natanielruiz
2017-09-27 0be0ecf0a8fc6df1f9e354f8aea12b7008f658f1
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "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\n",
    "import imp\n",
    "\n",
    "utils = imp.load_source('utils', '../code/utils.py')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TRAIN_DATA_DIR = '/Data/nruiz9/data/facial_landmarks/LS3D-W/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Data/nruiz9/data/facial_landmarks/LS3D-W/300VW-3D/Trainset/001/0071.jpg\n"
     ]
    },
    {
     "data": {
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Y+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\ncWQBcqsFCngJAYlEOIsMS1IGjt25F15ACMHAwACWZYX5KTJqR/L2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4x9KWbBwIYVCgU2b\nNhGPx0kkXApPTdMIhUJkMpmAa/dQSWtr6z6V8V9kTzmsKmP35rP1FVi5XCYej/Pss8+yY3h3w2/N\nXihHKaPY8Denvo3OeJrNT/+yoe0QjTN8WCpiCTJVMUaqdx7zFy/l7p88ycDAQI22y0tQ9xWVn3sb\nDofRdZ07bvpkg+9wqhxsaS++1R/+8If86le/Yth2++Nb25FosmE/PVTl5Hlz+cYNN/LCfd+nvHMH\ncc1V3H4/Q2K24ZhsuofBElz00Zv54SM/4z8feLChDyUPlFHXdXK5HL0d8UDR/883v02mux290tjm\n/vB9Ih0t3PS5W3lyzfNUFZDqltr++JXlCmED0mqE9118KWfMjPOTe+4mJWqotkbJbJzMK2JjLUTv\n265gfGyc//jG19AlMCQQzMb6A73sjqOPM3PVu94Z+JWBAKnR983quk5XVxdnnnkmUIMU2LZtG2W9\nypXv/wBXvf/yhjb9Y6PRaIOPVxRFbr75Zh4+5fSG7zVNo6+vj76+PqZNm8aFF17IxMj2BmjkYDWm\nKPT19VHWyg3n9KuJ/RxzfzU8Y8YM0um0uzrcB9TyVLI3i9jvd31Ov29NF/J5FixYwOrVq2lvbw/8\n86Ojo3R0dNCtRnj11VdpaWlBFEUESUaWa8ZTfQJYkGE2BX5SsVjEcZyAF9Y0zcDYa3bj7Cv7Zn+Y\nTfuz6P/Q8noxeg4rRb8/8X1+ryean/FeFH+AVL9mxE/VC5WxvAqSiFUibJXBjrqbN4lUQi72hg+y\nlPKIjyuWhf4G13KrVq0il8tRTbtxbMN/SaUmIm9bRbBiYNpk9BKxag5bHAVqAemQ1Zj62GIMUzJV\nsDUcRCpiI055lxXGtm3Gs+MklS4qchHJu56q7G4H++gPFSd4cdN6qoqLmijXPZde1lyApuifI6OX\nyGglUqKG4mioZiN5dVhoVPRVxUURriqgSy6Cgn8a/9pV3011gHnk7e3tfPCDHww+h0Ihtm3bRiKR\n4Kuf/SpHHnkkU0Od7SmKopBsaeFzn/sc11xzzZQ0dmeeeeafRAbJ0UcfzWOPPUZ/fz8LFy5k48aN\nbn69pO6X0vBgRRRFWlpaGvCD/iL7lsNK0df8kZ4F4WdVeD7dkByilK+gV0xk1f0tHo8zPj5Oa8q1\nvAqFApZloUstYGtYkkAkI5MXQ+gSFESLzpm9DJmgWBCtWKh5jVy5g5hQIi5PgK0xKYWxJRtbsgMt\nl7YkjjnmGE455RRCoRAVUeXhhx/m5ZdfRhWj2BYusba8J+ZMYK0EOO2eO0groYlh+kYrEO2llN/K\nBy+/grkd0xCrBtnRMZ59aR3bBscJt05jW24zu0d3YOWHSbalGB20yes6Cy5+D5rTSXfnYnaNbWfT\n1pdQXlvHgkKViqNhOTLoFplUC1FTBlHDcnIYZpH/uush1LjCpOOgtAq84x0fQnIsZLtEtZDDVmzE\nJjyfoBrRu1c+3LxfTamHI4yXqiTiScrDw9x6vYsHk06nefHFF3nyySdZO5BFOqIH3REx8hb53g7C\nQpVIRKYamc1Qdwut0QQxU2Bg0zaqKQu1b4xWR6UqQ6+tYyZUdDWCbEbIlBVE1c0IWb58OUuXLmV9\n/y5eeOEF+vv7ATAEdxLwYwl5zSKnWUSQiUYSnHXGCsAluXjy10+xmwGOOXoRv/jFL9wCIEcLVmXR\niGvVVssiODZCU0aPaZogilz8N+fw9EMP8tJLL5HNZhmZnOCk45dwySWXcP7550N1Yo9qajns/lUU\nmVxpYg9XjOV41qzvazZtKpUKPd294EAkfGiVq9u3mrpQFPcajZDlZgo5Dm9dsYKvfelLXHjhhax+\nZT2jEzlS6RZi4Uhgdbd1tVOtVuvIrWvtN2dCWZ7f3NF0HMcJwOEKus4JJxzD008/7f6+FzVWb5nv\nLSNnfy6zw078fH77T9iin0rOPvtsxsfH6W6fjm3bbNiwgXXr1u2VhSaTyTB79mzmRdIoNnREk2T7\nh9i+fRynNIxRGN3roKxYsYKTTz6ZQqHArl27UNJth5xsOJPJMH/+fI6du4itr2zg6CMXc/F7/p7P\nfukOnnj+lX0e2714MbnV/XS1qPS+fQUsmMOm7/5wr/tLksR7r/h7MhmF9ZsH+NYPv0/H3JmH9Hpy\nuRySJDFjxgwEQWDDhg2cddZZLF++nPdf9zEM0yQkTe1iWHHa6dilKuTKHDdnIevz28iXN2Luntjr\n+ZLJJFdddRWlUikA21q0aFGg6JtFFEUcx+Gee+7h/gfuZ0aXm7W0bt06MukUX/3SbSxZsoQNGzYc\n9L2OxWJs27iRmz75GV544QWeeeYZV2FpFWRZPiBavGw2e0CuhFgsdli4HJYsWUI2m3VXiOPjpNIt\n+z/oL/I7l8NK0e/NNz+VBP7lUoktW7bw5C+eYcWKFUyfPp3NmzcjaDqCINQq3Twpl8uYpok5MMqa\njRsJRcIsPPJIFi9ezPYNJUwS5CuVgLtTFEVCoRAtLS0sXryYdevW8aMf/chtS3DblSSJcrlMqVSi\npaVln3m8U+HoWHVJSb4yURSF73znO8ybcwRXfewTzJs3j8effQlHmjrPt1wu05LN8thjj9FhjyDM\n6ebUy9/LrLeV2PzCA+4xgkt87FoxNgsXzufss89m+9YxPv7xj6NHZCobXkYUa9agz7jjW+p78807\nTZ/9sfMxSaLRKKtXr+a2227j3e9+N8cccwyRSIRcuUwkJmPbNoLXv+DYokZ5JMtjD/yUBT0zmHvB\nm+hZCOt2/2avz8Vll12GYRjcfvvtlMtl9HCjJRyPx1FVNUAYLZVK3HTTTYiiyMzemdhGkVKpxKmn\nnsp1111HTJWoVquoqhpY1b4+9a81FotRLBZRVZVoNFqLD+g6zz33HL/85S954okngrHz/dv1Lo1m\na9Y0dWzbpr+/H0VRai5Gf7ybcX88zttGDoT9+BPfQL54cyaM4zgUi0VOPfVUYrEY8+bN43//93+Z\nNdstAKtUKsTj8T2xpxpWCR5aZtPKyH8u6uMc6XSNovBA/NXNvvnmmgx/PP9U0zb/8CbAGxSfXBnc\nF2hsbKwGE7wPiRqgWlDRNPLWgeUv27YdFCX9rsWyLGbNmsWxxx5LoVDgxRdfPOAATCcGVrkINpRS\n+84M+X2JKIp0dnZy/vnns3TpUhRFQdO0PUC76iVkue61tBrBqeiBwj0QqVQq+2xbEARKpRIPP/xw\nQGataRrZbJbp06fzwQ9+kJaWln2Sae9PDMNgxYoVrFu3jtkLFx7UsbIss3HjxoM+5x9aHMdhaGgo\nIFYZGRn5C6H3YSCHlUX/eiQcDtPV1cWyy45n9+7d9Pf3u0Ga8L7TyxQLZNu1hCerJTiAbDTbthke\nHj5EPd+3VCoV3vWud9GWaeE79/+QlStX0nXE4gM6tlUS2F6YBN1AzBweBVSiKHLEEUdw8skns2PH\nDr73ve9RKpWQU3snj5BtdzLOROPYpSrFYpGOA4TLKBQLtLa07vX3crnMN7/5TaLToliWFSijN7/5\nzdx8881EIhE0TaMlUbO6Dzb4568AIkqYyeHhg8qU2LRpU2Ap/zGJbdts3rwZURQ5+eSTeWXdBqZP\nn37Ii6b+Igcnh5VFXytDb3RPWI6A5QjYiMGG7UbURCSyYxM885unybSmSbekiMZrWrtcLrs4JI6N\n5NiItoVgWWTRKVg6nckMvUSxhEEsp4hlRDAMjUyHTsyyULAYL2cZswqo4RAnvflkWtvbMCwTrVIl\nlUgiOG5MMhKJUKlU9rgOx3FqpMNevx0LHMtz3VhWgLHt6CKaJTJm21x87Ud5dtcmzrnibzn17BVI\ngkjaCVGyLfIxBUuVSVoKEbmHct4A2aGtPcxawhyx/C1gFul/7nE3UOhYGNUqtmVgqBUM2Wb9ll1s\n2j7JnCPauPySdxEqVDhCiBIKhRBFEV3Xg2WzJLmbLIvIsogkykiijChIiIKELCvIsoIoSoiiRMpS\nkTUHZIUJxwQ1xNqNr/HWM9/O4Ng477r8PbR2dBIrOaSEMIPVIoptI9s2iuOgANUqqJl2XsvlkBfN\npTMeZmdxkMmYjijqVCoVOpQYSQ1sEYYS8GrfdpxQmGVvOpnJqoaqCKiKgICJgMmO8iAP//Yx7nzg\nW9itEqpgY1aKRGSByy95J//6yRsJywKpWJh0PIIkEWyRiEokouI4No5jo2lVNK3qRncFAdOyMC0r\nuOemaWKaJvlKDjEiYSsOtuKAKgabjomOSSQWJhILMzI2zKYtr6FVDUzDI6megqhakaSGTdO0/eLq\nC82bd29r75mJ5Zg4gj31BsHmXzOyArKCJYhEEknC6Rbap89EEyQimVbaO7vRDIt8sYwjSMHzPhXU\ngO+yk0SQRJAlAVkSkCSpMbVTkglJMpIDkuOC3tVv/vtY/93edI3/Xvqfm8ekrndN2x9W9t7PqeWP\n3qKvVqsMDQ0xMjJGa2srLS0tnv9v3zcjPn86cbtES1sbQiZDeXzE9d+Xy5BKNewbDocpFos899xz\nLFu2jMsuuwwAW4nx8ssv8+ijjx7y60okEqRSKZ577jkWzF/K4sWLWbtmK8oUK4+qWoJQGVIWJ55x\nHOqs01CiUVi7k8SGrRT3AQ76mc98huee/AZnvfMCLrj8AsbHy1x/25cpTIwzkT90q5cJs4qUjpOe\n3s3avs2c2J4hHA7v071Skot0dHRw3uV/4wKGVcsMD2YJmTQDcAby4osv0tvby4UXXsj8+fOJJN3i\nsfvuuw+ABx54gLGxsaDYaceOHfT09HDXXXd5bqHfL6GFTyie81KGBwcH3TzzfYzLVBKLxQ55GuPr\nEUmS6OjoYGxsjO7ubmbNmsVzzz1HV1fXH7prf9Zy2Cj6+tm9+eWvD2A2W/yFQgFZduEDJiYm6O3t\nJR6Pk8+VplwdSJLEwMAA3VWZGYlW0BzGNu8g27/JLcdXFPS6fSVJwrJ0dMdi1apVrF+/nmXLlgGg\nxFvYsGED0airTAKrfYpr2hdwlyiK3gztnvMnP/kJa9euJRwOs3LlSqKRFkZ2591gX0whGpUarq1d\nKzO6aSOvZEuEDYXKM2NYAlgb+llQUpkMm0SjqYCsuT4gpus68xafz7x580gmkwwNDTFZAcmxguKv\nqayv/ZGXiJJ7XZVKhVgsxufvvB1BEBgsTvDfD9zHEy89F0yg7hhbwXjruk7RLlLZtJ4dm9YHQFS/\