natanielruiz
2017-08-07 6f71fb102f509d705d3abaa1f44638a19f57e92e
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import torch\n",
    "from torch.utils.serialization import load_lua\n",
    "import os\n",
    "import scipy.io as sio\n",
    "import cv2\n",
    "import math\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "TRAIN_DATA_DIR = '/Data/nruiz9/data/facial_landmarks'\n",
    "AFLW = os.path.join(TRAIN_DATA_DIR, 'AFLW2000')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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8M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LE9f1DCHTOE8RRXGc4Rax2eWqK2L51IfAGcGbDHShG6/ZajiIqUrUanFQZPDPk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\n8u468Hgo83AVKUVC3zEOmaB3DFNqdzc1vbnIdTe7te1gLIFmu2ut7s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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f534c09c610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['roi', 'Shape_Para', 'pt3d_68', 'Pose_Para', 'Exp_Para', '__header__', '__globals__', 'Color_Para', 'Illum_Para', 'pt2d', '__version__', 'Tex_Para']\n",
      "[[ -1.65866122e-01   1.28811941e-01  -1.13544129e-02   2.45219864e+02\n",
      "    2.17786331e+02  -9.71238174e+01   1.32105139e-03]]\n",
      "7.38038054445\n",
      "[[197  73 293 169]]\n"
     ]
    }
   ],
   "source": [
    "img_name = 'image00559'\n",
    "img_path = os.path.join(AFLW, img_name + '.jpg')\n",
    "mat_path = os.path.join(AFLW, img_name + '.mat')\n",
    "\n",
    "img = cv2.imread(img_path)\n",
    "img = cv2.cvtColor(img, cv2.COLOR_RGB2BGR)\n",
    "mat = sio.loadmat(mat_path)\n",
    "\n",
    "roi = mat['roi'][0]\n",
    "\n",
    "cv2.rectangle(img, (mat['Pose_Para'][0][3], mat['Pose_Para'][0][4]), (roi[0] + roi[2], roi[1] + roi[3]), (255,0,0),5)\n",
    "\n",
    "plt.imshow(img)\n",
    "plt.show()\n",
    "print mat.keys()\n",
    "print mat['Pose_Para']\n",
    "\n",
    "print mat['Pose_Para'][0][1] * 180 / np.pi\n",
    "print mat['roi']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.22988389432430267, 0.1881888508796692, -0.7451026439666748, 239.86732482910156, 225.56671142578125, -104.56599426269531, 0.0014851654414087534]\n",
      "-0.229884 -0.188189 -0.745103\n",
      "((273.17352318298663, 56.235197862929041), (264.77874209870492, 262.2546836536464), (136.80532031573665, 184.14292932728202), 164.86732482910156, 150.56671142578125)\n"
     ]
    },
    {
     "data": {
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CA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b6kVU9RHsMewboGoLJtCwle3dYm49CuYWTcKY4PZKo5sUr9loLI9jSYWzOKmyM\nRJ9FSZoCHeHEIcw5izFCWB0fjDnByD9I/HF8H/5n4G/3v8W/Dfz3wL//oD/4oe/DHx6Dhn4xgKXN\nLTvbdYylhlnH4fqA4WDAcG3E8MIGXLvJ6O3n6J55Lu9QJrBoF8wVnBimRclgezsXv9oOfMgfGtHg\nmbVzFrMlCWWmLU5gaB0uRs6cOcO5P/vtXHvxBV58/lleeObz7Fy4yGg8xVYDpDjGFRWjyRS7MaUo\nCqyYkzrAqlKfz8u93Rqu/55+0/0Cu+/qMXA6JYkPveOSEtoOYeUlGQmx4+hwwZNPPsmtm3cQNyCE\ngO+PKV4zTVhTOmFKGM1cbEOiHE24t7fHxZ0t7tzc5TNPfZq16QaKZVwNX3fTmvuOOJAzjZU0uSzL\nXDewktN6hCCGpEoKeTGiFxZliw6bs4L+mBTRkxpBTFmwZMTmbE/z6zUKYgxODEE44TS4Hpp7In5C\nSF9K27j7437fh/trCSLyvwAf6L986PvwpYrsIYsAeY8yUPa71UZNDRxqZLsoubp/yOY7LzPdWqd8\n79vh1z7E7vMvkVJifXuT6pGzMK1hPIJBAR2E1JDosAZEI+OQUK9IhC2OiCFDRPCexfwQ3zWMH32E\nb3zsERbHHR/7yIe58uLHOHfmDGe2t9neWKcpS+JwwGAwYDhdY7J5hmIwIBYVydgMVLUdajItGu1g\nRS9OikYwaUBA0dKSYiT5JnMieyZh8jNiCEiKxOAZViVduySGjru7M37pV36NZ19+leiGdClijMWa\nhE0dqbCYpufaBsVo9tDsUIJRJBxRDYYctg4z3OEXf+MpDrzyF77nO5GDQwbn34px2WMDcnFwtfCF\nCCoONYFARJ0Q+gKrqmL9aj7D9h2ElM0eekpW6BWLYoWC3gOk94oR9dDqqbBJMsfSmiIPRgUykRug\nXwywoCbShoDlSyhz/v18H6Q3gum/7S8AT/d/fuj78BUKi1JIQBvPZDikqGpiEvAR/5lDttYfB9/S\nvnBAe+02YVLgLm5QXTrH8pwSS0sqasREnJaUQbFeIGS0i4Q+m4gto9EIv5wznx1hrKMqA9/9vd/H\nS88/x0c//BFeePllXr5qOLdzlo31beZlQT2e4xeBjZ2zlCPAGCgUGdqcOqvmG0JPx4CjKhJ7YCkp\nHxNSOjk7a4zgl9B5QoyUruL44BijcOfOPX7lE5/luVdvE92YZVDElkjKak1rCwIgETQEQlCMNSdF\nwyQCLtOuoiRUDVYrPvzkU0y2J3zLN7+PS6NjqCtc4fDWkGyeZVAjWBImO+8gSSCBpS+siqAm9f1C\n2+/2AIZkQ0bxa/6tZs9Jg2roi42ncu6TTCLGk0zlRJ/Qx/1ZzKpoab8Ixtofx/fhZ0TkT5GPD1eB\nv9Y/oYe+D1+hcEQKEtp2NLM56/UlvLWU43V4y9fx3OefYRPHRprglhDu7bN/5Q7lxnXMOycML2xg\ntgd0A4G6t2crsjO1yhhJAY0eiRUSI+VgQLG2lv0cu8hifszb3/dNPPH17+bGyy/z4rPPc/3aNQ5v\nv0RZV9STEUcHxxwdHLF94QLVaExRdigDqqrKDIIEYLI/Zkp5LQhNlhVHgwSLBn9SUyAlYnOE91mg\n1IQZKQk3b9zmox/9KE++ehNjHNZl0EiGtfa7OfnkZC0EzcrulO6TC4vJQ1/isf1wkSi0TeRDv/5x\nKjdm/G5lemaTYjrFlgXJGaIzBCO4tJrn6AeT1JFN6PPIeiz6mzsFNIA1q8Uhm/6K5OcTe+q2JMFr\nHhtf6S9WWo2Vb0TXdf2shjktNN4HYaG3AfxCtkG//3X1h8Qf4Pvwl/+Axzz0ffiKRD5HE1t812Cc\nJdoCszmg/ot/hrcdv5flZ1/k2kd+l/LmHmdcwTk3Ju62xF+9QzM1TN//OO7yGqxXdGWC8ZC2a7Fa\n9CIYl3e3QhEqUtcRAS0Sw3qIBo84x/kn3sajb3krzWLB3Wev8Iknn+T5F66wvrfP1uEhB4eHXLz0\nKOtbm6gFGxVbVVlwVDg6n8X5zjnoWoiR1AZS6ilE0QN9my+2xM7ju8Rs3nL77h6/+9RnePXV10hN\ng485Kx8NqhMq0QqNRmkhBFLbMpRs/+aKzE/03jOfRWIyGFtS2gJNiVIFs1Q+9MHf4O2bE+bHh+xc\nuogOS6zZIMYAZf17dm+xkj0bUiKpoIWgMZCwYJWUeoVkzKrNJNnZO/9mFbFKHq/Kz82KOx0Rv78b\nkxJFcTrwtHKhWtUUuq7LINwHjIeKxq/i0NX8sPeURrNslgIM3DxjmJ7ZYPTIe3jTex6DZ16BF17h\n+MVXIcKkXaM8XnL88Rdwd9cYfN05ynNj2tAQC0MZLSHm87g4m3+WdZh6gBQF0ftctY8BhmPMcglR\nKaqaS9+ywaV3v4Pr16/zkY98hCtXr3L12qvcunOby5cvc/ZNl5hevAhd1uPH0GZHKFVi22FDR7dY\nIDFQitC1DTF6xOYC4bJt8SFx594+d/f2eeaFl9g/POL8oxf4+u0pG2vrbK+vURWWdtnQdYHZfMls\n0XDsG3Z2dtjc3GRtbY3pdHqy66aUuHOw5Pr16+zd2cP7yO7dezSLBYeHh+zf3eeDv/yrvPcb3okQ\n2dg5gxVhMJ7gbEkLlCYbwKK9utHkm5+kePUrvn5+P2U1Q9GrEo3kGocFk7Lvg2TIPVGzRR3wurbl\n6njge0r0yYfpi5p5Mgsfv4Q6hYfxJzc8Dk3Sm5VmEnEqS6JCjRBILEpD9eg69uwUvuFtTK7fo7ny\nKkfP32D3zjVmhzeJV17kTSPPRDZINVTrQ6TNrTqKElMNUFeRVHKxMCmmHOQlqXeBFmvzzH7liO0M\nb0suvuttfN/bH+f6S1f56G9/hBeff46XXnmZM89u8f73v58LFy+yeWYbYy1JEz6GvrjZUagSm5a2\na4ihY9kc40Ogi57dvTlHizk37+5y694u080t3v34ezh38QJn1jYorcGaROyWNM2CmOB8WTNd32S8\nvUVZlifn7pQSzrmT3ffy2zZ5n35DlmiHHnLSBvb29tjd3eVjv/0hPve5Z3jt5Rf4unc8wcVHL7Nz\n+XGkSch4eFIzSJrQnv2wmpswGKwm1DkkBNQHUA9kKfKKbyEx1x/En7CzWHlGrGJV3FxpEULf9bhf\ngn1/HUK/iOPDQ3DrV3E0gI9zJgczXvzYx7nwze+FrTMU3lB0GVXWVsJShCwhgmHK2ocUEnL3Fu2L\nzzB/8XOsFZ4uHcEwp7mljagpc1pc1JSTdexwSjIFGIsUJYL0BjQh73o+5EEck2sC3XyJeM/AFtB2\nzHb3uf7qNbRZ5GOAs7iiYLw2ZbI2xfa0IdMFYtMQZnPics5ycUTjm1xNl0Rkiro8NTnaWGO8vsFg\nOkatQ3yB0YTBYyVirSEAURxeDEEco9EIOG3ZwSkAFZslyanH4hugKAqcLXPLbx5o7t1g97Ur3Lr2\nMt57xuvbnHvkMu6JJxiOx9TDEVKUqLVEMSQxJAFnMu1KUsxI9rbJYJmYeoG3nKLdU3aCWpnBBO/z\ngqKnrdlV0RFA7amo6v6Rauh1IkSm//rffAhu/VqPKkItA2IZ8GfPEAKM2pibT3UJApVCpZp74pDB\nKgY64ykunaXYWSde2OHatedY745Ie68gsyMWA49NUFVDmrIm1CWVjrBdgXUVVJZIJFpBMdjUNxec\nZW5ibiFasI0lNB3OwHh9jbdNRsy3t/Iu3QbismGxd4cbt66TlgtqJ9SNoZqM6AYFcX2bcvgodV1S\nVgOcc2i9RmksBslIdGswhcviq9QrJk2mLgVNmOywS2EcycZe4ONyhhJjvvn7XXe1G5te/RlipEuJ\nGCKqQlVazIVLbO9cYPNd30RaLNi7cZMrr7xK8eJn2D5/nkeeeCv1xUswnNIphGqAFAOqbp0uNeAU\nXwWCKCbmAiWA6bJcOfMYOqJ4kmYPCClBYk3yLQpUlSOELjtbW0vyfY9UT+EyK5K36Amo6oHi4aLw\n1Ry5uY+ta+rhgHt395hunSEGTq4Clfu+9b6HFsZCEmxRcfbyYzQucu+5p6gH65iyojy+hw2BcLzA\nFx5bHuOlwBbT3sq6xq6utB5EsnJMHjBGXEKpETxRWkLhIQYcgkFxKhTDAYzGTLfWOXfxIstbr7F/\n9y5V5dg4dwYZj2FQZCMV21fRRWhMFkYZhZo6p+i2h4qsJikxmaasBZGsR0CEsqhOBUgJjC0oJKfg\nGIPlNHtQFaw9neVQVVxKeV5BFVNVlJMJG2vrXLz0KIfXn+H6rZv85m98mJ03vYmLT7yV9Z0LFBg0\nRBYkbGFRUSRFHBanJU7zeLUWJaTYj1dEitIQQ0b2Z64mGbSbTO8abkFyfaGsB1nr0AueVkejk1mM\nP3Ay4fXxcFH4Ko5kQEPCWcP5cxf51Kc+xZvf8gTl/9/em8Zadl13fr+19z7DHd59Q72aWGSxqsgS\nKWqiJkpqu92KEcNjYvuDnQ7QaAdpNPIp6KATpOU0ECToL05nBIIggBMH7YbdE9qT2ho8SJQtS5ZE\nShQlkuIgFlnFqmLVq1f1pjucYQ/5sPe571WJtEuWIlY5dwGFutO795x7z1ln7bX+gzLYW5rNt64o\nddCRhutAij7lybPcOxpx5dmvsXntMqe1J3cOkYahgvHOblwnLzXAEGQYlZSNQrRJAu3RN17ZZKeu\nwOUZzhSxLCZQqcBwshfngj6Aa/BNi68avC7pLR9iNFxBlpYgNzTOYfI8LlmUQlAUSkdgj/WoIscT\nnZFEq0jFlo5i3SkWRkRl1HD0kd2ZSFYRIZhOGIlU8P3SPDEiQ0ClslwnGTmCo6kj8EqXmiIrOLr8\nXo6+7V1cvXSJ8xcv8dSffYnDR49w8vQpVtfWaA8dwnuNbzyZjie3jjZYgOBznYhOgRDymLXEESUZ\nLJ5I3EIHmqpGKdDaIPiblhTdJGJONQfa7yd1ehF3brSAMRnBO8qlIUtLIzavXGX9nnvmOoZdbvAH\nbgvEUVk8FvFBoVQBo6Mc+5s/jn75BTa/+ST+ygaHJEdVFSE0NG6GcjOk2kEPjxCMRrIirp/FYHXs\nuhti9xuiAIpIICtyRCKenyyn2rzB7qSOK2Yf6GUZ/aUVBquH2J02ZKIoix6S4MEKISiTGnIOfEQK\nio+S7iGVyC6BeET03GuTTvnYe3JMWrPHsjrmg4PMRxUxEqKi+Km13bNAwCmNF4/3CumZeGXGoXVG\nW1mCaNbOPMjayftppmNefuE5vvK5z3JkfY2ls2c5+/ZHQAyuJe6bB5IjdIdJiBMf8NaiVB7p2ioH\nVxPwqAB5L5GifJSH71gj3cQhajl0iXG/YrydWCSFuzgkFYVBxfL3He96J1/+wp+zfvwYGqF1LVpn\nCWd/APHG/vHiu39olO4jBNbf9iizE2vsPvUNzj/xJKO2QiZT9EBTNxWhyBhKiQ8gWQl5CUUZ9RZN\nhi8tkEBDzpMj0ICfzKh3dpns7mHKAb28BG0oyn5UUpK4df2VPrVtmdSWot/Du6j56F03jmsxCL61\ntHUTlYxzk4xmO0agQzBzU5hufOdc5GCGA9yrbjkxV02W6KkQt6YTc+i+L4UogyRzRzE5kseRox0W\nUUDFNijXonPNw+97P/edOcXFV8+x8fQzVJeu8rZ3vodi/TAYxSR4QiZkRQ+p28jhSFWN1ib9WID3\nZEWedCoCbQtZImAFb5Np8L76NQf2WSlFOVy67eNqkRTu4lDp+u8RfADT6/PA2Qd49umv8fB7H6OX\nRdadljcAriTTlHi0JxER0n00k+EKxz74EZY2p3zpX/8mD548QrPbsiMt60cOsV1doj8cYvIan02R\nXh+dZYRMM7MzMm0oRCONp9raJUziEqFAyAfLqKKHZCVeaUQ0Soc0tw+o1mII+GBpq1lUY0IIvisJ\nWqyNLEEjCu8sofURApAscNAK8Q5RBoXqZBDmPoxdHOzWBxXl4yR9ISLCrWKtsZbX6TtT8+8uiKLJ\nFBI8yirERm6Cq2vKwzmnV9cZjmue/vrTfOnxP6V/aJWHP/ABsuURVmA6m7FMlghQUQTGpW0TFaXr\nXHAxEYeAyTNUkmbBGYK38/3RZDerYCXlqNuNRVK4iyOi5NMJndSDj5y6j82tq1x66Rwnz55FOZeU\nmkk+k+lvo0BDTAGhKy/VnJq95ntwcZtn/92fcXRSYl/ewg2EPVVjx4HB+oyxuk5/MKQ/WsL0Z4Qy\nJgVdGpRyNDZQTaa4xpGLoewvo02GlRKlC7wyCcsT6/hOSUlXFm8bTK+PLpmX+cH5JPHW4tNV1ZQl\nrmMMBou0URVJgok9j7aNPQa64d4ta+sQ9mndCY0fkh5BuOll8QQ1ovDGEETtl+Tp/UulkaDwSkBr\nfGiRLEflCqxjZ+8i7/jI32Cyvc2rr77KFz71SR58+CHuOXWSlX6BdRFiLkBmCppkmquy2DQNrZ5P\nE2IiSsskiIkvoR3nzcWwr9SksuK2j6tFUriLQ6XS0gHaaAIRDvzwOx7h8rOXuPz8ixw/cQLpl1F8\nVO0fTIhPV8WoQyBJ+Uh1nYfnLvPSv/o4D84GTK5YGqbcUGOmI835V6+wcqLH0mDI+toqW1c3GKwt\nUa6OyHolqGVcZtAmp2AJPSqiQQzQBMhdBtJd/UOcljpL006wdYVsjdFlTtYvoa0JKsqW29YTnMOG\nBvGB3GS01QSdGZSPsmXBRTqx1tGAJtrYd7JngruFLdhJoR80Ybl11n/wMS/Jf0ELQWUJLKSRoBm4\nyHtwTmLPQfdpg8d6sN7hjh6iGk8Zra3xntGIR/ZO8dKz3+TFb7/I8vIy/bc9xKFD63gCjbPRKEer\n6K+ZNBk67QmJOxpbBtpgtMwnD/H3lVTxRN2G8P0WWVnEHRoSu/D7iwMBXYIuGT5aYM9f4dKTX+He\ne4/DyTXa4RCH0HcGbBa73qIgS8RIDzJ1XHjh2xz/nc/Se3WD3Wt7ZOUq7TULNzyZrzlqhNcubXFj\nacKF/ib5UsZgueTo4VWOHzvMWlbB6gBOnWBPFJJllFKSpxOqascY5RI8W6hnM1ocja2ZVDOWVEuv\nN4y+DXWyZHcN2sWxZksVdRhswM4qsrT2NlpT5XnkT+QZOEVwccQXut7JLPYZOi6A6ZVJmyFWA8bW\nUZ4tnexeQIXoh+G9J2Qqkpy8JN9GwYnHiwWnCSF2ehSC4Ci0IJoEYlrGD/u4tmGctXhtOP6hD7Gz\ndZ2LF14j/OEfsrJ+mIfe826Ko8dofUtLRptASAMX5qIrJN/KbmXYJqQkWsfeTqdfkY6McKuc1V8Q\ni6Tw1zRWZgbuP4U9eZyrly+x+bVnyYOiXDvEteU+y+UylbfIMEfpjKKxjK7N4MVrLH/+q6iN6wxn\nFU3b4KcTBsFTjpZogmXWzOjXgaqZMLteYzMHWvh2sDjXcuiHHuUX/pO/yywz5PkQM7PocQtNjZ1M\nKDdfo2pn1GLJSwNi48Jld5dlEephj73pFGV6WCKT0rsW0gk729mibVvylAB6RUmWZWRZRiV6bp7S\n+TA65wgquixZMWRFHpWStcK72Kh0IZKO2rqZJw1BRb5Hpw2JQuvIqgwChBCThoqai9Y7uhQdx5d6\nPhlAB4Ilyq5rjQoFIW9oporVQ4b+cMT6gw9w4eJF/t2nP8lweYVHP/RBjp68n/HeNr1+Hxf2Je5R\nErEbIng8WvJ5NXOTHH4KrRY9hUUoQ91adnJF796TvOP4fbC5x950j8u+wro9jpk+g1mA81dgUsFz\n55g9e47i6jb6+g0GVcPQeYLSuF6fqpnhlMGWOSe3FK0EahUYTytaiViB7Z0bTKohct1QVhZ74yLN\n5Rvo7Qmhrdja3WJtfAV9ZAm9llMvq8jO1B7vajJtUGOLrxu8zvGSYTsocirjh6YAU5CXBa21lFmO\nI7C3t0dImgmdcIm3bl5JNSFghn300hDVaNrgcbnBBk/jkruzKSiKgkzySFCiW1sJITh841PjLgKj\ntDKgAxI0DQedrHQCGLn5uj+oSGJGojOW90LW62Fcjs4Lqp3rjI4f5YfXf5RLF87z9BNfZv3lF3n3\nu9+NLjOs16gsGszMZd6V4FHRG5R9/QSlb0ameFkkhUW4QFYYSsDhGGtP/+gSS2HEWW9RkzHNF5/D\nPfUyzbfOIZMp0+mYIJ7JdI+TlUGaFuUjMUgFhw8uKg7bFmmit6KRgHEaZRTbe1NOHDnDyu5hqn/z\nJNOdCf0m0KsF9nZAO4p6m8+q17hv9Sy55EgL/Syn13pGoUC3jnGpoY2U8KAdRjSiDRi9j/XvrsxF\nxgwXUYvDkn4+iPoDRMpyW9UU2oAPyZKtpbp+nawsMGWBsw3BOzKtKDODlLHiENVhQB3BBbxv57iO\nkJZa3rdxuqHStpl4QgaJDladG2aSqkZLRgiR1yCAMnkksQXB5D1cr4dSQmYqTp8+zdryElcunOdz\nn/g4J06c4IGPfBRtFIHowO1057otaG1uqhRuBTaHNxhAvVncdlImjzIEAAAgAElEQVRIIitPApdC\nCD8jImvAvwZOEUVWfjEJt7LwfXjrox4IRYBRC41WbFDRqIJ+PabcmHD1f/9Nzn/2SxybOI7oAqMD\ng+Cobc1a8EyaKAraeTGCxwtUbUMIgRu5p8VTtZZWKVoPP/Ef/Syztqb3zBbtxiZl66CN6knVdJet\ndodz25f5A3OZ3W+/QLlcsLq+zAMn7uGBw4c5UvTpmwy3LMyqCUURR2sqMxHvPxxSliW2l1GYgqzo\n07QtYnRsVipFHaIjd9AKFTTalLHScB6vDWpWYXTAtTNaO0MbQ5Zn5HmBNgonKpKULFEDQUiGsNE7\nQTTY1kYBVmvikoSoYUBuMEUORLXo+PcaMUnlOakqd5L2PjmAGxNBUKHIO4oK+MDKyhqrgz4bFy+y\nceV1RhcvcOLMAxA8rRckCM4LkuW4ZMjzZqrNty4n/qL4biqFfwB8Cxil+x8DPhNC+BUR+Vi6/48W\nvg93XuRBOKIHSLVHdmGL3d97nKN//E2O9tZAtVTtlEaDmllGtQJdQM9BGRGInS16AHoJ3GPaCd5B\nbWu8gFMGNvdoNq+xffkqMwW7tmVSV9STKY4WljKaIz3+g9lDXGaHjb0x5zev8fi5DT45EJZPHOHQ\nPcf44e01TtxzJFqduYr+oE/RLxATu/1VcDTTCW5vl/7SkCyNVRQBTKyMvLXzq2Y0lYumrD0ttInL\nANEwRbctrmkxxuCzKEiixCT9xWQZpxS+VVDEk9GEQAgWXAbeR8pz6MXkEyVS4shQm4hHF4OZTysS\nytC5uSeGip0BRJtUFZURxRmEE6fOMlo7zBNf/BK9vGDt5El0CHhMlJBzfi7O8kb0aQBlv88wZxG5\nF/hpoprSP0wP/yzw0XT714HPAf+Ihe/DHRGFdQStqDPBWE9+vYLPf4PX/+0n0ecuMTIBdnfwbUu5\nPKDGIf0eja8wbUttbSy3hSgOGjXRsdZilKY3jfP9XhvhzJaGb3/6M9SuwRnNdttw1VXsBYtOJKiw\nK+AMZ+sB96ucE72jPDA6zKv1Dq+1M15/ZYtnv32V64Mhp08c5pGz9/OOh07SihBaS6YzRqMRZaHA\nxcbgdDzBE52ai6KgXB3NG4GihNbHJuOcBSker2LlIAGMj+YqVZ1smU1GlhUoY+YNRCWx8iCpQWdZ\ngaLzXvB4G/kRWgWsiskkiMbkGd4HxCuCCoCNHI3UtAx05X5nMx+blmJyQgCTF5BbZuM98uV1Pvz+\n9/HFxz/H+z7yYY6ePoPKsoibeJPq4CBWITS3P3643UrhfwP+a+AgVvLoAeHWK8DRdHvh+3AnhA8E\n49kl0HMt6stPc/XXfofjlzbpBeFKscd6L4v+hNtjRAt7GUwyh5SKlVlAMoNznrqtKUyGSEapc7Is\n47KvKbQiZC7yKIzBNZagepR7M9aWeqisT6+NwinStsyqCbOdGU8MpxzJlhg0NSu25FG3xNm2pJIV\nxm3FJ7MJz7x0ntdee4UL509w9sx9nHngfgrrGFczekVGWZZoUZQojNJRZGbasDm+jDKGolfSGw7o\nl0XkYegINmoyQ+EjnVoj+GTi6m3UNWhsS2gb2jZWGtrkkZadYOJ1SLgO0WRKRyCRd3FC0lhERyFa\nSQ3PoAWcRrSLhrou9kMEvc9g1VFNQUVIJkEZvImKTR5F3h8CMPQ173/0PTzxlSf4sWP3RHxFXuKN\nf8PlQceFCCFQ5N9H8JKI/AywEUL4qoh89I1eE0IIIt9FezO+78L34XuNNhCMUEksWQXoBw0NvFoY\nDgFHrkzgE5/hyic+w7HxDr2lgK0mHGsH+OCYaYuKhEnK2YzcutRoSyAg7whGYYzgfdQesLZhVUdQ\nTxQQ8fjWMww5rnE0/SGFwEprGWKYqYAtFAOjmbY1/Rm4cU0lGq9DhEQXGQWwnGX8PDnn6fNqNeOL\n37rOU69t88HXx3z47CneduwIzaRiasaEMrIetVfkIcN4RekrrHdUu4H6RkY56FMMhvSXhmA0QVKC\nyBQojdUKb+IJ76ylmEYBmODaiJK00axFpTFnozKcrxCjsSFEkdsQUMZEp2jvCUGSx2V0dtLaQAtK\nFakRCUESozQzEbkdAsoITnmccYRE4iJLScUHdllmSWc8evIUn/rVX+Vv/fRPcuhdD7NdNWT9UUxS\nEt9LJ53liGKdQ1ZvK26nUvgh4D8UkZ8iOhGMROQ3gKudzLuIHAc20usXvg8/oKizqBrcQ0EV/QNb\n1dIWhvt3AzKt2frkZ9j73JdZ3ZtRzizNeByFSlRcy0Yno8jOM8bM7ct9Yuz1ej2qqgL2BUFvNUI5\nqBWoVOQcmDyL7w30VUkbYuLyAo33jMfjyEAUiZ6WtsGY2Lg7S4/T/WWutQ0X2wkvX9vgT68+w9de\ne4b7Hj7N33/4MYoM/LhGlQpfZkxMoNKB0dRFZyUf8M6xN53AjevoIqff7zNYWybPc5Q3uBDwrusA\nxMRgk51cfDTiiYMPqOAwToFEYVft48hRJck1owr81CUj14D1USXKeo/T8UruFSCdwW4yiCWgs46s\nRdSAMCYCrqyLbtsISkUkqGQ5xx84wyPB8hv/8l/wI1s/wXs/8hFqH7BtTZFl0TRm7ggVfxf7/eQ+\nhBB+GfhlgFQp/FchhL8jIv8j8EvAr6T/fy/9ycL34QcUFckkxgKNhV5O8DM0Grmwyfl/+1vY51/h\n2LihP54hbSAvBmBbWmsxmSYvClwTITda6+jy7BxKbpYLd87NQUFKKdqkvgz77MK2bZN6sorKSyGg\nM0Nm4hTBJVRgTc368ip128bpRtlj1tQ0TUOwLXWhWGkVh+nzYD7g7f1lnmmv8OzGDb5x6RV+4+KY\nd52+n3tGI/q5oTcoCT3NcDhEF4bCmDjPJ6IYm6Zh1tSMd3fZ3dpgZWWFYjBE6YgPUMpEZKdW6CKP\n/YOkwOSciyAloBXIfDRr9U2DCwFdFtEZajaLxC4KnAejFUGbOKUI/gDMOPpJIB6lsn38gFIoFRGS\naBU9J5ONPTbqZWai8EVB7WpOvfMRzl6+zD/7P/4ZRQ2n/+ZjlEUBbYtTPi5VAHRSsf4BqTn/CvBv\nROTvAeeBX4SF78MPMgyBrI749npUUtGw7DS8dJnmn/8Wg8tXWWocencPsR7ynHprC9Xr4dsG5yIg\nqKoqiqSPKCGeRFkeS98QAv1+n6ZpIhnJ+5uqghDCPBl0MmcSfCQvWUsmipCqgJ7WOA9LeY/WWfom\nJ+QFKKFxljp9xlXZY7sec0gUK3mfgSt4YOUhfoSKy1sb/PNnL/GtF65x7z0rHBktsZoV9AkcGS7D\nmQGj0YhDh1bp9/uxOujBMoG2rfHVDjdu3GC2N6YcLGPKkqLXJy/75EpQWRabi14nolasjnxI2kVN\nQ5vs2fKyoJ3NaL0jz3MyMnziOaiyJE9iJyGBiUQim1KpKGFnCkMyvI6CKSa5UasO7yCEEHkfzkcd\nBSkyrIVZNeOH/9a/x6vfeok/+q3f4T9+8F56x47hjUGyLPYTlIr1T0hmF7cZC+HWuzi896hdgVK4\nUDZkCMfPXcL+2qfw586TE/DbO6jxBKoWUJGUBOStQ2mhbVvwDqOiM3KnYCwqzCsAa+3cgaiTJnNp\nydE9r5IgSXc8Oefmc3kFc19J8QFt4jLiYAOQBElunMVRY33AOSHYwFI+oC+GnlKYIHzc7/L8eIPX\nZEZdQmk0K0qxpgvcyiSSi4qcwbDHsSNHOHzkEIdW18gyjZ9t4XxcJrQBGmuRRN5SSqHzuHwyeQZa\nYTr5d2K1pKpq/h3UtsV6R1EUcdnU+AidRlEM+wSToYqMoHTEL+g8KklLlIELOjE5kx6GNllcNhz4\nfUNrwXq8tWQuUIun9rEpqqcVs9c3+NNPfIr82DIf/fd/jOWjh5FBn1ZnYAzG5AgapzXZu35+Idz6\n1z0UMSGgYSkYlqopG5/4PIMnnqPXz7FVhZ/O0C5A8POrT3fU3ar6q5SKqDwVLcu6XkFXMRyMzmF5\nLoKalIW7KmLONPThJgMTCYEQTeHjyda0mCJHiSLLCwqfsdT0oYAdWsbBUTuLdS2t1xSi+dn+Sd63\ncpyvVTf4+vgKm7ZiZ2CY5YpDPmM8tsymlumkZeP1LcpCszpa4sQ997C+PGBpeUimMoJtMTqnqmo8\nLWQaZ3N6/X50sI48Q/KiwKcvzWpDXdcA5KFkWEbDmcZZoEYXOVpJBHm5lkz10SbgGsFnoDMdS/vO\nHkKi4a5InErAgZ6gT7gDlViOJupUGm0IOIJxHDl5L4986H089edf4M/+8A/4yV/4BaTIEGOSvNy+\nue/txiIp3MXR4GlKTWFh9TrMfvtPcF9+nsHRVdzGLnZmkVZQPikkNS2ubclEz5tokKTOnQNic04D\nLk0ajDGYosA1zU2fbYy+qYLoyEdRMSj1HlJXv23bWEKn5NPW9Rzh5238nDizj9iBWULvFtpQ6pzK\n1rTOUjvH1LcU7Qb35SscGx7mXeUSz8yu8Xy9wXU/ZeaEum4ptMI7xbAsEAfb1/bYfP2b9HsFKysj\nDq8fYmlpQF4o8kKjtUBradC0s4q6qsjySN/ugFtFrySYbJ4E0WruCp0VBaaXp6SoaGdTJCgkiUGI\nd