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<html lang="en">
<title>Calculate a convex hull - Azure Maps Web SDK Samples</title>
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<meta http-equiv="x-ua-compatible" content="IE=Edge" />
<meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no" />
<meta name="description" content="This sample shows how to calculate a convex hull from an array of shapes." />
<meta name="keywords" content="Microsoft maps, map, gis, API, SDK, geospatial, spatial math, math, convex hull" />
<meta name="author" content="Microsoft Azure Maps" />
<!-- Add references to the Azure Maps Map control JavaScript and CSS files. -->
<link rel="stylesheet" href="" type="text/css" />
<script src=""></script>
<script type='text/javascript'>
var map, datasource;
function GetMap() {
//Point the Azure Maps domain to the US Azure Gov Cloud domain.
//Initialize a map instance.
map = new atlas.Map('myMap', {
center: [-90, 35],
zoom: 3,
view: 'Auto',
//Add authentication details for connecting to Azure Maps.
authOptions: {
//Use Azure Active Directory authentication.
authType: 'anonymous',
clientId: 'c9f2f391-13f1-407b-a4a5-f0a241bacfbf', //Your Azure Active Directory client id for accessing your Azure Maps account.
getToken: function (resolve, reject, map) {
//URL to your authentication service that retrieves an Azure Active Directory Token.
var tokenServiceUrl = '';
fetch(tokenServiceUrl).then(r => r.text()).then(token => resolve(token));
//Alternatively, use an Azure Maps key. Get an Azure Maps key at NOTE: The primary key should be used as the key.
//authType: 'subscriptionKey',
//subscriptionKey: '<Your Azure Maps Key>'
//Wait until the map resources are ready.'ready', function () {
//Create a data source and add it to the map.
datasource = new atlas.source.DataSource();
//Create a layer to render the convex hull as a polygon and the point data as symbols.
new atlas.layer.PolygonLayer(datasource),
new atlas.layer.SymbolLayer(datasource, null, {
iconOptions: {
ignorePlacement: true,
allowOverlap: true
function updateCoordinates() {
//Generate some random coordinates over the USA.
var shapes = [];
for (var i = 0; i < 15; i++) {
Math.random() * 40 - 120,
Math.random() * 20 + 30
var hull = atlas.math.getConvexHull(shapes);
<body onload="GetMap()">
<div id="myMap" style="position:relative;width:100%;min-width:290px;height:600px;"></div>
<input type="button" value="Update Coordinates" onclick="updateCoordinates()" style="position:absolute;top:10px;left:10px;" />
<fieldset style="width:calc(100% - 30px);min-width:290px;margin-top:10px;">
<legend><h1 style="font-size:16px">Calculate a convex hull</h1></legend>
This sample shows how to calculate a convex hull from an array of shapes.
A convex hull is a shape that represents that minimum convex geometry that encloses all shapes in the specified data set.