nfnYtQjREBDcHP5/PE4s1zmIDAwN8+ctfZunSpSxcuJDR0dEGd5vjOLS2ui6dXC7Heeeey0c/+lEM\nw0BVVVKJeNP17Vkk5AfyDMOgWCwiyzKRSATDMDAMYw8gOp+M3TQ9KsFwmO3btzM6Olqr5PbOV1+E\nta/nxpegahvJBTtrKPuf+t40S5Ayu7/gbZ00wyjUBzslSSKZTDIxMYHsCEybNi3oazMUgSDuOaE1\nX7uqqqiqWitmaoKHcNj/s+kbBntLJvDlcC+Yer1y2Cj61yu//OUvvRdIYu3atQwMDLgFVVOZvrgr\nAH1sDGOrG1S1LMu9sYkpd28Q0zQZGBhgbMzFlinorrvmUPof8/k8r776Khs2bEBRFFKpFPfddx96\nVaSjbTawZ6A5Pllk2BpgaNsIYUNlBpALQZsUQjL2H5hOt7Wya/cQ8tiop6RqWUp+Ob1lvD7SCEVR\nQJV46jfPBgpAcGy27dyBOZ7HsqxgomyWkZfWATXEwc5wgklTQ9+HsStJEpFIhDVr1rB69WqUqJth\n0wz9m81mOeOMM7jiiisYGho6KDC4euJry7IOmNbOp9x7/vnniUajpNPpQ5bH3dHRgaiqOIcJxV46\nnXZXK14u/O8TluEvsqccNoq+3ufkWB54lQ+TKnmATbpGPKmgGXkEw02v8iiGSaQgqkax9QrJaIiq\nXEaxwKmaVCZc36lgQXc8Dhp4uGSIoqsAJhUFXfXa0x16KiFiqQ7sHbsRihYhQEhHianhIJdwRosB\nWExMDLD8+OOJpjxgLK+wvgGMzSMzISAz8awRNQQ4TGuVyWazjE/IXr8kwKE8bhBCpiOVAm0SU48Q\nFSXkSYtKMsZquUiL0g5ViAkCCDASckdlIiQz0SMxJHRQIklFTKKTp9NxJ6ZS0Q6sTDMAACAASURB\nVMMBiocAmVKuBJiEdBfTZdmyZXQkOhkfLhOLNRGMS00FVN6YWD7cclWnI+auIqhCNNzj7lCpWVGV\nojtOZSpYZZtCJM9ItJNEtkpSg2LUB+NyG99iuRNsVI2SAGwphWSrJGwD1TRI2mA4KUwNwkoSSZIw\nnF2ElTocoEkbwzD44DvezZFHHoleLZFOxgkpIiFFDLCFLI/S0TT3XJX5+6ghGbUOw8ePB/kKLViZ\nim5K6+hYlmw2S8KrqLawArJ4wWwmh/GJcvy0ysb0SsHz2+uGQSwWo72zDdvUaHRHN5n0TSmGAcx2\nAM/hAX7ZjfsJU0CAN6cn+m3Lsgtx4E+uE7lxYok4pVKJUqVMItzSsP9U5OuBte9duyTZSJJELBYj\nn89jmCaGadauZ4/OTeGTbyYD30cBlW3bU8RFDpPCqtdJPHLYKPoDER/6NB6PE4k0+iOdJt9qNB1F\nqUuJVaa50AIV/+GWGrHMY/FksK+qqphKnLYOjeNPXBw8gHLInRR8opRY1D22ra2NOXPmvKFru+SS\nS1BVFUf0c7U9zJhIIwRCKt2KnhujJDq0LzqKs2fNpFoNN+yjqO4LEvIUzhIjhyaGqYZDnPFXxzF7\n4ecbzuFDUfqfo4rrO549u5vh4RzywUGmACCrBv/3U/8U5IUbSq0RH45XK+WC8yqKAqHdvOXc/0O0\nahMxYatVqzUAqOKCt/kWvhRuI9aS4qKLLkKTXFCzbM5tu6+vjxdeeIFIU3zi+OOP55RTTgnwiX4f\noigKw8PD9Pf3u9caPjj/+74kkUjsdUV0OEkymaRcLpPI/KWA6g8hh4Widxz3ZQ7IE3yKvibig1wu\nR1tbG2eddRai0kggIAmNit8MmygWRHQHwzDIHOn61YM8bLPReojItZdFlmUG8yaLl8xs2CeWjDX0\ny9Iai1x8F47vJlDq/I/NJBl+P/wVxdFHH+1eu2w2tCk1kSrICAgtbahhhbJjISTSlLVGDBhZdC1G\nw5uQrIqCg4QlmIxnd9Da3tbQpu4p3lDIO6etE46FyJeyOGLZGwN3fPwUw/2BQxnGGB1d0SD3Xa6