Complexity of Delaunay triangulation for points on lower-dimensional~polyhedra
Résumé
We show that the Delaunay triangulation of a set of points distributed nearly uniformly on a polyhedron (not necessarily convex) of dimension p in d-dimensional space is of order n to the power (d-1)/p for p between 2 and d-1. This improves on the well-known worst-case bound of n to the power ceiling of d/2.
Domaines
Géométrie algorithmique [cs.CG]
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