dcsg_streets_to_edge.ipynb

{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# DCSG: convert OSM road data to street graph\n\nIn this notebook, road network segments taken from the OpenStreetMap (OSM) database are being converted to a simplified, abstract street graph that tries to *roughly* preserve both location and topology of the original dataset, while removing overlapping and parallel lines that are used to encode the geometry of broad multi-lane streets like highways.\n\n## Acknowledgments\n\nThis notebook uses the following external resources\n * OpenStreetMap data (license: [ODbL](http://opendatacommons.org/licenses/odbl/), [OSM copyright information](http://www.openstreetmap.org/copyright)) for the road network in Singapore. \n * I use the shapefile exports provided by [Metro Extracts](https://mapzen.com/data/metro-extracts/) on [Mapzen](https://mapzen.com/).\n * Package [GeoPandas](http://geopandas.org/) is used for file IO from/to shapefiles and for projecting between geographic `(longitude, latitude)` and projected `(x, y)` coordinates.\n * Package [Skeletron](https://github.com/migurski/Skeletron) implements the polygon skeletonization (based on [qhull](http://qhull.org/)) algorithm, which is **[the central idea behind this whole notebook](http://web.archive.org/web/20000830084655/http://www.esri.com/library/userconf/proc96/TO400/PAP370/P370.HTM)**: *Automated derivation of high accuracy road centrelines: Thiessen polygons technique* by A. Ladak and R. B. Martinez\n * Package [Shapely](https://toblerity.github.com/shapely/manual.html) provides geometric operations to implement several post-processing steps."
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "%matplotlib inline\nimport pandas as pd\nimport geopandas as gp\nimport pandashp\nimport shapelytools  # https://github.com/ojdo/python-tools\nimport skeletrontools  # https://github.com/ojdo/python-tools\nfrom shapely.geometry import MultiLineString",
   "execution_count": 7,
   "outputs": []
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Input"
  },
  {
   "metadata": {
    "collapsed": true,
    "trusted": true
   },
   "cell_type": "code",
   "source": "streets_filename = 'cbd_streets.shp'\nedge_filename = 'edge.shp'\nvertex_filename = 'vertex.shp'",
   "execution_count": 4,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "streets = gp.read_file(streets_filename)",
   "execution_count": 5,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "streets_projected = streets.to_crs(epsg=32648)  # UTM zone 48N\nstreets_projected.plot()",
   "execution_count": 6,
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x1d8f660278>"
     },
     "metadata": {},
     "execution_count": 6
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<matplotlib.figure.Figure at 0x1d8f64f240>",
      "image/png": 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kthqNlpEjDzJjRrP0Z1L1pCjKi9lZY2MDfpW6DdBN921cpvcp4eHx2NrqkaQ+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\nwKmHTsHse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dfy1ppVaWjjSVLp0RzaOZ//zZlDKacl1KixnvbtS/H7702yNbwSNT8TzhSV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\nZw51CytfQ2pCYgrs/Rdmn4D1F2B9h6xnbIM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     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "len(streets_projected)",
   "execution_count": 17,
   "outputs": [
    {
     "data": {
      "text/plain": "538"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "The input dataset consists of 538 road line segments. Highways often consist of two or more parallel lines."
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Skeletonization"
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "skeletron_options = dict(buffer_length=30, dissolve_length=5, simplify_length=15, buffer_resolution=4, psg_length=150)\nskeleton = skeletrontools.skeletonize(streets_projected, **skeletron_options)\nskeleton",
   "execution_count": 31,
   "outputs": [
    {
     "data": {
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      "text/plain": "<shapely.geometry.multilinestring.MultiLineString at 0xad14612cf8>"
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "len(skeleton)",
   "execution_count": 32,
   "outputs": [
    {
     "data": {
      "text/plain": "596"
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "The `skeleton` does not have parallel line segments, but conists of numerous stumps and is not fully connected. Post-processing should reducing dangling lines and restore connectivity (especially between the northern and southern half of the network)."
  },
  {
   "metadata": {
    "collapsed": true,
    "trusted": true
   },
   "cell_type": "markdown",
   "source": "## Post-processing"
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "opi = shapelytools.one_linestring_per_intersection(skeleton)\nopi = shapelytools.snappy_endings(opi, max_distance=150)\nopi = shapelytools.one_linestring_per_intersection(opi)\nopi = shapelytools.prune_short_lines(opi, min_length=55)\nlen(opi)",
   "execution_count": 33,
   "outputs": [
    {
     "data": {
      "text/plain": "400"
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Having merged several lines and removed short (less than 55 metres) remaining segments, the resulting **graph** consists of only 400 segments, while still exhibiting the same overall structure as the original road network:"
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "MultiLineString(opi)",
   "execution_count": 34,
   "outputs": [
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      "text/plain": "<shapely.geometry.multilinestring.MultiLineString at 0xad16f37dd8>"
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Output"
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "# convert back to GeoPandas\nedge = gp.GeoDataFrame(geometry=opi, crs=streets_projected.crs)\nedge = edge.to_crs(epsg=4326)  # World Geodetic System (WGS84) \nedge['Edge'] = edge.index  # add running ID to attribute table",
   "execution_count": null,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "edge.head()",
   "execution_count": 39,
   "outputs": [
    {
     "data": {
      "text/html": "<div>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>geometry</th>\n      <th>Edge</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>LINESTRING (103.8310581811456 1.30416260494597...</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>LINESTRING (103.8321964201075 1.30303513680111...</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>LINESTRING (103.8329480059289 1.30234609813927...</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>LINESTRING (103.8334708399002 1.30291687359834...</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>LINESTRING (103.8336878706803 1.30596955700168...</td>\n      <td>4</td>\n    </tr>\n  </tbody>\n</table>\n</div>",
      "text/plain": "                                            geometry  Edge\n0  LINESTRING (103.8310581811456 1.30416260494597...     0\n1  LINESTRING (103.8321964201075 1.30303513680111...     1\n2  LINESTRING (103.8329480059289 1.30234609813927...     2\n3  LINESTRING (103.8334708399002 1.30291687359834...     3\n4  LINESTRING (103.8336878706803 1.30596955700168...     4"
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  },
  {
   "metadata": {
    "collapsed": true,
    "trusted": true
   },
   "cell_type": "code",
   "source": "# derive vertex points\nvertices = shapelytools.endpoints_from_lines(edge.geometry)\nvertex = gp.GeoDataFrame(geometry=vertices, crs=edge.crs)\nvertex['Vertex'] = vertex.index\n\npandashp.match_vertices_and_edges(vertex, edge)\n\n# drop loops\nedge = edge[~(edge['Vertex1'] == edge['Vertex2'])]\n\n# if there are >1 edges that connect the same vertex pair, drop one of them\nedge = edge.drop_duplicates(subset=['Vertex1', 'Vertex2'])\n\n# write to file\nedge.to_file(edge_filename)\nvertex.to_file(vertex_filename)",
   "execution_count": 42,
   "outputs": []
  }
 ],
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