z\nkJyYlyLpxbx9xa2bSeSeJFXNQAMSjtTwu2J3e217964iYloWRx99dKDoS3qRxx9/nJfW/JpILBT0\nL5fL8bd/+7ccN8tNUdU0LSDXDoVCe2R2THV9ATl5Xfl5JBJB1wpBP03T3MMyLU5MsG3btn26LkKh\nEO3t7cE5du8eDOIj9f2p+ca9VVGlQkdHx0GDXDVf275+by4yqpdmMDtbsEkkEpTLZcrlcsOxqqru\nUZA0Vb+b25QFd5Xg36uSvu+ipn212XxfgzGwa/u9nrE83OWwUPSaVnWrWYNlabOibwxuAej2WEMb\nEo05076iz4ghQhaMSR7Kn6eIwh6Fj/8yhrRa276SrVBq2McWGvsVVdob+iV7hVf7UvSyp9h9a1IU\n4w2/20qpoQ+S108f6jXk2NiIqLEEjiBjCQJqaUdjPwRXkfuKZVyzELGQHBPRsZBSbgZEgKZYcXPI\n/ZWKZNcsXT8rJK66lpjPDLRfRW+5/Z09ezbvfve7kSu1orTay+V+J3gooCUhhCaBhoglQEfZhTAw\nPex1UXPdP7KnSHX2hL/98u2fZ3h4mOkze9m+fTuRsLtSu+6669zCuvzhWfnY1dVFur0dwxvfaDTM\n4OBgMP5/kb/IG5HDQtE7jo1t1arnZNN9gQWfMLvpL4CiVykUCkFKmWmWvb+ef1yU0IFxH1Ig4lq5\nil9i7pMxeNaZVbeaDsiTfbJifF+gt5P3fdUjsQiyMDzfoI5PclIP2ehdm8fILIZ862jSO5enpL1b\nYliG14ardOWYXx7untsQTHyQXS3W0dBG1YeHEDxFGhGxEXA8wm7TKNAgqreKCAluLn9d9oUdd/uZ\ns7xj/KC10Ojz9E2iwIIz3In3tf4RdDmGodZWYIFf1rufloe175g6Ih4ePjAecYHq/HuqCq7it1R3\n/8lyGVEUicoySVnmi1/8IuVCnkQ0QimfI6zIJAW48sorXfeGrmF5/jxVFbDlKmpERbd0FEHBFmxM\n6mMk4Eh1KxGvv4bjZcZ4/ntbCrnZQ+E4mg0TJRdO2zJMJElicPcoohyiUKoSjUYp5crEYjFCoRDR\naJTZs2e7bmXLCcjtZSWCptvY3qrGMn3L3u2L7D2KnZ2dpDs6wLeU6xMD/HvjGRXBStkzHhyv/ssn\n6lZUb8URIKU2wgKUqrWCsaQHQaBVvInIGydJcM+vF4rolk01oJAUyBdLRL1K7QA2oi5G7j8XNSPI\nWzmbGhFVwdI1MskEmlWlWikheM+cnycfWOl7ybCZ6rtalpj72TQtHKYyBppXM4enwbA3OSwU/euR\nSCQScFgCTE7+8UO9/qHF8twga9eufeONiVrtr6iBWO9q8/PjvO8E76UR9Ma/Plq84Ll2vHfNc90T\nb8uQzWb5zVNP8/3vf5958+YFZ+jbtYMTlh3H373r8t85nK1PVu0rqkQyhmmayLLM7t272bBhQ4BD\nY9s2slxTGkfMnw/hMHgJCKo3mZTzeWzbDvzv5bL7fKe8Go+yZ+lHo1H3+IBopS5W5Ss1b4Upeore\n8KqAFS9uEvAVewo2QN+0/UnR3a/e0NK8MfW/81ecPmfv+Pi4hytVmyyq1WpwL3Rd91aQf1wK849V\nDkjRC4KwHSjg3hXTcZzjBUFoAX4AzAK2Axc7jjPh7X8D8H5v/2scx/nZwXRqYmIiCLz6n712g33i\nrZkAUKlYLBIKhSgUCoHbxLRrJA8Auu0HN73UuJBHuxcKoaoqldKeE4XjOFSrVaZNm0ahUMCwzCAd\n0zRNJLUxhiA0WRYNriZdD9h2IpEabKsoioF1E41GMTVzj2MPViKRiBv4SiQQBIFCwVVCfq54yIOH\n8PPjDdN0/xpGkBYXj8drFpVlEQ6FEASBYrHowg1nXJeI748ulQpIXoVmOp2mUnQzd8ayu/nZ4z9E\nrste8Vdh5aKrHAKi9CZFU642urEcL2XWd2fsGN7tgojJAuddfgkACzw3UCqVorOzM8AmauZj9