Coxeter triangulations have good quality - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2017

Coxeter triangulations have good quality

Abstract

Coxeter triangulations are triangulations of Euclidean space based on a simple simplex. By this we mean that given an individual simplex we can recover the entire triangulation of Euclidean space by inductively reflecting in the faces of the simplex. In this paper we establish that the quality of the simplices in all Coxeter triangulations is $O(1/ √ d)$ of the quality of regular simplex. We further investigate the Delaunay property (and an extension thereof) for these triangulations. In particular, one family of Coxeter triangulations achieves the protection $O(1/d 2)$. We conjecture that both bounds are optimal for triangulations in Euclidean space.
Fichier principal
Vignette du fichier
report-hal.pdf (609.43 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01667404 , version 1 (19-12-2017)

Identifiers

  • HAL Id : hal-01667404 , version 1

Cite

Aruni Choudhary, Siargey Kachanovich, Mathijs Wintraecken. Coxeter triangulations have good quality. 2017. ⟨hal-01667404⟩
481 View
239 Download

Share

Gmail Facebook X LinkedIn More