Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Digitally continuous multivalued functions, morphological operations and thinning algorithms
Year:2012
Research Areas
  • Mathematics
Information
Abstract
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.
International
Si
JCR
Si
Title
Journal of Mathematical Imaging And Vision
ISBN
0924-9907
Impact factor JCR
1,244
Impact info
Datos JCR del año 2010
Volume
Journal number
42
From page
76
To page
91
Month
SIN MES
Ranking
Participants
  • Autor: M. del Carmen Escribano Iglesias (UPM)
  • Autor: Antonio Giraldo Carbajo (UPM)
  • Autor: M. Asuncion Sastre Rosa (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada (Facultad de Informática)
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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