Article
Continuous Well-Composedness Implies Digital Well-Composedness in n-D
Author/s | Boutry, Nicolas
González Díaz, Rocío ![]() ![]() ![]() ![]() ![]() ![]() ![]() Najman, Laurent Géraud, Thierry |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2022 |
Deposit Date | 2024-02-08 |
Published in |
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Abstract | 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 well-composed (DWC), which ... 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 well-composed (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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | PID2019-107339GB-100
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Citation | Boutry, N., González Díaz, R., Najman, L. y Géraud, T. (2022). Continuous Well-Composedness Implies Digital Well-Composedness in n-D. Journal of Mathematical Imaging and Vision, 64 (2), 131-150. https://doi.org/10.1007/s10851-021-01058-8. |
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