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Homological Groups, Spanning Forests and Membrane Computing


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Author: Berciano Alcaraz, Ainhoa
Díaz Pernil, Daniel
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I
Date: 2011
Published in: Image-A : Applicable Mathematics in Image Engineering, 2 (4), 13-16
Document type: Article
Abstract: In this paper we present a new way to determine the geometrical objects associated to the Homology groups of a 2D-digital binary image. In fact, using Membrane Computing with techniques of spanning forests, we are able to define a parallel algorithm which calculates not only the Betti numbers, but also the geometric objects which generate these holes.
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