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Journal Articles Discrete and Computational Geometry Year : 2020

Triangulating submanifolds: An elementary and quantified version of Whitney’s method

Trianguler les sous-variétés: une version élémentaire et quantifiée de la méthode de Whitney

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Abstract

We quantize Whitney's construction to prove the existence of a triangulation for any C^2 manifold, so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.
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Dates and versions

hal-03109814 , version 1 (14-01-2021)

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Jean-Daniel Boissonnat, Siargey Kachanovich, Mathijs Wintraecken. Triangulating submanifolds: An elementary and quantified version of Whitney’s method. Discrete and Computational Geometry, 2020, ⟨10.1007/s00454-020-00250-8⟩. ⟨hal-03109814⟩
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