Local criteria for triangulation of manifolds * - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2017

Local criteria for triangulation of manifolds *

Jean-Daniel Boissonnat
  • Function : Author
  • PersonId : 830857
Ramsay Dyer
  • Function : Author
  • PersonId : 938488
Mathijs Wintraecken
  • Function : Author
  • PersonId : 1020357

Abstract

We present criteria for establishing a triangulation of a manifold. Given a manifold M , a simplicial complex A, and a map H from the underlying space of A to M , our criteria are presented in local coordinate charts for M , and ensure that H is a homeomorphism. These criteria do not require a differentiable structure, or even an explicit metric on M. No Delaunay property of A is assumed. The result provides a triangulation guarantee for algorithms that construct a simplicial complex by working in local coordinate patches. Because the criteria are easily checked algorithmically, they are expected to be of general use.
Fichier principal
Vignette du fichier
homeo.pdf (511.04 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01661230 , version 1 (11-12-2017)

Identifiers

Cite

Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, Mathijs Wintraecken. Local criteria for triangulation of manifolds *. 2017. ⟨hal-01661230⟩
203 View
83 Download

Altmetric

Share

Gmail Facebook X LinkedIn More