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Spatial Partitioning

Spatial partitioning is a means of dividing up space in such a way that certain types of spatial lookups can be performed efficiently. For topologies, a common operation is to determine which face a particular ray intersects, if any. Implementations of the IFaceSpatialPartitioning interface provide this functionality.

This framework comes with the UniversalFaceSpatialPartitioning class, a generic implementation that works with any topology. Whether you are working with a sphere or a plane, with square grids, hexagonal grids, or randomized tiles, this class will be able to tell you which face any specified ray intersects. It will even work with wrap-around worlds, when the ray is aimed at a region outside of the canonical world bounds.

If you have a highly regular grid and need to perform a large number of ray intersections, it may be preferable to implement a more intelligent and efficient intersection test using knowledge of the grids irregularity.

Mouse picking by raycasting against spatial partition.
class MousePicker : MonoBehaviour
    public Camera camera;
    public Transform manifold;

    private IFaceSpatialPartitioning _partitioning;

    // To be called by another script that has already created a manifold.
    public void Initialize(Surface surface, Topology topology, IVertexAttribute<Vector3> vertexPositions)
        _partitioning = UniversalFaceSpatialPartitioning(surface, topology, vertexPositions);

    protected void Update()
        var worldRay = camera.ScreenPointToRay(Input.mousePosition);

        var manifoldRay = new Ray(

        var face = _partitioning.FindFace(manifoldRay);

        if (face)
            Debug.LogFormat("Mouse Position: {0}; Intersected Face: {1}", Input.mousePosition, face.index);
See Also