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An Axiomatic Approach to Digital Topology

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Digital and Image Geometry

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2243))

Abstract

In a series of papers the authors have developed an approach to Digital Topology, which is based on a multilevel architecture. One of the foundations of this approach is an axiomatic definition of the notion of digital space. In this paper we relate this approach with several other approaches to Digital Topology appeared in literature through a deep analysis of the axioms involved in the definition of digital space.

This work has been partially supported by the projects DGES PB96-1374 and DGES TIC2000-1368-C03-01.

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Author information

Authors and Affiliations

  1. Dpt. de Informática e Ingeniería de Sistemas, Facultad de Ciencias Universidad de Zaragoza, E-50009, Zaragoza, Spain

    Eladio Domínguez & Angel R. Francés

Authors
  1. Eladio Domínguez
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  2. Angel R. Francés
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Editor information

Editors and Affiliations

  1. Groupe ESIEE, Cité Descartes, 2, Bld. Blaise-Pascal, 93162, Noisy-le-Grand, France

    Gilles Bertrand

  2. Media Technology Division, Chiba University, Inst. of Media and Information Technology, 1-33 Yayoi-cho, Inage-ku, 263-8522, Chiba, Japan

    Atsushi Imiya

  3. The University of Auckland, CITR Tamaki, Tamaki Campus, Morrin Road, Glen Innes, 1005, Auckland, New Zealand

    Reinhard Klette

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© 2001 Springer-Verlag Berlin Heidelberg

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Domínguez, E., Francés, A.R. (2001). An Axiomatic Approach to Digital Topology. In: Bertrand, G., Imiya, A., Klette, R. (eds) Digital and Image Geometry. Lecture Notes in Computer Science, vol 2243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45576-0_1

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  • DOI: https://doi.org/10.1007/3-540-45576-0_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43079-7

  • Online ISBN: 978-3-540-45576-9

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