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Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning

  • Conference paper
Mathematical Morphology and Its Application to Signal and Image Processing (ISMM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5720))

Abstract

Bipolarity is an important feature of spatial information, involved in the expressions of preferences and constraints about spatial positioning, or in pairs of “opposite” spatial relations such as left and right. Imprecision should also be taken into account, and fuzzy sets is then an appropriate formalism. In this paper, we propose to handle such information based on mathematical morphology operators, extended to the case of bipolar fuzzy sets. The potential of this formalism for spatial reasoning is illustrated on a simple example in brain imaging.

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Author information

Authors and Affiliations

  1. Télécom ParisTech (ENST), CNRS UMR 5141 LTCI, Paris, France

    Isabelle Bloch

Authors
  1. Isabelle Bloch
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computing Science, University of Groningen, P. O. Box 407, 9700, Groningen, AK, The Netherlands

    Michael H. F. Wilkinson

  2. Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700, Groningen, AK, The Netherlands

    Jos B. T. M. Roerdink

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© 2009 Springer-Verlag Berlin Heidelberg

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Bloch, I. (2009). Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning. In: Wilkinson, M.H.F., Roerdink, J.B.T.M. (eds) Mathematical Morphology and Its Application to Signal and Image Processing. ISMM 2009. Lecture Notes in Computer Science, vol 5720. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03613-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-03613-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03612-5

  • Online ISBN: 978-3-642-03613-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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