A continuous analog for 4-dimensional objects

Authors:
A. Pacheco;J. -L. Mari;P. Real
Affiliations:
Dpto. Matemática Aplicada I, E.T.S.I. Informática, Universidad de Sevilla, Sevilla, Spain 41012;Information and System Science Laboratory (LSIS, UMR CNRS 7296), Aix-Marseille Université, Marseille Cedex 9, France 13288;Dpto. Matemática Aplicada I, E.T.S.I. Informática, Universidad de Sevilla, Sevilla, Spain 41012
Venue:
Annals of Mathematics and Artificial Intelligence
Year:
2013

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Abstract

In this paper, we follow up on the studies developed by Kovalevsky (Comput Vis Graph Image Process 46:141---161, 1989) and Kenmochi et al. (Comput Vis Image Underst 71:281---293, 1998), which defined a continuous analog for a 4-dimensional digital object. Here, we construct a cell complex that has the same topological information as the original 4-dimensional digital object.