Digitally continuous multivalued functions

Escribano Iglesias, M. del Carmen and Giraldo Carbajo, Antonio and Sastre Rosa, María de la Asunción (2008). Digitally continuous multivalued functions. In: "Discrete Geometry for Computer Imagery 14th IAPR International Conference, DGCI 2008", 16/04/2008-18/04/2008, Lyon, Francia. ISBN 978-3-540-79125-6.

Description

Title: Digitally continuous multivalued functions
Author/s:
  • Escribano Iglesias, M. del Carmen
  • Giraldo Carbajo, Antonio
  • Sastre Rosa, María de la Asunción
Item Type: Presentation at Congress or Conference (Unspecified)
Event Title: Discrete Geometry for Computer Imagery 14th IAPR International Conference, DGCI 2008
Event Dates: 16/04/2008-18/04/2008
Event Location: Lyon, Francia
Title of Book: Discrete Geometry for Computer Imagery, Proceedings of the 14th IAPR International Conference, DGCI 2008
Date: 2008
ISBN: 978-3-540-79125-6
Volume: 4992,
Subjects:
Freetext Keywords: Digital space - continuous function - simple point - retraction
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 4904
DC Identifier: http://oa.upm.es/4904/
OAI Identifier: oai:oa.upm.es:4904
Official URL: http://www.springerlink.com/content/978-3-540-79125-6/#section=258597&page=1
Deposited by: Memoria Investigacion
Deposited on: 12 Nov 2010 09:53
Last Modified: 20 Apr 2016 13:56
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