natanielruiz
2017-09-27 0be0ecf0a8fc6df1f9e354f8aea12b7008f658f1
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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",
    "import h5py\n",
    "\n",
    "utils = imp.load_source('utils', '../code/utils.py')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "DATA_DIR = '/Data/nruiz9/data/facial_landmarks/AFW/testimages/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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gxZB0KDdDeg1NZ5t8Ku/+j5mHIto0KFLguNE9BJFioEnBEkQUp6EuWPjpKGFl5Hc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M7cPg6S5QCpQyWnthIYqqQucBbT+wiQQxEWGuHgM2wXBuNWW86GutR1tLUNRZHKnK8k3jf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\nPOP4TygaEPclNuIsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdc12524d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yaw, pitch, roll:  60.0 0.0 -0.0\n"
     ]
    }
   ],
   "source": [
    "idx = 7\n",
    "\n",
    "mat_path = '/Data/nruiz9/data/facial_landmarks/AFW/testimages/anno_compat.mat'\n",
    "mat = sio.loadmat(mat_path)\n",
    "mat = mat['S'][0][0][0]\n",
    "\n",
    "stats = mat[idx,:]\n",
    "img_name = stats[0][0]\n",
    "\n",
    "img_path = os.path.join(DATA_DIR, img_name)\n",
    "                   \n",
    "img = cv2.imread(img_path)\n",
    "\n",
    "bbox = stats[1][0][0]\n",
    "x1, y1 = bbox[0]\n",
    "x2, y2 = bbox[1]\n",
    "\n",
    "k = 0.25\n",
    "x1 -= 0.6 * k * abs(x2 - x1)\n",
    "y1 -= 3 * k * abs(y2 - y1)\n",
    "x2 += 0.6 * k * abs(x2 - x1)\n",
    "y2 += 0.6 * k * abs(y2 - y1)\n",
    "\n",
    "yaw, pitch, roll = stats[2][0][0][0]\n",
    "\n",
    "yaw = float(yaw)\n",
    "pitch = float(pitch)\n",
    "roll = float(roll)\n",
    "\n",
    "yaw = -yaw\n",
    "roll = -roll\n",
    "# roll = .0\n",
    "# pitch = .0\n",
    "\n",
    "img = cv2.rectangle(img, (int(x1),int(y1)), (int(x2),int(y2)), (0,255,0), 3)\n",
    "utils.plot_pose_cube(img, yaw, pitch, roll, (x2+x1) / 2, (y2+y1) / 2, size=200)\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": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\n",
    "for idx in xrange(mat.shape[0]):\n",
    "    mat_path = '/Data/nruiz9/data/facial_landmarks/AFW/testimages/anno_compat.mat'\n",
    "    mat = sio.loadmat(mat_path)\n",
    "    mat = mat['S'][0][0][0]\n",
    "\n",
    "    stats = mat[idx,:]\n",
    "    img_name = stats[0][0]\n",
    "\n",
    "    img_path = os.path.join(DATA_DIR, img_name)\n",
    "\n",
    "    img = cv2.imread(img_path)\n",
    "    \n",
    "    bboxes = stats[1][0][:]\n",
    "    for idy, bbox in enumerate(bboxes):\n",
    "        txt_path = img_path.split('.')[0] + '_' + str(idy) + '.txt'\n",
    "        out = open(txt_path, 'wb')\n",
    "        x1, y1 = bbox[0]\n",
    "        x2, y2 = bbox[1]\n",
    "\n",
    "        yaw, pitch, roll = stats[2][0][idy][0]\n",
    "\n",
    "        yaw = float(yaw)\n",
    "        pitch = float(pitch)\n",
    "        roll = float(roll)\n",
    "\n",
    "        yaw = -yaw\n",
    "        roll = -roll\n",
    "\n",
    "        out.write(img_path + ' ' + str(yaw) + ' ' + str(pitch) + ' ' + str(roll) + ' ' + str(x1) + ' ' + str(y1) + ' ' + str(x2) + ' ' + str(y2) + '\\n')\n",
    "        out.close()"
   ]
  },
  {
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    "collapsed": true
   },
   "source": []
  }
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