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Digitally continuous multivalued functions
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
