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Geometrical Modeling of the Heart and Its Main Vessels

  • Jean-Luc Mari
  • Laurent Astart
  • Jean Sequeira
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2230)

Abstract

This paper introduces a global geometrical modeling approach to represent the heart and its main vessels. It takes into account that this model will be used for heart motion analysis: we have emphasized the role of organ structures because they should be a support for motion representation. But heart and vessels refer to different types of structures: thus, we have defined two different geometrical modeling approaches to handle these two anatomical elements.

Keywords

3D medical imaging heart motion modeling reconstruction 

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References

  1. 1.
    E. Remy, E. Thiel. Computing 3D medial axis for chamfer distances. In 9th DGCI, Discrete Geometry for Computer Image, volume 1953 of Lectures Notes in Computer Science, pp. 418–430, Uppsala, Sweden, December 2000.Google Scholar
  2. 2.
    S. Muraki. Volumetric shape description of range data using “Blobby Model”. Computer Graphics (Proceedings of SIGGRAPH’91), 25(4):227–235, 1991.Google Scholar
  3. 3.
    V.V. Savchenko, A.A. Pasko, O.G. Okunef, T.L. Kunii. Function representation of solids reconstructed from scattered surface points and contours. Eurographics’95, 1995.Google Scholar
  4. 4.
    E. Bittar, N. Tsingos, M.-P. Gascuel. Automatic reconstruction of unstructured 3D data: Combining a medial axis and implicit surfaces. Computer Graphics Forum (Eurographics’95 Proc.), 14:457–468, 1995.Google Scholar
  5. 5.
    C. Guiard. Modèles de surfaces déformables définis et contraints par un ensemble d’informations structurelles. PhD thesis, Université de la Méditerranée-Aix-Marseille II, 2000.Google Scholar
  6. 6.
    J.-L. Mari and J. Sequeira. Using implicit surfaces to characterize shapes within digital volumes. RECPAD 2000 Proceedings, pp. 285–289, Porto, Portugal, May 2000.Google Scholar
  7. 7.
    R. Ebel. Reconstruction interactive d’éléments anatomiques à l’aide de surfaces de forme libre, PhD thesis, E.N.S.T., January 1991.Google Scholar
  8. 8.
    C. Guiard. Etude de la G1 continuité d’embranchements de cylindres généralisés, Master thesis, Faculté des Sciences de Luminy, June 1995.Google Scholar
  9. 9.
    H. Christiansen, T. Sederberg. Conversion of complex contour line definitions into polygonal element mosaic, ACM Computer Graphics, 2(3), 1978.Google Scholar
  10. 10.
    J. Sequeira, R. Ebel, F. Schmitt. Three-dimensional modeling of tree-like structures, Computerized Medical Imaging and Graphics (Pergamon Press), 17(4–5):333–337, November 1993.CrossRefGoogle Scholar
  11. 11.
    J. Sequeira, B. Barsky. Geometrical modeling of anatomical structures, in Medical Image Processing: from pixels to structures, Y. Goussard (Eds.), pp. 141–162, Editions de l’Ecole Polytechnique de Montréal, 1997.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean-Luc Mari
    • 1
  • Laurent Astart
    • 1
  • Jean Sequeira
    • 1
  1. 1.Laboratoire d’Informatique de MarseilleUniversité de la MéditerranéeMarseilleFrance

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