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An Interval-Valued Fuzzy Morphological Model Based on Lukasiewicz-Operators

  • Conference paper
Advanced Concepts for Intelligent Vision Systems (ACIVS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5259))

Abstract

Mathematical morphology is a well-known theory to process binary, grayscale or color images. In this paper, we introduce interval-valued fuzzy mathematical morphology as an extension of classical and fuzzy morphology. It originates from the observation that the pixel values of a grayscale image are not always certain, and models this uncertainty using interval-valued fuzzy set theory. In this way, we are able to incorporate the uncertainty regarding measured pixel values into the toolbox of morphological operators. We focus our attention on a morphological model whose underlying logical framework is based on the Lukasiewicz-operators. For this model we investigate and discuss general theoretical properties, some computational aspects, as well as its relation to fuzzy morphology and classical grayscale morphology.

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Author information

Authors and Affiliations

  1. Dept. of Applied Mathematics and Computer Science Fuzziness and Uncertainty Modelling Research Unit, Ghent University, Krijgslaan 281 - S9, 9000, Gent, Belgium

    M. Nachtegael, T. Mélange & E. E. Kerre

  2. Dept. of Applied Mathematics, State University of Campinas, Campinas, SP, 13083 859, Brazil

    P. Sussner

Authors
  1. M. Nachtegael
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  2. P. Sussner
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  3. T. Mélange
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  4. E. E. Kerre
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Editor information

Editors and Affiliations

  1. DGA/D4S/MRIS, 94114, Arcueil, France

    Jacques Blanc-Talon

  2. Ecole Centrale de Marseille, 13451, Marseille, France

    Salah Bourennane

  3. Ghent University, 9000, Gent, Belgium

    Wilfried Philips

  4. CSIRO ICT Centre, NSW 1710, Sydney, Australia

    Dan Popescu

  5. University of Antwerp, 2610, Wilrijk, Belgium

    Paul Scheunders

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© 2008 Springer-Verlag Berlin Heidelberg

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Nachtegael, M., Sussner, P., Mélange, T., Kerre, E.E. (2008). An Interval-Valued Fuzzy Morphological Model Based on Lukasiewicz-Operators. In: Blanc-Talon, J., Bourennane, S., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2008. Lecture Notes in Computer Science, vol 5259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88458-3_54

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  • DOI: https://doi.org/10.1007/978-3-540-88458-3_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88457-6

  • Online ISBN: 978-3-540-88458-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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