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Vibration modes for nonrigid motion analysis in 3D images

  • Chahab Nastar
Ego-Motion and 3D Recovery
Part of the Lecture Notes in Computer Science book series (LNCS, volume 800)

Abstract

We concentrate on nonrigid motion analysis in 3D images using modal dynamics. Borrowing the solid state physics formulation, we develop the equations of motion and the analytical expression of vibration modes of a multidimensional elastically-deformable model. Thus, nonrigid motion of a 3D deformable object can be recovered in closed-form in real time. The power of the approach is demonstrated by a set of experimental results on 3D medical data.

Keywords

Free Vibration Human Head Deformable Model Modal Approximation Nonrigid Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    Neil W. Ashcroft and M. David Mermin. Solid State Physics. Saunders College Publishing International Edition, 1976.Google Scholar
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    Chahab Nastar and Nicholas Ayache. Fast segmentation, tracking, and analysis of deformable objects. In Proceedings of the Fourth International Conference on Computer Vision (ICCV '93), Berlin, May 1993.Google Scholar
  3. 3.
    Chahab Nastar and Nicholas Ayache. Classification of nonrigid motion in 3D images using physics-based vibration analysis. Technical report, INRIA, 1994. Submitted to the IEEE Workshop on Biomedical Image Analysis, Seattle, June 1994.Google Scholar
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    Alex Pentland and Stan Sclaroff. Closed-form solutions for physically based shape modelling and recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-13(7):715–729, July 1991.Google Scholar
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    Demetri Terzopoulos, Andrew Witkin, and Michael Kass. Constraints on deformable models: recovering 3-D shape and nonrigid motion. AI Journal, 36:91–123, 1988.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Chahab Nastar
    • 1
  1. 1.INRIA RocquencourtLe Chesnay CedexFrance

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