Type Members

1.  trait CompleteIndexedPointSet extends IndexedPointSet

   A more specific version of IndexedPointSet guaranteeing that every index from 0 to length-1 has an associated Coordinate.

2.  class HalfEdge[V, F] extends Serializable
3.  class HalfEdgeTable extends Serializable

   Mutable, non-thread safe class to keep track of half edges during Delaunay triangulation.

   Mutable, non-thread safe class to keep track of half edges during Delaunay triangulation.

   Half edge meshes are representations of piecewise linear, orientable, manifold surfaces, with or without boundary (no Mobius strips, edges are shared by at most two facets, every vertex has a single continuous fan of facets emanating from it). Every facet in the mesh is defined by a loop of half edges that are in a linked list, and every facet is joined to its neighboring facets by linking complementary half edges. In short, a half edge has three pieces of information: (1) a vertex reference (dest), (2) a complementary HalfEdge (flip), and (3) a pointer to the next edge on the boundary of a facet. These are sufficient to allow complete navigation of a mesh.

   For convenience, derived navigation operations are provided. Consider the following diagram:

   v1 <---------- v2 <---------- v3
   ^|     e1      ^|     e2      ^|
   ||             ||             ||
   || e3       e4 || e5       e6 ||
   ||             ||             ||
   |V     e7      |V     e8      |V
   v4 ----------> v5 ----------> v6

   Starting from e1, getNext produces the sequence e1, e3, e7, e4, e1, ...

   Starting from e2, getPrev produces the sequence e2, e6, e8, e5, e2, ...

   getFlip(e4) == e5 and getFlip(e5) == e4

   rotCCWSrc(e4) == getFlip(e7)

   rotCWSrc(e4) == e8

   rotCCWDest(e4) == e2

   rotCWDest(e4) == getFlip(e1)

   getDest(e4) == v2

   getSrc(e4) == getDest(e5) == v5

   The HalfEdgeTable contains an Array[Int] in chunks of three where each of these chunks is specified as follows: [i,e1,e2] where i is the vertex of the halfedge (where the half edge 'points' to) e1 is the halfedge index of the flip of the halfedge (the halfedge that points to the source) e2 is the halfedge index of the next half edge (counter-clockwise of the triangle)

4.  trait IndexedPointSet extends Serializable

   Provides an interface to a collection of Coordinates that have integer indices.

   Provides an interface to a collection of Coordinates that have integer indices. The wrapped collection may be sparsely indexed.