{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3e3f6082",
   "metadata": {},
   "source": [
    "# Simplify GPS tracks\n",
    "\n",
    "<br/>\n",
    "<div class=\"alert alert-block alert-warning\" style=\"padding:1em\">\n",
    "<b>Simplifaction:</b> this operation consists to reduce the number of observations in track (while preserving time stamps and other information) to make it less bulky or more readable on a graphic.</div>\n",
    "\n",
    "We present, on this web page, 2 simplification methods applying to a track: Douglas & Peucker algorithm and Visvalingram simplification algorithm.\n",
    "\n",
    "The process \"Track simplification\" generally returns a new simplified track. Tolerance is in the unit of track observation coordinates."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37a16ed6",
   "metadata": {},
   "source": [
    "## Let's start by defining our environment\n",
    "\n",
    "This task is only useful for the online notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4768010a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "\n",
    "# Import de tracklib\n",
    "module_path = os.path.abspath(os.path.join('../../..'))\n",
    "if module_path not in sys.path:\n",
    "    sys.path.append(module_path)\n",
    "    \n",
    "import tracklib as trk"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42393fbe",
   "metadata": {},
   "source": [
    "## Simplifaction with Douglas-Peucker method\n",
    "\n",
    "The Douglas-Peucker algorithm reduce the number of a line by reducing the number of points. \n",
    "The result should keep the original shape.\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Reference:</b><br/>David Douglas, Thomas Peucker: Algorithms for the\n",
    "        reduction of the number of points required to represent a digitized\n",
    "        line or its caricature. In Cartographica: The International Journal\n",
    "        for Geographic Information and Geovisualization.\n",
    "        Volume 10, Issue 2, Pages 112–122, 1973, <a href='https://utpjournals.press/doi/10.3138/FM57-6770-U75U-7727'>https://utpjournals.press/doi/10.3138/FM57-6770-U75U-7727</a></div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a3a56cdc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x79c1742caf20>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460.8x345.6 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Loading the geometry\n",
    "chemin = '../../../data/lacet/ecrins.csv'\n",
    "param = trk.TrackFormat({'ext': 'WKT', \n",
    "                        'id_wkt': 0, \n",
    "                        'separator': ',', \n",
    "                        'srid': 'ENU',\n",
    "                        'doublequote': True,\n",
    "                         'header': 1,\n",
    "                         'id_user': 1,\n",
    "                         'id_track': 2\n",
    "}) \n",
    "tracks = trk.TrackReader.readFromFile(chemin, param)\n",
    "trace = tracks[\"903959\",\"%\"][0]\n",
    "trace = trace.extract(70,120)\n",
    "\n",
    "# Simplification with Douglas-Peucker\n",
    "tolerance = 25\n",
    "trace2 = trk.simplify(trace, tolerance, trk.MODE_SIMPLIFY_DOUGLAS_PEUCKER)\n",
    "trace.plot(append = False, sym='g-')\n",
    "trace2.plot(append = True, sym='b-')\n",
    "\n",
    "plt.legend([\"original track\", \"simplify:Douglas-Peucker\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ca6a6da",
   "metadata": {},
   "source": [
    "## Simplification with Visvalingram method\n",
    "\n",
    "The Visvalingram algorithm simplify the geometry of the track by reducing\n",
    "the number of points but the result presents less angular results than\n",
    "the Douglas-Peucker algorithm.\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Reference:</b><br/>M. Visvalingam & J. D. Whyatt (1993) Line generalisation by repeated elimination of points, \n",
    "    The Cartographic Journal, 30:1, 46-51, DOI:\n",
    "    <a href='https://doi.org/10.1179/000870493786962263'>10.1179/000870493786962263</a></div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "64fee46c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x79c1741cc0a0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460.8x345.6 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Loading the geometry\n",
    "chemin = '../../../data/lacet/ecrins.csv'\n",
    "param = trk.TrackFormat({'ext': 'WKT', \n",
    "                        'id_wkt': 0, \n",
    "                        'separator': ',', \n",
    "                        'srid': 'ENU',\n",
    "                        'doublequote': True,\n",
    "                         'header': 1,\n",
    "                         'id_user': 1,\n",
    "                         'id_track': 1\n",
    "}) \n",
    "tracks = trk.TrackReader.readFromFile(chemin, param)\n",
    "trace = tracks[\"903959\",\"%\"][0]\n",
    "trace = trace.extract(70,120)\n",
    "\n",
    "# Simplification with Visvalingram\n",
    "tolerance = 50\n",
    "trace3 = trk.simplify(trace, tolerance, trk.MODE_SIMPLIFY_VISVALINGAM)\n",
    "trace.plot(append = False, sym='g-')\n",
    "trace3.plot(append = True, sym='b-')\n",
    "plt.legend(['original track', 'simplify:visvalingam'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b764a0e",
   "metadata": {},
   "source": [
    "## Graphical Abstract"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e8f2e6b3",
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "\n",
    "ax1 = plt.subplot2grid((1, 2), (0, 0), colspan=1)\n",
    "trace.plot(sym='g-', append=ax1)\n",
    "trace2.plot(sym='b-', append=ax1)\n",
    "ax1.set_title('Douglas-Peucker')\n",
    "ax1.set_xticks([])\n",
    "ax1.set_yticks([])\n",
    "\n",
    "ax2 = plt.subplot2grid((1, 2), (0, 1), colspan=1)\n",
    "trace.plot(sym='g-', append=ax2)\n",
    "trace3.plot(sym='b-', append=ax2)\n",
    "ax2.set_title('Visvalingam')\n",
    "ax2.set_xticks([])\n",
    "ax2.set_yticks([])"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Tags",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
