Constrained delaunay triangulations

@article{Chew1989ConstrainedDT,
  title={Constrained delaunay triangulations},
  author={L. Paul Chew},
  journal={Algorithmica},
  year={1989},
  volume={4},
  pages={97-108}
}
  • L. Paul Chew
  • Published 1989
  • Algorithmica
  • Given a set ofn vertices in the plane together with a set of noncrossing, straight-line edges, theconstrained Delaunay triangulation (CDT) is the triangulation of the vertices with the following properties: (1) the prespecified edges are included in the triangulation, and (2) it is as close as possible to the Delaunay triangulation. We show that the CDT can be built in optimalO(n logn) time using a divide-and-conquer technique. This matches the time required to build an arbitrary (unconstrained… CONTINUE READING
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