{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluation of radial distortion with triangulation\n", "\n", "**Author:** Yannick Copin \n", "\n", "**Abstract:** The radial distortion tends to alter more the positions in the outer part of the field, while it has little impact close to the center of distortion. Triangulation of distorted positions generated from a regular grid can be used to estimate the center of distortion, as well as undistorted step and rotation angle. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as N\n", "import scipy as S\n", "import matplotlib.pyplot as P\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a distorted grid " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def create_grid(nx, ny, scale=1., rotation=0.):\n", " \"\"\"Create a (npts, 2) array of coordinates.\"\"\"\n", " \n", " x = N.arange(nx) - (nx-1)/2.\n", " y = N.arange(ny) - (ny-1)/2.\n", " xy = N.array(N.meshgrid(x, y)).T.reshape(-1, 2).astype(float) # npts × [x, y]\n", " xy *= scale\n", " if rotation:\n", " # Convert to complex and rotate\n", " xy = (xy[:, 0] + 1j * xy[:, 1]) * N.exp(1j*rotation)\n", " xy = N.vstack((xy.real, xy.imag)).T # npts × [x, y]\n", " \n", " return xy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Undistorted positions:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nb of points: 300\n" ] } ], "source": [ "nx, ny = 20, 15\n", "scale = 2\n", "rotation = N.deg2rad(5.)\n", "\n", "_xy = create_grid(nx, ny, scale=scale, rotation=rotation) # Undistorted positions npts × [x, y]\n", "print \"Nb of points:\", len(_xy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add r² radial distortion:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xy0 = [3, 5] # True center of distortion\n", "K1 = 0.005 # Radial distortion r²-coeff\n", "r2 = N.sum((_xy - xy0)**2, axis=1)\n", "t = N.arctan2(_xy[:, 1], _xy[:, 0])\n", "xy = _xy + K1 * N.vstack((r2 * N.cos(t), r2 * N.sin(t))).T # Distorted positions" ] }, { "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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/NrTQtWNQ88jREu+8F55VtVcAyGJBC4rh24TVlgzyV+b/u/rPmlYJK15bpPqV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\nf1f/GX379lPd+FxumzN9Dr5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.plot(_xy[:, 0], _xy[:, 1], '.k', label='Undistorted')\n", "P.plot(xy[:, 0], xy[:, 1], 'o', label='Distorted')\n", "P.legend(loc='lower left', numpoints=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Triangulation\n", "\n", "### Using `scipy.spatial.Delaunay`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.spatial import Delaunay, delaunay_plot_2d\n", "tess = Delaunay(xy)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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g4ZJVdjUPdIohYYIc8hAmWa+9UvDMkmci7vcUeCbBlqjv6s+ipctYf08LVBp/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n1k3r5PRMJMEgoM1MozE3TgfVm5W5CwYIvoSvT5NA78fVfEeLHm5rJk0RvQup/o7ix52DjWNqrj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\n053QDumEtmt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = delaunay_plot_2d(tess) # plot + triplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[`scipy.spatial.Delaunay`](http://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.Delaunay.html) lacks of helper methods/functions to post-process the triangulation. We rather use [`matplotlib.tri.Triangulation`](http://matplotlib.org/api/tri_api.html#matplotlib.tri.Triangulation)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `matplotlib.tri.Triangulation`" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tri = P.matplotlib.tri.Triangulation(xy[:, 0], xy[:, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remove quasi-degenerate triangles on the borders:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "After selection: 594 triangles, 831 edges\n" ] } ], "source": [ "# See http://matplotlib.org/mpl_examples/pylab_examples/tricontour_smooth_delaunay.py\n", "min_circle_ratio = 0.1\n", "mask = P.matplotlib.tri.TriAnalyzer(tri).get_flat_tri_mask(min_circle_ratio)\n", "tri.set_mask(mask)\n", "print(\"After selection: {} triangles, {} edges\".format(tri.triangles.shape[0], tri.edges.shape[0]))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HUhAjI93YhFH18SeAY1J33HgEUUfoimWKmLLzmGq9FZR/9jm5Y8eh37kDz0aN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\nF2UbP19nqKL6Ezl+hrp65KMPqKpHRo6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L3ZLFlB4/jnnIUALmzSWzQQRJv9y8q54OgN/g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PwmG3G6YWexaj/radr297xOsGvuyDJTzf6w7DvJJkmlmSkrBERTF07CS+iLjR65gri/7F6ucX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\nKHC7UuqcOTY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.plot(xy[:, 0], xy[:, 1], 'o')\n", "P.triplot(tri);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Triangulation analysis\n", "\n", "Compute length of all (selected) edges:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "edges = xy[tri.edges] # nedges × [start, end] × [x, y]\n", "dxy = edges[:, 1] - edges[:, 0] # nedges × [x, y]\n", "lengths = N.sum(dxy**2, axis=1)**0.5 # nedges" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.hist(lengths, bins=30, histtype='stepfilled')\n", "\n", "cut = N.percentile(lengths, 66)\n", "P.axvline(cut, c='k')\n", "medinf = N.median(lengths[lengths <= cut])\n", "medsup = N.median(lengths[lengths >= cut])\n", "P.axvline(medinf, c='k', ls='--')\n", "P.axvline(medsup, c='k', ls='--')\n", "med = (medinf + medsup) / 2\n", "P.axvline(med, c='k', lw=2)\n", "P.xlabel(\"Length\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalized lengths:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "diags = lengths > med # Diagonals\n", "lengths[diags] /= 2**0.5" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.hist([lengths[~diags], lengths[diags]], bins=30, stacked=True, histtype='stepfilled',\n", " label=['Short sides', u'Diagonals/√2'])\n", "P.legend(loc='upper right')\n", "P.xlabel(\"Normalized length\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute angles (modulo π/4):" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "angles = N.rad2deg(N.arctan2(dxy[:, 1], dxy[:, 0])) + 180.\n", "angles = (4 * angles - 180 * N.around(4*angles/180)) / 4" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zD7b0+NIxaMhF2oPW6nU84V10ZAXwckvC3GsP8P98PVh0PLWY2f00\nDNsE+l5BRD10EZFooR66iEiUUKCLiEQJBbqISJRQoIuIRAkFuohIlFCgi4hEif8PPfqWw9pU5FsA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.hist([angles[~diags], angles[diags]], bins=30, stacked=True, histtype='stepfilled',\n", " label=['Short sides', u'Diagonals - 45°'])\n", "P.legend(loc='upper right')\n", "P.xlabel(\"Warp angle [deg]\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sort edges by increasing length:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "iedges = N.argsort(lengths)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute elements of distortions from smallest edges:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nb of undistorted edges: 41\n", "Center of distortion: [ 2.86707356 4.30324354]\n", "Undistorted step: 2.00605382314\n", "Undistorted angle [deg]: 5.03934704597\n" ] } ], "source": [ "frac_cen = 0.05\n", "ncen = int(len(edges) * frac_cen)\n", "print \"Nb of undistorted edges:\", ncen\n", "shortests = edges[iedges[:ncen]] # ncen × [start, end] × [x, y]\n", "xyc = N.mean(shortests, axis=(0, 1)) # Center of distortion\n", "print \"Center of distortion:\", xyc\n", "length = N.median(lengths[iedges[:ncen]]) # Undistorted step\n", "print \"Undistorted step:\", length\n", "angle = N.median(angles[iedges[:ncen]]) # Undistorted angle\n", "print \"Undistorted angle [deg]:\", angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reference grid\n", "\n", "Modeled positions (undistorted):" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xyu = create_grid(nx, ny, scale=length, rotation=N.deg2rad(angle)) # Modeled (undistorted) positions" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hGah5eBbxe0WuzZFRTqPp4+XLl9d8HhMTg5iYGAecDpH70zsTo2epAdBwMCtq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\nPDw8OHnypNW+xMREn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.plot(xy[:, 0], xy[:, 1], 'o', label='Distorted')\n", "P.plot(shortests[..., 0].T, shortests[..., 1].T, c='0.3')\n", "P.plot(_xy[:, 0], _xy[:, 1], '.c', label='Undistorted (truth)')\n", "P.plot(xyu[:, 0], xyu[:, 1], '.k', label='Undistorted (model)')\n", "P.plot([xy0[0]], [xy0[1]], marker='*', ms=10, ls='none', label='Center (truth)')\n", "P.plot([xyc[0]], [xyc[1]], marker='*', ms=10, ls='none', label='Center (model)')\n", "P.legend(loc='lower left', numpoints=1)\n", "P.gcf().set_size_inches((12, 10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Radial distortion:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ru = N.sum((_xy - xyc)**2, axis=1)**0.5\n", "offsets = xy - xyu # npts × [x, y]\n", "dr = N.hypot(offsets[:, 0], offsets[:, 1])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Wt3w5tX9/kNQZ04M6KDSXv5uSugEzxN07bAHeNMZ8KyI3AsYYMxW4RERuBrYDNcAIP5dJ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\ncebh3alzun+Q1DkNy/PLOH9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P.plot(ru, dr, '.', label='Observed')\n", "sru = N.sort(ru)\n", "P.plot(sru, K1 * sru**2, marker='', ls='-', label='Truth')\n", "P.xlabel(\"Radius\")\n", "P.ylabel(\"Offset\")\n", "P.legend(loc='upper left', numpoints=1);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## `spectrogrism.distortion` implementation\n", "\n", "The aforementioned procedure is implemented in the `spectrogrism.distortion` module. The rescaling of long edges is not trustworthy, and is not applied." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from spectrogrism import distortion as SD" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Structured grid: 15 x 15 = 225 positions\n", "Geometric distortion: center=(+3, +4), K-coeffs=[ 0.001], P-coeffs=[ 0.001 0. 0.001]\n" ] }, { "data": { "image/png": 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xTEpKhBBCCCGE6EAScAshhBBCCNGBJOAWQgghhBCiA0nALYQQQgghRAeSgFsI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P6Z43uYf8+Q0ea2nF1r0Hpk2bCGlymR8Ra4bQ65DntZML79wZ89t7sA8bQdnPP2N4epnPHSiq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Se6ot+62etbuy6PJYo+JbAEPfYY6qbNsI4cRdl33yFOm8qJs2frTOgQtN6Pq3dZje7QXrZ7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\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CHXADWHr1JPWrL8i7YTp5U64nafEiTJUruB43ymxuUq1oAO+RI7h+/hnXxk24Nm7Eteln\n3Nu2YXTqxDpbMr/k5qCB0pw9lOTsIq6DL8/Y4ywjLT2p0SXQglqJrrFKYB14iq96ytjxePPyiJtx\nY6PGDKgypaQOymQiYd5cX1rP0OGkvLeyUTWQlTWiUQE3QMRZZ2Fb8ZavdnbxEaKHDq2nf99jTLtc\nTToIxRQTQ8qKt3BMn0HeDdNJfuVlv+eJiotDHznil+feVBGn/Q7bOytwXDcJXV5O9JAhIcnhrsl6\nyikUPvUkY+9ZgPnK26vyoKeuWcWHO3Zit2ehy8t9wXOeA6/DgdeRh9fhwJObWxFYO6qCa29eHrq4\nGFNSEiZbMoYthUMH8zH61d7cW3BST5KfnF0VPDdl4/WcB+4Ka0Bstx+bYNhuz5INkqLVKSsrkxXq\nNk4C7jDTpaVN3uFvio4mafGLFL/+BjlXDSbpxUVE/v7c+u/kdEFEaANuqEgFeO9dCh56mJyrh2Bb\ntpQ9KB76YSM527L5/obpFBbk11uhw5OT4wuqN27CtWkTzo2b8B48iPnk7lh698E6YAAx48dj7tkD\nU1QUZxcV0XvbVjZt2oQlKpaIBF/JM4+zDO8/XuWBt19o0vdS30p0Xek7lm7dSP30j+SOG483J4f4\nB2c3KxBUhm+Fu97bVFYTSUggd+hwbO++E7Duc0BB5nDXutuAAaS8/y654yagi0vqLVVZWRpQNfF0\nQBUVhe2NJeTdMtOXzrL0jaoSmsowfJU+SkpQsbFN6r86a79+vprg48b7NtelpzNv626KQlCrWZeX\n48nJwZt9iAVLVlQF21Aj/Uk5fWVCk5MwJdswUlIw2ZIx