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A New Concept for Digital Geometry

  • Conference paper
Shape in Picture

Part of the book series: NATO ASI Series ((NATO ASI F,volume 126))

Abstract

A concept for geometry in a topological space with finitely many elements without the use of infinitesimals is presented. The notions of congruence, collinearity, convexity, digital lines, perimeter, area, volume, etc. are defined. The classical notion of continuous mappings is transferred (without changes) onto finite spaces. A slightly more general notion of connectivity preserving mappings is introduced. Applications for shape analysis are demonstrated.

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Author information

Authors and Affiliations

  1. Technische Fachhochschule Berlin, Luxemburger Str. 10, 13353, Berlin, Germany

    Vladimir A. Kovalevsky

Authors
  1. Vladimir A. Kovalevsky
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Editor information

Editors and Affiliations

  1. Centre for Mathematics and Computer Science (CWI), Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands

    Ying-Lie O  & Henk J. A. M. Heijmans  & 

  2. Institute for Human Factors (TNO-IZF), Netherlands Organization for Applied Scientific Research, Kampweg 5, 3769 DE, Soesterberg, The Netherlands

    Alexander Toet

  3. Department of Communication and Neuroscience, University of Keele, ST5 5BG, Keele, Staffordshire, UK

    David Foster

  4. Department of Electrical and Computer Engineering, Rutgers University, 08855-0909, Piscataway, NJ, USA

    Peter Meer

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© 1994 Springer-Verlag Berlin Heidelberg

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Kovalevsky, V.A. (1994). A New Concept for Digital Geometry. In: O, YL., Toet, A., Foster, D., Heijmans, H.J.A.M., Meer, P. (eds) Shape in Picture. NATO ASI Series, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03039-4_4

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  • DOI: https://doi.org/10.1007/978-3-662-03039-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08188-0

  • Online ISBN: 978-3-662-03039-4

  • eBook Packages: Springer Book Archive

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