├── .gitignore ├── LICENSE ├── README.md ├── austria.png ├── index.html ├── index.js ├── italy.png ├── leaflet-hash.js ├── map.js ├── package.json ├── plot.gp ├── thumb.png └── tiles ├── 0 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 1 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 2 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 3 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 4 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 5 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 6 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 7 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 8 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 9 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 10 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 11 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 12 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 13 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png ├── 14 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png └── 15 ├── 0.png ├── 1.png ├── 10.png ├── 11.png ├── 12.png ├── 13.png ├── 14.png ├── 15.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png ├── 7.png ├── 8.png └── 9.png /.gitignore: -------------------------------------------------------------------------------- 1 | world.txt 2 | world.png 3 | data 4 | data/* 5 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | Copyright (c) 2016, Martin Raifer 2 | 3 | Permission to use, copy, modify, and/or distribute this software for any 4 | purpose with or without fee is hereby granted, provided that the above 5 | copyright notice and this permission notice appear in all copies. 6 | 7 | THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 8 | WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 9 | MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 10 | ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 11 | WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 12 | ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 13 | OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 14 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | tortuOSMity 2 | =========== 3 | 4 | Calculates road-curviness from OpenStreetMap data using [osm-qa-tiles](http://osmlab.github.io/osm-qa-tiles/) and [tile-reduce](https://github.com/mapbox/tile-reduce). 5 | 6 | Here, the curviness is defined as the average quotient between road length and end-to-end beeline distance of each osm way tagged as a highway (primary, …, residential) in each zoom-level 12 mercator tile. Each pixel in the output corresponds to one of these tiles and is colored according from violet (where the length quotient is near 1 which means almost straight roads) to red (quotient >= 2). 7 | 8 | how to 9 | ------ 10 | 11 | $ npm install 12 | 13 | $ node index.js "path to planet.mbtiles" > world.txt 14 | $ gnuplot plot.gp 15 | $ cd tiles 16 | $ for i in {0..15}; do mkdir $i; done 17 | $ convert ../world.png -crop 256x256 -set filename:tile "%[fx:page.x/256]/%[fx:page.y/256]" +repage +adjoin "%[filename:tile].png" 18 | $ find -type f | parallel optipng 19 | 20 | result 21 | ------ 22 | 23 | [![](https://raw.githubusercontent.com/tyrasd/tortuosmity/gh-pages/thumb.png)](https://tyrasd.github.io/tortuosmity/) 24 | 25 | [(click for world map)](https://tyrasd.github.io/tortuosmity/) 26 | 27 | see also 28 | -------- 29 | 30 | * https://github.com/rory/openstreetmap-bendy-roads 31 | * https://github.com/adamfranco/curvature 32 | -------------------------------------------------------------------------------- /austria.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tyrasd/tortuosmity/1d3197f7acdc21c27ffa22b6ccfe9c4e8f5c91af/austria.png -------------------------------------------------------------------------------- /index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | tortuOSMity 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
