Journal articles
Local Conditions for Triangulating Submanifolds of Euclidean Space
Abstract : We consider the following setting: suppose that we are given a manifold M in $${\mathbb {R}}^d$$ R d with positive reach. Moreover assume that we have an embedded simplical complex $${\mathcal {A}}$$ A without boundary, whose vertex set lies on the manifold, is sufficiently dense and such that all simplices in $${\mathcal {A}}$$ A have sufficient quality. We prove that if, locally, interiors of the projection of the simplices onto the tangent space do not intersect, then $${\mathcal {A}}$$ A is a triangulation of the manifold, that is, they are homeomorphic.
https://hal-amu.archives-ouvertes.fr/hal-03372073
Contributor : Jean-Daniel Boissonnat Connect in order to contact the contributor
Submitted on : Saturday, October 9, 2021 - 5:28:25 PM
Last modification on : Friday, February 4, 2022 - 3:16:32 AM
Long-term archiving on: : Monday, January 10, 2022 - 6:19:30 PM
Contributor : Jean-Daniel Boissonnat Connect in order to contact the contributor
Submitted on : Saturday, October 9, 2021 - 5:28:25 PM
Last modification on : Friday, February 4, 2022 - 3:16:32 AM
Long-term archiving on: : Monday, January 10, 2022 - 6:19:30 PM
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