An optimal mesh computer algorithm for constrained Delaunay triangulation

We present an optimal parallel algorithm that runs in O(/spl radic/n) time on a /spl radic/n/spl timesspl radic/n mesh to compute the constrained Delaunay triangulation of a planar straight line graph G whose vertices lie in an n-element set S. Implications of our result also include an efficient PRAM algorithm for the same problem, a new optimal mesh algorithm to compute a planar Voronoi diagram, as well as a partial solution to the problem of the geodesic Voronoi diagram of a point set inside a simple polygon.<
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