谷歌地图多边形自相交检测

Question

我正在尝试从 Google Maps API V3 多边形实现多边形自相交算法。
目标只是检测是或否，用户绘制的简单多边形是自交叉的。

我找到了this very interesting link，但它假定多边形顶点的坐标以geoJSON 格式给出。但是，这不是我的情况；我只能使用polygon.getPath() 将多边形坐标检索到polygoncomplete 事件中。

这就是我检索坐标的方式：

google.maps.event.addDomListener(drawingManager, 'polygoncomplete', function(polygon)
{
    var polygonBounds = polygon.getPath();
    var coordinates = [];

    for(var i = 0 ; i < polygonBounds.length ; i++)
    {            
        vertice = {
                      "Latitude" : polygonBounds.getAt(i).lat(),
                      "Longitude" : polygonBounds.getAt(i).lng()
                  }

        coordinates.push(vertice );
    }
}

如何将polygon.getpath() 给出的这些坐标转换为 geoJSON 格式？
有没有更好的方法来检测谷歌地图多边形是否自相交？如果是这样，您能否分享一些代码示例而不仅仅是数学解释？

PS : 我看过 this 链接，但没有任何代码示例，我有点迷茫。

Answer 1

您无需将它们转换为 GeoJSON 即可使用 jsts library，您需要将它们从 google.maps.LatLng 对象转换为 jsts.geom.Coordinates。而不是使用这个：

var geoJSON2JTS = function(boundaries) {
  var coordinates = [];
  for (var i = 0; i < boundaries.length; i++) {
    coordinates.push(new jsts.geom.Coordinate(
        boundaries[i][1], boundaries[i][0]));
  }
  return coordinates;
};

使用它，它将 google.maps.Polygon 路径中的坐标转换为 JTS 格式：

var googleMaps2JTS = function(boundaries) {
  var coordinates = [];
  for (var i = 0; i < boundaries.getLength(); i++) {
    coordinates.push(new jsts.geom.Coordinate(
        boundaries.getAt(i).lat(), boundaries.getAt(i).lng()));
  }
  return coordinates;
};

然后像这样更改“findSelfIntersects”：

/**
 * findSelfIntersects
 *
 * Detect self-intersections in a polygon.
 *
 * @param {object} google.maps.Polygon path co-ordinates.
 * @return {array} array of points of intersections.
 */
var findSelfIntersects = function(googlePolygonPath) {
  var coordinates = googleMaps2JTS(googlePolygonPath);
  var geometryFactory = new jsts.geom.GeometryFactory();
  var shell = geometryFactory.createLinearRing(coordinates);
  var jstsPolygon = geometryFactory.createPolygon(shell);
 
  // if the geometry is aleady a simple linear ring, do not
  // try to find self intersection points.
  var validator = new jsts.operation.IsSimpleOp(jstsPolygon);
  if (validator.isSimpleLinearGeometry(jstsPolygon)) {
    return;
  }
 
  var res = [];
  var graph = new jsts.geomgraph.GeometryGraph(0, jstsPolygon);
  var cat = new jsts.operation.valid.ConsistentAreaTester(graph);
  var r = cat.isNodeConsistentArea();
  if (!r) {
    var pt = cat.getInvalidPoint();
    res.push([pt.x, pt.y]);
  }
  return res;
};

proof of concept fiddle (credit to HoffZ)

代码 sn-p：

var mapOptions = {
  zoom: 16,
  center: new google.maps.LatLng(62.1482, 6.0696)
};

var drawingManager = new google.maps.drawing.DrawingManager({
  drawingControl: false,
  polygonOptions: {
    editable: true
  }
});

var googleMaps2JTS = function(boundaries) {
  var coordinates = [];
  for (var i = 0; i < boundaries.getLength(); i++) {
    coordinates.push(new jsts.geom.Coordinate(
      boundaries.getAt(i).lat(), boundaries.getAt(i).lng()));
  }
  coordinates.push(coordinates[0]);
  console.log(coordinates);
  return coordinates;
};

/**
 * findSelfIntersects
 *
 * Detect self-intersections in a polygon.
 *
 * @param {object} google.maps.Polygon path co-ordinates.
 * @return {array} array of points of intersections.
 */
var findSelfIntersects = function(googlePolygonPath) {
  var coordinates = googleMaps2JTS(googlePolygonPath);
  var geometryFactory = new jsts.geom.GeometryFactory();
  var shell = geometryFactory.createLinearRing(coordinates);
  var jstsPolygon = geometryFactory.createPolygon(shell);

  // if the geometry is aleady a simple linear ring, do not
  // try to find self intersection points.
  var validator = new jsts.operation.IsSimpleOp(jstsPolygon);
  if (validator.isSimpleLinearGeometry(jstsPolygon)) {
    return;
  }

  var res = [];
  var graph = new jsts.geomgraph.GeometryGraph(0, jstsPolygon);
  var cat = new jsts.operation.valid.ConsistentAreaTester(graph);
  var r = cat.isNodeConsistentArea();
  if (!r) {
    var pt = cat.getInvalidPoint();
    res.push([pt.x, pt.y]);
  }
  return res;
};


var map = new google.maps.Map(document.getElementById("map"), mapOptions);
drawingManager.setDrawingMode(google.maps.drawing.OverlayType.POLYGON);
drawingManager.setMap(map);
google.maps.event.addListener(drawingManager, 'polygoncomplete', function(polygon) {
  //var polyPath = event.overlay.getPath();
  var intersects = findSelfIntersects(polygon.getPath());
  console.log(intersects);
  if (intersects && intersects.length) {
    alert('Polygon intersects itself');
  } else {
    alert('Polygon does not intersect itself');
  }
});

#map {
  width: 500px;
  height: 400px;
}

<script src="https://maps.google.com/maps/api/js?libraries=drawing&key=AIzaSyCkUOdZ5y7hMm0yrcCQoCvLwzdM6M8s5qk"></script>
<script src="https://cdn.rawgit.com/bjornharrtell/jsts/gh-pages/1.4.0/jsts.min.js"></script>
<p>
  Draw a polygon on the map
</p>

<div id="map">

</div>