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ICAOS '96 pp 74-81 | Cite as

Image processing of meteorological images with implicit functions

  • Hussein M. Yahia
  • Isabelle L. Herlin
Active Contours
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 219)

Abstract

Level sets of implicit functions are used for segmentation and tracking of deformable structures encountered in remote sensed imagery. Iso-contours are proposed as a basic tool to model motion of natural structures undergoing viscoelastic deformation and topological change. In this study we present an energy minimization process for the segmentation of deformable structures. The energy functional carries information about position, tangency and curvature. By using implicit functions, it is possible to satisfy in a simple way complex geometrical requirements about motion which would be rather difficult to ensure using a parametrized interpolating surface. The method is applied over a temporal sequence of satellite images displaying a vortex motion.

Keywords

Control Point Tangent Vector Topological Change Motion Tracking Vortex 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.

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References

  1. 1.
    A. H. Barr. Superquadrics and angle-preseving transforms. IEEE Computer Graphics and Applications, 1(1):11–23, 1981.Google Scholar
  2. 2.
    J. Blinn. A generalization of algebraic surface drawing. ACM Transactions on Graphics, pages 235–256, July 1982.Google Scholar
  3. 3.
    T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham. Active shape models-their training and application. Computer Vision and Image Understanding, 61(1):38–59, January 1995.Google Scholar
  4. 4.
    P. E. Gill, W. Murray, and M. H. Wright. Practical Optimization. Academic Press, New-York and London, 1981.Google Scholar
  5. 5.
    I.L. Herlin, C. Nguyen, and Ch. Graffigne. Stochastic segmentation of ultrasound images. In ICPR Proceedings, The Hague, Holland, August 30–September 3 1992.Google Scholar
  6. 6.
    S. Muraki. Volumetric shape description of range data using blobby model. Computer Graphics, 25(4):227–235, July 1991.Google Scholar
  7. 7.
    H. Nishimura, M. Hirai, T. Kawai, T. Kawata, I. Shirakawa, and K. Omura. Objects modeling by distribution function and a method of image generation (in japanese). Trans. IEICE, J68-D(4):718–725, 1985.Google Scholar
  8. 8.
    A. Pentland and K. Mase. Automatic visual recognition of spoken words. Technical Report 117, M.I.T. Media Lab Vision Science, August 1989.Google Scholar
  9. 9.
    C.H. Reinsch. Smoothing by spline functions I. Numerische Mathematik, 10:177–183, 1967.Google Scholar
  10. 10.
    S. Sclaroff and A. Pentland. Generalized implicit functions for computer graphics. Computer Graphics, 25(4):247–250, July 1991.Google Scholar
  11. 11.
    A. Szantai and M. Desbois. Construction of cloud trajectories to study the cloud life cycle. Advanced Space Research, 14(3):115–118, 1994.Google Scholar
  12. 12.
    J. A. Thorpe. Elementary Topics In Differential Geometry. Springer-Verlag, New-York Heidelberg Berlin, 1979.Google Scholar
  13. 13.
    L. Velho and J. Gomes. Approximate conversion of parametric to implicit surfaces. In Implicit Surfaces'95, pages 77–96, Grenoble, France, April 1995.Google Scholar
  14. 14.
    B. Wyvill and G. Wyvill. Field functions for implicit surfaces. The Visual Computer, 5:75–82, December 1989.Google Scholar
  15. 15.
    G. Wyvill, C. McPheeters, and B. Wyvill. Animating soft objects. The Visual Computer, 2:235–242, August 1986.Google Scholar
  16. 16.
    G. Wyvill, C. McPheeters, and Brian Wyvill. Data structures for soft objects. The Visual Computer, 2:227–234, August 1986.Google Scholar

Copyright information

© Springer-Verlag London Limited 1996

Authors and Affiliations

  • Hussein M. Yahia
    • 1
  • Isabelle L. Herlin
    • 1
  1. 1.INRIA, RocquencourtLe Chesnay CedexFrance

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