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Communication Dans Un Congrès Année : 2020

A 4D counter-example showing that DWCness does not imply CWCness in n-D

Résumé

In this paper, we prove that the two flavors of well-composedness called Continuous Well-Composedness (shortly CWCness) and Digital Well-Composedness (shortly DWCness) are not equivalent in dimension 4 thanks to an example of a configuration of 8 tesseracts (4D cubes) sharing a common corner (vertex), which is DWC but not CWC. This result is surprising since we know that CWCness and DWCness are equivalent in 2D and 3D. To prove this new result, local (and then relative) homology are used. This paper has been submitted to IWCIA.
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Dates et versions

hal-02455798 , version 1 (26-01-2020)

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Nicolas Boutry, Rocio Gonzalez-Diaz, Laurent Najman, Thierry Géraud. A 4D counter-example showing that DWCness does not imply CWCness in n-D. Combinatorial Image Analysis. IWCIA 2020, Jul 2020, Novi Sad, Serbia. ⟨10.1007/978-3-030-51002-2_6⟩. ⟨hal-02455798⟩
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