Memorias de investigación
Artículos en revistas:
Digitally Continuous Multivalued Functions, Morphological Operations and Thinning Algorithms
Año:2010
Áreas de investigación
  • Matemáticas
Datos
Descripción
In a recent paper (Escribano et al. in Discrete Geometry for Computer Imagery 2008. Lecture Notes in Computer Science, vol. 4992, pp. 81-92, 2008) 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 develop 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->X \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
1,437
Información de impacto
Volumen
DOI
Número de revista
Desde la página
1
Hasta la página
16
Mes
MARZO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada (Facultad de Informática)