Vertex Removal in Two Dimensional Delaunay Triangulation: Asymptotic Complexity is Pointless
Résumé
The theoretical complexity of vertex removal in a Delaunay triangulation is often given in terms of the degree d of the removed point with usual results O(d), O(d log d), or O(d²). In fact the asymptotic complexity is of poor interest since d is usually quite small. In this paper we carefully design code for small degrees 3 ≤ d ≤ 7, it improves the global behavior of the removal for random points by a factor of 2.
Domaines
Géométrie algorithmique [cs.CG]Origine | Fichiers produits par l'(les) auteur(s) |
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