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Article Dans Une Revue Journal of Mathematical Imaging and Vision Année : 2022

Continuous Well-Composedness Implies Digital Well-Composedness in n-D

Laurent Najman
Thierry Géraud

Résumé

In this paper, we prove that when a n-D cubical set is continuously well-composed (CWC), that is, when the boundary of its continuous analog is a topological (n − 1)-manifold, then it is digitally wellcomposed (DWC), which means that it does not contain any critical configuration. We prove this result thanks to local homology. This paper is the sequel of a previous paper where we proved that DWCness does not imply CWCness in 4D.
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Dates et versions

hal-03575456 , version 1 (15-02-2022)

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Nicolas Boutry, Rocio Gonzalez-Diaz, Laurent Najman, Thierry Géraud. Continuous Well-Composedness Implies Digital Well-Composedness in n-D. Journal of Mathematical Imaging and Vision, 2022, 64 (2), pp.131-150. ⟨10.1007/s10851-021-01058-8⟩. ⟨hal-03575456⟩

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