4h0zydJedUlhNhL2OdNxO84QMKJxO+uTf0ITcoiecFePebEI2fZevUcL7x6jqee+Aof/PEfo3WO\noBxGPNA5X99eLJLCXRwz5dlDsxYC2ZMvUD/+NMdVn1226TcesYEMgwRLmMwQrcl0BjZg1S1TA63p\nWj+dCnDZ60EI2Lr+jmpBm/1D59YmJMTZOxJNSvJ+D0idfWspBn0yk0XlFOtScrC4hA24kDeUtWXZ\nwwghcwqrcqZiqbzlktni+KylsAPO5D1Ort3H8bbgq7uvca6J9GqXR76Dr1v6eUYvVwx6S3jv2box\noZrWFKVhZVQyHJQsryxRljmSFXjr8ARUWVLPKlzdSdgJLivIyzKOGrNYNfSSTBrthKZponBLV7qL\nRIcoQBnZd4yWKIoTE0JETh6MjurdJREvEpWYkpKWd3GpYoqcVnsee+972dy6wYvPf4v1M6c4evZt\nsReBi6PP228pLHoKd3d49iZTlq5MqX7tE+TVlNeuvcKJ8zcwXuOahuCT5DchkoRIUuXKzH0au4PT\nh4jFP+h/EI8PT+hkyaTzF9iH1R70TwTSmllHAVRS74CIA+h6DyYllQ5ufBCz70OTlhqRS1TNZtim\nnesn6rqZIxV1kZOXxdz74UXd8PUXX+DV6Q0mylAbUNqzlCmWewVmkFEWGb3CYIyiKDXGaJQGk+f0\nhjmjlSWWlpboDQYRXq01rWvIsox8eQh5jvT6BJWhTI7WOcorarYI3pOhEOepZxUmzyIPw2jEDMnL\nXmxk6ixWClm+T4W2FlGJ7ES3dDBzmLmvqkjY9C4ZyHhca3G2oTetqeopv/u7v0sAfvLnfo7D95/C\n6gw9WIq/8fv/9qKn8Nc96uBY0j2axz+PvbEN0z1WLo8xDiA5FOsslep2TtvtDjLouPex9E/yS99h\nTybJ8Tg9AHQqyDfLiHdhrSU/oFhEJ4aaphcHlY2Am2TEAERnaKWi9LoP9IuS0KTxpXVYUUjbErxn\nOq2AmGiKXslpCZx6+L18dfMyX948z7byUayk8tzY3cH1oVfmDAY9yiJj2C/plyW9IkOhqPcs16sd\nbmxsY3LNcNRnZWXE0soSo9GAuorb4JOlnjctkllEZwRjMLkG67GhJR8OyYqcNlGzS6VobQOiMEJU\nag4u6eSFVK1xQL+BJPYic0l6SSPOOA3Zx5o0hcJkQx577DE+/8eP8/gnPs3P/MIvUhw9QuuaN9bp\nfJNYJIW7OBqxFBdvMHvqBZZzzdbrO6zWitlkQlH00vp+X2ZMDlQKWpu5UnGQMFci6jrrB5uGpHUp\nMD9Ytei5/l8X3cmutcY2bUxGPh24yTAmhIAk78TuswACAZtIO8HE50ziKwRnUVqR6djUywqDqiqq\nqooCr62NcuiZZ2A0zc6YDx+/n/WVZZ67cYUrsz3q4PAhMG4nTGcNVb2HUZpxMaPfKxn1o7zcYK1P\nZnIkOMQFJlu7zHZ22NrI2VtdZv34veSDHl6SvZuzBHEEKfDeoLMCpx0+qNREzEDA6JxMKZrW4cUj\nIYvOT2ksHHsHxTxZdtVV9/8cMObjaNRai5bQ5XHCoEc9nnLq/jNcPXOB5557nie/+AU+/FM/TWs0\n2nwfregXcedFdzL2dMZzn/4MjzjP7nSbgI1S4KMBKi0f6qqaG4QE6+ZXIskyJDhs0wDRZNX7cJNi\n0Vz6XDM/2UMazWn1nROJLg46FLVtS1EUVGmUl+f5vGrooutXzP/OeRSatrEEs2/O0lUtqigotMFk\nBa5pqacztMBsPGOSO0a9Af7iFR7uDzi9foYvX7nAS26Pnb7hkC2p24a6jftd2UC7PWW6XXFD7dK/\n0ePQ+jKrqyPyQtHrjej1Nc617GyOGe+dY7g8YrS+htNCb3mJpppGbcr+MpKF/d6Kkvl4UUnnhRHh\n023bYCRHVKRYiwjO2ki3DgE9l1Pbl5/3kpypjcFnGcHFaokQqH3AZDniWx566CEuXbjEi889z/qp\n0zzyQ3/jOxrFf1EsksJdHGZjh/7lG2ACs51ddDODYGmCQ5p40nUn3EEjVRHBtg3aJA/G1HTs3JFE\niPbzqaxHBXRySwKF0ZpO/3RuzMr+/bkfQQhkWuPaNorEihBchO7O1x8hYJsmPpeSUKZMbNYpQaFo\nfBqPKgEh8h20RpcaipI8z7F1QzWd8Xqzw3R2g1ODFZhaTO354fseQO+8zle3L6OD0MuKeBXXGtvU\nEZ/hAo2F8eYOmzd2GA17DIYFo6W0fFga0B+McHXNxoUrbL6+yWhtmfFwm+HqEuUaTFuhEIlSb5me\n6yl231FbN5gsumlZb5GQEdJkQ+fZvI9w8Hvtvtv5Uiyw36uR/aTjKku/KKinFYfuPcHZdz7Mn3zx\nizzz5JOcOfMg+dqI241FUriLY/r411m5vAerfUJd07eWYDyFF2wyHtXpiu1cpDB3B51OCLtYwu8f\nvPCdnHxRcVwY1/7hO1536xIiDt3D/HO6CqB77UFKbxc3fWZjY1IAbLAYo+OSY26yoCEpFSPRD1Ob\nHJ0VrE8N051tLm/dYG3Qxwx6zK5v8oHjx1nVOV/evMDW3h7lyohxU6HzHNEe1fqYBD344NjZbdib\nNGxdn7JR7rK0NGR5NOLovUMG5QrVbMLO5U2KYY7xHuMcjFYJWYZ3OTiDyQyidZTidw6VZbEvIiAm\noh29dxHOHOISSul9L8toIX9z0u2qxC4hdPL4A1VEk1mtqLznzLvezrdeOcfV1y5x+dkXuPdDj972\ncbVICndxXP7UF3hQrzDb2yS3LX2naJUnqzwhLQPCAftynfwYg/eptA3RFxEfATEe0hA9/k3YTwAu\neCT9jfWODH3TiXzQnci3NiWB+FlqfjKHZGDC3OYM9sFTzvvY52jSVETHBmnwIfIRkvuTjuuZVD0o\nfIg9ENMrWG9z2qWMy+OrfLvZxugJx9bWKTb3eDcDNk7cx9bzz7K5sUGrIycg14bMx/cUrZAQ1+7e\nBRoXlZbqasJ4z7E13WDUKzmytsLyygC8Y+vytQibPubQwZEv9aHM8WUUllWi8K3FZVFuXptIxfbB\nxilECHhvQe9/p4ggJtnxdpMgpSKWIz2/3/QNqDbZ6GU5lZ1hlnq877EP8mef/gzf+OKfs/T2