P systems and computational algebraic topology

Membrane Computing is a paradigm inspired from biological cellular communication. Membrane computing devices are called P systems. In this paper we calculate some algebraic-topological information of 2D and 3D images in a general and parallel manner using P systems. First, we present a new way to ob...

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Detalles Bibliográficos
Autores: Christinal, Hepzibah A., Díaz Pernil, Daniel, Real Jurado, Pedro
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/33034
Acceso en línea:http://hdl.handle.net/11441/33034
https://doi.org/10.1016/j.mcm.2010.06.001
Access Level:acceso abierto
Palabra clave:P systems
Membrane computing
Homology groups
Segmentation
Digital topology
Algebraic topology
Descripción
Sumario:Membrane Computing is a paradigm inspired from biological cellular communication. Membrane computing devices are called P systems. In this paper we calculate some algebraic-topological information of 2D and 3D images in a general and parallel manner using P systems. First, we present a new way to obtain the homology groups of 2D digital images in time logarithmic with respect to the input data involving an improvement with respect to the algorithms development by S. Peltier et al. Second, we obtain an edge-segmentation of 2D and 3D digital images in constant time with respect to the input data.