ArcGIS Runtime：如何确定两个 3D 几何之间的关系

Question

我想判断两个3D几何之间的关系：

1. 是否重叠
2. 如果重叠，重叠的部分是多少，重叠的体积是多少。

想知道ArcGIS中有没有成熟的方法可以实现这样的功能，具体的数学问题对我来说太难实现了

目前在ArcGIS中找到了相关的class GeometryEngine，但好像无效：

var onMapLocation = new MapPoint(0, 0, 0, SpatialReferences.Wgs84);

var num = 1;
List<MapPoint> points = new List<MapPoint>();

points.Add(new MapPoint(onMapLocation.X, onMapLocation.Y + num, onMapLocation.Z + num, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X + num, onMapLocation.Y + num, onMapLocation.Z + num, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X + num, onMapLocation.Y, onMapLocation.Z + num, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X, onMapLocation.Y, onMapLocation.Z + num, onMapLocation.SpatialReference));

Esri.ArcGISRuntime.Geometry.Polygon polygon1 = new Esri.ArcGISRuntime.Geometry.Polygon(points);

var num2 = 2;
points = new List<MapPoint>();
points.Add(new MapPoint(onMapLocation.X, onMapLocation.Y + num2, onMapLocation.Z + num2, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X + num2, onMapLocation.Y + num2, onMapLocation.Z + num2, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X + num2, onMapLocation.Y, onMapLocation.Z + num2, onMapLocation.SpatialReference));
points.Add(new MapPoint(onMapLocation.X, onMapLocation.Y, onMapLocation.Z + num2, onMapLocation.SpatialReference));

Esri.ArcGISRuntime.Geometry.Polygon polygon2 = new Esri.ArcGISRuntime.Geometry.Polygon(points);

var g1 = GeometryEngine.Difference(polygon1, polygon2);

结果g1为空

这里是参考：

https://developers.arcgis.com/net/latest/wpf/api-reference/html/M_Esri_ArcGISRuntime_Geometry_GeometryEngine_Difference.htm

Answer 1

我用错方法了，正确的方法如下：

var b = GeometryEngine.Intersects(polygon1, polygon2);
var g3 = GeometryEngine.Intersection(polygon1, polygon2);
var g2 = GeometryEngine.Intersections(polygon1, polygon2);

public static bool Intersects(Geometry geometry1, Geometry geometry2);
public static Geometry? Intersection(Geometry geometry1, Geometry geometry2);
public static IReadOnlyList<Geometry> Intersections(Geometry geometry1, Geometry geometry2);