15 | 16 | 38 | 39 | 40 | 41 | -------------------------------------------------------------------------------- /index.js: -------------------------------------------------------------------------------- 1 | var tilereduce = require('tile-reduce'), 2 | path = require('path'), 3 | turf = require('turf') 4 | 5 | var opts = { 6 | zoom: 12, 7 | sources: [{ 8 | name: 'osm', 9 | mbtiles: path.join(__dirname, process.argv[2]), 10 | raw: true 11 | }], 12 | map: __dirname+'/map.js' 13 | } 14 | 15 | var tilereduce = tilereduce(opts) 16 | .on('reduce', function(result, tile){ 17 | process.stdout.write(tile[0]+'\t'+tile[1]+'\t'+result+'\n') 18 | }) 19 | .on('end', function() { 20 | }) 21 | .on('error', function (error) { 22 | throw error; 23 | }) 24 | -------------------------------------------------------------------------------- /italy.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tyrasd/tortuosmity/1d3197f7acdc21c27ffa22b6ccfe9c4e8f5c91af/italy.png -------------------------------------------------------------------------------- /leaflet-hash.js: -------------------------------------------------------------------------------- 1 | (function(window) { 2 | var HAS_HASHCHANGE = (function() { 3 | var doc_mode = window.documentMode; 4 | return ('onhashchange' in window) && 5 | (doc_mode === undefined || doc_mode > 7); 6 | })(); 7 | 8 | L.Hash = function(map) { 9 | this.onHashChange = L.Util.bind(this.onHashChange, this); 10 | 11 | if (map) { 12 | this.init(map); 13 | } 14 | }; 15 | 16 | L.Hash.parseHash = function(hash) { 17 | if(hash.indexOf('#') === 0) { 18 | hash = hash.substr(1); 19 | } 20 | var args = hash.split("/"); 21 | if (args.length == 3) { 22 | var zoom = parseInt(args[0], 10), 23 | lat = parseFloat(args[1]), 24 | lon = parseFloat(args[2]); 25 | if (isNaN(zoom) || isNaN(lat) || isNaN(lon)) { 26 | return false; 27 | } else { 28 | return { 29 | center: new L.LatLng(lat, lon), 30 | zoom: zoom 31 | }; 32 | } 33 | } else { 34 | return false; 35 | } 36 | }; 37 | 38 | L.Hash.formatHash = function(map) { 39 | var center = map.getCenter(), 40 | zoom = map.getZoom(), 41 | precision = Math.max(0, Math.ceil(Math.log(zoom) / Math.LN2)); 42 | 43 | return "#" + [zoom, 44 | center.lat.toFixed(precision), 45 | center.lng.toFixed(precision) 46 | ].join("/"); 47 | }, 48 | 49 | L.Hash.prototype = { 50 | map: null, 51 | lastHash: null, 52 | 53 | parseHash: L.Hash.parseHash, 54 | formatHash: L.Hash.formatHash, 55 | 56 | init: function(map) { 57 | this.map = map; 58 | 59 | // reset the hash 60 | this.lastHash = null; 61 | this.onHashChange(); 62 | 63 | if (!this.isListening) { 64 | this.startListening(); 65 | } 66 | }, 67 | 68 | removeFrom: function(map) { 69 | if (this.changeTimeout) { 70 | clearTimeout(this.changeTimeout); 71 | } 72 | 73 | if (this.isListening) { 74 | this.stopListening(); 75 | } 76 | 77 | this.map = null; 78 | }, 79 | 80 | onMapMove: function() { 81 | // bail if we're moving the map (updating from a hash), 82 | // or if the map is not yet loaded 83 | 84 | if (this.movingMap || !this.map._loaded) { 85 | return false; 86 | } 87 | 88 | var hash = this.formatHash(this.map); 89 | if (this.lastHash != hash) { 90 | location.replace(hash); 91 | this.lastHash = hash; 92 | } 93 | }, 94 | 95 | movingMap: false, 96 | update: function() { 97 | var hash = location.hash; 98 | if (hash === this.lastHash) { 99 | return; 100 | } 101 | var parsed = this.parseHash(hash); 102 | if (parsed) { 103 | this.movingMap = true; 104 | 105 | this.map.setView(parsed.center, parsed.zoom); 106 | 107 | this.movingMap = false; 108 | } else { 109 | this.onMapMove(this.map); 110 | } 111 | }, 112 | 113 | // defer hash change updates every 100ms 114 | changeDefer: 100, 115 | changeTimeout: null, 116 | onHashChange: function() { 117 | // throttle calls to update() so that they only happen every 118 | // `changeDefer` ms 119 | if (!this.changeTimeout) { 120 | var that = this; 121 | this.changeTimeout = setTimeout(function() { 122 | that.update(); 123 | that.changeTimeout = null; 124 | }, this.changeDefer); 125 | } 126 | }, 127 | 128 | isListening: false, 129 | hashChangeInterval: null, 130 | startListening: function() { 131 | this.map.on("moveend", this.onMapMove, this); 132 | 133 | if (HAS_HASHCHANGE) { 134 | L.DomEvent.addListener(window, "hashchange", this.onHashChange); 135 | } else { 136 | clearInterval(this.hashChangeInterval); 137 | this.hashChangeInterval = setInterval(this.onHashChange, 50); 138 | } 139 | this.isListening = true; 140 | }, 141 | 142 | stopListening: function() { 143 | this.map.off("moveend", this.onMapMove, this); 144 | 145 | if (HAS_HASHCHANGE) { 146 | L.DomEvent.removeListener(window, "hashchange", this.onHashChange); 147 | } else { 148 | clearInterval(this.hashChangeInterval); 149 | } 150 | this.isListening = false; 151 | } 152 | }; 153 | L.hash = function(map) { 154 | return new L.Hash(map); 155 | }; 156 | L.Map.prototype.addHash = function() { 157 | this._hash = L.hash(this); 158 | }; 159 | L.Map.prototype.removeHash = function() { 160 | this._hash.removeFrom(); 161 | }; 162 | })(window); 163 | -------------------------------------------------------------------------------- /map.js: -------------------------------------------------------------------------------- 1 | var turf = require('turf') 2 | 3 | var roadTypes = [ 4 | 'motorway', 5 | 'trunk', 6 | 'primary', 7 | 'secondary', 8 | 'tertiary', 9 | 'unclassified', 10 | 'residential' 11 | ] 12 | 13 | module.exports = function (tileLayers, tile, writeData, done) { 14 | 15 | var tortuosities = [] 16 | 17 | for (var i = 0; i < tileLayers.osm.osm.length; i++) { 18 | var feature = tileLayers.osm.osm.feature(i) 19 | if (roadTypes.indexOf(feature.properties.highway) === -1) continue 20 | feature = feature.toGeoJSON(tile[0], tile[1], tile[2]) 21 | if (feature.geometry.type !== 'LineString') continue 22 | 23 | var roadLength = turf.lineDistance(feature, 'kilometers'), 24 | roadDist = turf.distance( 25 | turf.point(feature.geometry.coordinates[0]), 26 | turf.point(feature.geometry.coordinates.pop()) // can alter the geometry, as total length has already been calculated 27 | ) 28 | tortuosities.push({ 29 | dist: roadDist, 30 | length: roadLength 31 | }) 32 | 33 | } 34 | 35 | var tortuosity = tortuosities.reduce(function(prev, curr) { 36 | if (curr.dist > 0) { // ignore closed loops ? 37 | prev.len += curr.length 38 | prev.tort += Math.min(4, curr.length/curr.dist) * curr.length 39 | } 40 | return prev 41 | }, { len:0, tort:0 }) 42 | tortuosity = tortuosity.tort / tortuosity.len 43 | 44 | done(null, tortuosity); 45 | } 46 | 47 | 48 | -------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "tortuosmity", 3 | "licence": "ISC", 4 | "main": "index.js", 5 | "scripts": { 6 | "test": "echo \"Error: no test specified\" && exit 1" 7 | }, 8 | "dependencies": { 9 | "tile-reduce": "^3.0.0", 10 | "turf": "^2.0.2" 11 | }, 12 | "description": "Visualization of road-curviness from OpenStreetMap data.", 13 | "version": "0.1.0", 14 | "devDependencies": {}, 15 | "repository": { 16 | "type": "git", 17 | "url": "git+https://github.com/tyrasd/tortuosmity.git" 18 | }, 19 | "author": "Martin Raifer ", 20 | "bugs": { 21 | "url": "https://github.com/tyrasd/tortuosmity/issues" 22 | }, 23 | "homepage": "https://github.com/tyrasd/tortuosmity#readme", 24 | "license": "ISC" 25 | } 26 | -------------------------------------------------------------------------------- /plot.gp: -------------------------------------------------------------------------------- 1 | unset xtics 2 | unset ytics 3 | unset border 4 | unset key 5 | unset title 6 | set lmargin at screen 0 7 | set tmargin at screen 0 8 | set rmargin at screen 1 9 | set bmargin at screen 1 10 | #set palette 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