2WyYkpOx9uvn+zrF5rveloxKSPB7nGXM\nnEVOgFXo9A5pWE46qRk/oWMTENvtEgwLUVNeXh5/XLUKc83/CUpCtLZEfpth1tQV7kpKKWJvmIal\nd2/ybrmV2OnTiJ0+vc7AUDvL611xbOpKNPhWNROfWMCR5Sv48YqruTmjJ+qCOyjJ/o28r/8IXg+b\nNm1i48aNnNa+Pa6Nm3BWrFq7Nm1El5dj6dUba5/eRF58MXF33I65a9c6ywpWX42Otlh4YuhYii+4\nhJQYKzd3iiP+4bl4X1+CKQQBWTCMjPakfrIKx8TJ5N9xF0nPPNX0Y64Nw680YH1ip0z2Bd0jR/tK\n0A0Y0OB9VGREwDrcwbD06EHqxx+RO2Yc3qKiOlf0VZQvIKYZx3Erq5Xklxdz+O57fCX2lr+FKT7e\nd11lLe4Q/X4ra4KvGTqcGfEdMQ2dW2+t5uqBtCc7u+rDm52N59Chiq8P4S0q8gXP6Wkcyi3H6FN7\nBbpowGm0W/IMKj6+WRsnw52WYbdLQCzEsVZeXk5i/mHOXPSiX/tnDzzYQjMS4SABd5g1N+CuFHHO\n2b761NdPw7VuPYnPPhPwQB1fSkngt5ObfGphDbETr+PVP69GZQ3BsEYSnZZFVGonSnP2EGu2Yps4\nidz4BCx9emPp04eYcWOw9OmDkZnZ6GCjcjXaW1rK0xYPmW/5/iBpt5vDDzxI7vAR2N5ejpGW1ujv\no251v61nSkrC9sF75N1wI46p00h+7ZWmHW1vNupNKakpevgwVFwcjusmBbWxsbE53LWml5XlK+M3\nZiy6qMh3CFGN352vFnfjN07WpMxmEp97loLZD5I7egy2d97BSE6qqsUdyh0Clm5defW0czClX1Jr\nFfqh8VNZ2LkdnkOH8B7M9o1dEUgb6ekY6emY0tKwnn46RloapvR0jPQ0TDZb1Sp0XSvQaelJTdr8\nWpPdLjnKQgjRGknAHWbNSSmpyZyZSeonH3P4/gfIGTwE2xuvY87K8h+vnrKATT21sKpvp9N3xPn6\nDWTvycboXhGwRETTe9KzlOTsotPB/9L17ZcwkpOb/H0G5PWiTEdDL2U2k/jkAopeWETOkKHY3l6B\npVvX5o8TxOsBU1QUtjff8FUSGTUG2/Jlja5AUblpsjGiLrkYU+XGxmobAAP2b7Wig6xSUhcjo73v\nQJ6x4/EWFZEwb65feoMpOrpRtbjro0wmEh5/jMLHHid3xAiKnnyCufklFNz3OOmZqY1K8/4hRwAA\nIABJREFU+fAWFeHZvx/Pvv149u3DvW+f7+v9vs/7810Yowf7f6/WSPLjU4i9/npMaWkY7dIxJSc3\nOm3oWG0MlFVoIYRoXSTgDjNdVoaKav4KdyUVFUXiwucoXr6cnCFDSVr4HJEXHC13hsuFsgZOc2hM\nrWjtdOL65Rdc6zfgXL8B14b1uLdsxejUCUvfvqTGR/qt5BkR0USn2cmM2R/6YBtq1ayGihzn22/D\naN+O3GtHYFv6RtB1pJtLWSwkPf8chY8+Rs6wa0lZ+U7jDiuqcdpksCLOOgvbyrdxTJyEt6Cw7qop\n1ghoQg53TVVl/CZO5vBdd5P49FNVKUAqKiro0yaDoZQifvYD7CorZ9L192JcNdtXlq5aykdWh0xf\nase+fTWC6qMBNS4XRmYmRmaG73NGBhG/PxdzRVvm04sDVuNod1Jn/+dSE9jtsgIthBCiNgm4wy1E\nKSXVKaWInTQJS69e5M24idjrriP21ltQJpMvh7uOFe66KnTo8vKjwfWGDbjWb8C9dStG505Y+vbD\n2q8v0SOGY+nduyqNZW7FqXTVV/I8f36R+5YsCOn3WsXjqbP8YMyoURipaTgmTyHxmaeIuuSS5o0V\n5E5xZTKR8NAcTKmp5Awdhm3l21i6dQtuDMNAe7xNmp61b19SPvwQx9hx6IICYm+YVntuEc1LKanO\nlJCA7d13yLt+GnkzbiZ58SLfQSPR0Y0+/KZBLhfP78/FuHxm7Y2HlwzmKdcRTDZbVfBsZGZi7t6d\niPMHYWRkYs7MQCUm1pu69ODdt0getBBCiGNKAu4w0lqjy8tDHnBXijj9dNK+/ALHDTfiXL+ew3fc\nzvw33+dQbgEZM2cFfBs+1mplYGQkrj9+Sn5lcL1tG0ZWZ6x9+2Lp14/oESOw9O4VMEe8kt3uW8mb\nM2QUBSf1Ii0jlduvPpfYm2/FtXwZlp7BHxMejIbKw0VecL6vpN3kqXgP5dRbXaNeTdjQFjfjRkzJ\nyb6a2cuWYj3llIaHMQzfoUFNZOnWlZQ/foxjzDi8hw/XyrFWVqvvKOwQMUVHY1v2Jnk334JjylQK\n5jzI3O17yX/6Ndqt+jLolA+tNd68PDy7duPevavi827cu3bj2b0bT04O+2PbYQwb4nc/wxpJ0e/O\nJGPFS03fqFrBbpdVaHHiUEolAG8AfQAvMAXYAnwAdAZ2AiO11gUtNUchTgQScIdTWRlYrc2uI1wf\no317Uld9yLrb7mDK+NuqVgZznGWMvPlB3rl5DB0ceb6V63XrcW/fjmHPOhpcjxrlC66bkGdut2fx\nXIaNxLl3Yu3bF4CSAf3JHTXG75jrkKhnhbuSdcAAUj9ZRe74CXgOHiTurjtDcpR2MGJGjcSUlITj\nukkkLV5E5Hnn1X+HRm6aDNhFZqYv6B43Ae/hwyQ8Or/qsdbcTZOBqIgIkl99hbXTpjN13K0Yl9yF\nYY0ku0aVD11ejnvvPjy7d1UF0u7du6uCa8wG5k6dMHfqjNG5E9aBA4m65hrMnTthZGTQ4c4HAqZ8\npKUmNjvYrmS3yyq0OGG8APyP1nqEUsoMxAAPAF9rrZ9SSt0L3A/c15KTFKKtk4A7jEJVoaQhKiKC\nF83Rtd+G7z+CR2Y9zOJLz8PSry8xo0dj6dUzZJs4AbTL6RcERQ8bitG+HXk33kT8A/cRM2pUaAby\neMBo+IWL2W4n9bNPcVw3Ec+BAyQ+sSBkQVpDoi65GNPS18mbNp2EeQ8Tfc01dd5WGeZGb5oMxLDZ\nSPnoAxyTp5A/8zaSFj7n+36tVnA60VqH9EWHMptZHJuMccng2qcdDh3DMxYvntxcjPbtKgLqzpg7\ndyJ64ECMzp0wd+yIKTGx3jGOxcZDIU4ESql44Pda60kAWms3UKCUGgJUrgosB1YjAbcQYSUBdxjp\n0tBumKzq1+PBvX07zrXrcK1bh3PdOvZty8YY5X8ct2GN5MhpZ5H03LMhn0MVpwss/jnjEWedRcrH\nH+GYMBHP7j3E3X1Xs4M+XaNKSX2MlBRSPvqQvBtn4Jhyva90Xz3pMbUHa+Ik8aX5pLz/Lo4JE/E6\n8oidOqWOSZqatGkyEFNcHClvryBvxk3+pQorgm6acOog+HL73Tt34v7tN9y/7aj4/Bv7fj2AMeIi\nv9sa1kgKsk4iZdGjGBkZddZWD4bdLikfQoSIHchVSi0D+gM/ALcD6VrrbACt9UGlVCjrqgohApCA\nO4xCscKttcaze7dfcO3auAlTSgrWAf2x9OtHwuCryVz+QcC34VNimxZsBT2/OqqiWLp1I/XzT3FM\nnoJ7z17fITHNOXI+iJSS6kwxMdjeXMrhe+8jd8RIbMvfwkhJafiOIVgNtvTs6Uv1GDseb24ucbPu\nqf2CwzBDEzdNBqKiokh+fQn5d96NY+w4CufNZY62cmTqHaQlx9aZY609Hjz799cKqt2/7cCTnY05\nMxNz1y6Yu3TBesopRA8fTsay9wI+1tI7tcPcqVNIvh+7XVI+hAgBMzAQuFlr/YNSaiG+leyaywpy\nprgQYSYBdxg1JeD2HDzoC6rXrsO5fj2udeshIgLrgP5Y+/cn7raZviOga7wt/2Baeu2qIV+/zIwU\nM978/EbXiQ5WzZSS6ozUVFI++pD8W24ld+x4bG8saTCdoE5BppRUpywWEp99hqJnniVnyFBSVr5d\nq255uJg7diTl009wTLgOj8NB4uOP+a36KrMZ3YxNk4Eoi4WkFxay/rbbmTzxTowxT1SdpDhixmxW\nzhhJh7Kyo4H19u24d+3ClJiEpWtXzF3smLt0IfK88zB36YLRsUPA3+2c9u0l5UOI1mEvsEdr/UPF\n5Y/xBdzZSql0rXW2UqodcKiuDubOnVv19aBBgxg0aFD4ZivEcWb16tWsXr06JH1JwB0mO3bs5JHH\nn+NgvovMOiqGePPzfUH1Wt/KtXPdOnRZeVVwHTPxOqz9+2Okpzc4nt3uexv+4Uk3khcRS7seXXjg\n/ZexrXyXQ1cPwbb8LSxdu4T+G3W66jxoB3yHxCQveY2CefPJuWYYtreXY+7YsdHDaI8XgkwpqU4p\nRfw9d2O0a0fOsOHYlr2JtX//BgYLzWKPr4b1B+RdfwN5N84gefGLR1+AGSZwNz+Huzrt8eDZtZuF\nB/IxLrvVP8f6lJHMf/BxFp1/FuYudqKuvhpzly6Y7VmYYmIaNY7dLikfQrQGFQH1HqVUd631FuBC\nYFPFxyTgSWAi8FldfVQPuIU40dR8kTlv3rwm9yUBdxjsqKhRTb9rMbpGkussY8TND7Ly+mFkHMqp\nSg3xOvKw9O2DtX9/oq65hoS5D2N07NjkfGe7PYsXzhiAtU9vYq6b4Gt8aA7mrl3JHTbcdyT4OWeH\n7PuEipSSBjYlKsMg8ZG5HHljKTnXDMX25tKGg96avB5fKb0mipkwHlNaKo7x15H0wvN1H3AS4qom\npthYbCveIv+228kdPwHbm0sxxcc3a9Okdrl8udVbtuLasgX31q24tmzFveM3jNQ0sr3RGL3931kx\nrJEUnXo6yYueD8W3JSkfQrQeM4GVSikL8BswGTCAD5VSU4BdQB0naAkhQkUC7jB4bOHLvmC7RsWQ\n+Q8/xuLBlxBx/vnE3XE75q5dmxVEBqLLyqBGGkvMuLGYO3cm76abib93FjFjx4RuPGfdKSU1xV4/\nFaNDJo7x15H47NONO6CmCSklNUVdeikmWwp5108j/v776j6lMcSU1UrSS4speOhhcoePoHDBY8zd\ntofDz7xGu48+rzu/uiL9w7V1C+6t23xB9datuHftwmjfHkv3kzB3707kBRcQe+N0zN26YYqOJnPm\nLHID5FinxoeuOo0QonXQWq8DTgtw1UUB2oQQYSIBdxgcKizFSAq0wngGiY89Gtax68objzj3HFI+\n+RjHxEm4t20jfvYDzQ72tda+KhiNKLsXddllGOnpOKZej2fvPmKnTA5urCamlNQU8btTSVn1EY7x\nE/AePEjszFtrv6MQopSS6pTJRML8R9gw52EmXT8L4/JZVTWsR9z8ICtnjqdjcYnfirVn/35fveqT\nTsLS/SSirrgMy0kzMXex11vaUcrqCSGEEMcXCbjDIC0+igMBVhht1vAfwlLfRk1L1y6kffEZjmnT\nybt+GkmLX2x0/q4fjwdMpkYH7tZTTiH10z/imDAR9+7dJMx5sOE+mplSUp2lW1dSP/ON7zlwgITH\nHj3adzgPynE6eX5PNsblt9Wul37XbF78wxmYu3cnetgwzN1PwpyV1aTKLna75FgLIYQQxxMJuMMg\n0Aqj99ul3Fi4G+fatVgHDAjf4A1URjElJZHy7jscvv8Bcq8ZRvJbyzBnZjRpqGDyt+ti7tTJF/Re\nP4286TeS9OKi+k+79HqbnVJSnZGeTsrHH5E3bTp5024g6aXFTTptMxCtNZ79+3H9vBn3L7/g+uUX\nXJs34961iwOx7TGyhvnPxRrJkdPOJvmVF0MyPkiOtRBCCHE8Cd+Z4ycwu923wtjrpzexffMy/Yu/\nY9U7i+j71AIcEyZS8skfwza2Lmv4sB1ltZL4zNNEDR9KzuDBONesadpgTme9FUoaYkpMJGXlO6io\nKHJHjMKTm1v3jT1eMIX24WqKi8O24i1UTCyOUWPYtnYdN8x7kknFiutnzmLHjp0N9uEtLKT8++85\nsnwFh+9/gJyhwzjQqw85Vw+meNkyvPn5RA4aRNKiF8jYtJHM887ypXhU/9Ykv1oIIYRo02SFO0zs\n9ixevOAciIgg/vbbKhqzMGdl4ZhyPa7Nm4m/796wbJoMpva3Uoq4G2/EbLfjuG4SiY8/RtTVVzVu\nrGascFfNIyKCpEUvUPT0M+QMHoJtxQos3brWHsvrCfqkyUaNb7WS9MJCNsy6j0mT7sS4fCbG8Ktx\nOMsYecscPqxIxdAuF+7ffvOtVv+8Gfcvv+LavBlvfj7mk7tj6dEDS48eRF11FeaePTCSkwOOJ/nV\nQgghxIlHAu4w8haXYK5x4IylZ09Sv/qCvOkzcEyaQvJLL2KKjw/ZmI09bCfq0ksxMjPJmzwV1/bt\nxN02M/iyhE5XozZM1kUpRfysezA6dSR3+LUkv/YKEWee6X+jEFQpqXN8k4lFTnzBdvXc6n7X8tDY\nKTwba8H123aM9hlYevbE0rMH0aNGYunZA6NzZ1QjVt7tdsmvFkIIIU40EnCHkS4pRgXYlGgkJ5Py\n7jsUzHuEnKsGk7zszZAdStOU0y2tffqQ+sVnOKZMxb39N98x7BENHwmvXc7mHddeQ8zo0Rjt25N3\nw40kPDKX6GuuOXqlx9uoo92DoT0e3Dt24Nq4kQPrf8E470K/6w1rJPmJqSQ+8QDm7t1DluNtt0t+\ntRBCCHEikRzuMNLFxaiY6IDXKYuFxEfnEzv9BnKHDacsREeHNiXgBjDatSPl41Xo8nJyR43B43A0\nPFYIUkpqijzvPFI+eI/CxxZQ9OJiX+lBfMFxc1JKdGkpzjVrKH5nJYfvu59DVw/hQI9eOK6bSOlX\n/0OKlYC51e1O6oy1f/+QBdtCCCGEOPHICncYeYtLUNH1l92LGTcW80ndyLtxBrHTpxN7w7QmnzQJ\nTQ+4oeIY9ldf9uVTXzUY21tvYjn55Lrv4HSBNbQBN1Sk3XzxGY7rJuHevZv8G6Yx/6U3OLgjh8yZ\ns+o8KKaSNz8f58ZNuDYd/XDv2oWlS1csvXth6dOHqGuGYOnVqyqdZ27F6aCSWy2EEEKIUJOAO4x0\nSUlQda4jTj+d1C8+9+VR/7yZpCcXNDlobk7ADb585vh7Z/mOgx8xiqRFzxM5aFDgsVzBnzLZWEa7\ndqR8soo1E65j2phbMC6+CaNHJLnVNjNmZXXGs28fro0bcW36ueqzt6AAS6+eWPr0IeKcs4mdfgOW\nk06qN03GbpfcaiGEEEKEhwTcYaRLilHRwaUimDMzSfn0Ew7fcRc5147E9sYSjHbtGjeeywUQkiA4\n+trhGJ06kjd9BnG33UrspEm1x3O6UJbQ5XDXZIqN5eXMrhg9zq21mXHOsLE85SxEWSOw9OmNpXdv\noocNw/LQnEZvZKxkt0tutRBCCCFCTwLuMNLFJQE3TdbFFB1N0qsvc2TRi77NlG8sadQhOc1d3a4p\n4vTTSf30ExwTJ+Petp2EuQ+jzNUeMq7wpJRotxv31q0412/gwPrNGOdf5He9YY2koFNX0l9/FiMt\nLeTjCyGEEEKEkgTcYeTbNNm4o9OVUsTdNhNzj5NxXDeJhIcfInr4sIbvSOgDbgBz586kfv4peTfO\nwDFxEsmvvFyV9xyKlBLtduPetg3n+g24NmzAtW49rs2bMdq1w9KvL6kxFnKcZVUr3ODbzJjeub0E\n20IIIYRoFSTgDiNvSQmm6MBVShoSdemlmDt3xjFlKq6ffyb+gfsbPCQnHAE3gCk+HtuK5RQ89DA5\nQ4ZiW74Mc6dOaKcLGpFSoj0e3Nu24Vq/Aef69bjWb8D188+Y0tOx9uuLpV8/oi6/HEuf3rKZUQgh\nhBBthgTcYaRLGpdSUpOlRw9Sv/yS/MrV5ZcWY0pIqHu8MAXcAMpsJvHxxzjy5jJyhgylcO5DLFjx\nEYf2HSIjQOUQ7fHg3r69dnCdmoq1fz8s/foSddllWPr2qffgH7tdNjMKIYRoG7Kzs9m7d69fW1FR\nUQvNRhxLEnCHiXY6AZp9MIyRnITt3XcoeGT+0UNyAhx9DuENuCvFTpnM3shIxsxZiPnKOzD6RJLj\nLGPE9PtYMXQQGQcO4tqwHtemnzGlpmDt18+3cn3JJb7gup4XDHWx22UzoxBCiNbvp2+/xf3PfxFb\n46yLbrt2tdCMxLEiAXeY6OJiVBPTSWpSZjOJj8yj+L33yR02nKTnFxJ5wfm1xzwGAbfWmqf+/i9f\nsF29csipY1jw1kJenjiKqEvuanJwLYQQQrRlmRs2kr5lS0tPQxxjEnCHSXPyt+sSM2Y05m5dyZt+\nI7E3TCN2+nS/Q3J0aegDbo/DgWvtOpxr1+JcuxbXmrXs1zEY1w72u51hjaSwZ1/ibpoR0vGFEEII\nIVo7CbjDpCkVSoIRcdppvkNyplyPa9Nmkp5+sirI1mVl0IyA21tSgmvDBpxr1uJauxbnuvV48/Ox\n9u+PZUB/YsaNxfrUk3RYsBBHgMohqfFy/LkQQgghRE0ScIeJb8NkaFe4K1UdknPnXeRcOwLbG69j\ntGvXqJQS7Xbj+uXXisB6Hc41a/Hs2IG5Zw+sAwYQeeGFxN19F+YuXWodIjP7jpukcogQQgghRJAk\n4A4TXVyCig79CnclU1QUSS+/xJEXF3PoyqspnDeXBUtXciinoFbVEK01nl27KtJC1uFauw7Xpk0Y\nGRlYBgzAeopv9drSs2e9x59XstulcogQQgghRLAk4A4Tbwg3TdZFKUXczFvZm5jI2AeertrImOMs\nY8TUu3nzzJPJ2L0b55q1qMhIrKcMwDpgAFF334WlX996y/E1xG6XyiFCCCGEEMGQgDtMdEkxpjCl\nlPiNU17OU3/9pnbVkDMm8Mx/l/DarJkkPfM0Rrt2YZ+LEEIIIYSoTQLuMNHFzTv0JmCfWuPZswfn\nTz/h/Gktzp9+wv3LLxyMa4/R1T9327BGUtCxC1GXXhrSOQghhBBCiMaRgDtMdEnzc7i9R47gWre+\nIsD+CedPa8AwYT31VKwDB5IwZzaWfv3IvPdhcqVqiBBCCCHEcUkC7jDxFjcupUR7vbi3b/cF1j+u\nwfnTT3h27sTSuzfWgacQPWwYCY8+ipHR3q/2NkjVECGEEEKI45kE3GGwY8dOHv78rzhMEbTf518x\npJInLx/XGl9g7VyzBueatZiSErEOHIh14EBixo7G0qtXUEfD2+1SNUQIIYQQ4nglAXeI7dixk5G3\nzIEzbsCwRnLIWcbIW+bwzq3jyDyYjfMnX5Dtzc3F2r8/1oGnEDN5MkkvnoJhszV5XLtdqoYIIYQQ\nQhyPJOAOsccWvgwVqR1QUTGk37U8cudsFl9xARFnnkHcTTdiPukklGG08GyFEEIIIUS4ScAdYocK\nSzGSalcMOXL62SQ983QLzUoIIYQQrZ0X8ERY+fLe+/za3RYrZWVlxDfjfA0RXhJwh1hafBQHpGKI\nEEIIIUJsT1kUf89LQynt136eNZf8/HzS0tJaaGaiIaaWnkBbM/uOm2D9Kl+lEDhaMeSOm1p4ZkII\nIYRo3RR7y6PYUxbt9+HRquG7ihYlAXeI2e2+iiH9i78jfdeX9C/+jg+lYogQQgghxAlLUkrCwG6X\niiFCCCGEaJjbbGbN8KF4zRa/dmXIqnVb0mIBt1LqWmAu0BM4TWv9U7Xr7gemAG7gNq31X1tkkkII\nIUQrp5QyAT8Ae7XWg5VSScAHQGdgJzBSa13QglM8oe09pT+7T+rF1pJYv3b3EQm425KWXOHeAAwF\nXqveqJTqCYzEF4h3AL5WSp2ktda1uxBCCCFEA24DfgYqS1jcB3yttX5KKXUvcH9Fm2ghZV6D7wuT\nWnoaIoxaLIdba/2r1norUPMl3BDgfa21W2u9E9gKnH6s5yeEEEK0dkqpDsAVwBvVmocAyyu+Xg5c\nc6znJcSJ5njcNJkJ7Kl2eV9FmxBCCCEaZyFwD1D9XeJ0rXU2gNb6ICC15IQIs7CmlCil/gakV2/C\n96SfrbX+IpxjCyGEECcypdSVQLbWeq1SalA9N60zZXPu3LlVXw8aNIhBg+rrRoi2ZfXq1axevTok\nfYU14NZaX9yEu+0DOla73KGiLSD5YyCEEKK1COU/8CCcAwxWSl0BRAFxSqm3gYNKqXStdbZSqh1w\nqK4Oqv+PFeJEUzOunDdvXpP7Ol7KAlbP4/4cWKmUWogvlaQb8H913VH+GAghhGgtQvkPvCFa6weA\nBwCUUucBd2mtJyilngImAU8CE4HPwjYJIQTQgjncSqlrlFJ7gDOBL5VSfwLQWv8MfIhvR/X/ADdJ\nhRIhhBAiZJ4ALlZK/QpcWHFZtHJaa7xer9+HhE/HjxZb4dZafwp8Wsd1C4AFx3ZGQgghRNuktf4G\n+Kbi6zzgopadkQi1b7/9ln9+803VZQ2c2r8/p555ZstNSlQ5XlJKhBBCCCFEE52xfAUpO3dVXd51\n6kCOZGW13ISEHwm4hRBCCCGOgd8c+ewYNZrqhWGUghKnhGNtnfyGhRBCCCGOAS+K/xYks68syq/d\n6T0ej0URoSQBtxBCCCHEMVLuNVHqNVp6GuIYk5dUQgghhBBChJEE3EIIIYQQQoSRBNxCCCGEEEKE\nkQTcQgghhBBChJEE3EIIIYQQQoSRBNxCCCGEEEKEkQTcQgghhBBChJHU4RZCCCGEaIOKiovZvn27\nX1tUVBQZGRktNKMTlwTcQgghhBBtjG3HTvK+/4HNP/7k136wU0eumzwZq9XaQjM7MUnALYQQQgjR\nxsTm5XHKirdrtf9lzuwWmI2QHG4hhBBCCCHCSAJuIYQQQgghwkgCbiGEEEIIIcJIAm4hhBBCCCHC\nSDZNCiGEEEKEUElJCR+sXIlL6xrXqBaZj2h5EnALIYQQQoSQ0+kkorSMi598yq/9q3vva6EZiZYm\nAbcQQgghRBNt/Okn1v74o1+bF4gqKa61nq1qLniLE4YE3EIIIYQQTZRzMJtOf/0bGRs3+bVbyspa\naEbieCQBtxBCCCFEM1hKS4kqLGyx8T3axHfjJkCNFXT7mh/p96c/tcykhB8JuIUQQgghWrGvctOJ\nMdx+bZ0jS4k+6SSQgPu4IAG3EEIIIUQrVuwxU+zxD+mSzK4Wmo0IROpwCyGEEEIIEUaywi2EEEII\ncQL5/j//wWTyX3Pt0bs3SUlJLTSjtk8CbiGEEEKIE0T/D1dRbEvGU60t127HsFg4/YwzWmxebZ0E\n3EIIIYQQJ4h2v/5aq81rGC0wkxOL5HALIYQQQggRRrLCLYQQQggRhIMHD1JW40CbI6WlRLbQfETr\nIQG3EEIIIUQDysvL+fKzz0jbf8D/Cq+X5F27W2ZSotWQgFsIIYQQogFaa8xezalvLG3pqQTNY7Wy\nr28fv7bIgkJsu+UFwrEmAbcQQgjRBimlOgArgHTAC7yutV6klEoCPgA6AzuBkVrrghabqAiLXJeV\n/Lg4/jl4hF97jOHm4meeJbKkpIVmdmKSgFsIIYRom9zAnVrrtUqpWOBHpdRfgcnA11rrp5RS9wL3\nA/e15ERF6DlcEazKzqzVPjFjF9okNTOONfmJCyGEEG2Q1vqg1nptxddHgM1AB2AIsLziZsuBa1pm\nhkKcOCTgFkIIIdo4pVQWMAD4D5Cutc4GX1AOpLXczIQ4MUhKiRBCCNGGVaSTrAJu01ofUUrpGjep\neVk0U1GKjf834yaUqn1dadHxd8hMZGEh69auZf3atQ3fWCkuvvRSOnfuHP6JtSEScAshhBBtlFLK\njC/Yfltr/VlFc7ZSKl1rna2Uagccquv+c+fOrfp60KBBDBo0KIyzbTtKExJxaoMPDtTOofYSIApv\nYR3WrSdj46agbrt58FUUnX12mGd0fFi9ejWrV68OSV8ScAshhBBt15vAz1rrF6q1fQ5MAp4EJgKf\nBbgf4B9wi8bRHJ/BdSAKMDye4G7r9YZ3MseRmi8y582b1+S+JOAWQggh2iCl1DnAOGCDUmoNvhjw\nAXyB9odKqSnALmBky81SiBODBNxCCCFEG6S1/g6oK2H4omM5l7Zs/eVXsHPAKf6NSuHRrWN1Wxwb\nEnALIYQQQjTRwe7d+bk8kT1lUX7tRR4JscRR8mgQQgghhKgm++BBNv7wg1+b1+sFHTh/+bDbzEFn\n5LGYmmilJOAWQgghhKhm5/btlPzta9K2bPVrb5eX10IzEq2dBNxCCCGEEDXEHzhAh/XrW3oaoo2Q\nkyaFEEIIIYQII1nhFkIIIYQIwuYLL6AsPt6vzRUdBcUtNKEm2njl5ZidLr+2rv/6jvicnBaaUdsn\nAbcQQgghRANKEhLYds457CiL9WvXbthfHlXHvY4/PxUlkdz5d35tSeZyShITOWfeA63JAAAQwklE\nQVTZWy0zqROABNxCCCGEOGE5HA6Ki/2XqAuPHMFa43ZaKbxa8U2e7dhNLgw2FMXXausfdxh7I/rI\ny8tj9+7dfm3x8fEkJiY2c3ZtlwTcQgghhDhh/fHjj0nJzvY/hF1rMnbsbKEZHd9Sf97M7m++If+b\nb6raPCaD0nbpjJs6tQVndnyTgFsIIYQQJyytNb977XWU1i09lRblio7iQI8efm3R+fkkZGf7taVt\n3Uba1m1+baVxcfz7rjvCPsfWTAJuIYQQQogTWK4zgkOJ6eRcO9qvPVJ5GDx/fgvNqm2RgFsIIYQQ\nbZ7WGqfTWbu9BeZyvNlXHsWH2R382kxorsvYXcc9RGNJwC2EEEKINm/79u2s/vvfMWqkjsQfOQIn\neDqJCD8JuIUQQgjR5pWUlND5x5/o9dX/tPRUxAlIAm4hhBBCCOFHAy6t+PyhOX7tCjh59Wq6f/vP\nqjazy4Xb5eLN117zv61SXDFkCOnp6cdgxsc3CbiFEEIIIYQfjeL9Ax1Ryj/d5qzEfNrXCKAtZWVc\n+OTTaJPJr3392DEUFRVJwI0E3EIIIYQQfjZddCFbzzzbr03hW/E9kXhQUON79hL4Z2C43bXaTF5v\nWObVGknALYQQQghRTV5WFr+WxrGl2P8Y9zKv0UIzEq2dBNxCCCGEOGH97dbbKIuJ8WvTFoPiIjOH\n3TUPeBeiaSTgFkIIIcQJqzwpnq8dabXqcR8sj2yR+Yi2SQJuIYQQQpzQ9pVHouvITRYiFEwN30QI\nIYQQQgjRVLLCLYQQQog25bfffiM/P9+vLTs7G0sLzaet8wJrrh2GM9o/Fz7PnoV382YKCgr82tPS\n0ujYseOxm+BxQAJuIYQQQrQp//r6a9r/+9+Yna6qtiggY8PGlptUG1bQvj37evVmfVGCX3sXdzER\nW7YQ+/4HVW1lsbH8duYZdJw8+VhPs0VJwC2EEEKINqfLd/8msri46nJpbCxbLhhU63ZKUrcbrTCj\nPesGX1V1uTw6Brc2saYo0e92qREu+v28me6rv6lqK2jXjk1nnnHM5nq8kIBbCCGEEG3exisvZ1u3\nPuS5Ivzai46Ya1UoEXXbVhxNRGwm9Mj0a885IiUU6yMBtxBCCCFaJa/Xy4EDB9DaP2QuA3aceQaW\nstKqthKbjX3lUfz7cPIxnmXbku2MJDuveSUTXVqzd+9evzbDMGjXrh2qjb7lIAG3EEIIIVqlHTt2\n8N2f/kxcjU15blsqP5xxfq2V6z2FUcduciKg6Px8Yn/bwffLV/i1FyQncek119C+ffsWmll4ScAt\nhBBCiONKYWEhXq/Xr80wDOLi4vzaPB4PKXt20/+dd/3aP5szh7/kplEqR7Efdyzl5dj/9jXuCP/U\nng3Dh+LxeFpoVuEnAbcQQgghjhsHDx7kq88+I7q83K+9JCKSEWNGEx8f30IzE6GQY7fznwnjKavx\nYijC5GHHjh106NChhWYWXhJwCyGEEKJFeL3eWivZZWVlJDjyOHXpm37t3912KwUFBZhMR8/sKy0t\nxW224IyUY9iPVx6L2e/3U5KURLHHzEfZ/psur0494Pt9ut1+7SaTye933lqpmhsNWhOllG7N8xdC\nCHFiU0qhtT4ud4kdi/+xf//yS3bs2+d3qLpHKbT2HabSVE6viY+yM3Hr1h2o/feRywA446E/t/BM\nmua0hMP0iimo1X7AGc1fc1P92q5OPUCq1YlR7TGnga4dO3L+FVeEe6pBac7zVVa4hRBCCNEiigsL\nOe3td0jZsbOqbeu55/K/v7+Mz3PatdzEREh8X5DI9wWJDd8QMCno8bev6fq//65qy+nahb0zZoRr\neseUBNxCCCHECUYpdRnwPGAClmqtnwzneMXFxfzx/fdx19gU59aabiWlddxLnEhKPGY2XXQRmy68\nqKpNK9AFRby1ZEmT+420Whk2dixWa8vWCZeAWxxTq1evZtCgQS09DREk+X21LvL7EsFQSpmAxcCF\nwH7ge6XUZ1rrX8I1ZklJCZbCQs556RX+U1rCmVHRvrl4vVhqbI5sqsKd64jP6h+Svlprv61prjX7\n/bsjBYvJP5GovbWM8+IOcd7zzzWq3+qPsW/vvB2XyyUBtzixSEDQusjvq3WR35cI0unAVq31LgCl\n1PvAECAkAffGNWvYvHatX5tba6ylpVhLS/m+sJA/VGRt/3PyFPIy/DfPYQKnq/G514U714cpKGw9\n/bamudbs14uivEblEpc2oSoeO9X9Y8ZNFCXbavWXseUXTvvoI7/H2PGyQUICbiGEEOLEkgnsqXZ5\nL74gPCQO7NpF2p/+TOq27X7tUYWFtW6b364d/y1KJqfmcetuCU9E3YqSbfyzMIUCt6WqrWNEKREd\nO7fgrOonj2ghhBBChIzT62XHRRfy60UXBrx+6xdf8NXVVwNgAGdYDlNITLPH/TqulIsy8prdz/HU\n738rPl8T5Pht7WeQwBFMyuCrh+f4tZuBM5MKKOVoucFkVYSHKL56eI7fYwytj4vj4lt9WcCWnoMQ\nQgjRHMe6LKBS6kxgrtb6sorL9/mm4b9