Constrained Delaunay triangulation

In computational geometry, a constrained Delaunay triangulation is a generalization of the Delaunay triangulation that forces certain required segments into the triangulation as edges,[1][2] unlike the Delaunay triangulation itself which is based purely on the position of a given set of vertices without regard to how they should be connected by edges. It can be computed efficiently and has applications in geographic information systems and in mesh generation.

  1. ^ Chew, L. Paul (1989), "Constrained Delaunay triangulations", Algorithmica, 4 (1): 97–108, doi:10.1007/BF01553881, MR 0983658, S2CID 189918468
  2. ^ Shewchuk, Jonathan Richard (2008), "General-dimensional constrained Delaunay and constrained regular triangulations. I. Combinatorial properties", Discrete & Computational Geometry, 39 (1–3): 580–637, doi:10.1007/s00454-008-9060-3, MR 2383774