Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Ronse deletability conditions and (N; k)-retractions
Year:2012
Research Areas
  • Mathematics,
  • Information technology and adata processing
Information
Abstract
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.
International
Si
JCR
Si
Title
Pattern Recognition Letters
ISBN
0167-8655
Impact factor JCR
1,03
Impact info
Volume
Journal number
33
From page
1477
To page
1484
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)
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