7Ogs\nPMqDTdRXqmKIl6uqq0ElZJIsRz1sjicCF/NrqkbsaH5JLb/3DbHyi5l6ViQLjTDcItdUCWsU/67n\nfM0fA4+tkigQ66Jaakjzkj9508u3bZyViaiYilLhjAm5mG/WLWzW+7I31HLRZanFhFS8HK963S/9\nVdA/rzQ62m6sT23WLRBSA6x0RTVr9Sk2037KB9rZ7V3POaR5NCoV5Y4z2lydbA/b9o7ng/YuUSof\n9ZzxuKXe90zY9myJt9QO5nZaVAyxzDVVbNZdghxTTPeBp4NK6gwp8sT5pt/5lb8MclBvJEN1f/D1\nW4pO3W9ES5miVDjJMs02zr7rZjwve8Niw/wff+tyKQ+Lqq6WK6Ta22mij+3S3iLDQT+fGWx5yKE3\nXEhN8aH2dnnXcw5oGRVSUe44o8zTyzqLDfOv/jr4N8JC/8mP1C4hpyTKvU+sfEmygglda3tNNBe/\nsAAAIABJREFUMPMuj6p0Vhhki64S5Bhjjv1aOaKpZ70XtJiB3/mmbIle84tSmy4XiP1KbW8GWxa0\nm5njCa3t06aMZPzKRFRMRbktZEsMEy6JsuVICOUKxIQd+3f+2ff9xP/1H8o8Zxt7POVDO3Uwy3i5\nEjzqc0MtCfr9Xc9k03W0w3uetV+rqA1ClLtCghyfGmuzbrIkB//e9oJLavqOf1PDpbs9zCi3QEv7\nPes9+7Q2qwyH8LtJrgTzjFbPWac0tEVX00x1RFMveVOTkJlotiS/8JrsYp0qbp14ucESYq4EsfLL\nXFKsTESX+aJUIAXGm2Wf1nbqGPFr4uT5H/6+3ONi5dupQ8h9t0Afa4y0wAqDrDA47NjJPtLZNu96\n7r6pFqn8FJS49ft+ElYmnS/WP/uvFX6dPxNTzv6KY7S5Tmhkox7F9uWJ92t/6a/8wnf9DPwff1tG\ndd6dG3eU8igQo0BB6G8So8BebXxg6l0eV9nkixMTek7nSLBNF2970Uv+JEaBws9OjDzxCsT4gR/7\nX35YQguwyCgI3rOF572Rj0wx1ftyxVf653RUTEWpMMaY65gmtuoatj1WnvxSokJ/53/47/5bOWcu\n0MZeU02zTWcx8vW0Xm0Xir02Vp7xZuloh2mm2qvtrdxSlAoiVp7nvKuFg9c9YP/Mj/0gyDP5e/8k\nTq68m3g8xcgXG+psP8gKA6wq9p6Lle99z9ivlTxx7hVx8kuvge/6F//B/y3xmMtS/dJfKRATXaq+\nB6jrnCd94tf+UtGEsLIwx9ig116MfAVivellX/d784wO8vj+xfd8z0/Eyw3Z1Nz852W9Xvr6wggL\nLTLc4lBqxv1IVExFue287E/mGe3MDeaCSRGUxcbI18p+z3jfdp3MMFk3m4w2r9iyXrwcY0KJvh+Z\nfF1PqUgorCQsEBPt1VfBxMsx0ceaOOZPXi5m0nojORL8wI/9yA+L7YuRH3q4/3mmHCtPT+sNtSTY\ntsBIa0pY9p1qmjj5fucbEfe0u1P8zL8vdV+qy37gx9LU8LpXv3KkIEpFUCBBTrAM1sxhU02zI+Jo\n/N1ntvHGmylfrJ06iJMnV3yxCchPfd8P/U8/8p9LnARFQp44fayVLfG+duqPiqkoFUKiLPli5d7w\nlkp2TbbEUCQgnO/5aZmGg7HytHTAs96zUwefeFI1GZJk2aS7RUYExybINtICnWw304SgCWmyayXO\nGq+qWiyH6t/5f2Ll+0UoUkDhktOtVOY8yCTKkiDHWJ/aoqsPPV3smCquBhGlIn7sB/6T/62qK8UK\nEpo4ZohlQTl2vFw9rVPHef/bfy5zPJ8aK15ume7TZRErTxXXSt2fIyFMiBfdf5Is8XJuyc/pslS/\n9hde9bpv+L03vFKhHkQl/R0QGEfGyA/6+VUUmZJvKvp4r1DTJZPM8EuvBe+Jg1r4yJQ7Oo6iv0me\nuK/0XphlgqnelyXJYz63Rl9n1cOf3w9XyikIioR1egd9VhNk37cTgcr3To5yTzLYchfUDlviq+qK\nqaZZYmgxc8FUacEXRGnUc9Yz3rdLe9M9paX9QZPNbToHxyXJNNQSnWw3xxO26RLsm2SGRk6EibwU\n6X7ub27w2onxL/691/zCq14Ptl5Q20wT5IqvUEfi+51k14wxV2v7ZEu0U4digqK6dK96XYyCYEZc\nQ5p/9veuquplf/K2F0osFY+Xo5or2tltqCXFopQ3UtUVk33kc4/JEydZZmj5uawls4KgISyFHmll\nlYLv0j5sHL2s09IBLR2QLdEWXW/pi+Si2v7g6172J896zx99/SufC6rJEC8XhZ+T6++1iD/6Ggor\nbV/1eqmVuF+FBUY6oZEM1e+qqCr6PaRLuekl1IecNMV020OTtztJHee95peOauL3vnlL57qimqd9\n4Pe+IV2KqaZJkR6R518kZEkywCpXVfWZAWH7rqoqUfZNL+3fa1TekUe5Z6jqinyxxaJME8xU06US\n28J822/83N+U+uGJk6umS05p6ENPS5DtrHrFlkKSXTPEMp1st8BIW3Qrdq6PTA58VOCv/T+1XJQu\nJSw6lSuh2PnrOutr/uiKamaYhMIHQ2n+K/cS1aWHuofd+WXLwZZr6YBZxtulgzHmSFPDEc3UcEm8\nXM97R75Yr3vVVdXUdt5rfiFfnJ/5rsaOe9Xrfur7KHxPFH3hN3bcOLPBGn0tNbTUsVSX7nFL1ZAm\nR4LpnjLFhy6p6VxoJg61XAiLzhT58BRxXp0yl+I62+pFbwU/r9YvOH6YRTrbZpvOtySozqnnLS8a\nYpk6zsmWeNO+RCkuS5RtkhmquSJXfKiysHg/tqLPygW1HdbMn7zylcd+IxN8YqglFhjpgtrB9gtq\n37HK21RpnvG+qq5600suqFPm8THypbocZvx7TBMfh54Nd4pYeVKku6SGBDlf6b1QXbpE2ShMBJ9s\numquGGaxDz1VrrFrnjjpUtRwSVo5Rsjr9FbNFVVdlexaWCRttvGe97arqjqkRcTjv9eIiqkot0xf\na1xVNSwqVcMlSbLMNKGYMWFdZ51Xp9Q1+Fh5Wttniul26iBBtvZ2aey4ecYEx1Vx1UArdbLdYsNs\n8kiJ56vlomPXhZfPq+Mlb/qJ75foaxUrTy0XnVfXOfW851mTzPC0DyTJck5dC41wTZXbarB3qwy1\nxAEtwyJ1d4Lq0lV11TJD7NJBqjRLDFXFNfWdNskMCXLkSPC2F1xVTT1nfMtvQ8sMBZo45uv+4GDo\n4RonV3u7jDfLVl0c1twv/HW5Y0lx2Vif2qqLWSYE26d7Kvj/Os6Jk+fr/hAylC18X2ZLjOgaRWzT\npdTf9WLDDbdQRzuc9JCLan1lUXVGAysM8oK3palhrjEyJUfkal7DJRN9rIY02RK967mwXMY/fzYL\nxcxHJnvJmzf1e4iUmZ5EYS5bfWdC1z/nLS86rNkdEVSDrFDXOW94JSIh1dxh4830c9+97WMri2qu\n6GOtt7zoaR943jvOq+MdL0T0+lRpBlqpuowg9+sjU0zxoU+Njei9dDn03nvB2971nIvXCeKSuKKa\n3r50WWqxfEYKn9PHNa60y4BRMRXltjDSAinSi/Wgqu+0l7zp33ynxA9NrDxt7A2E1AyTNXNIV1u8\n7cWwY7vYqrNtlnq8xNJzCoXTCAvBVl3UctFygzVyIjimkeNhr6nqqglmes+zKPxS/ZXvgGYOGWGh\nZ73nlIbmG1XurOxuUtuF4P7OqXtHolR9rdHUETtDBQDDLXJKQ/WcVc9ZeeJ86Cnn1QUNnfSKN5xV\nz+teFSs/EFJveUmcXB3sNN4s23Q2OwIfn1RpqsvQ2TbVZbhWQk5JPWckyPGs92So7rw6/uDrt22p\nYZERRlhgtHnFGoCf1iC47kNOiFHghMalnuuUh0z3lDHmeMb7jmkSsgwppLp0qS4HP19SU6Js482S\nIt10Uxy/ock4vOIN/+qvg8/tq153SPObus9qMsTJi7hlzfW5Rs9614ve8pYXZUss83dQEcw2Xl3n\nIjiyQHOHvOBtB7RU3+mgpcq50Pv4TpIu1fuh59OvfMdDTuhjrdrOlysKKXRCP6ClT0MNl+s4J12K\n6Z5S3+ngmXGqnN6PuSELhWe87wNPB5/pklind4lLyRQ+p0eZ76x691xhSKRExVSUW6KGSwrElJhL\nscDIUDPjPzPVNJfULNUqoaqrnvKhHTqaYbJEWWpIc0b9sOOqS1fbBVt0tUHPUse3wCgIBFVLB1SX\n4bw6QVL8MIuLJalfUNtIC0Jr+Xk+MtlpDR3W3Ou+pbW9RpvnUV+YH2pyei/SxVYtHQDzjHbqui/w\n20ENl+SLtdCIoJrynLra2mOhESV+gT/vHWfV8ycvKxArRp4cCd7xvKYOS3U5iEhFIqSgty8N8JnZ\nxgbvgetp4JQBVkmR7oLa3vfMHSk0WGgkCv8uXWwFjZzwC69JU1MTR73iDcc1ttgwR2/obXk9xzX2\num9p5pAOdoZ9kT5iox42SAsJml3aa2W/FOk+8WSJf4eSyBN300t7nWyX6nJYgUikvOc5z3jPEMs0\ndSQC25Rb57QGarsgXq4TGpVYKBAv1wvetkdbczxhjLn2aqOn9X7n1ds+xvI4qZHtOhlhYSCyboYn\nzLHMEEc1NcV0ORLkiveu51BYsVjSEtwltbzvGU/7wFiffuVl4PlGa+D0V3rtvUJUTEW5JbrZLE+c\n7dclhJfHB54usfokVp4mjtmuk49NkihLd5t0sNMboUTYItrao71dloeZdZbM9YLqD74eLGs0c8gR\nTcts1FnLBVNMN9HHPvFkIEb2aeNzaRHOau8eRUnRdyJ5vqaLhljmrHpBNSWsMPgGU9VCHnZEgpxQ\nzsnEYl9iSbK85E2HNbspIUWhGL5USmSkkeMm+thHJt92cVkSRYKqiNf8q2YOy3DeVNNC78mX/J3/\nEYGZLYc1l+qy/j4LljIvqmWJocHS+zizpLpstnFlCrS7TVOHfegpeeL9nX/W0n4HtLqt19ysm0lm\nuKaKNfq6psoNPTwLtHBQtkTTPCNejn1aG22eTbrf1rHdLaabEizbHdDSy/7kLS+W+Le4oI5PjTXW\npxo6eVOfqfpOy1A9SLdo7Lgz6ldKe5qomIrylanlgjrOFwtzN3RSuhQZN3yBN3NIgpwSzxUjX0c7\njLTAT0JtZWqFvpzX6RV2bKo0DZy2S/tSl/duZIFRmjkctu1pH/i5vynzg3tRbTNMMsJCPWwI6zeY\nJCsoJb4XOaWh/j5TIMYafW+roKrlgsGWa+y43dqVe3wzh0wyw3l1fODpsL9BgRj7tdLaPldV9ZaX\nbno8G/UQo0CyTG3tDtvXxl4X1C7TluNOclALHe0AhzT3gae/kn1DDWnqO+2MBmG5W/WdVtMln+lf\nrsfX7aCeM2q5WOYxhzSXLclkH/mtb7miuj3aetFb3vVchZjvFv0ebmSYxUGBSVG0MllmUAG8R1vP\nei+o2KsuwyjzbfTIPR2VvhVaOChdilwJ3vesqd73grf9k38o8fhMyXIkGGpJxHlbMMAqO3S0SwdH\nPWyw5Q5rdlcmObdKVExF+cp0sNNDTga5MUU85nO7tA/Ld2jhgAlmOqN+idV9cfJM9HEw00uUpbHj\n1ulliWFhx7ZwUBt7rTDopsfcyn6X1JQtyW7ttLUnZLNQuiHdeXW95zkNnDLQymD7AS3LXGK826zV\nV4zCRtBHNL2t7Rra2a2x45Z6vNxWQs0dNMFMZ9XzsYnFopQFYuzWzgQzb3rmX9fZIJk5U7JaLupq\nS9gxyw129oZl47vJHGOLbetqixgFOtouV7w95QjUNDVUcS1wmr7eiqSHDaq4Fiz5lUYbe+zXqtQl\n+K9CPWd0tk2dMpo5t3TASgOlhSrTivjAVE/5wFTTIorQlUdP6zVxzMUbqhbPqmexYdLUDHKIxpsp\nSZaOdvjQU7bpHJaTdlnqfSWkDmsWNC7er5VR5turjfTQs3qaZ/yDf9TezhLNkM+pZ5bx2t0wcbmR\nM+qrIU0tF1xU23GN1ZCmuvSgIreREy6oXemiU1ExFeWWKJpVULh8UjeUyHjjg3uYxc6ob5YJpeam\nZEsMlnJSpOvty1C7huIc0LLU6r3S2KuNgVbarZ0LkswywTizxMov0VLhRk6HbBoqE2v0VaCwSuqk\nh25rdGqnDmHLezfS3EGpLhtkhbPqmW1cieOJlW+CmTboUaLQKIk6zmnsuLb2qOO806Gl3E26V8py\n6w89baIZOtipjb3meEKWJLu1L/H4I5pZYKQRFupqi4U3JA6v19PhchLJnzCnwt3V6zrnqIfLtK4Y\nbJkGTmvgtHi5OtphvZ7yQ4UKT/pEV5tR+Iy4uc4Gf+aERnboWO7vAcFy6QSfeMqHPrpOSGVLtFs7\nya6FRRDT1Ijo3DfSwgGnNSixsvh2cdTDYfYOKwzWKhQJXmCUAjFa22eLrtrbZbtOtupiiulmmFTi\n5/ys+jIla+ZQqb+HrbrqYotOttuukzUeNdX7zqtjnxRLDfVtv3ZE0zDbkspAVExFqTC62ayB0xYa\nUWIVzmLDii39FVKgu03BT4mydLK9wse3zOPa26WT7b7wqJyQePt7/xSRmKqsnFNXK/sly7wtYqqu\ns5o4FuYVVBL9rFYgxiHNrTSwVFuJAjHW6RVmg1EWdZwzyAoNnHZME0s9Xm4k516mu4026e5jk8TL\n+f/Zu+8oqet7/+OP2ULZZekdEaRIUQGlSpGiAhYUa2wYNUajqTfm3uQmv/v7nXN/95fcm2KKicYS\njaJRsSGKIlKlS5GigIJIkd4Xdpdly/z+2NnJzu7O7mxfdJ7ncA47853v97OzM9/v+/sur5eJZulh\nq472RA2mKOidWqd/qaWsuiIWw/NCi5G+PpGtoXb2u9BH1rhIUIK3THKldyTL0cNWCfLLDNqjsa4S\n/U0zXCso4BozwqXTTKnmukxTx51tJwrsfvIkxhxMdfWFlo6AYZb7zLmOaGmjvtWqbB+N0toj2tun\ntUPW6e994/2Lh23W29l2hgaCrpMvwVVmRn3/29nvImvKfB826OdKM3WxI6qcQl8bLTfsjMpOxYOp\nOJWinX2S5JaY1lunf4lJoT422qFLqePpMMSHJnjPMhdLdtrFlhlqhSVGVPu6P3a+EZZYp3/EHfhg\nH1ppSLUfrz4wyCprXFTm2HJVaCzLSU18WcaEWA9bNHfMO64sN1MUlFBmINXUcb1tDv98lt3a2h/W\ntTrTudI74fJmrmRvm6Sp4+7zhPNtKFc3rL19zrLLlzrrbKdTGpWYhi2Ndfo738dWGRSWaVhtoIus\njqmc3coh3X0eukiWFAAtj3Hmec6duvvcFd611gB5EuRL9LZJGsh2hXeNNb9SwVRlecskOZINsaLE\nc4Xv61EtSj2/tbc3HHAVpb91MqQ6oqVtukmSa5x5mjsWccO5yqAKqbK3cFR3W31epLczVpYY6due\nsE23iIDuXVeG//+OK/W1MRTwV6wyEI0tekZkyT52vpEW2+CCeDAV56tPFzs0cDqmxtChVphtfKmZ\niKGWm+A9S4ww12WaOGGY5RYZZWkpwVQrh/SwVXYlv2SLjTLAWgOttsgouZItc7ErvPuVDaZqml3O\nLnVCrJvPw+POA6x1UJty+3YoGEYYZnnU51s6orvPw716JzSxUZ+vRCBVENQPLvF4YWlppMVlBlP7\ntNfXRj1t8aXOevlUuqYxafcsMNZDfhsKYgouDe+73E/8ttxgqpVDRluorQM+192OKjS6N5VupcEl\nerdOa2iBMb7tSf2sq8VscsBs411qbtQtDmkdke1pZ59utulqu8ay7Cr2/m8PZRGLCqYe1UJT6RFa\nTMMst8zFMQmYHtXCUS1cZg5UKqAqzmArLTYyHNDlSbTWAGPNr1IwVaDVdUBrB0tkyZYaEVGpOFOI\nB1NxapTzbYgq1EaBoOMio8w3TpIcQ61wSiNLjZDqpJ62hL+0LR02xgJtHDTf2EqvaZVBxlhghaFy\nJZvrMvkSjLC4hG9UnEiaOVaioZsCzaPCsemuvtDZLgnyw/Ysm/W2Tv8yVZKHWxLW+yr0jCuNTCkW\nGFOli2l/ayNELaORI9lyF1f6OBVhqOUuNdev/ZviAxGnNLbECDebVuY+djnbPON0s80oH+hsV8y+\ncUOssMZFpZqSR6O5oy6wQUDQUS184rwyS5GFnOfjcJmrkEIT6cKyX2lka2iTPi62rFZL8/kSS0ha\nlEWiPN19roHT5hsbYWcVjdJUwX/mV5YbJhjDMQ9rba5LjTPP+T6uVDD1kQvD5sYrDDXGAgnyLTBG\nwW1OogXGRGSGK8NmfZzrM2MsMN/YGsua1ybxYCpOhelgj8ayfF5Ec6S7rc7yZQnF3AHW2qZbmQap\n842TIM9Y8w202lyXSpFhnHnaOhAOpgoVtOcZV6WemOUuNsxyIy0216XyJJlvrJ/75VcymNrgAmf5\n0iGtS/Vfi4U06QZZJShQ4mLbyW6NZdmmu66+MM48pzQyz7iYRpyHW6KhbCMs8YFL5Esos2G5ovSx\nUXv7Ih7LkxjVzqgoyXKMNa9Cx9uhi226625rqSWeaBRmIao6TVeYJexqu616lFl+LcrFlnnKvRF6\nX5f4IOrUbDPHjDNPB3vNMy6iP6qznXrYGvVY5/nELp0j+uyWG1ZuxvmUxuYZZ7CVxprnmOYxy6PU\nJnt0Ms84DWWHA6ketuhsV5mv+9CQcF/jSItKiAmXxyFtzDdWXxud69MKnydXFcmKLjVCvgSXmmuh\n0RHfl4ayDbOs1BuNNg7q65NyS7Gb9TbOPG0cjAdTcb5+dLBHL5/aoUvE3VY32xzXrEQPFQW9GKUZ\nA481L5y5SJBvsJXeM8Fqg8LlvPdDKsqtHAqXiqqjuXiRUcabbYEx4ZJGgnxjzLegClmv+sgmfV3o\nI60d8r7LY7a/aeiUS3wA8iXIlOK4ZiVOku3s01iWrr7QxQ6b9LFd1zIDqaGWhzNDGVKd0shcl1rm\nYmXJVMRKT5/pajvoYat92kcE+htcEJNZdZIcg62s0LE726W7z53WoEJaVguM8aEhFeqRiUa00mtF\nGW5pqbIETR13mTk62GuOy8Il1k6+1NdGHe2RLyFClw3O97GD2lhtoI36VsqKKUuKVQbpb13YV64+\nUnQIp4ctxprvuGbhkl9/6+zWKazTN9QKTaWbbbwsKYZZ7gOXxBT0F+Wgto7ZY6z5AoIxZQqjsdzF\nxpof8VhBtnaY0RZKkB/RjnFIa186S2+byw2mPtPL+T4u9bmlhrvIGouNLGFJVl+JB1NxKkQbBzVx\nstS09RfOiegBGGiVbbqVOuV1qTkutszsIqnzXElWFxHozJQS7g9p7pgWjoaDq6qy2iBjzTfebDNd\nJShgjstc4oOvXDBFQWmz0C+xvAtYotywlU5PWyw0WobUqCfH/drr6gtdbfeZc8v0UxtihVYOO88n\nVhvopCbWGlDlcfyz7YiYAM2QGm5qXWWQz3WPybOsOAU9dcMr9JoO9jjLl3bpXC/FBwdaZYculR49\nT5NuvNk62Os9E3yml/b2utBHTmnkmOaOaW6PjiWGUfZrF+rtKXvyszwypdqob5XLTVUhTbqRFjui\nZaklukKKBlILjAmfI8/ypc16h/tOj2tmolkmeE+2hhYZZaXBlTJ8LgzSxlgAlQqoxppncShTf4V3\nwzIluZItMUJQwEiLBQTDGf1jWvhUL5eZ4wLrwwr8ZXGRNQ6FTOULWetC3/cnHxpyxgRTNW/LHecr\nTy+bZWtYwhC1py32aV9qBuBCH5ltvA9LafpuLNNgK8NWMS0d1s02s42vlqbKQt4zQX/rTPIWoXH8\nryqf6SVdUyMt1qyM0fmAfFd72wBr7dLZu66w0pBy7zLb2ydBfrmB1EiLndbAPOMsc7GVhlQ5kOps\np0vNDetL7dfOp3pZaUj4X2UCqcqyV0crDanTQKqHLXpGUVHvaUtM/WKlkeqkK7yroz1mmegzvbSz\nz+Xe19Een+sefs9L8//bpnuVA6lCmjhZp8FUriTZGpa5hu626mS31QZGBFIUBPldbdfaQbDRed51\nhZ3OdoENNrig0lnKQ9pYaLSVBmtnfwkXgFgYYK0kud5xpYFWhx9PdtpoCy1zsTkukyvJCIvDz+/V\nwXZdneOLmI5TIKJc8hwwzzijLJLsdIXXXhfEg6k4VaajPXIkR6hKD7FCB3vLfN1aA0J3XUFXmWlm\n6M6ngdO6+zxcOkhzQlsHqt2ja4N+ppusf0gQME+i2cab6N1qPU5N0tUXJntD3xh0uRYbqbVDrjJT\nWpSL6WTTne9jb7rWGgNj8lw8x7awaW80hlpuhCXWGmCZi60xsEp6Ou3sM9kbJnvD5d6XK8lcl1pj\noDUGRiiAfx3pYG+537/ymOwNb7o2/HNjma72to72eMeV4YxKM8c1lG228XViV1NXZEnxqV5aO2S4\nJSWe726rS80VELTGwIhACr7QTWuHXOFdLUMK8Zv01cphc1xW6YnlQg5pY42B8iQaZ16lAioK9Lmm\nm2yyN0wyQ74Eu3VyWkNrDLRDlwjl8+Oa266rLnboX85U3iqD5EgODx8U5RPn6+XTModR6hPxMl+c\nGqGLHdbrF1aiLsqVZmooO/zzjV51rs+8abJGsoyxwKxasmr4xPmu8wYK9I0KmyJjFYysKzrbaagV\njmohKGCs+fra6GPnR5UI2Ka7t13tGjM0cqqEVMUNXtXXRq+4KSaZgcI1tHTECWkhW56SDLXccEut\n099yw6qs9NzWfld6R4L8UI9VgbFxfSypVScnNbHCUJeaY67LqnXfE8yywJiIHq9+1pvuuvDPDZzW\nyW7TTQ7f2LSzzwhLHNO8Xhso1xRHtLTKIBdbBhH9Q60dclyzMqcpFxvpKjOlyghnT79wju26hns5\no5Em3QTvRTy2R8cSkjKb9dbBXuPMExSolM/hBv3kS3C91zWULUtjm/SVJt3l3i+x/U5n+1z3cM9l\nNMHUnboYZrk0J874G6B4MBWnxtilc6mK2+f6zAzXhI1E+9roH25DwUh8V9u9aXKtrvUWL3rJrU5r\n4D0TTDIjbClRX2hrv3GhybKjWlivXzhFXuhH19EeA6y1yqBSvfi2O8d0k42wRCOnvOlaV3hXA6et\ncZH1+sV0sj3LLld4V5bGFhjjqBYRmckLrQnfrXawt9oCKTghzRIjnJBmr45V3l9RbjKtwhNUFWWB\nMZUK/E5raLdOESWXonTzuSE+hHCz/S1eBCsN9rkehlvic91LTN32sNVyw6JewBs65RozZGsYDqTa\nOOBqb0ONCOzGQlsH6nRoJEtKuFXhYsucbacvnOOQ1i6yxhY9y/SB3OXssBRBIWV5aDaQ7Xqvh/5/\nWnPHwjeeHeyNWENhH9dhrc0zLlwK31LJ3/UT58mRrIHTrjFDmhMaytZUuunFztfpmoX7rdrbF8r9\nf7WJB1NxYqaL7UZYUkKArjgjLLZd11JHsq/1plSZIUPVf/YDRDuBtHZQf+vMLWZ2XJ18jlE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ebmep8hyZdgkrfkSvKxCyTIM8VUHewt0cxZmMlKlCtBvn/3K3kSHdO8yiftoiTIExA0xVSd7Pa4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\nC32u7RlORTx0ohYDJWljT5Cc3c4u+7Sy2NAgIT1a7h0N4w+wwjKDSq3au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Dgn/xaobGSq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u9m5E3BctMIqfQ/mSIj5vp7S1Ozj+D2gpJKy/lXZpZ71erjYvZgz7tDLSvJgtom06BYnY00wM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MOb7lQqRYkU11qkSNoFiU5dKvHvY54RFvJH31AQTU+lO+En/u2CGNqmRvv6xRb7271pjW6B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\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H2S3dMZUMNV6G6ea72Ipo6GabBvIkudXrEuX5Ql93e1GCfLXt9ZrbEUlEb2DbGfq1TswG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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.io import imread\n", "from skimage import feature\n", "\n", "ct = imread('https://upload.wikimedia.org/wikipedia/commons/5/5f/MRI_EGC_sagittal.png')[-1::-1,:,:]\n", "canny = feature.canny(ct[:,:,0],low_threshold=.1*255,high_threshold=.4*255)*255\n", "\n", "plt.figure(figsize=[10,10])\n", "plt.imshow(canny[-1::-1,:]);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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LZSjzsuvrHdQFn70QTAXBCaytg4k8jiPOSPxRTmW1IVZUKk2Qqv3KRd7TxW5n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\nL4xtokYmGOsC47I+VqTSuR70UGL2kUoPS1zm7tC2j+xjTpauK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c/IkhaoUi3f7a62IqfO\nzPhvUKmwxixlnuoMV4E81Q3KWCb5ddq8PCYu+np3WilCMsR4zeEZvnXHecGQlCbzh50VOBXUl3Xa\nucV3nO4JBbYE2aRP7WWCsfb0qXxVW12+8Bc/9RM3+Lnr/Cktc71OO7e6xnfdIioSZOT28JmxJuS8\n3FilQL5qEdF6azm1s9Y1bqvXc5JUy3eSZ2xR2CA/0p2RpmBqF2SzZprZrEKx2mYFPSzxa3/ypb6B\nP1i8qLpKc+Whot/CxPatKThOZY0OGReQPNUO8o5TTPSGQwL142GmG2GaQluyWh2ks1mzjAtHuebB\nMlP6a9Slw5J83y0KgwtroUr5qj1mTHDRvszdX2tT2Kg8FYoUq1Qlv04drcakk5VGmRwU/qaSr0qR\nSnMdYXojNbVE5fuTXyux0dVu18ymRhOhHe9cl+RQb1Rf3nFwhtbbsV4w1CzPOtGbDg09dql/ecFx\nOQdSXSx3pkeD8zI+xaoKTYgO9rbjUwy8j/ayCsVmG5L1VYttlieqmc3BeRdv/NhU41Loah3c5VsZ\n2/fxkb7meyLRnt8YlCvRXHnGpGe1jiY62SXuCY2lSoG9fSwqzySjG9ydmuQvdTSlREV8YXfjEsr4\ne/k4sJPKhceMdb5xKhXV07Q5tlUaec8Z1Wj6VknyRBWp2GEdgk3B1C7IP1zrF/7sBj8NBT4xEaVZ\nFJC7WO7nrrdFQVD8+H03ed/+XjYM8QzNAd7zguN8Zo/AniK9HbZMi2CG3FKZNYrkkubNV+UA7znV\n0zXuM8I0I0JyG/EgKbWOooWN7nGJRXqGAqrr/cx/+Z3mNvu56zNee34WC5DChMrPQHMNNNcMQ811\nBDje8/b1UchqJp2WypRp+bVQ9yWuVP6Qc13iXvP032FWHqkU2OIwrzva9ESNVOMSE5En6lv+GZLN\n+LpQoVjlVteIxQOpq9xhYUqjdk+LjDDVw84Ogo1KRTYrFhFLTNbiwVGhyiCwaGZTcH0428NaKzXW\nBMTPiTwxP0ho1m0tRSoUq8goSG9uU07Zo7/6id/6b3/14wx1+Kg8mzVTYmMgJ/GJvT3pNCebaLNm\nGRmyhhPLsGdpYaPlugSBVJICVfUK/suVKFKpVYrEQ101fa1saLDe1bagWr7WSp