Omg
natanielruiz
2017-09-07 6dd2ff502947ec809d420e2baefa023d821a8bb1
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "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": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TRAIN_DATA_DIR = '/Data/nruiz9/data/facial_landmarks/AFLW/aflw_cropped/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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1JjEKcdtY13vyOIuQKQ6SxSUGYJfTbBtCwVTexkALwo7cyL6VBf0mzp3I305SwVUnBeybCu1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EYeGrRGnjbuhqXx2ZeuhGr9gt+SZaK7+uGrse8ib3LMGJKzIFwLtQ3VA3Gm3eYeudBG+6/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\nn4LkSxnB8bH7T0PEKm5sTNNsoJ0RMIZ5Dw4husZmPaoY9Zufl8NufP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5f6036e250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yaw, pitch, roll:  -5.09618855486 -4.41143007405 29.1049386951\n"
     ]
    }
   ],
   "source": [
    "img_name = '/Data/nruiz9/data/facial_landmarks/AFLW/aflw_cropped/0/image20889'\n",
    "img_path = os.path.join(img_name + '.jpg')\n",
    "\n",
    "img = cv2.imread(img_path)\n",
    "\n",
    "annot_file = open(img_name + '.txt')\n",
    "annot = annot_file.readline().strip('\\n').split(' ')\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": {
   "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
}