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International Workshop on Fuzzy Logic and Applications

WILF 2003: Fuzzy Logic and Applications pp 191–199Cite as

Soft Pyramid Symmetry Transforms

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2955))

Abstract

Pyramid computation is a natural paradigm of computation in planning strategies and multi-resolution image analysis. This paper introduces a new paradigm that is based on the concept of soft-hierarchical operators implemented in a pyramid architecture to retrieve global versus local symmetries. The concept of symmetry is mathematically well defined in geometry whenever patterns are crisp images (two levels). Necessity for a soft approach occurs whenever images are multi-levels and the separation between object and background is subjective or not well defined. The paper describes a new pyramid operator to detect symmetries and shows some experiments supporting the approach. This work has been partially supported by the French Ministry of Research and the University Paris XI and the Agenzia Spaziale Italiana.

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Author information

Authors and Affiliations

  1. IEF University of PARIS XI – ORSAY, France

    Bertrand Zavidovique & Vito Di Gesú

  2. DMA University of Palermo, Palermo, Italy

    Vito Di Gesú

Authors
  1. Bertrand Zavidovique
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  2. Vito Di Gesú
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Editor information

Editors and Affiliations

  1. Stanford University, Department of Statistics, Stanford, CA, USA

    Vito Di Gesú

  2. Department of Computer and Information Sciences, University of Genova, and CNISM, Via Dodecaneso 35, I-16146, Genova, Italy

    Francesco Masulli

  3. Centro Direzionale, DSA, University of Naples Parthenope, Isola C/4, 80143, Naples, Italy

    Alfredo Petrosino

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© 2006 Springer-Verlag Berlin Heidelberg

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Zavidovique, B., Di Gesú, V. (2006). Soft Pyramid Symmetry Transforms. In: Di Gesú, V., Masulli, F., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2003. Lecture Notes in Computer Science(), vol 2955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10983652_24

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  • DOI: https://doi.org/10.1007/10983652_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31019-8

  • Online ISBN: 978-3-540-32683-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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