xUv7HClFbU5+vrTrgFkIIIUTjKKUM4Fd8myYPAP8HjNFa\nb27RiQnRhklKiRBCCHEC0Vp7lFK3AH/laFlACbaFCCNZ4RZCCCGEECKMWuWZp0qpa5VSG5VSHqXU\nwBrX3a+U2qqU2qyUuqSl5igCU0o9rJTaq5T6qeLjspaek6hNKXWZUuoXpdQWpdS9LT0f0TCl1E6l\n1Dql1Bql1P+19HyEP6XUUqVUtlJqfbW2JKXUX5VSvyql/qKUSmjJOdZHKXWXUsqrlEoOUX9PVfyf\nXquU+lgpFd+MvkL+90op1UEp9Q+l1Cal1Aal1MxQ9Futf1PF/8DPQ9hnglLqo4qf6yal1Bkh6vf+\niv7WK6VWKqWaVNA6XM+BOvpt9uMrUL/Vrmv086FVBtzABmAo8E31RqVUT2Ak0BO4HHhZHQ9bU0VN\nz2mtB1Z8/LmlJyP8VTsU41KgNzBGKdWjZWclguAFBmmtT9Fah6zEmwiZZfieU9XdB3yttT4Z+Adw\n/zGfVRCUUh2Ai4FdIez2r0BvrfUAYCtN/N7D+PfKDdypte4NnAXcHOK/g7cBP4ewP4AXgP/RWvcE\n+gPNThNSSnUGpgGnaK374UtFHt3E7sL1HAjUbygeX4H6bfLzoVUG3FrrX7XWW6ldz3wI8L7W2q21\n3onvhyz/eI4/8iLo+FZ1KIbW2gVUHoohjm+KVvo3/USgtf4XkF+jeQiwvOLr5cA1x3RSwVsI3BPK\nDrXWX2utK48V/A/QoYldheXvldb6oNZ6bcXXR/AFr5n13ys4FQHbFcAboeivos944Pda62UAFXFQ\n7cLnjVcIOIEYpZQZiMZ3Ommjhes5EKjfUDy+6pgvNPH50Nb+ONcs5r+PED1BREjdUvE2zxvH81uo\nJ7BAh2LI8+j4p4G/KaW+V0pNa+nJiKCkaa2zwRfgAWktPJ9alFKDgT1a6w1hHGYK8Kcm3jfsf6+U\nUlnAAI6WxW6uyoAtlJvo7ECuUmpZRarKEqVUVHM71VrnA88Cu/HFVIe11l83t99qjsVzoDmPLz/N\neT4ct1VKlFJ/A9KrN+F7cM7WWn/RMrMSwajvdwe8DDyitdZKqUeB54Cpx36WQrQ552itDyilUvEF\n3psrVmhE69EiVQzq+Zv9IPAAvrfPq1/X3H6r/o8rpWYDLq31u02bfXgppWKBVcBtFSvdze3vSiBb\na71WKTWI0L3jawYGAjdrrX9QSj2PL13j4eZ0qpTqAtwBdAYKgFVKqbFh/H2F9DkQysdXxQuYJj8f\njtuAW2t9ccO3qmUf0LHa5Q4VbeIYasTv7nVAXjwdf/5/e/cWKlUZhnH8/1CZaQWRoRdhqZ2TTuwy\nNCq084VJlFlSWmSRUUHQjXQRRFBdFCKRRXShmKWWdLjRi4JAO6joJjUsOtAB0SIoMDOpp4u1rNk1\n271nz1rMZM8PNjPrsN95N8y35t3ffOv7vgPGNmynHf0H2N5ZPn4vaTXFV+0puLvbLkmjbe+SNAbY\n3Ykk+rtmS5oInAz0lvdDnQhsknSR7QFzHeizQNJciqEVU1vNuUFt16tyCMUqYKntN6qICUwBpku6\nDjgKOEbSEtu3txn3W4qe143l9iqgihtIe4B1tn8EkPQ6MBmoquCurQ1U9P5qNIE22sOhMKSk8b+L\nN4FZkoZJGgecQjGhf3SJskEdcAOwtVO5RL82AKdIOqm8G30WRduKLiVpRNkTh6SRwFWkbXUj8e/P\nrLnl8zlAVUVdJWxvtT3G9njb4yiKuvMHU1wMRMUMVQ8D023vayNUnderl4DtthdWFA/bC2yPtT2e\nItd3Kii2KYdlfCPptHLXNKq5KXMHcLGk4WWROY32bsasqw30iVvh++uvuO22h67t4T4YSTOARcAo\n4G1JW2xfa3u7pBUUb7L9wHxnovFu85Sk8yhmVPgKuKez6cQ/ZVGM/6TRwGoVS3EfDiyzvbbDOUUD\nSS8DlwPHS/qa4qv+J4CVku6kmPFgZucyHBRT3RCIRcAwiuFPAB/Ynt9yQjVdryRNAWYDH0vaTPG3\nL+jymbUeAJZJOgL4Arij3YC2eyUtATYBvwObgReGEquuNtBP3AW0+f5qFvfATamlltpDFr6JiIiI\niKjRoTCkJCIiIiKia6XgjoiIiIioUQruiIiIiIgapeCOiIiIiKhRCu6IiIiIiBql4I6IiIiIqFEK\n7oiIiIgWSJoh6Y+GhWaGGmeOpEUtnr9bUtO5sCW9K+mCIeYyU9JnkrLQWQ1ScEdERES0ZhbwNnBL\nBbFaXRDlFdt3V/C6fZOwVwB3VR03Cim4I6IPST2SeiUNkzRS0lZJZ3U6r4iIbiBpJDAJuI+i8D6w\n/7Kyh3mlpE8kLW04dl25b4OkhZLeahJ3lKRVkj4sfyYPIpfhkpZL2ibpdWB4w7ErJa2XtFHSq5JG\nDDaXqF4K7ojow/ZG4A3gceBJYKnt7Z3NKiKia1wPrLH9DbBb0vkNx86jWGL9LGCCpMmSjgQWA1fb\nvhA4gea92guBp21PAm4EXhxELvcCe2yfTbGkeQ+ApOOBR4BptnsolmZ/qIVcomKHdzqBiOhKjwEb\ngL3A/R3OJSKim9wCPFM+XwncCmwutz+yvRNA0hbgZGAP8Lntr8tzlgPzmsS9AjhTksrtoyWNsP3L\nQXK5lKJQx/bHknrL/RdTFP3rynhHAO8DZwwyl6hYCu6IaGYUcDTFNWI4ReEdEfG/Juk4YCowUZKB\nwyh6iB8uT9nXcPrv/F1niYEJmGR7fzspNjyutT27z0Hp3EHmEhXLkJKIaGYxxdeRy4CnOpxLRES3\nuAlYYnuc7fG2TwK+lHTJQX5nBzBO0thy++Z+zlsLPHhgoyyOB/IeMLs8fyJwTrn/A2CKpAnlsRGS\nTm0hl6hYCu6I6EPSbcBvtl+hGMPdI+nyzmYVEdEVbgZW/2PfazSfrcQAtn8F5gNrJG0AfgZ+anL+\ngxTX215JW4F7BpHPcxRDT7YBjwIby9f8AZgLLC+HmawHTm8hl6iY7IyVj4iIiKiLpJG295TPnwU+\ntb1wCHHmAD22h3xvzcFyKTtXHrI9fajxo7n0cEdERETUa56kzWVP9LHA80OMsxe4pr+Fb9rJRdJM\n4FngxzZiRz/Swx0RERERUaP0cEdERERE1CgFd0REREREjVJwR0RERETUKAV3RERERESNUnBHRERE\nRNQoBXdERERERI3+BCetHIQUSVS6AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = SD.StructuredGrid.create(15, 15, scale=1, rotation=N.deg2rad(5.))\n", "print(grid)\n", "\n", "# Add distortions\n", "gdist = SD.GeometricDistortion(3 + 4j,\n", " Kcoeffs=[1e-3], Pcoeffs=[1e-3, 0, 1e-3])\n", "print(gdist)\n", "\n", "grid.xy = gdist.forward(grid.xy)\n", "\n", "fig = P.figure()\n", "length, angle, offset, center = grid.model_parameters(fig=fig)\n", "fig.set_size_inches((12, 10))" ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }