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@brandondube
Created August 4, 2019 22:01
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Smear-Jitter
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Motion Blur\n",
"\n",
"In this example, we will use prysm to examine the visual impact of motion blur on slanted edges. We begin by performing a few imports:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from prysm import Smear, Jitter, TiltedSquare\n",
"from prysm.otf import diffraction_limited_mtf\n",
"from prysm.detector import pixelaperture_analytic_otf\n",
"\n",
"from matplotlib import pyplot as plt\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we render a truth scene of a slanted-edge MTF target:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x1c1bb07278>)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pixel_size = 5.3\n",
"scene = TiltedSquare(sample_spacing=pixel_size, samples=1024, contrast=0.9, angle=4)\n",
"scene.plot2d()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we make a series of blur kernels describing \"smear\" motion blur - where the velocity is constant and the integration time is long enough that the trailing (smear) is appreciable."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"smear_lengths = [0.1, 0.5, 1, 2, 5, 50]\n",
"smears = [Smear(pixel_size * l) for l in smear_lengths]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We convolve the scene with each one to simulate an image made under those conditions:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"blurred_squares = [scene.conv(smear) for smear in smears]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We save each one to disk and show them here:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Hy3hDLlA+7FIs6uU89OjOo6WlpaSoF8fRI1EfGBjg6NGjSBoh6hs2bKjoeJcsWcLAwACzZs3iwgsvpKenhwULFnDeeefR399PZ2cnl1xySSFevmrVKsyMlpYWZs2aVTK23YhUy2OWtB74GpADvm1mXyjav5xgObvZYZ1PmNldVel8DFyY65joBN27dy89PT10dHTQ19fX8D/MsRiPhx5R/MAvYmho6KR6xW3Gwy7Rg8h4XL3UQ9WhoSGampoYHh4uhFoOHjzIjh07KjrOqK/Vq1dz9OhRLr/8cn74wx8yPDyceGp9vVCN45GUA24E/pBgcY2HJN1pZk/Eqv01cLuZfVPBwtB3ASsn3HkFuDA3AAMDAyPeZ12YJ8JERb047BKFR4rrRW3GR3FE8fNou3iqffTZ6DNRu8PDw2zduhWAxx9/vOGEOE4VR2VcCmw3s50Akm4jWOA5LswGzAy3ZzGFKyG5MDcASeORzuRQLuxSSSwdRoZd4h56ubHo8e3Ozk56enpYvHhxw1+YEwjzfEnxONJNZnZTuF1q0ebLij5/HfBLSf8VmAZcmdza8eHCXMdEJ2jkLRU/0HLSz0Q9dBgp6Oedd16hLAqfNBoJjumgma0rs6+SRZvfDnzXzL4s6WXA9yWdZ2aT/qTVf8l1SvyHu3///sJ2I/4QndJEoZD4uTBZwyUbkEoWbX4fcDuAmf070A7MnwrjXJgbgPg0ZSfbTJ8+vdYmTDpRnHms1xg8BKyWtEpSK/A2ggWe4zxDuKydpHMIhPmFKh9OSTyUUafET7zHHnusUNbo8UXnZOLf+7p15e7cG4dq3BWa2ZCkDwF3EwyFu9nMtki6HthgZncCHwW+Jen/IwhzvNum6JbUhbkOKX6oFCUU8jCGUzysr9GoZq6McEzyXUVln45tPwH8XlU6S4gLcx1SnAwnSs7j3nI2iX/vWRihkwUHxIW5DolneTMzNm3aBATekotztiieDBONymjk88CF2Uktkdc8NDTEoUOHCmVOtkm68EA9koXz3IW5jonyISfNM+w0FuUmnTQi8dmVjYwPl6tTIlE+duwYu3fvLiSGd7JHU1MTfX19zJ07l8WLFxfKnPrFPeY6p6+vj97eXlpaWnxyQcbJQmY58FAGAJLmVtBO3syOVMEeJyHRKtVZOFmd0YmnJm1ksnCuV+IxPxe+RvvGc8DyqljkVER0cj7//PMMDw/T3t6e6mT5zuQQpf0cGhri/PPPp6OjY0TKz0bEhTlgq5mtHa2CpEeqZI9TIdHJeeDAAYARC6I62SQaw9zowtXoxweVCfPLqlTHmQQ6OzuBbJyszug0+qw/8FEZBcysrxp1KkHSzZIOSHo8VjZX0j2Sngr/zgnLJenrkrZL2iTpothnrgnrPyXpmmrYlla2bNkCuKecZaKwxUte8hLgxEW6US/WVUpilGoqDkRJWifpZ5IeDoVws6RNVbbnu8D6orJPAPea2Wrg3vA9wFXA6vB1LfDN0M65wGcIkl5fCnwmEvNGIS7C0bpyTnaJzocZM2acVNaIZEGYkwyXuxX4GLAZmJR7CTP7jaSVRcVXA68Mt28B7gM+HpZ/L8z2dL+k2ZKWhHXvMbPDAJLuIRD7H0yGzbUmnuax3k9GZ2JkIZSRFZII8wthKrypZpGZ7QMws32SFoblpZaGWTpK+UlIupbA22b58voYVBJfIw5OrF6Sz+cb2ktyxuaSSy4pbDfyRbqRjy0iiTB/RtK3CcIJhXXgzeynVbeqMsotDVPJkjFBYbD+100A69atq8tvO1pZOQsnqzM68VBGo9IIYYpKSCLM7wHOBlo4EcowYLKFeb+kJaG3vAQ4EJaXWxpmLydCH1H5fZNsY82IQhnuLTtZmfmZxlEZ1Z6Il0SYX2Jm5yeoXy3uBK4BvhD+vSNW/qFw2fHLgKOheN8N/PfYA79XA5+cYpsnnWihzWeeeQYIfpQuztkiCmkNDg4CcMYZZwCNf5FOqcdc1Yl4SYT5fklrwqz+k4KkHxB4u/Ml7SUYXfEF4HZJ7yNYg+utYfW7gNcC24EeAo8eMzss6XMEa3oBXB89CGwUogRGvb297NixA0inF+FMDZFQtba2Ai7MNaKqE/GSCPPlwLsl7SSIMQswM7sgQRujYmZvL7PrihJ1DfhgmXZuBm6ull1pxMzI5XKFhVgb/cfojE0WLs4pjjFXdSJeEmEuHl8MgWvuTDGRx3z8+HEOHTpEU1NTJn6Uzsk0NTUxODjI0qVLmTdvHuAX6VoQTbKT9Oky+69PMhEviTAXz6DLAe8CViVow6kCkcdw6NAhenp6PIFRhom+87a2tsxkGUy5E3I8tt0OvA7YmrSRJMIc77AFeAVwe9IOneoRrVziY5idwcHBTIgypDbGDICZfTn+XtKXCAYqJKJiYS7R4d9w4gGbUwP2798PBJnlBgcHXZwzRvScYXBwkHPPPZfW1taGT/kJ6RbmEnQCpyX90ERWMJkDPD+BzzvjJDoxd+3aBZwYOtfoP0jnZKKL8YIFC4Dg7ik6HxqRFD/8A0DSZk5MaMsBC4Drk7ZTsTAXdShgJXAoKq/m6AynMuJ5MtxbzjZ9fcFzpeg8iKbuNyIpP67XxbaHgP1mljiJSRKP+XVjV3Gmkuef9xuWrBPdJZ177rlA46f8hHQfm5ntrkY7SWLMVenQqR6PPfYYkO4T1Zk84t/7woULC9uN7C1DOs93SX8+2n4z+0qS9ipZjPVhM7toonWc6hAPWbS3t59U5mSTnp6eWpswJaR4BZMog9RZwCWcGInxeuA3SRurxGM+Z4yE+AJmJe3YSU5xys+DBw8C6fQgnMkn7hlfdNEJv6jRz4c0Hp+ZfRZA0i+Bi8ysK3x/HfCjpO1VIsxnV1AnG2mtUkIkzJs3bwaCBOnuNWebOXOCnF1ZOA/SKMwxlgMDsfcDBAMlEjGmMHtsOb1EC7FGw6Oy8KN0ShONyki5aFWFlB/j94EHJf2MYBTbm4DvJW1kIuOYnRoQCfDQ0BAvvPAC4Ck/s0j8PABYvHgx0Pges5mlOu+0md0g6RfAy8Oi95hZxVnlIlyY64xotldXVxc7d+70BEYZJhLmjo4OD2Wki6cJtLUdmCHpFWaW6AHgmFPFJN1VYoFUp0ZEP7zm5mZaW1s9hJFhotme/f39hWT5WSDNq2RLej/BKIy7gc+Gf69L2k4lc3i/C/xS0qcktSTtwKku0Ql3/Phxuru7M5NRzDmZpqYmhoaGWLJkSaaWGEuzMAN/RjBcbreZvQpYC7yQtJFKHv7dLumfgE8DGyR9nxNr/iUeOO1MjOiE27dvX+E2tq+vz/NkZJDoO1+yZAnt7e2ZSWCU8tBdn5n1SUJSm5k9KemspI1UGmMeJEj72UYwkDrV/5ksEKX8jPCQRnY5fvx44QFwFs6DlN8h7pU0G/g5cI+kFwnWAkxEJTP/1gNfIZjJcpGZZWOKUco5fvz4iPeN/mN0RhI9BIYgT0Yul2NoaKhQ1sik2WM2szeFm9dJ+jXB5Lt/TtpOJR7zp4C3mtmWpI071SU+0+uRR4IROI2c4tEZnehifMoppwDZSWBULWEOnc6vEaTn/LaZfaFEnf9I8PDOgMfM7B0JbP2/47Wtkhjzy8eq40w90YrIjlN899ToVOPCIykH3Aj8IbAXeEjSnWb2RKzOauCTwO+Z2YuSFpZurfo5hXwcc51y9OjRwraHMbLN0qVLa23ClFKlO4JLge1mthNA0m3A1cATsTp/CtxoZi+G/R4Ypb2q5hRyYa4j4idkFMpo5NtWpzzxh3znnXdeobzRU35ConN+vqQNsfc3mdlN4fZSYE9s317gsqLPnwkg6XcE4Y7rzKxcvLiqOYVcmOuUlhYfUu4EHDt2rNYmTBkJxygfNLN1ZfaVus0sbrgZWA28EjgV+FdJ55nZkRJ2VTWnUMWDHhXwTkmfDt8vl3RpNY1xyhNfMgigu7sbcI85q8Q945UrVxbKs3A+DA8PV/Qag73Astj7Uzl5WNte4A4zGzSzp4FtBEI96SQZjf4N4GXA28P3XQTBc2eKiKbgDg8P8/DDDwOe8jOLROIbjU5YsWIFkJ1nDVWa+fcQsFrSKkmtwNs4kdw+4ufAqwAkzScIbeys8uGUJIkwX2ZmHwT6AMKAuA8NqAGSaG5uLmw72aL47ilK+ZkFKhXlsYTZggVSP0SQy2IrcLuZbZF0vaQ3hNXuJlhw+gng18DHzOzQaO1WK7KQJMY8GA4xsbDDBfgMwJqQz+cL6R6zcOvqjCSe8lMSc+fOBbJzka7WOGYzuwu4q6js07FtA/48fFXKNwh08Q+A6wkiCz8hyJ9RMUk85q8DPwMWSboB+C3w35N05kyMKJRx7NgxduzYQS6XS/UsKGfyaGpqYnBwkLlz52Yq5SekPolRVSILSVbJvlXSRuCKsOiNZrY1aYfOxMnn8+TzeSS5MGeUeMrP+N1To4tzHSQxqkpkoWJhltQGXEQwSLoZeGv4ZPj6pJ06EyOfz2fiR+iUJ/KYFy1aRFtbW6bOh5SH76LIwsIwsvAW4K+TNpIkxnwHcBTYCPQn7WiqqWQefL2Rz+fJ5XI8/fTT5PN52tvb6e3tbfhUj85IogRGg4ODrF69mtbW1swkMILUJzGKRxbEOCMLSYT5VDNbn7SDWlDJPHjHaQSiPBlZ8pZT7jFjZk8CT06kjSSu1r9JOn8inU0hhXnwZjYARPPgG4IsLSPklCYS4oULg7w6aRerapLmh3+SbgnzMUfv50i6OWk7STzmy4F3S3qaIJQhghElFyTtdAqoZB48kq4FrgVYvnz51Fg2TuIe0UMPPVQoy9IP0jlBFL5as2YNcOLBX5pv86tFys/5C+JTtsOsdGuTNpJEmK9K2ngNqWQePGFCk5sA1q1bl+pvO070FN5x4pNLUi5YVcHMKpluXUuaJM2JMtJJmss4chIlGS63W9Icgrni7bFdVU3eUSUqmQdft/jDPidi/vz5tTZhykn5BejLwL9L+lH4/q2MY75HkuFy7ydYAfZU4FHgpcC/E8xwSRuFefDAswTz4CteeSBtFK/ltmlTkPY1GsvsZJeLL7641iZMOWkWZjP7XphqNNLFN49n0EES16sqy3JPBeXmwdfWquoRZZZzsklcmHp6srcEZ8of/rUBFwIzgbnAW6K8GUlIEvuoyrLcU0WpefCNQpTAyMkm8Ye+8+bNq7E1U0+aPWaqNN8jyS+8KstyO+MjPqlg48aNgKf8zCLxBEaQ3ZSfKaYq8z2SPPyryrLczsTI5/P09vYCqfccnCkgiyN0Uj4k8N8knW9mmyfSyLjuiW0Cy3I7EyeaepsVL8k5meiiHC0xlqVzIeUOSVXme4wpzJK6CMYAR9989F+JOpyZpENnfETZxA4fPszevXtpaWlJ+3hOZ5KIQlrLli1j3rx5mUtglHKPuSrzPcYUZjObUY2OnIkReQmDg4OZ+iE6JxOdC1m9MKfZY67WfI9KPOZ24APAGcAm4OZwOJpTA1yQnegcaG9vz+RkozQLc7Xme1Tyrd4CrAM2A68lmNniTDHRybhjxw4gGDLnnnP2MLPCcMmLL764ENLK0nkQLRQx1qtGVGW+RyUP/9aY2fkAkr4DPJi0E6d6RJNLsvRDdEqT8ljrpFAHw+WqMt+jEmEu5Jg0syEXhNrS0dFRaxOclNDZ2VlrE2pCyoW5KvM9KhHml0g6Fm4L6Ajf+6iMGvDII4/U2gSnhkSjcwBe8pKXFMqykvIT0i3M1ZrvUcmojGysV1Mn7N+/v9YmOCkhzQI1mdTLcU9kvocnXagD4uGjrN6+OieTxREZkE5hlvRbM7u8aN5H4W/SyIILc8opTvn5xBNBBsGs3LY6I4knMLrkkksK5WkUq8kgrYnyzezy8G9V5n24MNcJkTBHoYys/BCd8rS2ttbahJqQxnNf0p+Ptt/MvpKkvSSJ8gX8MXCamV0vaTmw2Mx8+NwUEJ2MHspwsk4ahRmIPOWzCMYx3xm+fz3wm6SNJfGYvwHkCWawXA90AT8JjXAmkSjlZ19fH48//jjgKT+zSBTSGhgYoKmpiZUrVwLZijWndRyzmX0WQNIvgYvMrCt8fx3wo1E+WpIkwnyZmV0k6ZHQkBclZfNeaoqJhkgNDg5y7NgxX3YVCgcAABhRSURBVB07w0QXY0mZXTAh5ef+cmAg9n4AWJm0kSTf7KCkHGF2OUkLCDxoZ5KJfoy5XI7W1taC55TyE9SZRLLkJReT8vP++8CDkn5GoJVvAr6XtJEkwvx14GfAQkk3AG8B/jpph05yohPxyJEjvPjiizQ3N/uojIwS3TmdeeaZzJo1K5ML8qb53DezGyT9Anh5WPQeM0s8KyzJCia3StoIXEEwNu+NZrY1aYdOciJhPnz4MPl8nra2Nvr6+jLtNWWVSISbm5sz+f2nNcZcxNME2toOzJD0CjNL9AAwUZDKzJ4EnkzyGad6tLcH6V2jE9Ozy2WXaBWbLJJmYa5W2s8kw+VKjdM7Cmw0s0eTdOokIzoR9+zZA5yIL7ooZ4so5efAwAAXX3xxIayRtYeAaQ5lcCLt5/1m9ipJZwOfTdpIknuhdQQJ85eGr2uBVwLfkvSXSTt2KiMuvjt37iyUpdlrcCafaK2/iCydD1E4Y6xXjegzsz6gkPaTYGxzIpJcaucRjM/rDjv9DPBj4BXARuBvknbuJGPmTE/k5wRkcXVsqIs1/6Ys7WdE8fi8QWCFmfVK6k/asVMZ8St/lCfDY8vZJfreL7zwwhpbUjvSencQzo7+sJkdYbLTfsb4R+B+SXeE718P/EDSNOCJpB07yXnmmWdqbYJTQ+KCNHv27MJ21kJbaT1WMzNJPwcuDt+PO+1nxTFmM/sc8KfAEYKHfh8ws+vN7LiZ/fF4DXAqZ/r06bU2wUkJ/f3ZvUmtVoxZ0npJ2yRtl/SJUeq9RZJJWleBefdLmnCaiqSPc3cCOYLxeZ3jGZ/nVE58+i3Avn37gPR6DM7kEl+lZO3atYWyLJ0P1XqwF85ivhH4Q2Av8JCkO83siaJ6M4APAw9U2PSrgP8saTdwnBP5mC9IYl+S4XJVGZ/nJCPKkzE8PFxIYJS1VZGdky/G06ZNq5EltadKF6JLge1mthNA0m3A1Zwclv0cwcCGv6iw3auqYVyS4XJVWZbbSUbkEeVyuUz/GLNO8YU4q6MyIBjHXMkLmC9pQ+x1bayZpcCe2Pu9YVkBSWuBZWb2fyqxK3z4lzez3cWvpMeYJJRRlWW5nWREHnNfX58nyc8w0XkwMDBAR0cHp556KpDNSUYJzv+DZlYuLlzqH1doWFIT8FXg3QnsGvHwbyIk8ZiLx+fdwTjG55VC0lslbZGULw6wS/pkGJzfJuk1sfKSgXtJqyQ9IOkpST+s99Sk0dC47u5unn32WZqbm1O5tI4zNUS5UqIJJlkT5kof/FUg3nuBZbH3pzJSz2YA5wH3SdpFELq9s4IHgFV5+JdkVMabzOyImV0H/DfgO8AbJ2pAyOPAmynK9C9pDfA24FxgPfANSblY4P4qYA3w9rAuwBeBr5rZauBF4H1VsrGmtLS00NbW5mOYM06UKD96CJjFu6cqCfNDwOrQkWsl0Jlo1RHM7KiZzTezlWa2ErgfeIOZbRij3VcRiPMOSZskbZa0KekxjmuS/UTG55VpbyuUvPpfDdxmZv3A05K2EwTtoUTgXtJWgoeR7wjr3AJcB3yzmvZOJfGUn729vbS2tmY6vphlotwYK1asoLOzM5MpP6E6FyMzG5L0IeBugpFmN5vZFknXAxvM7M7RWyjLek6EScZtaJJRGeuATwEr4p9LOgwkIUsJrlQR8QB9ceD+MoJp40fMbKhE/ZMIHwZcC7B8+fIqmVxdopMwGirX3NzM4OBgJlM+ZpnoAfDg4CCLFy8uhLSyeB5Ua0q2md0F3FVU9ukydV85WluSuigtxArLE+VTSOIx3wp8DNjMOFYukfQrYHGJXZ8ysztKlEP5AH2ps9FGqV8SM7sJuAlg3bp1qbwnjDyi4pSfTraIj2E+fvx4ja2pHTVOUFQWM5sxdq3KSSLML0zAvcfMrhzHx0YL0JcqPwjMltQces3FAf26IzoJ9+7dC2TvYY8TYLGUn+eff36hLItk4biTCPNnJH0buBcozAc1s59W3aoT3An8o6SvAKcAq4EHCTzj1ZJWAc8SBO7fEQ5X+TXBsle3AdcA5bzx1BMX4SeffLJQloUT0zmZ6HxYtGgRcGLETsqzrVWdLJz/SYT5PcDZQAsnQhkGTFiYJb0J+J/AAuCfJD1qZq8Jg/G3E8zGGQI+aGbD4WdOCtyHzX0cuE3S54FHCEaP1D0+ucSJBCkeysiCSBWThWNOIswvMbPzJ8MIM/sZwUKvpfbdANxQovykwH1YvpMTIzfqmvgJ+MILJyZZejgjm0Tf+wUXTObz9vTjwjyS+yWtKU7y4UwOxQmMtmwJbgiydtvqnMwpp5xSaxNqhqU/UX5VSCLMlwPvlrSTIMY8rqxJTmUUTyRpa2uroTVOrYl7id3d3TW0pPa4xzyS13BiTJ4zyRR7zIcPHwaycVI6Iyl+yLdixQoguyGtLPwGxhTmag+cdionSlzT39/Ppk3BrE5P+ZlNJBVypCxeXGo6QDbwUEZItQdOO8nJ5XK0ttZ1LiZngkQXacj26iXgHrOTAiTR399PV1cXkI2T0jmZKE9GR0cHc+fOBTyU0ci4MKeYfD5PU1MThw8f5sCBA57AKMNEwjx//nymT5+e6SyDHspwakr0w2tuDr6mLHgKTmmi776np4fh4WFaW1szeT6kNVdGtXFhTjHRCTgwMABk99bVoRBfXrVqFW1tbZlN+QnZcFCylzOwjohOwO3btwNBsvws38JmlSjlJwTC3NTUlInb+XJUKVF+qnGPuQ6IfpROdomEJnoInGXqXXQrwYW5Doh+jPl8foRHUOw5uyfduEShjDPPPBPIhjiVwswysealC3Md8OijjwLQ2dlZOCmbmpoYGhoq/ECLB95H5ZWKt4t6eolfhOMr7WQx5Sf4qAynhsSF8tixYwAcOnTopHq5XK6QRL25ubnwI45/PnpQlM/nCzMH8/n8iBO8eEZhEo/cRX1yif9/PU9G/cePK8GFOaXEhXH9+vUcOnSIhQsX8uSTT7J7926mTZvGzp07OXjwIG1tbXR3dxdGb1SCpIKQNzU1lXywGHnhUXL++BjqSMiLPfVSIu0hl+qxdOmJJSyzIFClcI/ZqRnRk/h8Ps8VV1zBFVdcMWKfJHp7e+nv7yeXy/HCCy/w4osv0tHRwXPPPccTTzzBzJkz2bFjBzt27KCzs5Pdu3fz1FNP0dnZyf79+zl8+HAhJJJU1KMhW01NTSUfTsYFO/LUI0qFXKJ2S22X6j9rRP+naFmpLJOFC5ILc0qJvFFJI2LJ8TBFR0cHHR0dAMyYcSKlyZo1a7jyytJLLA4ODpLL5ejp6aGrq4vW1laOHTvG7t27aW9vZ//+/Tz66KNMmzaNffv2sXXrVjo7Ozl69CibN28ml8vR19dXyHaX5Hiiv9HCssCIVZ7jP7jomKPkPfEMa/G4enH7xdulbKhHItt7e3trbEntcWF2akYkRJHnHP0w4ydlsUjFPxMnKmtqaiqEL6ZPn8706dMBmDdvHqtWrSrUv/rqq0va1NfXV7hQHDhwoCDw27ZtI5fLMTAwwIMPPsjw8DBDQ0M8/PDDhe0nnnii4EX39PQk+l/Ewy7t7e00NTWVDLtExz08PDwirh7fHmsceKmwSy3HjkfHFN1lzJs3r2BXFvFRGU7NKRZdONkzHMs7LBbpcp5nOS+k2NM1M9ra2kYI+dlnn13YfvOb31yyneih1fDwMM8++2xBLDdv3kx3dzdNTU08/PDD9PT0FLaPHz9Oa2sru3fvpquri+bm5sQeYy6XK4RdmpubS/6/4v+LuKjHwzHlvoNS78cqT4qkwp1OtHpJVoUZPMbspJBKb+NK1YsL+XhEPS5S5eLEceJhisg7B5g1a1Zh+9xzzy1sv/e97x3RZhTD7urqoq+vj+bmZvbu3cuxY8dobW3lscce4+DBg3R0dLB9+3Z2797N9OnT2bZtG88++ywdHR3s37+fvr4+gIrj6E1NTQwPD5PL5QoXo6amppM89IjooWixkE8kll5K/JM+C2hEfFSG03CMR9TLiUi52YjlRD1++xnfV86mKHxjZsycOZOZM4P1GKKUlwCXXlp6zd18Ps/AwAC5XI6urq6CkO/du5fnn3+eGTNmsGPHDp588kmmT5/OM888w7Zt25g5cya7du1iz549tLW10dPTk9hDj490iefQLh6+GFE80iVeJ+6hDw4OMmPGDF8tHY8xO07iH0E5UY97z8WMFXYpFvWxwi5NTU0FT3fu3LkFMY8vYvqqV72qZBtDQ0P09vaSy+Xo7+9n3759tLS0cOTIEbZs2UJHRwf79u1jy5YttLW1cfz4cTZu3FiIt+/cuZNcLsfQ0FDiWHpLS0vhYlS83d3dzRlnnMH06dMzncAIPJThOBOiWmGXcqJeLrQAjBiqF4+rl2sn/oA0GuHS2dnJnDlzCvUuueSSUe0fHh7m2LFjheXAdu/eXRDVSLwHBwd59NFHGRoaYnh4mA0bNhTi2nv27Cm0OTg4eFI/Tz/9dCG8k2XcY3acGlHJj6/c6JPiWHpEsaCV8tSjp/5RW5WGXSJRj4daFi1aVNh++ctfXvKzkQDn83kOHz5csP/pp5+mp6eHXC7Hhg0bOHz4MEuXLs20pww+KsNx6o5S45srqV9upMtooy/KXRTKTaQp1060CALAkiVLSm7Hwy6jDYvMClk4bhdmJ/NMNOQS3y7noZcT9eJx6aW240QPXbMgTqUoHu3SqLgwO84EGO9Il1LJpsYS9aR3BI1KFo7fhdlxppjxhlycAPeYHcdxUoQ//HMcx0khWbiDcGF2HKeuyIIwp2KkuqS/lfSkpE2SfiZpdmzfJyVtl7RN0mti5evDsu2SPhErXyXpAUlPSfqhpNbi/hzHqU+iURmVvOqZVAgzcA9wnpldAPw/4JMAktYAbwPOBdYD35CUk5QDbgSuAtYAbw/rAnwR+KqZrQZeBN43pUfiOM6kEo3lHutVz6RCmM3sl2YWZXO5Hzg13L4auM3M+s3saWA7cGn42m5mO81sALgNuFrBuKI/AH4cfv4W4I1TdRyO40w+1fKYy911x/b/uaQnwjv5eyWtmJQDKkEqhLmI9wK/CLeXAnti+/aGZeXK5wFHYiIflZdE0rWSNkja8MILL1TJfMdxJotqhTLGuOuOeARYF97J/xj4m0k4pJJMmTBL+pWkx0u8ro7V+RQwBNwaFZVoysZRXhIzu8nM1pnZugULFlR+MI7j1Iwqecwl77rjFczs12YWpQiM38lPOlM2KsPMSi9CFyLpGuB1wBV2IkC0F1gWq3Yq8Fy4Xar8IDBbUnPoNcfrO47TAFQpflzqrvuyUeq/jxN38pNOKkIZktYDHwfeELtCAdwJvE1Sm6RVwGrgQeAhYHU4AqOV4AHhnaGg/xp4S/j5a4A7puo4HMeZfBI8/JsfhSrD17WxZiq+u5b0TmAd8LfVP5rSpGUc8/8C2oB7wrwA95vZB8xsi6TbgScIQhwfNLNhAEkfAu4GcsDNZrYlbOvjwG2SPk8QI/rO1B6K4ziTRcIRFwfNbF2ZfaPdjReQdCXwKeD3zaw/ia0TIRXCbGZnjLLvBuCGEuV3AXeVKN9JED9yHKcBqVIoo3DXDTxLcNf9jngFSWuBvwfWm9mBanRaKakQZsdxnEqpRq4MMxsqddct6Xpgg5ndSRC6mA78KLyTf8bM3jDhzivAhdlxnLqhmpNHSt11m9mnY9ujDliYTFyYHcepK+p9Vl8luDA7jlNXuDA7juOkDBdmx3GcFOGJ8h3HcVKIe8yO4zgpw4XZcRwnZbgwO47jpIhGSIJfCS7MjuPUFfW+bFQluDA7jlNXuDA7juOkCA9lOI7jpBAXZsdxnJThwuw4jpMyPMbsOI6TIjzG7DiOk0LcY3Ycx0kZ7jE7juOkDBdmx3GcFGFmHspwHMdJG+4xO47jpIwseMzKwtWnEiS9AOyewi7nAwensL+kuH0TJ+02TrV9K8xswUQakPTPBHZXwkEzWz+R/mqFC3ONkLTBzNbV2o5yuH0TJ+02pt2+LNNUawMcx3GckbgwO47jpAwX5tpxU60NGAO3b+Kk3ca025dZPMbsOI6TMtxjdhzHSRkuzI7jOCnDhXmSkPS3kp6UtEnSzyTNju37pKTtkrZJek2sfH1Ytl3SJ2LlqyQ9IOkpST+U1FoF+94qaYukvKR1Rftqbt8Ytpe0Y7KRdLOkA5Iej5XNlXRPeOz3SJoTlkvS10MbN0m6KPaZa8L6T0m6por2LZP0a0lbw+/2z9Jmo1MhUX5Tf1X3BbwaaA63vwh8MdxeAzwGtAGrgB1ALnztAE4DWsM6a8LP3A68Ldz+O+C/VMG+c4CzgPuAdbHyVNg3it1l7ZiC7/QVwEXA47GyvwE+EW5/IvY9vxb4BSDgpcADYflcYGf4d064PadK9i0BLgq3ZwD/L/w+U2Ojvyp7ucc8SZjZL81sKHx7P3BquH01cJuZ9ZvZ08B24NLwtd3MdprZAHAbcLUkAX8A/Dj8/C3AG6tg31Yz21ZiVyrsG4WSdkxifwXM7DfA4aLiqwmOGUYe+9XA9yzgfmC2pCXAa4B7zOywmb0I3ANUZXaame0zs4fD7S5gK7A0TTY6leHCPDW8l8AzgeCHsie2b29YVq58HnAkJvJR+WRRr/bVikVmtg8CYQQWhuVJ/49VRdJKYC3wQFptdMrjSYwmgKRfAYtL7PqUmd0R1vkUMATcGn2sRH2j9EXSRqlfFftKfWyq7BsnU93feCln56TbL2k68BPgI2Z2LLipKV21jC318j9uWFyYJ4CZXTna/vChyeuAK8wsOrH3Asti1U4Fngu3S5UfJLjFbA690nj9CdlXhimzb5yMZl8t2C9piZntC8MAB8LycnbuBV5ZVH5ftYyR1EIgyrea2U/TaKMzNh7KmCQkrQc+DrzBzHpiu+4E3iapTdIqYDXwIPAQsDoc4dAKvA24MxT0XwNvCT9/DVDO260GabevpB2T2N9Y3ElwzDDy2O8E3hWOfHgpcDQMI9wNvFrSnHB0xKvDsgkTxvu/A2w1s6+k0UanQmr99LFRXwQPzfYAj4avv4vt+xTByIJtwFWx8tcSPEnfQRBuiMpPIxDH7cCPgLYq2PcmAs+oH9gP3J0m+8awvaQdU/Cd/gDYBwyG/7v3EcTY7wWeCv/ODesKuDG0cTMjR768N/xfbQfeU0X7LicIOWyKnXevTZON/qrs5VOyHcdxUoaHMhzHcVKGC7PjOE7KcGF2HMdJGS7MjuM4KcOF2XEcJ2W4MDuO46QMF2bHcZyU4cKcUSR119oGAEnDkh6V9LikH0nqDMsn1b4wd/HTkuaG7+eE71cU1VspqVfSo1XqtyM83gFJ86vRptN4uDA7tabXzC40s/OAAeADU9Gpme0Bvgl8ISz6AnCTme0uUX2HmV1YpX57w7Zqmd/DSTkuzBkm9AaflPTt0GO9VdKVkn4XrlxxaazuzyVtDFfGuDZW/t/CNu6R9ANJfxHb905JD4Ye4t9Lyo1h0r8CZ5Sw86S+Q9u3SvpWWP5LSR0J+/0q8FJJHyGYzvzlCv9n8RVM/kLSdUn+l44zFi7MzhnA14ALgLOBdxCI1F8AfxWr914zuxhYB3xY0jwFS1L9B4K8v28O9wEg6RzgPwG/F3qIw8AflzNCUjNwFUHOhmJO6jssXw3caGbnAkeA/5CkXzMbBD5GINAfsSDx/kSo9H/pOKPiaT+dp81sM4CkLcC9ZmaSNgMrY/U+LOlN4fYyAlF8KXCHmfWGn//fsfpXABcDD4X5gDs4kW4yTkcsfvuvBNnRiinV9/Oh7dFnN4b2zq6w34irCBITnUewUsdEqPR/6Tij4sLs9Me287H3ecLzQ9IrgSuBl5lZj6T7gHZKJ1SPEHCLmX1yjP57R4vfjtJ3se3DBCJcab9IuhD4Q4ILzG8l3WbhSh9jfTS23RLbHvN/6TiV4KEMpxJmAS+Gwng2gZAB/BZ4vaR2Batm/FHsM/cCb5G0EAorNY8Y8TDBvstRUb9h7uJvEoQwngH+FvhShTatkLRAUhPBAq1jxc4dJxEuzE4l/DPQLGkT8DmCxWUxs4cIkq0/BvwU2AAcDfc9Afw18Mvwc/cQrOJclb7LkaDfPwWeMbMofPEN4GxJv1+BTYeA7xGETx4H3oWLs1NFPB+zMyEkTTez7nD88W+Aay1cqbkRULCo6f8Jh/Od9H4C7e4iSEx/cGIWOo2Ie8zORLkpfHj3MPCTRhLlkGFgVrUnmBDEpvPVaNNpPNxjdhzHSRnuMTuO46QMF2bHcZyU4cLsOI6TMlyYHcdxUoYLs+M4TspwYXYcx0kZLsyO4zgp4/8HvVRF7wMcmAcAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for square, blur in zip(blurred_squares, smear_lengths):\n",
" square.plot2d()\n",
" plt.title(f'smear length = {blur} pixels')\n",
" square.save(f'square-blurred-by-{blur}px-of-smear.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we model the analytic MTF of the system, assuming a diffraction limited F/5.6 lens and 100% fill factor pixel:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(0, 1), Text(0, 0.5, 'System MTF'), (0, 0.5), Text(0.5, 0, 'f / fs [cy/px]')]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"freq, lens_mtf = diffraction_limited_mtf(5.6, .55, samples=1024)\n",
"camera_mtf = lens_mtf * abs(pixelaperture_analytic_otf(pixel_size, pixel_size, freq/1e3, 0))\n",
"fs = 1 / (pixel_size / 1e3)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(freq / fs, camera_mtf, label=0)\n",
"\n",
"for smear, length in zip(smears, smear_lengths):\n",
" blurred_mtf = camera_mtf * abs(smear.analytic_ft(freq/1e3, 0)) # freq is cy/mm, afts take cy/um\n",
" ax.plot(freq / fs, blurred_mtf, label=length)\n",
"\n",
"ax.legend(title='smear length, px', ncol=3, loc='upper right', bbox_to_anchor=(1.1, 1.1))\n",
"ax.set(xlim=(0, 0.5), ylim=(0,1), ylabel='System MTF', xlabel='f / fs [cy/px]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we repeat the same with \"Jitter\" type blur. This is the type of blur that results from rapid motion in a random direction."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Rb29vZ2BggPnz558h8K1Iguf8oJmtHeFYNWuDvhX4ppn9jaTLgW9LutjMJr2FvXV/72SIzZs3Ax5nzjKRkC9btqzct71VqdHSUtWsDfpu4I6wzl8AncCcGl3GqPib3AJE/Xxb1UNyxqbShFLOqDwILJV0gaR24C0E64jG2UG4epKkFQTCfKAexnkoowVob29vtAlOSjjnnHPGztTk1CJkZ2ZDkt5LsFBzHrjFzJ6UdBPwkJmtA/4U+Jqk/4sgzPEOq1O80IW5iYm8pKgF32PM2SV6Fi655JIGWzL51Oo5D/sk3zUs7eOx/Q0Ei0TXHRfmFuDQIV8E3Alo9S9nnyvDaRpafUCBMzaRWGXhWXBhdlJNLpejWCyyceNGwBt+skx071esWAG0dkOwC7OTeorFYjmUkYUH1qlMdO/b2lr/lc7Cc976d7HFkZSJl9Gpjlb2lGF8g2+aEe/H3KREXsOxY8d49tlgZGkWHljnbKIBJfPmzePcc88tpznNi7taTUo05Lavr6+8OoiTbXK5XCZGf3ooA5DUXUU5JTM7UgN7nIS0tbVRKBR8VjmHQqGQCU/ZhTlgd7iNdsfzwHk1schJxP79++nr6/MpPzNMPp9naGiIVatWlZfOamWBdmEO2Ghml46WQdKva2SPUyXRwxlNzB51nXOyS1aG5rswB1xeozzOJBC9jFl4WJ3RyULjr/fKCDGzvlrkqQZJt0jaL2l9LK1b0j2SNod/Z4XpkvRFSVskPS5pTeyc68P8myVdXwvb0sqmTZsAb4XPMtG9X758OdD6Al2jaT9TTdVNuJLWSvqhpEdCIXxC0uM1tuebwNXD0j4M3GtmS4F7w88A1wBLw+0G4Cuhnd3AJwhWI3gx8IlIzFuRXbt2AS7MWSa691mYWQ6yIcxJusvdBvwZ8AQwKV/JZvZTST3Dkq8Frgj3vwXcD3woTL81nIbvAUkzJS0I895jZocAJN1DIPbfmQybG01XV1ejTXBSgrcxtA5JhPlAOEdpvTnXzPYAmNkeSfPC9Eprdi0cJf0sJN1A4G2XVxxuFiIvKVq9pNk9BGf8RPf+0ktHbaNvGbLwrCcR5k9I+jpBOKE/SjSzH9TcquoYac2uatbyChKDhRlvBli7dm1T3e1ImPft2wdk42F1Rmf69OmNNmHSaYUwRTUkEeZ3AsuBAqdDGQZMtjDvk7Qg9JYXAPvD9JHW7NrJ6dBHlH7/JNtYd6K+qp2dnY02xUkJWRAsSGfjZq0H4iUR5heYWSOWR1gHXA98Jvx7Zyz9vZJuJ2joOxqK993Ap2MNfq8BPlJnmyedqN/yzp07gey8lM7ZRLHlnp4eoPUbglP6rNd0IF4SYX5A0spwuZVJQdJ3CLzdOZJ2EvSu+Axwh6R3EyyO+OYw+13Aa4EtwCkCjx4zOyTpkwSLLQLcFDUEtgrxeTK2bdsGpNOLcOqDmZHP5+no6Gi0KXUhpcJc04F4SYT5pcA7JD1NEGMWYGa2OkEZo2Jmbx3h0Ksq5DXgPSOUcwtwS63sSiv5fL48wERSWh9Yp05k4f6nOMZc04F4SYR5eP9iCFxzp0GcPHmSw4cPA+4xZ5VcLkepVGLRokXMnj0baP1QRhqJBtlJ+vgIx29KMhAviTAPH0GXB94OXJCgDKcGRKGMQ4cOcfTo0fLL6WSXrq4u8vls+Ekpf9ZPxvY7gdcBG5MWkkSY4xUWgJcBdySt0KkdPk+GEzEwMJCZ5yDN12lmfxP/LOmvCToqJKJqYa5Q4ec43cDm1JHowYz6MEfTPjrZI/q1tHLlSjo7O1t+yk9ItzBXYAqwJOlJE1nBZBawdwLnOxNkx44dAJlYtcKpTCTCUXy51YU5xY1/AEh6gtMD2vLAXOCmpOVULczDKhTQAzwXpdeyd4ZTHVOmTAGazoNwJoGBgYFGm1A3Uv68vy62PwTsM7PEP2eTeMyvGzuLU0/27vUfLE7AsmXLgNSLVk1I8zWa2TO1KCdJjLkmFTq1Y8OGSRvr4zQJUdhi7ty5DbakfqRRmCV9YLTjZvb5JOVVsxjrI2a2ZqJ5nNoTjfRq5ZiiUx39/f1jZ2oBUryCSTSD1DLgRZzuifF64KdJC6vGY14xxoT4AmYkrdgZP5EQR+v9pdGDcOpDdO9Xr85OE08an3cz+0sAST8B1pjZ8fDzjcB3k5ZXjTAvryKPz9BdRyRRKpXYuDHot55SD8KpA5FIzZw5s8GW1I80CnOM84B4S+wAQUeJRIwpzB5bTie5XK485aeHMhzvlZEavg38StIPCXqxvRG4NWkhE+nH7DQISQwMDHDgwAEg9Q+qM4lEU36ee+65QOt/SZtZqpfQMrNPSfoX4HfCpHeaWdWzykW4MDcZ0QCCU6dOsX37dsBDGVnGzJg+fXo5lNHqwgxN4YhsI9DWTmC6pJeZWaIGwGp6ZdwF/J9mtn1cJjqTQi6Xo63Nv1cdGBwcLA/Jb/WRf5BuYZb0B8CfEKyc9CjwEuAXwCuTlFPNWN5vAj+R9DFJhYR2OjUmeihPnjzJyZMnz0hzskU0FH/+/PlMmzYNyI7HXM3WIP6EoLvcM2b2CuBS4EDSQqpp/LtD0o+AjwMPSfo2p9f8S9xx2pkY8QmMent7aWtr8wmMMkokwvPnz89MQ3CK+zFH9JlZnyQkdZjZU5KWJS2k2t/CgwTTfnYQdKRO9X+mlYlevEIh+PHi3rLT19dHqVTKzGRWKX/md0qaCfwTcI+kwwRrASaimhjz1cDnCUayrDGzU0krcWpHPJQBre8hOSMT3fuLLrqItra2TMSXId2N3Wb2xnD3Rkn3EQy++3HScqrxmD8GvNnMnkxauDN5rF+/HvApP7NMJMILFiwAAsFq9VVMahnKCJ3OvyWYnvPrZvaZCnn+E3AjQZ/kx8zs9xLY+m/jta2aGPPvjJXHqT+t/gI61dPb2wtk59dTLUIZkvLAl4BXAzuBByWtM7MNsTxLgY8Av21mhyXNG6W8ms4p5P2tmpRjx4412gQnJUQec8pjrzWjRtf5YmCLmT0NIOl24FogPmXjHwJfMrPDYb37RymvpnMKuTA3GZFX9MQTTwDZeRmds4meheXLq5nOpnVI8MzPkfRQ7PPNZnZzuL8QeDZ2bCdw2bDzLwKQ9O8E4Y4bzWykeHFN5xRyYW5SPJThRJw6lZ32+IR9lA+a2doRjlWK+wwvuA1YClxBMGDkZ5IuNrMjFeyq6ZxCVbccKeBtkj4efj5P0otraYxTPSdOnGi0CU6DiQTqvPPOa7Al9aVYLFa1jcFOYHHs8yLO7ta2E7jTzAbNbBuwiUCoJ50kTfpfBi4H3hp+Pk4QPHfqSC6XY3BwsBzKSHPXIWdyie794sWBvmSp8a8GI/8eBJZKukBSO/AWTk9uH/FPwCsAJM0hCG08XePLqUgSYb7MzN4D9AGEAfH2SbHKGZVwVFGjzXBSQjTlZxbaG6oV5bH+F+ECqe8F7gY2AneY2ZOSbpL0u2G2uwkWnN4A3Af8mZk9N1q5tYosJIkxD4ZdTCyscC4+ArAhlEqlMyatcbJJsVikUChkamY5qN2vRDO7C7hrWNrHY/sGfCDcquXLBLr4SuAmgsjC9wnmz6iaJML8ReCHwLmSPgVcB/x5ksqciRENuz169Cjbtm0rpznZQxJmxuzZs5k1a1Y5LQuk3Bm5zMzWSPo1BJGFMFSSiCSrZN8m6WHgVWHSG8xsY9IKnYmT9snCnfoxMDCQqWehCSYxqklkoWphltQBrCHoJN0GvDn81r4paaXOxCgWi2l/OJ1JJvKYzz333PJq6Vkh5R5zFFmYN5HIQpJQxp3AUeBhIPVrpVczDr7ZiB7IHTt2MDAw4FN+ZphcLkepVGLJkiV0dnZmZgIjSHf4blhkQYwzspBEmBeZ2dVJK2gE1YyDb2ay9NPVGZ3e3t60e5A1pcGT4FeFmT0FPDWRMpJ0l/tfki6ZSGV1pDwO3swGgGgcfEvgXrITMWfOnHJYIyukeQUTSd8K52OOPs+SdEvScpJ4zC8F3iFpG0EoQwQ9SlYnrbQOVDMOHkk3ADdAc42eeuSRRwCf8jPLRPd+2bJgcYysCXOKWR0fsh32yrg0aSFJhPmapIU3kGrGwRNOaHIzwNq1a1N9t+O4x+xERINLskIT9EjKSZoVzUgnqZtxzEmUpLvcM5JmEYwV74wdqunkHTWimnHwjtP0zJ49u9Em1J2Ue8x/A/xC0nfDz28GPp20kCTd5WqyLHedKI+DB3YRjIOveuWBtBK1um/YELRhpvwBdSaR6N6vXp3GSOLkkubn3sxuDacajXTxTePpdJAkSFmTZbnrwUjj4BtrVe2I1vtL8wPq1IeshTIg9Y1/HcALgXOAbuC6aN6MJCSJfdRkWe56UWkcfKvgjX5OJDzd3d0NtqT+pNwhqcl4jyTCXJNluZ3xk8vl6O/v5/HHgxVs0tzR3plcisUikjI75WeKqcl4jySNfzVZltsZH9HIrlKpVA5lONklehZS3kNhUki5Q/K/JF1iZk9MpJBxLS1lE1iW25k4HspwSqUShUKBQqHQaFPqTso95pqM9xhTmCUdJ+gDHP1Wiv4rUYXnJKnQGR+Rx3zo0CF27twJpN5zcCaJaJ6MhQsXlrvLZSmUkfLnvibjPcYUZjObXouKnNowODjI4OBg+eV0nKyRZo+5VuM9qvGYO4E/Ai4EHgduCbujOQ0kzQ+nUx+6uroyGdZK87Nfq/Ee1dzVbwFrgSeA1xKMbHHqTPQwRiuXtLWNq3nAaQEiMV69ejUdHR2USqXMhDIgCOFVszWImoz3qObtXmlmlwBI+gbwq6SVOLXDe2Q4EWn2HCeLJuguV5PxHtUI82C0Y2ZDWfpmTiNZbIV3ziR6B6dMmdJgSxpDyoW5JuM9qhHmF0g6Fu4L6Ao/e6+MBrB+/fpGm+A0mEiYV61aBaReqGpOmq+3VuM9qumVkU9aqDN5HDgQhKv8l4uTVdIszHEmMt7DW5CajPb2xCuhOy1KPp9NnymNwizp52b20mHjPsp/k0YWXJibhMhD3rx5M+CDS7JMJExr1qxpsCX1J60T5ZvZS8O/NRn34cLcJETruu3fv7/RpjgNJhLmrP56SqnH/IHRjpvZ55OUl2SifAG/Dywxs5sknQfMNzPvPlcnJNHR0dFoM5yUkNV2hjQKMxB5yssI+jGvCz+/Hvhp0sKSeMxfBkoEI1huAo4D3w+NcCaRaJ6M3t5ennoqWBXdQxnZZWhoiEKhUF5AOEsCndZ+zGb2lwCSfgKsMbPj4ecbge+OcmpFkgjzZWa2RtKvQ0MOS8rmb6kGMTAwwNGjR4HUeg1Oncjn85kd/ZnyZ/88IL6szADQk7SQJHd2UFKecHY5SXMJPGinTuTz+czGFZ0zyeVymfKU46RcmL8N/ErSDwm08o3ArUkLSSLMXwR+CMyT9CngOuDPk1boJCcKZRw5coTnnnuunOZkj2hWwZ6eHmbMmFFOyxJpDuOZ2ack/QvwO2HSO83s10nLSbKCyW2SHgZeRdA37w1mtjFphU5yIhE+fPgwg4OD5PP5VHYZciafyEsuFAqZE2RIb4x5GNsItLUTmC7pZWaWqAEwUZDKzJ4CnkpyjjNxopfRwxhORJbnTEmzMNdq2s8k3eUq9dM7CjxsZo8mqdRJRvQg7tq1C8hWK7xzJrlcjmKxyCWXXEJbWxulUilznnOaQxmcnvbzATN7haTlwF8mLSTJHV1LMGH+wnC7AbgC+Jqk/ztpxU5ytm/fDmQvpuicTdY95mq2BtFnZn1AedpPgr7NiUgSyphN0D/vRFjpJ4DvAS8DHgY+l7RyJxlZnebROZs0/5yfTJpgzb+6TfsZMbx/3iBwvpn1SupPWrGTnN/85jdAdl9K53QYa+XKlUA2n4W0XnM4Ovp9ZnaEyZ72M8Y/AA9IujP8/HrgO5KmAhuSVuxUT/QyRjFmx5k1a1ajTWgYaRVmMzNJ/wT8Vvh58qf9NLNPSroLeClBd7k/MrOHwsO/P14DnLGJHsSurq4GW+KkhaGh7K6HnFZhDnlA0ovM7MGJFJK0Felpgq4fjwBTJL1sIpU71RF5zHv37gVS/2A6k0gUX7344osbbEljqLbhr5p3RNLVkjZJ2iLpw6Pku06SSVpbhYmvAH4haQ+NPcEAABTTSURBVKukxyU9IenxBJcIJOsuV5P+eU5ycrkcQ0NDbNq0CXBhzjLRvZ86dSqQza6TtXj+w+klvgS8GtgJPChpnZltGJZvOvA+4JdVFn3NhI0jmcdck2W5nfGRy+Xo7OxstBlOSog85yx+SZdKpaq2MXgxsMXMnjazAeB24NoK+T5J0OOsb6wCw8a/kpk9M3xLeImJhLkm/fOcZEQvXn9/P/v27TsjzckexWKRadOmsWDBAiCbfdoThDLmSHoott0QK2Yh8Gzs884wrYykS4HFZvbPVdplBN3kJkySuzq8f96djKN/XiUkvVnSk5JKw+M4kj4SxoA2Sboqll4xPiTpAkm/lLRZ0j82+9SkkQgfP36cPXv2AKkf+eRMElHYoqOjI7MLJiSMMR80s7Wx7eZYUZViQGWPR1IO+ALwpwlNfEDShOeor1qYzeyNZnbEzG4E/gL4BvCGiRoQsh54E8Nm+pe0EngLsAq4GviypHwsPnQNsBJ4a5gX4LPAF8xsKXAYeHeNbGwI0cvY1taW6dFezmmKxWKmv5xr1Pi3E1gc+7yIMx3N6cDFwP2SthO0qa2rogHwFQTiXJ/GvzgT6Z83QnkboWJDxrXA7WbWD2yTtIUgNgRhfCg873bgWkkbCRojfy/M8y3gRuArtbS3nsSn/Dxx4kR57T8ne0T3/vzzzy+PAvXGv3HzILBU0gXALgIHMNINzOwoMCf6LOl+4IOxLsIjcTWnvfFxG5qkV8Za4GPA+fHzzGz1eCuvgoXAA7HP8TjQ8PjQZQTDxo+Y2VCF/GcRxpxuAMrL9KSN6CHct28fZkZbW1um+7BmmWgu5nnz5tHe3l7+0s4atfi1YGZDkt4L3A3kgVvM7ElJNwEPmdm60Us4E0nHqSzECtPPSVJeEo/5NuDPgCcYx8olkv4VmF/h0MfM7M4K6TByHKhSCMZGyV+RMOZ0M8DatWtT7YZmNabonCb6ku7r66NUKmVSlGs5QZGZ3QXcNSzt4yPkvWKMsqaPdjwpSYT5QNJvkThmduU4ThstDlQp/SAwU1Jb6DUPjxs1LT7lpxNN+bls2bKy95zF5yELobwkwvwJSV8H7gXKkxaZ2Q9qbtVp1gH/IOnzwPOApcCvCDzjs+JD4Vj1+wiWvboduB4YyRtvKqIJjLL4IjoB0b2fN28ekA2BqkQWrjuJML8TWA4UOB3KMGDCwizpjcB/B+YCP5L0qJldFcZ87iCYJGkIeI+ZFcNzzooPhcV9CLhd0n8Dfk3Qe6Tp8XkynHif9izjwnwmLzCzSybDCDP7IcFCr5WOfQr4VIX0s+JDYfrTnO650TIcPHgQyMZD6YzOihUrGm1CQ8nCO5BEmB+QtHL4WHJncol+vkbzZDhONOovi1j6J8qvCUmE+aXAOyQ9TRBjFsEoxMnsLueE+OASJ/qSPnXqVIMtaSzuMZ/JVZzuk+fUiehlPHz4MJCNh9KpTOQpLl68eIycrU0W3oExhbnWHaed6okGEPT19bF+/XrA58nIMsViEYD584PhAFnsoeOhjJBad5x2qid68XK5HO3tTT0Xk1MDoiHZAwMDY2duYdxjdhpK5DH39/dz7NixcpqTTUqlEtOnT2fmzJlANj1myMY74MKcYiJhPnz4MHv27PEJjDJMNNJv9uzZTJ+e7R+xHspwUkE+nyefz5djjE72iL6QBwYGMv0c1HKujDTjwtwE9Pf3MzQ0RC6Xy8RD6ZxNNE9GT09PeUIrD2W0Li7MKSZ6ALdt2wYEnnMWfsY5ZxOJ8OLFi2lra6NUKmVyWSlwYXZSQlY9I+ds+vqCNUGz/Ey4MDup4Pjx40A2HkinMpEQ9/T0AKcbhrOGmWUixu7C3AREg0s6Ozs5depU+YWMOtt7b43WJ7rnixYtArL9JZ2FcJ4LcxMQ9WE+ceJExeNmRi6XKzcO5nK5M8Q7ni8S8lKplOmXu1np7e1ttAkNxXtlOA0nEtdrrrmGw4cP093dzdatW3n22Wfp6uri6aef5tChQxQKBQ4fPlz2JKr9qRd52rlcjnw+X/55HBf1+EsQlZ+VlyNNRP/v5z3veQ22pPG4x+w0lKjV/YorruCKK64opxeLRXK5HKdOnaKvr4+2tjb279/PkSNH6OjoYM+ePWzevJmuri6eeeYZtm/fTmdnJzt37mTr1q10dXWxd+9eDh48SKFQKK8hNx7bJJ3VOyAS/LiAx0XdSU70f1u+fHmDLWk8WXiGXJibgHjYIe7dTp06lalTpwIwY8aMcv7Vq1dz1VVXnVVONM9CLpejt7eX48eP09bWxvHjx9m5cyeFQoF9+/axYcMGOjs72bt3L1u3bqW9vZ1jx46xYcOG8qRK+/btK5ebtDEmn8+X90cKu8S/KDzscvrXU9bnyQAXZiclVOqvOrzBb7TwQvRSSyoPTigUCpxzTjAx4LnnnsuFF15Yzv+mN73prDLMjN7eXiQxODjIgQMHyl77li1bkMTAwAC//vWvGRoaYnBwkPXr1zM0NMTAwACbNm2iVCpRLBY5evRoudzxiHoUS68UdhkeP2+Vn73RdXR3dwPZ7S7nvTKc1BN/Oat9USPxGi7klUQ9Er7onClTpgDB+oORqAOsWrWqvH/dddedVWapVOLkyZPll2r37t1l8dy4cSMnTpxAEo8//nh5Evj169dz8uRJ2tra2LFjB8eOHaOtrY3e3t7EL2Yk5Pl8vuL/bKRG0TR5ZsVikc7OzvKUn1mmVb5sR8OFOWPEvedqxXykHh6V9uNEnn4+nz9DyCOvD+AFL3hBxXOLxWJZLE+cOEFvby9tbW3s2rWLY8eOUSgUWL9+Pc899xwdHR1s27aN3bt309HRwdatW9m9ezeFQoH9+/dz4sQJcrkcQ0NDVV1vnCjsMjyWPlKj6GSJRvRLZTzX0EpkpeHZhdmpmvF46BHVhF3iZUYTNwHMnDmzPNXl3Llzy3kuv/zyinVF4ZNcLsfx48c5fvw4hUKB3bt3s2/fPqZMmcL27dvLDaS7du1i69atTJkyhR07drBr1y7a29s5ceLEiF0Uq6Gt7fTrVUnUhwv5aKJuZsyYMYNp06YB2Q1lQLp+yUwWLsxOXZioqFcTdoloa2sri2JnZ2dZzEdbkik+93VfXx/5fJ7e3l727dtHW1sbR48e5amnnqKjo4O9e/eyadMmCoUCJ0+eLA8AOnXqVHlek8HBwXE11EXXEYVdzIxCoUBvby9Lliwph5OyLMweynCcFJAk7BJRSchHaxyNRLCjo6PcQDpt2rQzPPTLLrus4vlRzLtYLHLs2DFyuRx9fX08++yz5PN5Tp48yWOPPVZuII0aRYeGhnjsscfK+zt37qRYLCLpjJBFtL9r165MiNJYuMfsOE1KLcMuw9OiMiMvOwq55PN55syZU84THwzy8pe/vGJd/f39QOAFHjp0qCy8O3bs4MSJE+TzeR577DEOHTrE+eeff0Z4JIt4rwzHySi1EPVqui8CZe8cYOHCheX9eNjlyiuvTGRDq+Mes+M4iYj3eqmWSl75SOITH5yTRXyVbMdx6sJ4xDzLuMfsOI6TMtxjdhzHSRHe+Oc4jpNCPJThOI6TMrIgzKlYZlfSX0l6StLjkn4oaWbs2EckbZG0SdJVsfSrw7Qtkj4cS79A0i8lbZb0j5La6309juNMDlGvjGq2ZiYVwgzcA1xsZquB3wAfAZC0EngLsAq4GviypLykPPAl4BpgJfDWMC/AZ4EvmNlS4DDw7rpeieM4k0p8EYbRtmYmFcJsZj8xs2gM6gPAonD/WuB2M+s3s23AFuDF4bbFzJ42swHgduBaBf2NXgl8Lzz/W8Ab6nUdjuNMPu4xN4Z3Af8S7i8Eno0d2xmmjZQ+GzgSE/kovSKSbpD0kKSHDhw4UCPzHceZLDyUUWMk/auk9RW2a2N5PgYMAbdFSRWKsnGkV8TMbjaztWa2Nj5ZjeM46aVWwjxSO1Xs+AckbQjbvu6VdP6kXFAF6tYrw8xGHfAv6XrgdcCr7HSAaCcQn6txEbA73K+UfhCYKakt9Jrj+R3HaQFqET+OtVO9mkBnHpS0zsw2xLL9GlhrZqck/THwOeA/T7jyKkhFKEPS1cCHgN81s1OxQ+uAt0jqkHQBsBT4FfAgsDTsgdFO0EC4LhT0+4BofaPrgTvrdR2O40w+NWr8q9hONaye+2J6FG/7mnRSIczA3wHTgXskPSrpqwBm9iRwB7AB+DHwHjMrht7we4G7gY3AHWFeCAT+A5K2EMScv1HfS3EcZ7KoVpSrEOaR2qlG4t2cbvuadFIxwMTMLhzl2KeAT1VIvwu4q0L60wTfho7jtCAJQhlzJD0U+3yzmd0c7lfdHiXpbcBaoPKk2pNAKoTZcRynWhLMlXHQzNaOcGy09qsykq4EPga83Mz6k9g5EVyYHcdpGmo4eKTcTgXsImin+r14BkmXAn8PXG1m+2tRabW4MDuO01TUQpjNbEhS1E6VB24xsycl3QQ8ZGbrgL8CpgHfDefK3mFmvzvhyqvAhdlxnKaiVsOtK7VTmdnHY/sNW9PLhdlxnKai2efBqAYXZsdxmgafKN9xHCeFuMfsOI6TMlyYHcdxUoYLs+M4TopohUnwq8GF2XGcpqLZ51quBhdmx3GaChdmx3GcFOGhDMdxnBTiwuw4jpMyXJgdx3FShseYHcdxUoTHmB3HcVKIe8yO4zgpwz1mx3GclOHC7DiOkyLMzEMZjuM4acM9ZsdxnJSRBY9ZWfj2qQZJB4Bn6ljlHOBgHetLits3cdJuY73tO9/M5k6kAEk/JrC7Gg6a2dUTqa9RuDA3CEkPmdnaRtsxEm7fxEm7jWm3L8vkGm2A4ziOcyYuzI7jOCnDhblx3NxoA8bA7Zs4abcx7fZlFo8xO47jpAz3mB3HcVKGC7PjOE7KcGGeJCT9laSnJD0u6YeSZsaOfUTSFkmbJF0VS786TNsi6cOx9Ask/VLSZkn/KKm9Bva9WdKTkkqS1g471nD7xrC9oh2TjaRbJO2XtD6W1i3pnvDa75E0K0yXpC+GNj4uaU3snOvD/JslXV9D+xZLuk/SxvDe/knabHSqJJrf1LfabsBrgLZw/7PAZ8P9lcBjQAdwAbAVyIfbVmAJ0B7mWRmecwfwlnD/q8Af18C+FcAy4H5gbSw9FfaNYveIdtThnr4MWAOsj6V9DvhwuP/h2H1+LfAvgICXAL8M07uBp8O/s8L9WTWybwGwJtyfDvwmvJ+psdG36jb3mCcJM/uJmQ2FHx8AFoX71wK3m1m/mW0DtgAvDrctZva0mQ0AtwPXShLwSuB74fnfAt5QA/s2mtmmCodSYd8oVLRjEusrY2Y/BQ4NS76W4JrhzGu/FrjVAh4AZkpaAFwF3GNmh8zsMHAPUJPRaWa2x8weCfePAxuBhWmy0akOF+b68C4CzwSCF+XZ2LGdYdpI6bOBIzGRj9Ini2a1r1Gca2Z7IBBGYF6YnvT/WFMk9QCXAr9Mq43OyPgkRhNA0r8C8ysc+piZ3Rnm+RgwBNwWnVYhv1H5S9JGyV8T+yqdVi/7xkm96xsvI9k56fZLmgZ8H3i/mR0LftRUzjqCLc3yP25ZXJgngJldOdrxsNHkdcCrzCx6sHcCi2PZFgG7w/1K6QcJfmK2hV5pPP+E7BuButk3TkazrxHsk7TAzPaEYYD9YfpIdu4ErhiWfn+tjJFUIBDl28zsB2m00RkbD2VMEpKuBj4E/K6ZnYodWge8RVKHpAuApcCvgAeBpWEPh3bgLcC6UNDvA64Lz78eGMnbrQVpt6+iHZNY31isI7hmOPPa1wFvD3s+vAQ4GoYR7gZeI2lW2DviNWHahAnj/d8ANprZ59Noo1MljW59bNWNoNHsWeDRcPtq7NjHCHoWbAKuiaW/lqAlfStBuCFKX0IgjluA7wIdNbDvjQSeUT+wD7g7TfaNYXtFO+pwT78D7AEGw//duwli7PcCm8O/3WFeAV8KbXyCM3u+vCv8X20B3llD+15KEHJ4PPbcvTZNNvpW3eZDsh3HcVKGhzIcx3FShguz4zhOynBhdhzHSRkuzI7jOCnDhdlxHCdluDA7juOkDBdmx3GclOHCnFEknWi0DQCSipIelbRe0nclTQnTJ9W+cO7ibZK6w8+zws/nD8vXI6lX0qM1qrcrvN4BSXNqUabTergwO42m18xeaGYXAwPAH9WjUjN7FvgK8Jkw6TPAzWb2TIXsW83shTWqtzcsq5Hzezgpx4U5w4Te4FOSvh56rLdJulLSv4crV7w4lvefJD0croxxQyz9L8Iy7pH0HUkfjB17m6RfhR7i30vKj2HSz4ALK9h5Vt2h7RslfS1M/4mkroT1fgF4iaT3Ewxn/psq/2fxFUw+KOnGJP9LxxkLF2bnQuBvgdXAcuD3CETqg8BHY/neZWa/BawF3idptoIlqf4jwby/bwqPASBpBfCfgd8OPcQi8PsjGSGpDbiGYM6G4ZxVd5i+FPiSma0CjgD/MUm9ZjYI/BmBQL/fgon3J0K1/0vHGRWf9tPZZmZPAEh6ErjXzEzSE0BPLN/7JL0x3F9MIIovAe40s97w/P8vlv9VwG8BD4bzAXdxerrJOF2x+O3PCGZHG06luveGtkfnPhzaO7PKeiOuIZiY6GKClTomQrX/S8cZFRdmpz+2X4p9LhE+H5KuAK4ELjezU5LuBzqpPKF6hIBvmdlHxqi/d7T47Sh1D7e9SCDC1daLpBcCryb4gvm5pNstXOljrFNj+4XY/pj/S8epBg9lONUwAzgcCuNyAiED+DnwekmdClbN+A+xc+4FrpM0D8orNZ/R42GCdY9EVfWGcxd/hSCEsQP4K+Cvq7TpfElzJeUIFmgdK3buOIlwYXaq4cdAm6THgU8SLC6LmT1IMNn6Y8APgIeAo+GxDcCfAz8Jz7uHYBXnmtQ9Egnq/UNgh5lF4YsvA8slvbwKm54DbiUIn6wH3o6Ls1NDfD5mZ0JImmZmJ8L+xz8FbrBwpeZWQMGipv8cduc76/MEyt1OMDH9wYlZ6LQi7jE7E+XmsPHuEeD7rSTKIUVgRq0HmBDEpku1KNNpPdxjdhzHSRnuMTuO46QMF2bHcZyU4cLsOI6TMlyYHcdxUoYLs+M4TspwYXYcx0kZLsyO4zgp438DxElVFB1MtdUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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852Y2Jul9JAs1dwPnm9ltks4E1pjZKuAfga9J+gcSN8c7rE3/ZC7MHUocBBkbG2NwcJDh4WGPyigxMb66r6/PXRnN13M5SQhcuuy01P7tJItEtx0X5g4mCnMMl3OLubzUWszzVZg9V4ZTeKKPOebJKMMD62xJDKGLk1PijMb5ShmecxfmDibO+itingynvcRY5r6+vkkf83ylDM+5C3OH0+rMck5nEIW5v79/s/zT8xEXZqfQRIs5zvorwwPr1CcKc29v77wX5TIMcs9vZ9Q8J876Gx4edou5xMTc1THR0Xz3MZcBt5g7lHS4nGeWc9IJj+Zr8qJIGZ7zaYVZUjPZUCbM7Mkc+uNkIJ3yswwPq1OfmNQopg2dz6IMLsyRP4Rtqr92N7Aklx45TTMxMTG5AGsZ/G5OY9KJ+l2YO59mhHmtme031QWSfpdTf5wmiYMgQ0NDk+FyTjmJFnMZEhiBC3PkFTld4+RMzJPhs/6cOCV7Ps/6A4/KmMTMhvK4phkknS/pEUm3psoWSVot6a7wujCUS9I5ktZJulnS/ql7TgjX3yXphDz6VjTiwN/GjRsn82S4OJeT9HTsSqUy191pOXHge7qtk2k6rkbSMkmXSvptEMJbJN2cc3++Rch/muJk4CozWwpcFY4BjgSWhu1E4Cuhn4uA00lWIzgQOD2K+XxjfHycoaGhUiRHdxoThTnO+itDVMZ8F+Ys4XIXAR8BbgFa8lvCzH4pafea4hXAoWH/AuAa4KOh/MKQhu9aSQsk7RSuXW1mjwNIWk0i9t9tRZ/nitpczGX4eefUJ/qXy+DKKAtZhPnRkKO03TzHzB4CMLOHJO0Yyuut2bXzFOVbIOlEEmubJUs6J6gkHcM8NDTk4XIlR9JmKT/nO2V41rP8FU+X9HUSd8JwLDSzH+Xeq+ZotGZXM2t5JYXJwowrAZYtW9Zxf+2xsTFPkl9yYkRGtVqlv79/3lvM88FN0QxZhPmdwF5AhU2uDANaLcwPS9opWMs7sWm9rUZrdq1nk+sjll/T4j62nXTKTw+VKzfRYu7t7S3FdOwiuu3ynoiXRZhfamYvznB9XqwCTgDODq+XpcrfJ+likoG+p4J4XwF8OjXgdzhwSpv73HLirL8ozGWwIpz6dHd309fXx8DAwLzPLAeFdWXkOhEvizBfK2mfsNxKS5D0XRJrd7Gk9STRFWcDl0h6N8niiMeGyy8HjgLWARtJLHrM7HFJnyRZbBHgzDgQOJ9IZ5bzJPnlJroyymIxF/RZz3UiXhZhfiXwDkn3kPiYBZiZvSRDHVNiZsc3OPW6OtcacFKDes4Hzs+rX0UkbTEX8aed0x7Ss/7KkiejoMKc60S8LMJcG18MiWnutJn4cHrKTwc2zfqLFvN8F+ciEifZSTqtwfkzs0zEyyLMtTPouoG3A3tkqMPJiZiLOVrMBbUinDYQU36WIU8GFHPwL8Wzqf0+4A3A2qyVZBHmdIMV4BDgkqwNOvlgZj65xCldAiMorI8ZADP7QvpY0udJAhUy0bQw12nws2waYHPaSEzkMjg4OLmslFNeenp6SpPyE4otzHUYAPbMetNspgktBP44i/udWRDzZAwNDXXag+rkSFxWqkyz/or8vEu6hU0T2rqBHYAzs9bT9F+ypkEBuwOPxfI8ozOc6YkpP2OoXJEfVqd1xARG1Wp13s/6ixT8WX9Dan8MeNjMMo/OZ/mKfcP0lzjtwBMYORFJVCoV+vr6ShEuB8UWZjO7P496sviYc2nQmT0xgVH0Mbswl5c4uaQsKT+hmMIs6UNTnTezL2apr5nFWH9rZvvP9honH+JDGfNk+Ool5SZazGWa9VdQQ2Sb8PpC4AA2RWK8Efhl1sqasZj3niYhvoDtsjbszJx0yk+fXFJeonXc19dHf3+/h8vNIWb2CQBJVwL7m9nT4fgM4PtZ62tGmPdq4hqP12ojcTq252J2urq6JnMxd3eXYyJuwZ/3JcBI6niEJFAiE9MKs/uWi0dtys+CP6hOC4mujGq1Wprp2AV/3r8NXC/pUpIotjcDF2atZP4HPs5D0gmM3JVRbmKejL6+vtKIcpEnVJnZWZJ+CrwqFL3TzJrOKhdxYe5A4nTsoaEht5hLTjoqowyDf1B4ixngXhJt7QO2kXSImWUaAGwmKuNy4H+Z2X0z6qKTK+n1/kZHRwttPTitpV7Kz7JYzUVF0nuAD5CsnHQTcDDwG+C1Wepp5iv2W8CVkk6VVMnYT6cFeGY5JxLzZFQqlVJZzM1sc8QHSMLl7jez1wD7AY9mraSZwb9LJP0EOA1YI+nbbFrzL3PgtDN7zIyhoSFf76/kxDwZUZjLYi0XNI45MmRmQ+HXS6+Z3SHphVkradbHPEqS9rOXJJC60J/MfKfWYnbKS8zFXKmU58dswX8hrpe0APgxsFrSEyRrAWaiGR/zcuCLJDNZ9jezjVkbcfIjWgxDQ0MMDw8X/SF1Wogkenp6SpUnA4qdKN/M3hx2z5B0Ncnku59lracZi/lU4Fgzuy1r5U5rGB8fZ3BwkKGhIfcxl5gozL29vaWa9ZeXMAej88sk6Tm/bmZn17nmr4AzSGKS/8vM3pKhr/8+074142N+1XTXOO0jxnFGH7OLcrnp6ekpVcpPyMeVIakbOBd4PbAeuEHSKjO7PXXNUuAU4M/N7AlJO05RX645hTyOuQNxYXZgUy7m3t7eyenYZRDnnJ75A4F1ZnYPgKSLgRXA7alr/hY418yeCO0+MkV9ueYUcmHuINIxzMPDwx7HXHLSs/7K4sqATMK8WNKa1PFKM1sZ9ncGHkydWw8cVHP/CwAk/QeJu+MMM2vkL841p5ALc4dRmyTfKS+1FnMZhDljjPIGM1vW4Fy9D6u24h5gKXAoyYSRX0l6kZk9WadfueYUajoiXQlvk3RaOF4i6cA8O+NMT9pijstKOeUjzvLr7e2lv7+/NJnlIHHlNbNNw3pg19TxLmwZ1rYeuMzMRs3sXuBOEqFuOVmmCp0HvAI4Phw/TeI8d9pIOuWnC3O5iSk/+/v7S5NZDnKb+XcDsFTSHpKqwHFsSm4f+THwGgBJi0lcG/fk/HbqkkWYDzKzk4AhgOAQr7akV86UeJ4MBzYJc1lWL4HmRXk6YQ4LpL4PuAJYC1xiZrdJOlPSm8JlV5AsOH07cDXwETN7bKp68/IsZPExj4YQEwsN7oDPAGw7aVeGZ5YrN3HWX1lSfkbyimM2s8uBy2vKTkvtG/ChsDXLeSS6+FrgTBLPwg9J8mc0TRZhPge4FHiOpLOAY4CPZ2nMmT1xOnb0MTvlJGaWq1ark0nyy0LBjZGDzGx/Sb+DxLMQXCWZyLJK9kWSbgReF4qONrO1WRt0Zk78iTY6Osro6Gihp6Y6rae7u5tKpTIZKlcGq7kDkhjl4lloWpgl9QL7kwRJ9wDHSsLMzszaqDNzzIyRkZFJYS649eC0iJhZrq+vj2q1WgpRjhT8mY+ehR1n41nI4sq4DHgKuBEYztpQu2lmHnwnMjExwcaNGyd9zE55iXkyyibMRbaYazwLYoaehSzCvIuZLc/awFzQzDz4TiT+jBseHvbMciUn+ph7enpKM7kEMk8wmRPM7A7gjtnUkWXE4D8lvXg2jbWRyXnwZjYCxHnwHU/MkzE8PFxoy8FpPZVKpXTTsaHYK5hIuiDkY47HCyWdn7WeLBbzK4F3SLqXxJUhkoiSl2RttA00Mw8eSScCJwIsWbKkPT2bBTFULqb87ATrwWkNkiaFuUy5mKHwPuaXpKdsh6iM/bJWkkWYj8xa+RzSzDx4QkKTlQDLli0r9F87El0Zo6OjRX9AnRYShTkdKlcGcY65YgpMl6SFMSOdpEXMICdRlnC5+yUtJJkr3pc6lWvyjpxoZh58xxEfypGREcbGxtyVUWLi6thldWUUmC8Av5H0/XB8LPDprJVkCZfLZVnuNjE5Dx74Pck8+KZXHigi6ZSfg4ODPvhXctIJjFyYi4OZXRhSjUZd/IuZBB1kGfzLZVnudtBoHvzc9iofxsbGJuOYi/yAOq0jRmTEXMxlmvUHhR/86wVeBmwLLAKOiXkzspDF95HLstztot48+E4nnYu54H42p8VEizm9eklZKLhBkst8jyzCnMuy3M7MibP+fPDPiauXDAwMlDLlZ4HJZb5HlsG/XJbldmZOzJMRY5gL/oA6LSSdwKgsohwp+KD3f0p6sZndMptKZrS0lM1iWW5n5sTBv5GREXdllJjoY65UKqWLYYbCuzJyme8xrTBLepokBjj+9eOnEhvcNkuDzsyonY7twlxuoisjJskvizh3QHa5XOZ7TCvMZrZNHg05s6c25WfBLQenhURXRtlC5aDYFnNe8z2asZj7gPcCzwduBs4P4WhOm4kW88jISNGtBqeFxJSf1WrVXRkFI6/5Hs0EQF4ALANuAY4imdnitJn4E27jxo0MDQ25K6PEpPNklHXwr5ltjshlvkczg3/7mNmLASR9A7g+ayNOPnjKTycSfcxlSvkJHREul8t8j2aEeTTumNlYmR6ColHryij4A+q0iHQCo56eGQVWdTQFf+5zme/RzF/1pZL+FPYF9Idjj8poI+k8GT65pNzUy5NRJoOpyM9+XvM9monKKNd8z4IShdmT5Dtx5ZJqtVo6VwYUW5jTzGa+R/l+B3Ug8UGcmJjwBEbOpCsjxjCXjSI++5J+bWavrJn3Mfma1bPgwtwhxBjmoaEhF+YSE90WfX19pU35WcSIJDN7ZXjNZd6HC3OHkHZljI6OTn+DM29Jp/wsW2Y5KKzF/KGpzpvZF7PUlyVRvoC3Anua2ZmSlgDPNTMPn2sDUZhHR0cZHx8v5MPptIdaV0aZLGYopjAD0VJ+IUkc86pw/Ebgl1kry2IxnwdMkMxgORN4Gvhh6ITTYtIpP8fGfOJlmenu7qa/v38y5WeZKGocs5l9AkDSlcD+ZvZ0OD4D+P4Ut9YlizAfZGb7S/pd6MgTkqpZG3Rmhqf8dCIxs1wZZ/1BYS3myBJgJHU8AuyetZIswjwqqZuQXU7SDiQWtNNi0uv9RVeGU07SKT/LGMMMhRfmbwPXS7qURCvfDFyYtZIswnwOcCmwo6SzgGOAj2dt0JkZ0ZXhs/6cnp4eent7qVarpXNlQLET5ZvZWZJ+CrwqFL3TzH6XtZ4sK5hcJOlG4HUksXlHm9narA06M2NiYoKhoSFPkl9yYma53t7e0maW6wCj5F4Sbe0DtpF0iJllGgDMFC5nZncAd2S5x8mHOLnEZ/05cdZfpVKZ667MCUUW5rzSfmYJl6sXp/cUcKOZ3ZSlUScb6ZSfLszlJlrMfX19pbSYodiuDDal/bzWzF4jaS/gE1kryeKgWkaSMH/nsJ0IHAp8TdL/ztqwk43x8XEGBwcnU34W2WpwWoekUufJgE3ujOm2OWLIzIaAybSfJLHNmcjiytieJD7vmdDo6cAPgEOAG4HPZm3caY44DTWm/HRRLjdx8K+MwtwBa/61Le1npDY+bxTYzcwGJQ1nbdhpntrMcj74V17Si7B6uFyxCLOj329mT9LqtJ8pvgNcK+mycPxG4LuStgJuz9qw0xzxIXSL2YHElVGtVkubJwOKK8xmZpJ+DLw8HLc+7aeZfVLS5cArScLl3mtma8Lpt860A870RFfGyMiIT8cuObXCXDZrGYorzIFrJR1gZjfMppKs0en3kIR+/BYYkHTIbBp3miPtYx4bGyv6g+m0iNqUn2W0mJsd+Gvmf0TSckl3Slon6eQprjtGkkla1kQXXwP8RtLdkm6WdIukmzO8RSBbuFwu8XlOdtK5mF2Yy01tyk+3mGdGSC9xLvB6YD1wg6RVZnZ7zXXbAO8Hrmuy6iNn3TmyWcy5LMvtzIzR0VHPk+FsNvhXRlGGJI65mW0aDgTWmdk9ZjYCXAysqHPdJ0kizoamqzAM/k2Y2f21W8a3mEmYc4nPc7IT82QMDQ15LuaS09XVNeljLmOeDMgUx7xY0prUdmKqmp2BB1PH60PZJJL2A3Y1s39rsl9GEiY3a7L8ZWvj8y5jBvF59ZB0rKTbJE3U+nEknRJ8QHdKOiJVXtc/JGkPSddJukvS9+ZDatKJiQlGR0d98K/kpDPLxVl/ZbOaM/qYN5jZstS2MlVVvQ9u0jN/5CwAABGxSURBVOKR1AV8CfjHjF28VtKsc9Q3Lcxm9mYze9LMzgD+CfgGcPRsOxC4FfgLajL9S9oHOA7YF1gOnCepO+UfOhLYBzg+XAvwGeBLZrYUeAJ4d059nBPiQxaF2TPLlZvu7u7NUn6WkZwG/9YDu6aOd2FzQ3Mb4EXANZLuIxlTW9XEAOBrSMS5PYN/aWYTn9egvrVAvQdtBXCxmQ0D90paR+IbguAfCvddDKyQtJZkMPIt4ZoLgDOAr+TZ33YTM8uNjo4WfdaT00LSeTLKmiQfcguXuwFYKmkP4PckBmDUDczsKWBxPJZ0DfDhVIhwI5azyRqfcUezRGUsA04FdkvfZ2YvmWnjTbAzcG3qOO0HqvUPHUQybfxJMxurc/0WBJ/TiQBLlizJqcv5E4U5+pid8pLOLFdWYc7DODGzMUnvA64AuoHzzew2SWcCa8xs1dQ1bI6kp6kvxArl22apL4vFfBHwEeAWZrByiaSfA8+tc+pUM7usTjk09gPVc8HYFNfXJficVgIsW7askP6BmBsgpvx0N0Z5iRZztVotrSsjzwRFZnY5cHlN2WkNrj10mrq2mep8VrII86NZv0XSmNlhM7htKj9QvfINwAJJPcFqrvUbdSTj4+Obpfx0cS4nMbNcmVN+QuFn/uVCFmE+XdLXgauAyaRFZvaj3Hu1iVXAdyR9EfgzYClwPYllvIV/KMxVv5pk2auLgROARtZ4RxBn/aVTfjrlpVKp0NfXV1qLGVyYa3knsBdQYZMrw4BZC7OkNwP/DOwA/ETSTWZ2RPD5XEKSJGkMOMnMxsM9W/iHQnUfBS6W9CngdyTRIx1NDJfzWX/lJubJiLmYY1nZKMP/QBZhfqmZvbgVnTCzS0kWeq137izgrDrlW/iHQvk9bIrc6GiiPy2dWc6jMspLenKJW8zzmyzCfK2kfWrnkjutJcYwDw4OMjo6WoqH0qmP58noiET5uZBFmF8JvEPSPSQ+ZpHMQmxluJwDkyk/PRdzeYmz/OLqJWWdjg1uMddyBJti8pw2YWH1krhySRkeSqc+MeVnmZPkgwszkH/gtJONdAIjz5NRbmJmuf7+frq6utyVMY+ZVpjzDpx2shEt5pjyswzWglOfOPhX5pSf4BazUwDi4F+cXOKUk5hZLobLuTDPb1yYC0ztdGx3ZZSbmCejWq2W1pUB+eTKKDouzAUnWsxxckkZrAWnPjFcruzTscvwP+DCXHAmJiZ8comzWahcmYUZ3JXhzDHRlbFx40ZP+Vly0pnlXJhdmJ05JlrMMYFRGR5Kpz4xXK7M07HBhdmZY2KejKGhoclZf5JK8WA6mxMTGJVdmOP/xHzHhbngxOnYkFhMPT09k77mtEDXirWL9/wiCnN61l9ZxbkMYy0uzAWnq6uL7bbbjl133ZVnnnmGZ555hrGxMcbGxhgfH2dsbIyJiQkmJiYmJ6BE33T6NQp1rTvEBb0z6OrqmgyXK2sCI/CoDKcASGJgYIB99tmHkZERXvrSl/Lss89OZpqLLo44ASUmOoo+6fS5OHMwLug6Pj7O+Ph4Q1GvJ+j1XiNl+GeZSyRtllmuzLjF7MwpXV1d9PX1seeee7LjjjtOCm29bXh4mKGhoUlRjktRxUVcY76NKNKxLCZIisfx/nS9UbijlR636O9Li3itle6CPnvirL/e3l4GBgZK7WOGcjwzLswFJsaubrXVVgwMDNS1YtNlcT/t4qh1e0QxjtZ1FOaNGzcyMjLC4ODg5DJWacGutcTjl0QU+/Q1cUJMrD8KeT23S73+1xP02v16x/OZ9OBfmVN+Qjn+7i7MBSfGr0LjB7KeeNXzKadFr54oRiFPW8XRBRKFNlrSaaGOop7eT1vv8bjWtZIW/1hnrD9+oUzldpnKj17vtd7n1SnEULkozGW1mD0qwykcjf4Zp/snzSLocb+RmNcbXEyLZ9o6jlutCyZtZde6XNJul7RVnhb19Jb+BZAW9PQvhnp+9PgP3ugLrN7nNpeCnnZllN1idh+zMy9opaCnjxuJOVDXZVEr6GmXS0x1mna7xCW2orDH/Wit11rptW6X6KJJW/xpUa/1oxfJ7SKJSqXis/48KsMpO3kLeu25qdwu6Vjtem6LWgu9VtDTrpEowmkhT++nLfV4nB78jK+Dg4ObWe7pL496bpd04qmZhC+a2eTAX8yTUfbMctCZrqisuDA7uTOVaEx1bjaCHl+zuF3S1nEU2Cjkcb/WOk+7XWr952lRrx0sHRwc3Kz+kZGRLQZF026XdMhiDJvcaqutSp8kH9yV4ThtZaaCDvn50aG+2yVtCTdyu9Ra6enoluhLj+Vp90ttREut22V8fJxFixax8847s9VWW5VemN1idpwOYS7dLlkHRusJeto9kh4UjeJdrVZ5wQtewMKFC0s9wcSjMhynBMyF2yVL+GIUcoC+vj76+/tLPSUb3GJ2HKcB7Xa7xHp94M9XyXYcpwXM1O3iJLjF7DiOUzDcYnYcxykQPvjnOI5TQNyV4TiOUzDKIMyFyIYi6XOS7pB0s6RLJS1InTtF0jpJd0o6IlW+PJStk3RyqnwPSddJukvS9yRV2/1+HMdpDelQwum2TqYQwgysBl5kZi8B/hs4BUDSPsBxwL7AcuA8Sd2SuoFzgSOBfYDjw7UAnwG+ZGZLgSeAd7f1nTiO01IaTb2vlzyrUymEMJvZlWY2Fg6vBXYJ+yuAi81s2MzuBdYBB4ZtnZndY2YjwMXACiXxRq8FfhDuvwA4ul3vw3Gc1uMW89zwLuCnYX9n4MHUufWhrFH59sCTKZGP5XWRdKKkNZLWPProozl133GcVuGujJyR9HNJt9bZVqSuORUYAy6KRXWqshmU18XMVprZMjNbtsMOOzT/ZhzHmTPyEuZG41Sp8x+SdHsY+7pK0m4teUN1aFtUhpkdNtV5SScAbwBeZ5scROuBXVOX7QL8IezXK98ALJDUE6zm9PWO48wD8vAfp8apXk+iMzdIWmVmt6cu+x2wzMw2Svo74LPAX8+68SYohCtD0nLgo8CbzGxj6tQq4DhJvZL2AJYC1wM3AEtDBEaVZIBwVRD0q4Fjwv0nAJe16304jtN6chr8qztOVdPO1Sk9So99tZxCCDPwL8A2wGpJN0n6KoCZ3QZcAtwO/Aw4yczGgzX8PuAKYC1wSbgWEoH/kKR1JD7nb7T3rTiO0yqaFeUmhLnROFUj3s2msa+WU4gJJmb2/CnOnQWcVaf8cuDyOuX3kHwbOo4zD8ngylgsaU3qeKWZrQz7TY9HSXobsAx4ddOdnCWFEGbHcZxmyZArY4OZLWtwbqrxq0kkHQacCrzazIaz9HM2uDA7jtMx5Dh5ZHKcCvg9yTjVW9IXSNoP+FdguZk9kkejzeLC7DhOR5GHMJvZmKQ4TtUNnG9mt0k6E1hjZquAzwFbA98PubIfMLM3zbrxJnBhdhyno8hrunW9cSozOy21P2WIbytxYXYcp6Po9DwYzeDC7DhOx+CJ8h3HcQqIW8yO4zgFw4XZcRynYLgwO47jFIj5kAS/GVyYHcfpKDo913IzuDA7jtNRuDA7juMUCHdlOI7jFBAXZsdxnILhwuw4jlMw3MfsOI5TINzH7DiOU0DcYnYcxykYbjE7juMUDBdmx3GcAmFm7spwHMcpGm4xO47jFIwyWMwqw7dPM0h6FLi/jU0uBja0sb2seP9mT9H72O7+7WZmO8ymAkk/I+l3M2wws+WzaW+ucGGeIyStMbNlc92PRnj/Zk/R+1j0/pWZrrnugOM4jrM5LsyO4zgFw4V57lg51x2YBu/f7Cl6H4vev9LiPmbHcZyC4Raz4zhOwXBhdhzHKRguzC1C0uck3SHpZkmXSlqQOneKpHWS7pR0RKp8eShbJ+nkVPkekq6TdJek70mq5tC/YyXdJmlC0rKac3Pev2n6XrcfrUbS+ZIekXRrqmyRpNXhva+WtDCUS9I5oY83S9o/dc8J4fq7JJ2QY/92lXS1pLXhb/uBovXRaZKY39S3fDfgcKAn7H8G+EzY3wf4L6AX2AO4G+gO293AnkA1XLNPuOcS4Liw/1Xg73Lo397AC4FrgGWp8kL0b4p+N+xHG/6mhwD7A7emyj4LnBz2T079nY8CfgoIOBi4LpQvAu4JrwvD/sKc+rcTsH/Y3wb47/D3LEwffWtuc4u5RZjZlWY2Fg6vBXYJ+yuAi81s2MzuBdYBB4ZtnZndY2YjwMXACkkCXgv8INx/AXB0Dv1ba2Z31jlViP5NQd1+tLC9Sczsl8DjNcUrSN4zbP7eVwAXWsK1wAJJOwFHAKvN7HEzewJYDeQyO83MHjKz34b9p4G1wM5F6qPTHC7M7eFdJJYJJP8oD6bOrQ9ljcq3B55MiXwsbxWd2r+54jlm9hAkwgjsGMqzfo65Iml3YD/guqL20WmMJzGaBZJ+Djy3zqlTzeyycM2pwBhwUbytzvVG/S9Jm+L6XPpX77Z29W+GtLu9mdKony3vv6StgR8CHzSzPyU/aupf2qAvnfIZz1tcmGeBmR021fkwaPIG4HVmFh/s9cCuqct2Af4Q9uuVbyD5idkTrNL09bPqXwPa1r8ZMlX/5oKHJe1kZg8FN8AjobxRP9cDh9aUX5NXZyRVSET5IjP7URH76EyPuzJahKTlwEeBN5nZxtSpVcBxknol7QEsBa4HbgCWhgiHKnAcsCoI+tXAMeH+E4BG1m4eFL1/dfvRwvamYxXJe4bN3/sq4O0h8uFg4KngRrgCOFzSwhAdcXgomzXB3/8NYK2ZfbGIfXSaZK5HH+frRjJo9iBwU9i+mjp3KklkwZ3Akanyo0hG0u8mcTfE8j1JxHEd8H2gN4f+vZnEMhoGHgauKFL/pul73X604W/6XeAhYDR8du8m8bFfBdwVXheFawWcG/p4C5tHvrwrfFbrgHfm2L9Xkrgcbk49d0cVqY++Nbf5lGzHcZyC4a4Mx3GcguHC7DiOUzBcmB3HcQqGC7PjOE7BcGF2HMcpGC7MjuM4BcOF2XEcp2C4MJcUSc/MdR8AJI1LuknSrZK+L2kglLe0fyF38b2SFoXjheF4t5rrdpc0KOmmnNrtD+93RNLiPOp05h8uzM5cM2hmLzOzFwEjwHvb0aiZPQh8BTg7FJ0NrDSz++tcfreZvSyndgdDXXOZ38MpOC7MJSZYg3dI+nqwWC+SdJik/wgrVxyYuvbHkm4MK2OcmCr/p1DHaknflfTh1Lm3Sbo+WIj/Kql7mi79Cnh+nX5u0Xbo+1pJXwvlV0rqz9jul4CDJX2QZDrzF5r8zNIrmHxY0hlZPkvHmQ4XZuf5wJeBlwB7AW8hEakPAx9LXfcuM3s5sAx4v6TtlSxJ9ZckeX//IpwDQNLewF8Dfx4sxHHgrY06IakHOJIkZ0MtW7QdypcC55rZvsCTwF9madfMRoGPkAj0By1JvD8bmv0sHWdKPO2nc6+Z3QIg6TbgKjMzSbcAu6eue7+kN4f9XUlE8WDgMjMbDPf/v9T1rwNeDtwQ8gH3syndZJr+lP/2VyTZ0Wqp1/YfQ9/jvTeG/i5ost3IkSSJiV5EslLHbGj2s3ScKXFhdoZT+xOp4wnC8yHpUOAw4BVmtlHSNUAf9ROqRwRcYGanTNP+4FT+2ynaru37OIkIN9sukl4GvJ7kC+bXki62sNLHdLem9iup/Wk/S8dpBndlOM2wHfBEEMa9SIQM4NfAGyX1KVk143+m7rkKOEbSjjC5UvNmEQ+zbLsRTbUbchd/hcSF8QDwOeDzTfZpN0k7SOoiWaB1Ot+542TChdlphp8BPZJuBj5JsrgsZnYDSbL1/wJ+BKwBngrnbgc+DlwZ7ltNsopzLm03IkO7fws8YGbRfXEesJekVzfRp8eAC0ncJ7cCb8fF2ckRz8fszApJW5vZMyH++JfAiRZWap4PKFnU9N9CON8Wx7Oo9z6SxPQbZtdDZz7iFrMzW1aGwbvfAj+cT6IcGAe2y3uCCYlveiKPOp35h1vMjuM4BcMtZsdxnILhwuw4jlMwXJgdx3EKhguz4zhOwXBhdhzHKRguzI7jOAXDhdlxHKdg/H/rYBqiO5o/qQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"jitter_lengths = [0.1, 0.5, 1, 2, 5, 50]\n",
"jitters = [Jitter(pixel_size * l) for l in jitter_lengths]\n",
"\n",
"blurred_squares = [scene.conv(jitter) for jitter in jitters]\n",
"\n",
"for square, blur in zip(blurred_squares, jitter_lengths):\n",
" square.plot2d()\n",
" plt.title(f'jitter length = {blur} pixels')\n",
" square.save(f'square-blurred-by-{blur}px-of-jitter.png')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(0, 1), Text(0, 0.5, 'System MTF'), (0, 0.5), Text(0.5, 0, 'f / fs [cy/px]')]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(freq / fs, camera_mtf, label=0)\n",
"\n",
"for jitter, length in zip(jitters, jitter_lengths):\n",
" blurred_mtf = camera_mtf * abs(jitter.analytic_ft(freq/1e3, 0)) # freq is cy/mm, afts take cy/um\n",
" ax.plot(freq / fs, blurred_mtf, label=length)\n",
"\n",
"ax.legend(title='jitter length, px', ncol=3, loc='upper right', bbox_to_anchor=(1.1, 1.1))\n",
"ax.set(xlim=(0, 0.5), ylim=(0,1), ylabel='System MTF', xlabel='f / fs [cy/px]')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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