Skip to main content
SpringerLink
Log in
Book cover

International Conference on Computer Vision, Virtual Reality, and Robotics in Medicine

CVRMed 1995: Computer Vision, Virtual Reality and Robotics in Medicine pp 252–256Cite as

Registration of 3D Objects Using Linear Algebra

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 905))

Abstract

A method for estimating the orientation of 3D objects without point correspondence information is described. It is based on the decomposition of the object onto a basis of spherical harmonics. Tensors are obtained, and their normalization provides the orientation.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E.J. Holupka & H.M. Kooy, “Spherical harmonic expansion of cranial surfaces”, Medical Physics, 18 (4), pp 765–768, Jul/Aug 1991

    Article  Google Scholar 

  2. E.J. Holupka & H.M. Kooy, “A geometric algorithm for medical image correlations”, Medical Physics, 19 (2), pp 433–438, Mar/Apr 1992

    Article  Google Scholar 

  3. J.J. Jacq & C. Roux, “Recalage Monomodalité Automatique en Imagerie Médicale 2D et 3D à l’aide d’un Algorithme Génétique Traditionnel”, 9 congrès RFIA, Paris, 11–14 janvier 1994, pp 109–120

    Google Scholar 

  4. R. Lenz, “Group theoretical methods in image processing”, Lecture notes in computer science, n° 413, 1987

    Google Scholar 

  5. S. Linnainman et al., “Pose Determination of a three Dimensionnai Object Using Triangle Pairs”, IEEE-PAMI, vol. 10, n° 5, Sept. 1988

    Google Scholar 

  6. K.D. Toennies et al., “Registration of 3D Objects and Surfaces”, IEEE Computer Graphics and Applications, vol. 10, n° 3, pp 52–62, May 1990

    Article  Google Scholar 

  7. E. Wigner, “Group Theory and its application to Quantum Mechanics of Atomic Spectra”, New-York: Academic, 1959

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Thomson Broadband Systems, Av. Belle Fontaine, 35510, Cesson-Sévigné, France

    Gilles Burel, Hugues Henocq & Jean-Yves Catros

Authors
  1. Gilles Burel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hugues Henocq
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jean-Yves Catros
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. INRIA, B. P. 93, F-06902, Sophia-Antipolis, France

    Nicholas Ayache

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Burel, G., Henocq, H., Catros, JY. (1995). Registration of 3D Objects Using Linear Algebra. In: Ayache, N. (eds) Computer Vision, Virtual Reality and Robotics in Medicine. CVRMed 1995. Lecture Notes in Computer Science, vol 905. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49197-2_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-49197-2_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59120-7

  • Online ISBN: 978-3-540-49197-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation