1. A continuous analog for 4-dimensional objects
- Author
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Jean-Luc Mari, Ana Pacheco, Pedro Real, Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII), GMOD-LSIS (GMOD-LSIS), Laboratoire des Sciences de l'Information et des Systèmes (LSIS), Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Université de Toulon (UTLN)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Université de Toulon (UTLN)-Aix Marseille Université (AMU), Aix Marseille Université (AMU), and Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Binary Object ,Cell complex ,[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH] ,Complex system ,0102 computer and information sciences ,02 engineering and technology ,Isometry ,[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG] ,Isometry (Riemannian geometry) ,01 natural sciences ,Image (mathematics) ,Artificial Intelligence ,0202 electrical engineering, electronic engineering, information engineering ,Discrete cell Embedded cell ,[INFO]Computer Science [cs] ,ComputingMilieux_MISCELLANEOUS ,Binary object ,Mathematics ,Discrete mathematics ,Applied Mathematics ,Process (computing) ,Construct (python library) ,[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR] ,010201 computation theory & mathematics ,Graph (abstract data type) ,020201 artificial intelligence & image processing ,Algorithm - 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.
- Published
- 2013
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