Interface PlaneConvexSubset

All Superinterfaces:
HyperplaneConvexSubset<Vector3D>, HyperplaneSubset<Vector3D>, PlaneSubset, Sized, Splittable<Vector3D,HyperplaneSubset<Vector3D>>
All Known Subinterfaces:
ConvexPolygon3D, Triangle3D
All Known Implementing Classes:
AbstractConvexPolygon3D, EmbeddedAreaPlaneConvexSubset, SimpleTriangle3D, VertexListConvexPolygon3D

public interface PlaneConvexSubset extends PlaneSubset, HyperplaneConvexSubset<Vector3D>
Interface representing a finite or infinite convex subset of points in a plane in Euclidean 3D space.
  • Method Details

    • reverse

      Reverse the orientation of the hyperplane for this instance, returning the result as a new instance. The returned subset contains the same points but has a reversed orientation.
      Specified by:
      reverse in interface HyperplaneConvexSubset<Vector3D>
      Returns:
      a hyperplane convex subset representing the same region but with the opposite orientation.
    • transform

      PlaneConvexSubset transform(Transform<Vector3D> transform)
      Return a new hyperplane subset resulting from the application of the given transform. The current instance is not modified.
      Specified by:
      transform in interface HyperplaneConvexSubset<Vector3D>
      Specified by:
      transform in interface HyperplaneSubset<Vector3D>
      Parameters:
      transform - the transform instance to apply
      Returns:
      new transformed hyperplane subset
    • split

      Split this instance with the given hyperplane.
      Specified by:
      split in interface HyperplaneConvexSubset<Vector3D>
      Specified by:
      split in interface Splittable<Vector3D,HyperplaneSubset<Vector3D>>
      Parameters:
      splitter - the hyperplane to split this object with.
      Returns:
      result of the split operation
    • getEmbedded

      Return an object containing the plane subset as an embedded 2D subspace region.
      Specified by:
      getEmbedded in interface PlaneSubset
      Returns:
      an object containing the plane subset as an embedded 2D subspace region
    • getVertices

      List<Vector3D> getVertices()
      Get the vertices for the convex subset in a counter-clockwise order as viewed looking down the plane normal. Each vertex in the returned list is unique. If the boundary of the subset is closed, the start vertex is not repeated at the end of the list.

      It is important to note that, in general, the list of vertices returned by this method is not sufficient to completely characterize the subset. For example, a simple triangle has 3 vertices, but an infinite area constructed from two parallel lines and two lines that intersect between them will also have 3 vertices. It is also possible for non-empty subsets to contain no vertices at all. For example, a subset with no boundaries (representing the full plane), a subset with a single boundary (ie, a half-plane), or a subset with two parallel boundaries will not contain any vertices.

      Returns:
      the list of vertices for the plane convex subset in a counter-clockwise order as viewed looking down the plane normal
    • toConvex

      default List<PlaneConvexSubset> toConvex()
      Convert this instance into a list of convex child subsets representing the same region. Implementations are not required to return an optimal convex subdivision of the current instance. They are free to return whatever subdivision is readily available.

      This method simply returns a singleton list containing this object.

      Specified by:
      toConvex in interface HyperplaneSubset<Vector3D>
      Specified by:
      toConvex in interface PlaneSubset
      Returns:
      a list of hyperplane convex subsets representing the same subspace region as this instance