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Associating cell complexes to four dimensional digital objects


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Opened Access Associating cell complexes to four dimensional digital objects

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Author: Pacheco Martínez, Ana María
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2011
Published in: Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science,Vol. 6607, p. 104-115
Document type: Chapter of Book
Abstract: The goal of this paper is to construct an algebraic-topological representation of a 80–adjacent doxel-based 4–dimensional digital object. Such that representation consists on associating a cell complex homologically equivalent to the digital object. To determine the pieces of this cell complex, algorithms based on weighted complete graphs and integral operators are shown. We work with integer coefficients, in order to compute the integer homology of the digital object.
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