+2/7\nuFokhTs6KjyaXQwrTmDcsrWsMQJLl64js+u0qwrZqtBjB7pENy6avtomXlslMuwsASuRrBSUmmt+\nx/m1SgdmN2LU0dtUEuRZQmwU4nGOqBMo+0sEZcz+SSoCwc2t2oLEZmHbtvMuutioUwhJyNQT3Wyc\nRxlFbUAkAoN0btJ7ecTH/dGNi514rcBZVBHdmoMEZCnHZwPuGZ1ha3uTra1rbDc38KMlev2CjzZr\nPHjPB3j83Le4QssYmNHS4PBYau2otdAYwSoVhVuCoecUvQqOXYFmsIf1FWOf0+v1KHojTFNgd3ei\nK1TwGNtHBUH3FIHYCPXeUw5HJI2oqENBiHBnL4gUEHIky8BkgMeHFlRASUgGM0BKsoGoAuVdIIiL\nZCov5N6QKeH+E/ex9Y5HeOLPv8Spp26fk7hICndBzAd+JuLSsnQ19VWDEUVTN+Ta0NZ1HP+F75Tj\n6hp8Bx87GPNGYmr4Cfqm18fnE5Q50/hqXxPw4JJAKfUd2LmOMNU1GJWPZb+SzuQ13FR1mMTs66DT\nB5uSkCYpIS5pEEFZmyTXAQVFmRO85dChQ4DltcvnaduWdTmEZDNOHlnnRwcf4KlXzrEbHGNb04QW\naxsqVzF1LTtNw4TAdDxhgiJXGXme0xSBwy7D7DlCPcOPQJZyaHZoEn5g5EE7i3aWXgiYXCceCLh6\nhhOFNjkOjWSRUalknzHpkyYCink55WG/+ZjQkPibvxOXxsZGa9qmplcUnH3obbz0/As897Wnb/t4\nWySFOzi6Ynt+kimFYCPR6cLrrOQ9pHbYacUoy/FNBUrFpXbYb1R1J9hcazEETHbzqduNIfdvH1hG\neJ/ARhGRqMLNSeOgTZnERsVN792d7PugqP3k4UM0qov+CYkuyJu7NAGEEFGC3nUiJ24fUm0nZL0i\nViPWceTYPWitefm1l7EtHD7iGE1y7sl6jO5/kPPXrrE9mzDDYTNHzyjGtmHH1uzQsukbrrZjdnzL\njarmqoX1mebefp97R0Mi6LjBWs9SYRhv79C2LUury/R9wAq4zND4QG8gUdBVKQRN61syko6j8qCi\naAzBR24DEhmUQaeEl0Bmsv+9omKCMJLUp5zDhhATWNWwdnid97zvvXztC39y28fdIinc0SFIUFHh\nV4BgoyNU47n41W9yTznE707oofF1izYZzkbkX3bgCj6XRT9wkt2CN5pfxbuTl7Cvk9A1tjrBjlsb\njX8ZKrZ7n+79xcTehm/tvAmpJJ4AKCG4cFOVcivJ6qbOvPNYG/cXQImDNhKWtIJ2VnFodZ3cFLz2\n2iXOX7/Aw8MBA6VYbgNn+yOuOdi1DRUeqWYsYziqciojvG4nrOiSTd1ybbrL667hknVcayZcdprj\nznJf6HGMHDVxLC/nuGmFywtCNo0chCIn5DkTu01vOABtCD5ZzmsL1kYl+Jy41CA5TYVu2sK8FzPn\nSEgcVnbfjeuqNK3wPnJJJDfYpuX02x7kyisvAVu3ddQtksIdHAGFOEEbiaVkbhAq2KtoX7mMNBbJ\nS3TYi2YgzqGQqPbDzQzILjns37fRMKRbLtyyVDDaxOYX+xLkIl2CCXPUnU9Jo5vNx6VHhDnbA30E\npRR1IkLNATdKYtOtQzsGj60iNHjefEy8ii5ZiQiutdF92cdvSSBKyQNeWhQBER31HExOXVX0ywGn\nTt7PM7sV1yfb5EqTFQMGRuFCHz+BAqhdC62jdIGRyhllq9xTwJV6j2tKM3ITXsFxUSznxtuszuDU\nDrzn6Dr3SR+yIVloCG4H8YFyeQklgslybDOjmcTKQOUWU5bgDOJb8IrQVngVNRm8yVF5NpfXDwl5\niooSbnXdoMI+BT34NNEh2eOp2G8QE2nbZ9/zTvjtZ2/ruFskhTs6olX0/KIuUWyUazfINnbipXA2\nm5+UoamjZLnWqLDvVsQBDMD8rdIJ3Z1s+9VAjCgs0s3D9/+uwzGERM7p/v7gqKwzNj04suxe1y01\nRCnEB4IE2qZFdSe9MTfBoW/dru57ie+XqiEXFZV9kj4LwaFUIASZaz34YMkLwz0nTvHc009TrTec\nPnaCrOjTN30OZZobe3uYQQ87q3G1xU9nrPSHDBrFKiMe6A1Yn25R6gqrK14HJq7l/Bja2SZX9wwP\n1sLpY4covaaeNZheg2kzvC3JgFBXc6Yl1uL9JJKvEHwgYi/E0VQzMokXBJGYoOfLM60oeiXYFt9a\nrAQkGcu69LtHeXpAC84oTrztzG0fdd+LGcx/B/x94Fp6yX8TQvhkeu3CDOb7EJ5oGtL10EQCGQr/\n+ga93Ro5sQZ+igdsXaNCINdmftWdl/pvUN4fxBd0UNru8ZgwDoKdOlakT9iAuJ4/uDQ5uFQR5Cao\n9LyPYWID0YYIuUZH0RVVFrF6SDN32K9YbrVVDyGQ9IRiUzJNSpJ0MdYrvBPQIOLRJvKwnW9Rojia\nH8GeeIjzl16m6JUcWhVyKRj0S7COye4ejWhCT2Otp2krpFEMtcGYAilGDNAccoHzwXHVwRaOTa+Z\nXmu5UV9iVjvUyXWKPKo9G2PIco1uYdo0KB9VsCQt07AttA1aKUI1QfIB/aKkbV3kRxAbqz4lZE1C\nR6p9eXdjDK2zcSqRlpteIltVZ4amrm77uPtezGAA/tcQwv908EWyMIP5/kbYd5V2vo0ux+MZh4oB\nGBXFPYzC1dGJKfoPqJsARW+07j84bfBuf5Kw3zxM7smJsxBfkxqAeLRk8xP2IKHp4Jq/axxq0sRA\nR0HREAJOkptah7SMWW8+leiqmIN9jXBLwrAhYSC8TwQq0KZICEWPKJLeQUueR2q43vIcXzqK3Ctc\n3riEB06sHcdoYbnXY1Q5Nu0ebWbwWcCQExoflyfWMsw17wp9HrCBV1v4Fi3fVIpzCkRX3KgdlzZ3\nOXV0hfGkIl/KUbYk2Jw+SZw5eVwSGkxPx+WQn2DQBA2iPeICmYmYD5HUclZqvlyL82P2l1UBxO//\nzoF4NRGlkKDJ2ts/1W+LOiX7ZjD/9228fG4GE0J4BejMYBbxXYYOARKi2AGaDE3AKw3DHjQW1TgK\nG12gpHUEnzSCgkHpEpGuaRUSejGxI9GAhqBQKkPpnPiUwtkwp1HHZQLEkj1DmxIlBT4Zw3jv0akC\nmENyQ4bogiAZEOXJ0CoKtwQXzWFCJPV4Ehkr02AUbXBYWiSL/pQuVRyZKch0jpb4WSZojDNQk96r\nxuuWDIVy8XmFwrmAbT2z2tI6EG4gPnBkeA8PnXo7F197lRjij8QAAAQ/SURBVO2dqwTXRBv3Y8sU\nawOCnbCiHauhZdlAmSvaYFE1eClZWj7C6dFx3j84zmO65D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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f545c13ba50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For pose we have [pitch yaw roll tdx tdy tdz scale_factor]\n",
