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International Conference on Medical Image Computing and Computer-Assisted Intervention

MICCAI 2012: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012 pp 155–162Cite as

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Groupwise Rigid Registration of Wrist Bones

Groupwise Rigid Registration of Wrist Bones

  • Martijn van de Giessen19,20,21,22,
  • Frans M. Vos19,23,
  • Cornelis A. Grimbergen22,
  • Lucas J. van Vliet19 &
  • …
  • Geert J. Streekstra22 
  • Conference paper
  • 3951 Accesses

Part of the Lecture Notes in Computer Science book series (LNIP,volume 7511)

Abstract

We present an extension of the symmetric ICP algorithm that is unbiased for an arbitrary number (N ≥ 2) of shapes, using rigid transformations and scaling. The method does not require the selection of a reference shape or registration order and hence it is unbiased towards any of the registered shapes. The functional to be minimized is non-linear in the transformation parameters and thus computationally complex. We therefore propose a first order approximation that estimates the transformation parameters in a closed form, with computational complexity \(\mathcal{O}(N^{2})\).

Using a set of wrist bones, we show that the least-squares minimization and the proposed approximation converge to the same solution. Experiments also show that the proposed algorithms lead to smaller registration errors than algorithms that select a reference shape or register to an evolving mean shape. The low computational cost and trivial parallelization enable the alignment of large numbers of bones.

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Author information

Authors and Affiliations

  1. Quantitative Imaging Group, Delft University of Technology, The Netherlands

    Martijn van de Giessen, Frans M. Vos & Lucas J. van Vliet

  2. Division of Image Processing, Leiden University Medical Center, The Netherlands

    Martijn van de Giessen

  3. Department of Intelligent Systems, Delft University of Technology, The Netherlands

    Martijn van de Giessen

  4. Dept. of Biomed. Engineering and Physics, AMC Amsterdam, The Netherlands

    Martijn van de Giessen, Cornelis A. Grimbergen & Geert J. Streekstra

  5. Dept. of Radiology, AMC Amsterdam, The Netherlands

    Frans M. Vos

Authors
  1. Martijn van de Giessen
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  2. Frans M. Vos
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  3. Cornelis A. Grimbergen
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  4. Lucas J. van Vliet
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  5. Geert J. Streekstra
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Editor information

Editors and Affiliations

  1. Project Team Asclepios, Inria Sophia Antipolis, 06902, Sophia-Antipolis, France

    Nicholas Ayache & Hervé Delingette & 

  2. MIT, CSAIL, 02139, Cambridge, MA, USA

    Polina Golland

  3. Information and Communication Headquarters, Nagoya University, 464-8603, Nagoya, Japan

    Kensaku Mori

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© 2012 Springer-Verlag Berlin Heidelberg

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Cite this paper

van de Giessen, M., Vos, F.M., Grimbergen, C.A., van Vliet, L.J., Streekstra, G.J. (2012). Groupwise Rigid Registration of Wrist Bones. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. MICCAI 2012. Lecture Notes in Computer Science, vol 7511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33418-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-33418-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33417-7

  • Online ISBN: 978-3-642-33418-4

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