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Preprints, Working Papers, ... Year : 2017

Local criteria for triangulation of manifolds *

Jean-Daniel Boissonnat
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Ramsay Dyer
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Mathijs Wintraecken
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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.
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hal-01661230 , version 1 (11-12-2017)



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