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Time representation of deformations: Combining vibration modes and Fourier analysis

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Object Representation in Computer Vision (ORCV 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 994))

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Abstract

We present a method for analysis of nonrigid motion in time sequences of volume images (4D data). In this method nonrigid motion of the deforming object contour is dynamically approximated by a deformable surface. In order to reduce the number of parameters describing the deformation, we make use of modal analysis which provides a spatial smoothing of the surface, and Fourier analysis on time signals of the main deformation spectrum components, which provides a temporal smoothing. Thus, a complex dynamic deformation is represented by very few parameters: the main excited spatial modes and the main Fourier harmonics. Therefore, 4D data can be analyzed and compressed in a very efficient way. The power of the approach is illustrated by results on a 4D scan heart data.

This work was done while the author was at INRIA Rocquencourt, B.P. 105, 78153 Le Chesnay CĂ©dex, France.

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References

  1. Chris A. Bartels, Alan C. Bovik, and Chris E. Griffin. Spatio-temporal tracking of material shape change via multi-dimensional splines. In Proceedings of the IEEE Workshop on Biomedical Image Analysis, Seattle, June 1994.

    Google Scholar 

  2. Klaus-Jurgen Bathe. Finite Element Procedures in Engineering Analysis. Prentice-Hall, 1982.

    Google Scholar 

  3. John C. McEachen, Arye Nehorai, and James S. Duncan. A sequential filter for temporal analysis of cardiac motion. In Proceedings of the IEEE Workshop on Biomedical Image Analysis, Seattle, June 1994.

    Google Scholar 

  4. T. McInerney and D. Terzopoulos. A finite element model for 3-D shape reconstruction and nonrigid motion tracking. In IEEE Proceedings of the Fourth International Conference on Computer Vision, pages 518–523, Berlin, June 1993. IEEE.

    Google Scholar 

  5. D. Metaxas and D. Terzopoulos. Shape and non-rigid motion estimation through physics-based synthesis. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15(6):580–591,1993.

    Google Scholar 

  6. Chahab Nastar. Vibration modes for nonrigid motion analysis in 3D images. In Proceedings of the Third European Conference on Computer Vision (ECCV '94), Stockholm, May 1994.

    Google Scholar 

  7. 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 

  8. Chahab Nastar and Nicholas Ayache. Classification of nonrigid motion in 3D images using physics-based vibration analysis. In Proceedings of the IEEE Workshop on Biomedical Image Analysis, Seattle, June 1994.

    Google Scholar 

  9. 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 

  10. P. Shi, A. Amini, G. Robinson, A. Sinusas, C. T. Constable, and J. Duncan. Shape-based 4d left ventricular myocardial funtion analysis. In Proceedings of the IEEE Workshop on Biomedical Image Analysis, Seattle, June 1994.

    Google Scholar 

  11. 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 

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Martial Hebert Jean Ponce Terry Boult Ari Gross

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© 1995 Springer-Verlag Berlin Heidelberg

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Nastar, C., Ayache, N. (1995). Time representation of deformations: Combining vibration modes and Fourier analysis. In: Hebert, M., Ponce, J., Boult, T., Gross, A. (eds) Object Representation in Computer Vision. ORCV 1994. Lecture Notes in Computer Science, vol 994. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60477-4_19

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  • DOI: https://doi.org/10.1007/3-540-60477-4_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60477-8

  • Online ISBN: 978-3-540-47526-2

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