Local Conditions for Triangulating Submanifolds of Euclidean Space

Article Type

Research Article

Publication Title

Discrete and Computational Geometry

Abstract

We consider the following setting: suppose that we are given a manifold M 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.

First Page

666

Last Page

686

DOI

10.1007/s00454-020-00233-9

Publication Date

9-1-2021

Comments

Open Access, Hybrid Gold, Green

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