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Shape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes

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Scale Space and Variational Methods in Computer Vision (SSVM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6667))

Abstract

Analysis of intrinsic symmetries of non-rigid and articulated shapes is an important problem in pattern recognition with numerous applications ranging from medicine to computational aesthetics. Considering articulated planar shapes as closed curves, we show how to represent their extrinsic and intrinsic symmetries as self-similarities of local descriptor sequences, which in turn have simple interpretation in the frequency domain. The problem of symmetry detection and analysis thus boils down to analysis of descriptor sequence patterns. For that purpose, we show two efficient computational methods: one based on Fourier analysis, and another on dynamic programming.

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Author information

Authors and Affiliations

  1. Indian Institute of Technology Delhi, India

    Amit Hooda

  2. Inst. of Computational Science, Faculty of Informatics, Università della Svizzera Italiana, Lugano, Switzerland

    Michael M. Bronstein

  3. Dept. of Electrical Engineering, Tel Aviv University, Israel

    Alexander M. Bronstein

  4. INRIA Grenoble, Rhône-Alpes, France

    Radu P. Horaud

Authors
  1. Amit Hooda
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  2. Michael M. Bronstein
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  3. Alexander M. Bronstein
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  4. Radu P. Horaud
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Editor information

Editors and Affiliations

  1. Computer Science Department, Technion — Israel Institute of Technology, 718 Taub Building Technion, 32000, Haifa, Israel

    Alfred M. Bruckstein

  2. Department of Biomedical Engineering, Biomedical Image Analysis and Interpretation, Eindhoven University of Technology, Den Dolech 2 – WH 2.101, 5600 MB, Eindhoven, The Netherlands

    Bart M. ter Haar Romeny

  3. Faculaty of Engineering, School of Electrical Engineering, Tel Aviv University, Ramat Aviv, 69978, Israel

    Alexander M. Bronstein

  4. Institute of Computationa Science, Faculty of Informatics SI-109, Università della Svizzera Italiana, Via Giuseppe Buffi 13, 6904, Lugano, Switzerland

    Michael M. Bronstein

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Hooda, A., Bronstein, M.M., Bronstein, A.M., Horaud, R.P. (2012). Shape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes. In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2011. Lecture Notes in Computer Science, vol 6667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24785-9_56

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  • DOI: https://doi.org/10.1007/978-3-642-24785-9_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24784-2

  • Online ISBN: 978-3-642-24785-9

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