    "from math import cos, sin\n",
    "\n",
    "img_name = 'image01131'\n",
    "img_name = 'image01149'\n",
    "img_path = os.path.join(AFLW, img_name + '.jpg')\n",
    "mat_path = os.path.join(AFLW, img_name + '.mat')\n",
    "\n",
    "img = cv2.imread(img_path)\n",
    "img = cv2.cvtColor(img, cv2.COLOR_RGB2BGR)\n",
    "mat = sio.loadmat(mat_path)\n",
    "\n",
    "frame = img\n",
    "pose_params = mat['Pose_Para'][0]\n",
    "\n",
    "print pose_params.tolist()\n",
    "pitch, yaw, roll, tdx, tdy, tdz, scale = pose_params\n",
    "\n",
    "size = 150\n",
    "\n",
    "p = pitch\n",
    "y = -yaw\n",
    "r = roll\n",
    "\n",
    "if y < 0:\n",
    "    face_x = tdx - 0.50 * size\n",
    "    face_y = tdy - 0.50 * size\n",
    "else:\n",
    "    face_x = tdx - 0.50 * size\n",
    "    face_y = tdy - 0.50 * size\n",
    "    \n",
    "\n",
    "print p, y ,r\n",
    "\n",
    "x1 = size * (cos(y) * cos(r)) + face_x\n",
    "y1 = size * (cos(p) * sin(r) + cos(r) * sin(p) * sin(y)) + face_y\n",
    "\n",
    "x2 = size * (-cos(y) * sin(r)) + face_x\n",
    "y2 = size * (cos(p) * cos(r) - sin(p) * sin(y) * sin(r)) + face_y\n",
    "\n",
    "x3 = size * (sin(y)) + face_x\n",
    "y3 = size * (-cos(y) * sin(p)) + face_y\n",
    "\n",
    "print((x1, y1), (x2, y2), (x3, y3), face_x, face_y)\n",
    "# Draw base in red\n",
    "cv2.line(frame, (int(face_x), int(face_y)), (int(x1),int(y1)),(255,0,0),3)\n",
    "cv2.line(frame, (int(face_x), int(face_y)), (int(x2),int(y2)),(255,0,0),3)\n",
    "cv2.line(frame, (int(x2), int(y2)), (int(x2+x1-face_x),int(y2+y1-face_y)),(255,0,0),3)\n",
    "cv2.line(frame, (int(x1), int(y1)), (int(x1+x2-face_x),int(y1+y2-face_y)),(255,0,0),3)\n",
    "# Draw pillars in blue\n",
    "cv2.line(frame, (int(face_x), int(face_y)), (int(x3),int(y3)),(0,0,255),2)\n",
    "cv2.line(frame, (int(x1), int(y1)), (int(x1+x3-face_x),int(y1+y3-face_y)),(0,0,255),2)\n",
    "cv2.line(frame, (int(x2), int(y2)), (int(x2+x3-face_x),int(y2+y3-face_y)),(0,0,255),2)\n",
    "cv2.line(frame, (int(x2+x1-face_x),int(y2+y1-face_y)), (int(x3+x1+x2-2*face_x),int(y3+y2+y1-2*face_y)),(0,0,255),2)\n",
    "# Draw top in green\n",
    "cv2.line(frame, (int(x3+x1-face_x),int(y3+y1-face_y)), (int(x3+x1+x2-2*face_x),int(y3+y2+y1-2*face_y)),(0,255,0),2)\n",
    "cv2.line(frame, (int(x2+x3-face_x),int(y2+y3-face_y)), (int(x3+x1+x2-2*face_x),int(y3+y2+y1-2*face_y)),(0,255,0),2)\n",
    "cv2.line(frame, (int(x3), int(y3)), (int(x3+x1-face_x),int(y3+y1-face_y)),(0,255,0),2)\n",
    "cv2.line(frame, (int(x3), int(y3)), (int(x3+x2-face_x),int(y3+y2-face_y)),(0,255,0),2)\n",
    "\n",
    "# Draw bounding box\n",
    "\n",
    "plt.imshow(frame)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}