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International Workshop on Combinatorial Image Analysis

IWCIA 2012: Combinatorial Image Analaysis pp 115–127Cite as

Adjacencies for Structuring the Digital Plane

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7655))

Abstract

We study graphs with the vertex set ℤ2 which are subgraphs of the 8-adjacency graph and have the property that certain natural cycles in these graphs are Jordan curves, i.e., separate ℤ2 into exactly two connected components. For the minimal graphs with this property, we discuss their quotient graphs, too.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Brno University of Technology, 616 69, Brno, Czech Republic

    Josef Šlapal

Authors
  1. Josef Šlapal
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Editor information

Editors and Affiliations

  1. Department of Computer and Information Sciences, State University of New York at Fredonia, 280 Central Ave, 14063, Fredonia, NY, USA

    Reneta P. Barneva

  2. Mathematics Department, SUNY Buffalo State College, 1300Elmwood Ave, 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  3. Department of Electrical and Computer Engineering, University of Texas at Austin, 1 University Station C0803, 78712-0240 TX, Austin, USA

    Jake K. Aggarwal

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Šlapal, J. (2012). Adjacencies for Structuring the Digital Plane. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds) Combinatorial Image Analaysis. IWCIA 2012. Lecture Notes in Computer Science, vol 7655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34732-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-34732-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34731-3

  • Online ISBN: 978-3-642-34732-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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