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Digital and Image Geometry pp 429–438Cite as

About the Limiting Behaviour of Iterated Robust Morphological Operators

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

Abstract

We study the limiting behaviour of the repeated application of a discrete image operator that belongs to a recently introduced class of morphological operators. To this purpose, we describe the implied iterative process by a discrete dynamical system.

The convergence is derived for binary and gray scale images.

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Author information

Authors and Affiliations

  1. Centro de Investigación en Matemáticas, Ap. Postal 402, 36000, Guanajuato, Gto., Mexico

    Johan Van Horebeek & Ernesto Tapia-Rodriguez

  2. Institut für Informatik, Freie Universität Berlin, Tacostr. 9, D-14195, Berlin, Germany

    Ernesto Tapia-Rodriguez

Authors
  1. Johan Van Horebeek
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  2. Ernesto Tapia-Rodriguez
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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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Van Horebeek, J., Tapia-Rodriguez, E. (2001). About the Limiting Behaviour of Iterated Robust Morphological Operators. 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_26

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  • DOI: https://doi.org/10.1007/3-540-45576-0_26

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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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