Memorias de investigación
Communications at congresses:
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 de ne 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
Congress
14th IAPR International Conference on Discrete Geometry for Computer Imagery dgci 2008 16-18 April 2008 Lyon, France
960
Place
Szeged (Hungría)
Reviewers
Si
ISBN/ISSN
978-3-540-79125-6
Start Date
16/04/2008
End Date
18/04/2008
From page
81
To page
92
Digitally continuous multivalued functions, in Coeurjolly, D., Sivignon, I., Tougne, L., Dupont, F., (eds.): Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science 4992
Participants

Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada (Facultad de Informática)