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Local conditions for triangulating submanifolds of Euclidean space

Abstract : In this paper, we consider the following setting: suppose that we are given a manifold in Rd with positive reach. Moreover assume that we have an embedded simplical complex A without boundary, whose vertex set lies on the manifold, is sufficiently dense and such that all simplices in A have sufficient quality. We prove that if, locally, interiors of the projection of the simplices onto the tangent space do not intersect, then A is a triangulation of the manifold, that is they are homeomorphic.
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https://hal.inria.fr/hal-02267620
Contributor : Jean-Daniel Boissonnat <>
Submitted on : Monday, August 19, 2019 - 3:34:24 PM
Last modification on : Friday, April 30, 2021 - 10:03:14 AM
Long-term archiving on: : Thursday, January 9, 2020 - 5:33:18 PM

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  • HAL Id : hal-02267620, version 1

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Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, André Lieutier, Mathijs Wintraecken. Local conditions for triangulating submanifolds of Euclidean space. 2019. ⟨hal-02267620⟩

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