3i6W3mJ1oXTcFU\nEwHlWrjRjzO297bAWR6xQJ+g/fcIrzrRZIclPNCed1zw3DM85sCE8W86/3JZ4GT/S39ypyuD5bqY\nSEi/JEmBLfbzgdM8FWyLe0HFu+Fq67Z6wukhj7zzjXOJe9zk+w1WCC9UqYWNDvCewWZbmxjzfj4I\nuldgrbaKVAbjTA8sr3KnO1xpk+bWaWtnN/IkPvMu20odolZKg6WgUq0bvARUqNIh3jTcNLMNbrSs\nVCqblLjd1c70qFZKcxJjrYkWymqcZGwrXjFMCxuVKG/wrL1YRRBIpdco9bDYMaYEgfX7DlCiXGul\nQZ3McZ43xKygw3a0SfqnSBnc6VuBvtEP3ahNHbpNeaLaWhuS6cg+7s2ONt1gcxCfWCUDvBM8Jybi\nPQfU2ZCwTlvfd5M/pjRFwEqdTTPcWR4JlQB8aD/NbQoZUudC6nmRTiTN8DlPVBulluqase/ePrHZ\ncznXbT3hDBe5N+TbR7yjuSHG47mQXNlorOz2Cl2y3ru2J03BVBN18pU+nnaKA9NaaRuDa/0j+Pcm\nzVznF6HHC2yxrw+NNslKHYPtfSwIZq8blYQea6ks0IdK5wEXuNb/hrZ1tLJOfZ1CW3RMqE319pVB\niQv0TENrLXY+wWRDzQz+3qIg1OGYnN3d6tui8mo0pN1ZWKSXJ51mkDkNDi7O8oheFoG/+36GKW86\neaq1TzEyJp5xGOAtw03zqoGmGVHvceRKmVaecqpL3ON+F9Y5XihJBDCpHO95na0IbiDby7y1TEtD\nzFKqtXcTAU3uxHS0SrmSUCBVYIu21vlK75wylId6I5hobK3IZXtr/cBNluscsh5qrVQzm4PzdIC3\ngkCKuBbea4nM8QkmOyHRcbhQL+u0rTGousn3/TrR8p9OlQIbtdDa+tDkbJPmovK0UFZnUX8b6xTa\n4iyPBHVs6UTluckPUj7rehe63watgs8bf614R2bq91ATG7QKidyu1TZ0TN7jkqzZrYiottYF19wC\nVVoqS0wI4xSrCDQF02mhzCiTfa6fT1N06r7uNAVTuyCdLbcixQqiq6VZPbBqY6MWwayolQ1aK9U1\n0RVUW6aok5VByr2uACaZkTrRs952sGeNDh7b20dGmSxftWmGeyOL71Nb67S3RldLrdYhVL/Q2Yrg\nZvct/7RC5+Dz5InqYoUq+YGNRJ6oMR4Dn+uXs9VIepr/SnfonvieluscLHme7gldLHeHqyzPMtvc\nmajw/9m7z/C47vPM/x8UgijsvffeRJEUKYqkWEWqy2pWsSR3J7GdrOPsbnaz2c31T3Y3ye7lstnE\n2dixFUu2erE6JbGKFIskFrE3sPcCkiAIkCDK/8XMHM/BzAADgF34viExM5g5mJlzzn2e3/Pcd3Pt\noiGpb7s7aTXxYtLaaY960TEdgu9YL3tNtdinbrKwRrTRpaBCtiqZHvZyQt9WrrKEWJMhthhkW8Lz\nvO7+wMT2crHUlJSxK+2dSDh5H9E5WHrOUulbfplQjezkqDu9G4qIiaeFkuCzKnDWElMCIfOQlw23\nqVF/E3R21PeivlPnNA/cwZ/wG60VK6lxjIrnfbdHv8ORtoHX3B+KrzmqU6himqFaZ4cT9s0juvjU\nTR7yitfdH/jXbTJcS2fMMs98M0NLhK2dCh0jJ1quo2MqZXnBo2k5xRdr7We+p73jwRJpc+cD77oh\ntuppn+IUFzutnbbcRDuiQezNnfe6+9PyPst1zkNeCSpBXRxyp3dDAwEjrPeg15yVH9qGlord5kMj\nbFQYl46RjI6O1isv8krTJKa+gDzpWf/o+0G/wDf90tO+HooSqIuNRtgY7QeaboFbLXFzGlnWj3ox\n6e3VMkKTbkQO9Hd4zzqjQkIKthiqlWKtFIeEFHwUneiaboHhNppmkXlmBT42ETPR5xzQTZVMB3UL\nHQhaOOPP/NhJbYNR4YvNIV38xhOh6I5v+KVv+qVnPKVSViiw92pin17ecJ97vGWqxd50X4Oe55Au\n9cqE6+i4P/BzRKqYnxnXYJfr+lKstec9FjItzY0u5fRXaJzPQlEfq425ZN+di8n9fofIZxGrSvzG\nE8FyYI9oBTEZh3XxrruCn/Od1U6RNk65wbqQKWTNfTuezo4EPTpHdUoQAD1r2QYiQuoz44KJ2jFW\nucfbPndDaKmxJsd1CETNTT4Nbu/qkJd82Q4DAlF5WBdf9euEynn8Ns72QYJ1ymifO611UDlt46Q7\nvKe9E0FO3ly31+vYG88JHYLvWQ/7zY5W24iYCy8zKenvTbbEINsMsk0Hx1NW8hvDWfk+Nik0fDDe\nJ3rYb58ezirQzgn5Sh3XIaEK9qgXnNY6qVdfXeQplacsyE+8HDSJqSbs18OTnvX3/lPKx5TKd1aB\nDo41aCnqoK5BvwKRysJ+PYIdpUK253wl4feO6Rg6YNeHhWZYiCc9Y4zVwesXaadIOy96JFTmjueC\n7FpPAOnQ0dGEWJ5YVe5lDydkoD3t6570rFnmaafIj/1Zo17/UrJHH4tM0y+F7UVdHNDNyx6uc5kw\nS0XSE/o+PS+bkIpxUjtvuk9z53R1SA/73WyFozpZ5paUE2tXOwd085Ivh5apetstQ7WvRoN3s1Tq\nE9dTU7MfKN9ZN1thiqX1fv34oZKf+EGNXsZqfxXnQ3dBtv1RO4nmzmvrpNXGJLUmqY2OjlpqclJr\nkge94hEvetEjUTPLDP/max7xop72pu1cf1prRdpq41Tw3k2wUlsnveOuek7P1c1+PRLsIlKx1JSg\nPWGmecZapatDslQ6oHu9phDL5YSimfKd1dEx2wxKuk+sNMFKN4MpPjLBSstNtMrYBEH1gkdTHqNr\no7c9etp3Ga1bmsRUEyJXovGRAc2UB27KZfIc0MN+PbVSbLKlDRo9fsddoauvf+9/e87jF3WMtb3j\n2kbL3Id1CZXW57o97YNghWwbDU/ZwNnCGV0cdlrrIEE+RgfHgiWVST7Wpx6u1NUyPeOr8pT6o7js\nreuRdJYHM6O5a7HqydVCJ0d91TPOyrfCzfU2CL0a6OaAPGX26eE1DyQMYzzhN0GuJOQ5FwirGHvi\n9qc+djdISNWXswoC37nu9ptlXsgQsqVinaIxsW2dNMD24P/xPT3TLLLW6NBwSoxXPeQBr3rUC/6H\n/6JKlkrZXvOA7/pZ2hc5WwzVTpHbzAuqdEd19L45F11INYaYEB1gh+kWmmeW01rbpW/CtGOGKr3t\nsTtuqbpIe3PjjGJ72etGaxKma9s5oUpm6HNY4lZdHTLMJjsMuGj2I1eCJjH1BaO/HUkniTJVGWIz\nIv0Fd3oPEUuAZGaVqTikS2hn6WXvZQvBjJlrtnXKChPsidoZ1GwETkWGKoNtVSE7qZAqUKKnfXrZ\na6IVCvWLRtf8nm4OBlftZfIUaxk0Yu7RKyjt97TPGS2TNr1WyrJbH/0U2llHX8G1QDcHFGuVMFpe\nF82dd7e3bTYEkV6NvtEE9xZKdLf/ople1pez8q004ZoUUjDQdi2UeNO9aTXUN5