Observatorio de I+D+i UPM

Descripción
In a recent paper \cite{egsdcmf} we have introduced a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach, which uses multivalued functions, 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 this work we deepen into the properties of this family of continuous functions, now concentrating on morphological operations and thinning algorithms. We show that our notion of continuity provides a suitable framework for the basic operations in mathematical morphology: erosion, dilation, closing, and opening. On the other hand, concerning thinning algorithms, we give conditions under which the existence of a retraction $F:X\longrightarrow X\setminus D$ guarantees that $D$ is deletable. The converse is not true, in general, although it is in certain particular important cases which are at the basis of many thinning algorithms.
Internacional	Si
JCR del ISI	Si
Título de la revista	Journal of Mathematical Imaging And Vision
ISSN	0924-9907
Factor de impacto JCR	1,244
Información de impacto	Datos JCR del año 2010
Volumen
DOI
Número de revista	42
Desde la página	76
Hasta la página	91
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)