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Optimal Consensus Set for nD Fixed Width Annulus Fitting

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Combinatorial Image Analysis (IWCIA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9448))

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Abstract

This paper presents a method for fitting a nD fixed width spherical shell to a given set of nD points in an image in the presence of noise by maximizing the number of inliers, namely the consensus set. We present an algorithm, that provides the optimal solution(s) within a time complexity \(O(N^{n+1}\log N)\) for dimension n, N being the number of points. Our algorithm guarantees optimal solution(s) and has lower complexity than previous known methods.

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Acknowledgments

The authors express their thanks to Mr. Pierre Boulenguez, who contributed in the implementation of a part of the 3D Fitting. The work for this paper was partly financed by Egide, franco-Japanese PHC Sakura project \(n^o\) 27608XJ and by the Poitou Charentes region project \(n^o\) 11/RPC-R-051.

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Authors and Affiliations

  1. Laboratoire XLIM, SIC, UMR CNRS 7252, Université de Poitiers, BP 30179, 86962, Futuroscope Chasseneuil, France

    Rita Zrour, Gaelle Largeteau-Skapin & Eric Andres

Authors
  1. Rita Zrour
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  2. Gaelle Largeteau-Skapin
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  3. Eric Andres
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Correspondence to Rita Zrour .

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Editors and Affiliations

  1. SUNY Fredonia, Fredonia, New York, USA

    Reneta P. Barneva

  2. Advanced Computing and Microelectronics, Indian Statistical Institute, Kolkata, Germany

    Bhargab B. Bhattacharya

  3. SUNY Buffalo State, Buffalo, New York, USA

    Valentin E. Brimkov

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Zrour, R., Largeteau-Skapin, G., Andres, E. (2015). Optimal Consensus Set for nD Fixed Width Annulus Fitting. In: Barneva, R., Bhattacharya, B., Brimkov, V. (eds) Combinatorial Image Analysis. IWCIA 2015. Lecture Notes in Computer Science(), vol 9448. Springer, Cham. https://doi.org/10.1007/978-3-319-26145-4_8

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  • DOI: https://doi.org/10.1007/978-3-319-26145-4_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26144-7

  • Online ISBN: 978-3-319-26145-4

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