Observatorio de I+D+i UPM

Descripción
In some recent papers we have introduced a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach, which uses multivalued maps, provides a better framework to define topological notions, like retractions, in a far more realistic way than by using just single-valued digitally continuous functions. In particular, we have characterized the deletion of simple points and some well known parallel thinning algorithm as a particular type of retractions, called (N,k)-retractions. In this paper we give a full characterization of the thinning algorithms that can be modeled as $(\Nn ,k)$-retractions. This class agrees, with minor modifications, with the class of thinning algorithms satisfying Ronse necessary conditions for preservation of topology.
Internacional	Si
JCR del ISI	Si
Título de la revista	Pattern Recognition Letters
ISSN	0167-8655
Factor de impacto JCR	1,03
Información de impacto
Volumen
DOI
Número de revista	33
Desde la página	1477
Hasta la página	1484
Mes	SIN MES
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• Autor: M. del Carmen Escribano Iglesias (UPM)
• Autor: Antonio Giraldo Carbajo (UPM)
• Autor: M. Asuncion Sastre Rosa (UPM)

• Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
• Departamento: Matemática Aplicada (Facultad de Informática)