natanielruiz
2017-09-26 b74b9c54247177c82493f180617d7551de8e2bb1
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 34,
   "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": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TRAIN_DATA_DIR = '/Data/nruiz9/data/facial_landmarks/AFLW/aflw_cropped/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Av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\n02mbtPUtvSYyWumAyxWtZIwAgff6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GwEACwsHYgoJQBED92J/sfJ/ZvMMil6972rZcn1C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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5d38058910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yaw, pitch, roll:  -30.7471927942 -15.5284828894 -39.0930077712\n"
     ]
    }
   ],
   "source": [
    "img_name = '/Data/nruiz9/data/facial_landmarks/AFLW/aflw_cropped/3/image19788'\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",
    "roll = -roll\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": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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MN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IdAGXTTJXG3akRjKHJywjDWkmR6kzBUulPlaCiMYXVVNz/wK5dvTCsgNWdPJ9FagghVSW4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\n2okpnNqpndqinZjCqZ3aqS3a/wNJ1YqyCMiGGQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5d3371c8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yaw, pitch, roll:  80.6477250021 -2.70457134999 0.534743034\n"
     ]
    }
   ],
   "source": [
    "from PIL import Image\n",
    "from PIL import ImageFilter\n",
    "\n",
    "img_name = '/Data/nruiz9/data/facial_landmarks/AFLW/aflw_cropped/2/image12234'\n",
    "img_path = os.path.join(img_name + '.jpg')\n",
    "\n",
    "img = Image.open(img_path)\n",
    "img = img.filter(ImageFilter.BLUR)\n",
    "\n",
    "img = img.rotate(-4)\n",
    "\n",
    "plt.imshow(img)\n",
    "plt.show()\n",
    "print 'yaw, pitch, roll: ', yaw, pitch, roll"
   ]
  },
  {
   "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"
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 "nbformat_minor": 1
}