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Memorias de investigación
Communications at congresses:
Ronse deletability conditions and (N,k)-retractions
Year:2010
Research Areas
  • Mathematics
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 de ne 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 (N; k)-retractions. This class agrees, with minor modi cations, with the class of thinning algorithms satisfying Ronse necessary conditions for preservation of topology.
International
Si
Congress
3rd International Workshop on Computational Topology in Image Context (CTIC 2010)
960
Place
Chipiona (España)
Reviewers
Si
ISBN/ISSN
0000000000
Start Date
10/11/2010
End Date
12/11/2010
From page
9
To page
16
Internal proceedings of the 3rd International Workshop on Computational Topology in Image Context (CTIC 2010)
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
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