Artículo
Effective homology of k-D digital objects (partially) calculated in parallel
Autor/es | Reina Molina, Raúl
Díaz Pernil, Daniel Real Jurado, Pedro Berciano, Ainhoa |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2016 |
Fecha de depósito | 2021-09-23 |
Publicado en |
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Resumen | In [18], a membrane parallel theoretical framework for computing (co)homology information of fore- ground or background of binary digital images is developed. Starting from this work, we progress here in two senses: (a) ... In [18], a membrane parallel theoretical framework for computing (co)homology information of fore- ground or background of binary digital images is developed. Starting from this work, we progress here in two senses: (a) providing advanced topological information, such as (co)homology torsion and effi- ciently answering to any decision or classification problem for sum of k -xels related to be a (co)cycle or a (co)boundary; (b) optimizing the previous framework to be implemented in using GPGPU computing. Discrete Morse theory, Effective Homology Theory and parallel computing techniques are suitably com- bined for obtaining a homological encoding, called algebraic minimal model, of a Region-Of-Interest (seen as cubical complex) of a presegmented k -D digital image. |
Cita | Reina Molina, R., Díaz Pernil, D., Real Jurado, P. y Berciano, A. (2016). Effective homology of k-D digital objects (partially) calculated in parallel. Pattern Recognition Letters, 83 (1), 59-66. |
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