natanielruiz
2017-09-19 e624d2ace8296e130a4fa4d2d307041798c538e0
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "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": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TRAIN_DATA_DIR = '/Data/nruiz9/data/facial_landmarks'\n",
    "AFLW = os.path.join(TRAIN_DATA_DIR, 'AFLW2000')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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 0x7f2bd8a38590>"
      ]
     },
     "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": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.2248862236738205, 0.002951401984319091, -0.06389492750167847, 224.56297302246094, 235.01658630371094, -113.41862487792969, 0.0016186352586373687]\n",
      "-0.224886 -0.0029514 -0.0638949\n",
      "((299.2562330725226, 150.77855990968209), (159.14065038944511, 305.947432087511), (149.12026336753766, 193.46575844844401), 149.56297302246094, 160.01658630371094)\n"
     ]
    },
    {
     "data": {
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Sm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NZwTaUlgLJgDhQ61xvfg/z4xN0NJCMdwpjYtRag1eV46ffqGxfw8cAOeKyBYqk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\nrGIQIzj8zOvTh/HOTRdyGUyCNQkWhy/a5LwBYJ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9f1807a210>"
      ]
     },
     "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 = 'image01224'\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": []
  }
 ],
 "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
}