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Digital and Image Geometry pp 38–58Cite as

Algorithms and Data Structures for Computer Topology

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

Abstract

The paper presents an introduction to computer topology with applications to image processing and computer graphics. Basic topological notions such as connectivity, frontier, manifolds, surfaces, combinatorial homeomorphism etc. are recalled and adapted for locally finite topological spaces. The paper describes data structures for explicitly representing classical topological spaces in computers and presents some algorithms for computing topological features of sets. Among them are: boundary tracing (n=2,3), filling of interiors (n=2,3,4), labeling of components, computing of skeletons and others.

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Author information

Authors and Affiliations

  1. Institute of Computer Graphics, University of Rostock, Albert-Einstein-Str. 21, 18051, Rostock, Germany

    Vladimir Kovalevsky

Authors
  1. Vladimir Kovalevsky
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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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Kovalevsky, V. (2001). Algorithms and Data Structures for Computer 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_3

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  • DOI: https://doi.org/10.1007/3-540-45576-0_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43079-7

  • Online ISBN: 978-3-540-45576-9

  • eBook Packages: Springer Book Archive

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