Local criteria for triangulation of manifolds
Document Type
Conference Article
Publication Title
Leibniz International Proceedings in Informatics, LIPIcs
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.
First Page
91
Last Page
914
DOI
10.4230/LIPIcs.SoCG.2018.9
Publication Date
6-1-2018
Recommended Citation
Boissonnat, Jean Daniel; Dyer, Ramsay; Ghosh, Arijit; and Wintraecken, Mathijs, "Local criteria for triangulation of manifolds" (2018). Conference Articles. 88.
https://digitalcommons.isical.ac.in/conf-articles/88