bOjgTHl3Qb0Afb\nUu/g5b52GWybzYbIUG2M1cF9J7XVxSFtnErooarJa1HzzSG22GR4rY8tlW+zIaHqTE2O6uiE9lYZ\nqzDap3Q1ERNUt/lAf4X6KzTX7dYZFRJU2Src462UiQUFSqjoU1sAACAASURBVHR3wG59rKgRIzTS\neuVybI3uz/EsND3Uj9bXzkblK14JmsTUF4y7vS3XecNsClyMI2ZnFzzipYTHFzhrRNTmoLsDCfd3\ndFQnRx3SxXEdrDbGbn2D+ydbEky+1Zdzch3SNXj9Yq3sjQqktop0dcjZuKWyz43WzUHjfepmK0M9\nXP3srDN7LEO1gbY7J9eOaFZVjAIlbrbCKOvs0dv6aL/YsBqNtOuMCi0/Pewlw6InkflmBtWxP/YP\nmjsf+HZF/KgiY8jlmvvAbN/wq9AEz7XKzVYo0SI42aQrbokI0lh4a1cHg+nHbg65w3tWuNlJbS+a\nqBpmo02GSWVTkatMF4evuYrUQd20UBJMnS02Td8ao/AxhtpUbxFzWmv79EjZ3zTWamPjhE0ythkY\nHJOG2uRBrwbZbjGauRAcD9rWCApv5bQe9ivUL+WE4T3eNMYaRJaCDuqWctpuk2Ee9GqdYuqYTgkB\nw20V6e6ALJXWG2Gj4UlFxNXGh2YjMu14h/dkqLbW6DrtS/KV6qdQF4dNsiw4Psbo4JhOjtYqOOO5\nw3vR5cb6eaQVKNHBccVahTzRLgdNYuoLxBCbA7Vfm/llPHnKgr6Ytk46XWM5YKjNhtjqA7clXR9f\naooBdhhkmyLtQmXcUdZZZWxK08rT2lhuoimWaKXYBc0CMdVKsQ6Oh8RUbUyz2FaDgspQMiplpVxj\n7+C4Udb52KSE/L+G0tueYEx+o+GXzNPlaqCLw4FjcmOck0sUBKGsREbuM1SbZ5b9F+Hg+SW/i4qp\n5LR10ggb6sx6vNpYbawveV0P+22qxV9tuA3u84YNRiRt/M11zlBbEm4/oIcPzA5Vgro4nBCaWxvv\nmxP0MN3rzQQhRaQyEjse1exH7GG/m3xmVWKUbFImWSZDtWVuSSqo3nRfve1g2jipj91aKNFOkR0G\nWBI1Nr6WeD8aWn+H96w3sk4x1c4JD0annZMx2FZtnbTGjaHbe9udctL0fXPqvezXyVETLfecrzS4\nqb+hNImpLwjDohYD+bXYFiTjuA7BtNYwGxPGvQ/q5mAatgpTfWSTYaGd4y7vBiGnMS5oForEiDX9\n9rfDOJ8Ft+/Rx3oj6+VZs9jURk3IHdWpXkKqr52KtPNpdCmwRAtDbVLgrObOe9+cRplAXo10c0A3\nB0O3tVNkqcm2GApu8bE+dqecFPvMTcH/m7lgXHTSKltFQqN3NwfMMs9M8803s8GC6gZrNXOhVufn\nPKV622PLNVBhSJehNgdBxzDTfBuM8La7k55AC6Ku/QXOJoiZ/XqG3v8pPqqXmKqNClnWuFGZvMAK\nI9YzFeOktnbVYjvRy56ExvlbLLfV4Dq9oFJRoMTQaOWZyCRgL3stNvWaqlwm4wNzVMsw2trgQi9W\nqYon31k97QuOc22d1E6RPnaFVim2GpxQ8R9rlbMKEi7Sr0WaxNQXgOE2mON9LWoc/OqiREGtV+mw\nw8Cgj6hKpp36hZqyh9gc9CeMss6ZaN9MrG/rDnNDz3deTnSHDV/BnNLGtiTNot0cNCFuGbHLRTp4\nXwxutMZmQ0OBqg95RTeHrHXDZc22u9i0VaStk3bGNdJ2c8B0Cw1QWOvvLjPJRMu0d6LO18lzzl3e\nRWQitKbH00HdzTfTTPMNs6lBYmq0NW43V/NaejRylZnkY33tSpoPeC1QqL92ioL9paUzJlkG1rrB\nObnWGm2+mSkrEWe18K67dHPA7CR2A7WxU9/A3y5Sqfh9RWKdkc7VMrVVIbvOqd5DullrtF72JtzX\nyx4zzU/IxtxsSHBMqi/5zppsqWE2BcfJcjkWm3rdhPd+aLb/7H/KiTr3l2uWkJnaSrGhNgeThJ0c\ncaM1Wiip9bn7KdTBcR+5NWGQ51qkSUxd54y0zkzztazji52MU9oERnt1McRWQ2y1yVAHdbPFECei\nPi7xgmyqxbV6mjRXbqrFCWLqhA5OxLmcE6mKtXTGUJv1TnIArcloa53WOsGSIB1Oa21jHb0T9eEj\ntzZo5PdqobMjOjoWWsLoZ2edQipGXTYCWSpMSMO3jMgS0ybDjLBBb7vrZYp5o9Vu82GtQopIT8ho\nay02Ne3nvtpYb1RKw8ylJifsX7VRooU9ehtuQ+A3VxcbDQ/Clts6qa1T1hmpWCsrTUi5X1bJsCI6\nSt9QBtuaIKQ2GWqeWWmZZMbIUW5SdGoxduxZbGpCiPQXhbzofhHPUZ3rzCTsb4cZFijWyolovFg8\nq40x3EafGH/FgovrS5OYuo4Z5XPTLawz6ypGuWbBOGvEwTi9Ks8uffW1S0/7DbPZMJsVaeeEDtbU\n6F8YanOtYuq8nLQPnLFlhd5262O3/gprNfgb71MZqp1VYIWb6yVmTmlrbS1TT7FtiKeTozJVBaPa\nJDoxxzO1RkjzyovUm3UtkqXSVB+l/fiDuhlsq/4K6yWmJlqetmFhiRZpX1xc60zxUbDkWSHbxyaH\n7i/WWqH+bvVR2mKqJp8bZaHpSS0ylposW4VpFquSeUlyF9caXauQmmyJJTWW6porN8t8RCr3C8xI\nOMZdjyx2q2oZIZPdXGWmWWSozRZGTUnbOaGrQ3V+JwbbqlgrC01PWpVaYaI/9g8+d0OTmGriyjLK\n56ZZpE0dE2zxRErU00Bnh33Fb82M60molJW0OrNbX/v0rNOpGJa5pda4mXI59T5h7dHHHn3kKK9z\nG26K9l2tcWMgpqZbIFOVSlkNynjrbbcZFiRc+RKJvEiHGeabbKn50UnAhrwPl5NjOkYnECP0tFeW\nSvOi2z/ItqTvRzrMNC9pjERLZ8w0T5F2CSewg7or1L9ek4LjrbTOqKAfZKrFodzE65XPjQpFp0yw\n0kTLzTMr6Gm81UeBz1SFLJmqkjZSt1NklM/TyvwbYkswgdfRMe+4K6XXWEy8TbM46f0tnAm5lsfT\n3QGDbK137tsEK0JLUzdb4W/95+DnC5qZZ6Y8ZSZZpkSLL4SQItJvWnNQKE+ZYTaZZ1bQ51pTcKVi\nq8HOaOloNJXieqBJTF1HDLMxaOotle+TuJPxLZYFS30LTQv6dWb7IOUMWUslJseF9G40LG2xMdpa\nPWucTJe55aoph0+1OHBEn2ClTNUqZcpQXa+st172mGGBcjnej44V12SM1TrWkSB/i2XeNydwBr7a\nqbnsGhsDj4nx/XqYaX5aAjue2d4PhdPGOKNFUDXNV2q29x3ROTSsUF9GW+s1DwSO/pN8fF2LqRHW\n6+KwD8wOCY1irczxvgzVwT4R34ifrdJkSxMuglopVimr1l6neAbaYaAd9d7uTFWhmBQik3yjrFes\nZei+jo7p4oh+dgZ/4wDbE6rGRPbLeHuIG3xe64BOZbRC18bJoNfsi06ZvISBoZPa6eKQDo6n7B27\nGr22GkuTmLpOGG6DqRY7oLsDuttuYOiqr1grd3jPJ8ZbbmJgFhnfRNrceXd6B4leQEd0sjrFVdgg\nW/Wz0wbDA6PMZNQnh62+DLYlIdpklTEOR43gJloehIDCGGt8aJZyOd6Luvfe5V23WCZPWWhqqDa6\nOuSCZhaannIU97gO5nhfhzoarq8VIVWTXvYYanPos9+jj3lmmWWenvYba5UT2tfaaDrHXBOs9E40\nh7GZC6ZYYoEZyuQFSwctFZsSzRaLP5Dv0tdgWw20Lamzdbrc5R3vuLvBv3+1MsAOe/QOMipjrI9W\n52qb9s1xIanILdQvZQVohwHK5Blqs341PK0+Nc7xJD1aM8xPsM7IVJ30taGVMyZa4bDOVhmrSDul\n8vWxOziWdXcgCBePZ4itSZ8zHUoUJCwBNvF7yuUoqeeE5AQrbDX4spjIXgqaxNR1wDAbAyH1kVuT\n9gFsMtx0C60zKsF1u1Kmt6MnjzxlZvsw4fdPaZPUjXuQraZb6LgOFptaa27fNAuTWhk0NCg3nu4O\n6OJI6LZC/YNJupHWh8QUkZ6J3ze9VrvLu7JVuslnzsup0yWZyJXwbn1q9TTZYaCJltcppq5VOjnq\ngmY2R60PYuzV2wnt9bTfAIUyvB8KsV1gRsgVfYzV3nJPsHSSp9TNVoSsEuCMVrYbmND4ekQXA23X\nzcG0xdQMC4LKSrPoxNI4q0JiKleZm60I+kKuZQr1T7q0tsFIVTLd4y25zif93VJ5PoyLbmkf7Y9J\nxSHdHNJNWycTxNQOAxIibGaaZ7xPgsmx+nBKm+B7UiXTKOvTXmKvjXu9mTQ+q0xenWae1zO5yky0\n3IIUF5xF2ivSXh+7jLJOZ0eSTmPHM9hWB3RvElNNXH6G2GyYTbo4rKPjUTfo9CdTvuR18JoHggND\na6eSiqlUdHE4LSEV2d4tOjvqXXcEzt9f8rtGi6khNhvciKvMeMo181ace3Ibp4y21qIkDbB97XJO\nbqh3KBVLTLHGjWZYEBoJv144qlNKD6+VxgfhtPEkczeu6WFzqRlqi/fcrlR+YPPwgNc84NXgMRWy\nbTa0UdWuK80YqxzVKennEGOT4apkut/rCYLmnObecF+oCpXvrBE2mGhZvUKeV5jgUA1vupnmucmn\nDRJSl5IbrAvEVDPl7vGWC5qFROUXkWYu6K+wTruKDo670VpbDUq42ErGNIsCY+VIEHX6pp3tHTfY\nVh+blPbvXEyaxNQ1ymBbzLCgzl4cmOVD7RRp6Yy7vR2cxAbbKoM6r7AO65xQ0h5guzFWO6qTRabV\nOlY9w3wdHA/iXLYaHFyV3ueNOre/Ljo5qpNjCbdP8rGR0eiJmmZ9RIRcRXQXyFCtQpZXPBQ6aXZx\nyCDbkq7979dDjvK0mihj5nUTLb8uxVRt7NfjovrudHLEFEsa7A8U4wOz3e912wwKXQ1f0MyjXgx+\nPq3VRameXkm6OWivXgnVoJpsMVRV3D5ZKdMrHlIhO8FwsVSB4zoY75N6ial9eiaY1Rbq7waf12lR\nkYruDvhy9DMr0s6LvoxI3NNIGxr0nDFiz5ulUk/7vOrB67Ln51KxzUDzzUzLS6p/XKvGQtOTZ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2SPP1xVtWae5cIDgrZCuONnc3dEqkJrv1laXS9/2jfGXKNatV6OQp87r7bTas1udtqdi/839C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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "selem = square(3)\n", "ct_close = erosion(dilation(canny,selem=selem),selem=selem)\n", "plt.figure(figsize=[10,10])\n", "plt.imshow(ct_close[-1::-1,:]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Properties of the combined operations\n", "\n", "Opening is:\n", "\n", "* anti-extensive\n", "\n", "$$X \\circ B \\subseteq X$$\n", "\n", "* idempotent\n", "\n", "$$ (X \\circ B)\\circ B = X \\circ B$$\n", "$$ (X \\circ B)\\circ \\dots \\circ B = X \\circ B$$\n", "\n", "Closing is:\n", "\n", "* extensive\n", "\n", "$$ X \\subseteq X \\bullet B$$\n", "\n", "* idempotent\n", "$$ (X \\bullet B)\\bullet B = X \\bullet B$$\n", "$$ (X \\bullet B)\\bullet \\dots \\bullet B = X \\bullet B$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Hit-or-Miss transform\n", "\n", "One define two disjoint structuring elements $B_1$ and $B_2$\n", "\n", "the Hit-or-Miss transform is:\n", "\n", "$$ X \\otimes B = \\{ X : B_1 \\subset X \\; \\text{and} \\; B_2 \\subset X^c\\}$$\n", "\n", "$$ X \\otimes B = (X \\ominus B_1) \\cap (X^c \\ominus B_2) $$\n", "\n", "which it is equivallent to a binary template matching.\n", "\n", "example of structuring elements:\n", "\n", "$$\n", "\\begin{matrix}\n", " \\cdot & 1 & \\cdot \\\\\n", " 0 & 1 & 1 \\\\\n", " 0 & 0 & \\cdot\n", " \\end{matrix}\n", " $$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def hit_or_miss(X,B12):\n", " B1 = B12 == 1\n", " B2 = B12 == 0\n", " r = np.logical_and(erosion(X,B1),erosion(1-X,B2))\n", " return r\n", "\n", "X = (imread('http://homepages.ulb.ac.be/~odebeir/data/man.tif')>0)[:,:,0].astype(np.uint8)\n", "B12_a = np.array([[2,1,2],[0,1,1],[0,0,2]]) # . are coded with 2\n", "\n", "HoM = hit_or_miss(X,B12_a) \n", "\n", "plt.figure(figsize=[10,10])\n", "plt.subplot(1,2,1)\n", "plt.imshow(X,interpolation='nearest')\n", "plt.subplot(1,2,2)\n", "plt.imshow(X,interpolation='nearest',alpha = .8)\n", "plt.imshow(HoM,interpolation='nearest',alpha=.5);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "with the following elements:\n", "$$\n", "\\begin{matrix}\n", " \\cdot & 1 & \\cdot \\\\\n", " 1 & 1 & 0 \\\\\n", " \\cdot & 0 & 0\n", " \\end{matrix}\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\begin{matrix}\n", " \\cdot & 0 & 0 \\\\\n", " 1 & 1 & 0 \\\\\n", " \\cdot & 1 & \\cdot\n", " \\end{matrix}\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\begin{matrix}\n", " 0 & 0 & \\cdot \\\\\n", " 0 & 1 & 1 \\\\\n", " \\cdot & 1 & \\cdot\n", " \\end{matrix}\n", "$$\n", "\n", "$X$ becomes:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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AQIPQBADQIDQBADQITQAADUITAECDOU3H3Lmcn7oEgH05m0tTl8AxY6UJAKBBaAIAaBCa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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B12_b = B12_a[:,-1::-1]\n", "\n", "HoM = hit_or_miss(X,B12_b) \n", "\n", "plt.figure(figsize=[10,10])\n", "plt.subplot(1,2,1)\n", "plt.imshow(X,interpolation='nearest')\n", "plt.subplot(1,2,2)\n", "plt.imshow(X,interpolation='nearest',alpha = .8)\n", "plt.imshow(HoM,interpolation='nearest',alpha=.5);\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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AGoQmAIAGoQkAoEFoAgBoEJoAABqEJgCABqEJAKDBnCbYJzO4gE1lBtf+WGkCAGgQmgAA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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B12_c = B12_b[-1::-1,:]\n", "\n", "HoM = hit_or_miss(X,B12_c) \n", "\n", "plt.figure(figsize=[10,10])\n", "plt.subplot(1,2,1)\n", "plt.imshow(X,interpolation='nearest')\n", "plt.subplot(1,2,2)\n", "plt.imshow(X,interpolation='nearest',alpha = .8)\n", "plt.imshow(HoM,interpolation='nearest',alpha=.5);\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B12_d = B12_c[:,-1::-1]\n", "\n", "HoM = hit_or_miss(X,B12_d)\n", "\n", "plt.figure(figsize=[10,10])\n", "plt.subplot(1,2,1)\n", "plt.imshow(X,interpolation='nearest')\n", "plt.subplot(1,2,2)\n", "plt.imshow(X,interpolation='nearest',alpha = .8)\n", "plt.imshow(HoM,interpolation='nearest',alpha=.5);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### other Hit-or-Miss structuring elements:\n", "\n", "* isolated points\n", " \n", " $$\n", "\\begin{matrix}\n", " 0 & 0 & 0 \\\\\n", " 0 & 1 & 0 \\\\\n", " 0 & 0 & 0\n", " \\end{matrix}\n", "$$\n", "\n", "* terminaisons (+ 3 rotations)\n", "\n", "$$\n", "\\begin{matrix}\n", " \\cdot & \\cdot & \\cdot \\\\\n", " 0 & 1 & 0 \\\\\n", " 0 & 0 & 0\n", " \\end{matrix}\n", "$$ \n", "\n", "* triple point detection on a skeleton (+ 3 rotations)\n", "\n", "$$\n", "\\begin{matrix}\n", " 0 & 1 & 0 \\\\\n", " 0 & 1 & 0 \\\\\n", " 1 & 0 & 1\n", " \\end{matrix}\n", "$$ \n", "\n", "and\n", "\n", "$$\n", "\\begin{matrix}\n", " 1 & 0 & 0 \\\\\n", " 0 & 1 & 0 \\\\\n", " 1 & 0 & 1\n", " \\end{matrix}\n", "$$ \n", "\n", "* pruning (+ 3 rotations)\n", "\n", "$$\n", "\\begin{matrix}\n", " 0 & 0 & 0 \\\\\n", " 0 & 1 & 0 \\\\\n", " 0 & \\cdot & \\cdot\n", " \\end{matrix}\n", "$$ \n", "\n", "and\n", "\n", "$$\n", "\\begin{matrix}\n", " 0 & 0 & 0 \\\\\n", " 0 & 1 & 0 \\\\\n", " \\cdot & \\cdot & 0\n", " \\end{matrix}\n", "$$ \n", "\n", "\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">see also:\n", "* Morphological algorithms [MMIP](../00-Preface/06-References.ipynb#[MMIP]) p255-288" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }