Observatorio de I+D+i UPM

Memorias de investigación
Book chapters:
Digitally continuous multivalued functions
Year:2008
Research Areas
  • Mathematics
Information
Abstract
We introduce in this paper a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach uses multivalued maps. We show how the multivalued approach 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 characterize the deletion of simple points, one of the most important processing operations in digital topology, as a particular kind of retraction.
International
Si
Book Edition
0
Book Publishing
Springer
ISBN
978-3-540-79125-6
Series
Lecture Notes in Computer Science
Book title
Discrete Geometry for Computer Imagery
From page
81
To page
92
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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