a3G\nXU+4qJb+c2NYOtFoNLj2Yr6GbeSvLPKFSkMbvgT+Z2+147cp70HoXsvgKH71q961aw371MMWu0Bs\ncsM5fQjvenLzxnNA1bvmQsFdjYmK3HBMSPRITLzx9xm0/N+jcfc+zZ071/0+pFKtulAUiqIwOTmJ\nJDU+84VJ91z+5OBn7PhuQdFbVcqyzCc+8QnKpRq3RBCraXoOLM8g8OMo8XgcwzBq19pkuL8e2Ig/\nNqiJg+3vwVj0pzuOU+8Yvx74heM4nxUE4Xrv8ycEQTgSl0R8MdAD/FwQhPnOAfDG+gQM9Up+qt8B\nhvQqsViMSCTiVVh62OAHCaB03XXXccMNN5CM71lVqKoqH/nIR/ja176GoigIgsD73vc+fvSjHxGJ\nRMhPHjjAmaIoXHPNNdx8880N3xcKBS655BIefPBB8vk80dAbz6CYmJhg/vz5nHvuuXR2dvLII4+y\ndu3aoGDq5OWn0dnZyYwZM3jiiSdYveZ5BEHgvPPOo729HVmW+fWvf43jOJxzzjnMnz+f7MgkP/7x\nj4lGo8yaNYvT/+o0AH76058CLlLi9u3bmTdvHn19fQwNbwMgO5FlfGIXVql2XwJF7ykgX9Fk0slg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EZqmUxRaNRKt57rmka4XCYcnkSVVWD+2FbriW+c+dONNklBw+rrs+9u7ubnp4e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\ndXXhww8/lOnsZsyYgaysLHR3d/c6yZKfn4+xY8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MMXdHr0KFDxxkOXdHr0KFDxxkOXdHr\n0KFDxxkOXdHr0KFDxxkOXdHr0KFDxxkOXdHr0KFDxxkOXdHr0KFDxxmO/w89qdFqJu5pWwAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f87f02aaa50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx = \n",
    "\n",
    "dir_name = '/Data/nruiz9/data/facial_landmarks/LS3D-W/300VW-3D/Trainset/001'\n",
    "img_path = os.path.join(dir_name, sorted(os.listdir(dir_name))[idx].split('.')[0] + '.jpg')\n",
    "print img_path\n",
    "img_name = img_path.split('.')[0]\n",
    "\n",
    "img = cv2.imread(img_path)\n",
    "\n",
    "annot = load_lua(img_name + '.t7')\n",
    "\n",
    "# yaw = float(annot[1]) * 180 / np.pi\n",
    "# pitch = float(annot[2]) * 180 / np.pi\n",
    "# roll = float(annot[3]) * 180 / np.pi\n",
    "# if yaw < 0:\n",
    "#     roll *= -1\n",
    "\n",
    "# utils.plot_pose_cube(img, yaw, pitch, roll)\n",
    "\n",
    "img = cv2.cvtColor(img, cv2.COLOR_RGB2BGR)\n",
    "\n",
    "plt.imshow(img)\n",
    "plt.show()\n",
    "# print 'yaw, pitch, roll: ', yaw, pitch, roll"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
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