Local Criteria for Triangulating General Manifolds - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Discrete and Computational Geometry Year : 2023

Local Criteria for Triangulating General Manifolds

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 verified in such a setting, they are expected to be of general use.
Fichier principal
Vignette du fichier
LocalConditionsForTriangulation2-DCG.pdf (581.12 Ko) Télécharger le fichier
Origin : Publication funded by an institution

Dates and versions

hal-03794702 , version 1 (06-10-2022)

Licence

Attribution

Identifiers

Cite

Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, Mathijs Wintraecken. Local Criteria for Triangulating General Manifolds. Discrete and Computational Geometry, 2023, 69, pp.156-191. ⟨10.1007/s00454-022-00431-7⟩. ⟨hal-03794702⟩
51 View
50 Download

Altmetric

Share

Gmail Facebook X LinkedIn More