Artículo
Continuous Well-Composedness Implies Digital Well-Composedness in n-D
Autor/es | Boutry, Nicolas
González Díaz, Rocío Najman, Laurent Géraud, Thierry |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2022 |
Fecha de depósito | 2024-02-08 |
Publicado en |
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Resumen | 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España |
Identificador del proyecto | PID2019-107339GB-100 |
Cita | 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. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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ContinuousWell.pdf | 1.591Mb | [PDF] | Ver/ | |