example_code.ipynb

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   "cell_type": "code",
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   "metadata": {},
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    {
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       "   Timestamp [ms]        X [mm]        Y [mm]   Z [mm]  Heading [degrees]  \\\n",
       "0        2.129512  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "1      202.246529  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
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       "4      802.647239  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "\n",
       "   Pitch [degrees]  Roll [degrees]    Filename  GPS quality UTM zone  \n",
       "0           -1.625             7.0  image0.jpg            4      30U  \n",
       "1           -1.625             7.0  image1.jpg            4      30U  \n",
       "2           -1.625             7.0  image2.jpg            4      30U  \n",
       "3           -1.625             7.0  image3.jpg            4      30U  \n",
       "4           -1.625             7.0  image4.jpg            4      30U  "
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     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "DATABASE_PATH = '2020-11-04/unwrapped_dataset1'\n",
    "\n",
    "# Make a new DataFrame\n",
    "df = pd.read_csv(DATABASE_PATH + '/database_entries.csv')\n",
    "\n",
    "# Strip trailing whitespace from column names\n",
    "df = df.rename(columns=lambda x: x.strip())\n",
    "\n",
    "# Show the first few entries...\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# The coordinates are in millimetres (don't ask why); convert to metres\n",
    "x = df['X [mm]'] / 1000\n",
    "y = df['Y [mm]'] / 1000\n",
    "\n",
    "# As these coordinates are UTM, the x and y values are huge. Renormalise so the axes start from (0, 0)\n",
    "x -= np.min(x)\n",
    "y -= np.min(y)\n",
    "\n",
    "# Plot the coordinates\n",
    "plt.plot(x, y)\n",
    "plt.xlabel('$x$ (m)')\n",
    "plt.ylabel('$y$ (m)')\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Loading 2020-11-04/unwrapped_dataset1/image0.jpg\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import cv2\n",
    "\n",
    "impath = DATABASE_PATH + '/' + df['Filename'][0]\n",
    "print('Loading ' + impath)\n",
    "\n",
    "# Read in image file\n",
    "im = cv2.imread(impath, cv2.IMREAD_GRAYSCALE)\n",
    "\n",
    "# Check it actually loaded successfully\n",
    "assert im is not None\n",
    "\n",
    "# Display image\n",
    "plt.imshow(im, cmap='gray');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 392.14375 262.19625\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-08-04T18:05:16.327663</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def meanAbsDiff(im1, im2):\n",
    "    # We're assuming that these images are bytes (i.e. max value is 255)\n",
    "    assert im.dtype == 'uint8'\n",
    "\n",
    "    diffIm = cv2.absdiff(im1, im2)\n",
    "    return np.mean(diffIm) / 255.0\n",
    "\n",
    "def calculateRIDF(im1, im2):\n",
    "    diffs = []\n",
    "    for i in range(im.shape[1]):\n",
    "        # Rotate image to the right by i pixels\n",
    "        rotIm = np.roll(im, i, axis=1)\n",
    "\n",
    "        # Save the difference between initial image and rotated version\n",
    "        diffs.append(meanAbsDiff(im, rotIm))\n",
    "    \n",
    "    # Return as a numpy array because they're easier to work with\n",
    "    return np.array(diffs)\n",
    "\n",
    "# Compute an auto-RIDF, i.e. comparing im vs itself\n",
    "ridf = calculateRIDF(im, im)\n",
    "\n",
    "plt.xlabel('Rotation (px)')\n",
    "plt.ylabel('Mean image difference')\n",
    "plt.plot(ridf);"
   ]
  }
 ]
}