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 O(n^(d-1)/p))$. For all p between 2 and d-1, this improves on the well-known worst-case bound of $O(n^ceil(d/2))$.
Domaines
Géométrie algorithmique [cs.CG]| Origine | Fichiers produits par l'(les) auteur(s) |
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