Last update: July 22, 2004

3D Shape Representation based on Shocks

Benjamin B. Kimia , Frederic F. Leymarie et al.

Selected publications

M.-C. Chang, F. F. Leymarie and B. B. Kimia, "3D Shape Registration using Regularizaed Medial Scaffolds," 2nd International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT), Thessaloniki, Greece, September 2004.
F. F. Leymarie, B. B. Kimia and P. J. Giblin, "Towards Surface Regularization via Medial Axis Transitions," 17th International Conference on Pattern Recognition (ICPR'04), Cambridge, U.K., August 2004.

F. F. Leymarie and B. B. Kimia, "Computation of the Shock Scaffold for Unorganized Point Clouds in 3D," IEEE Proceedings of the Conference on Computer Vision and Pattern Recognition (CVPR'03), Volume 1, pp. 821-827, Madison, Wisconsin, USA, June 2003.
F. F. Leymarie, "3D Shape Representation via Shock Flows," Ph.D. thesis, Brown University, May 2003.
F. F. Leymarie and B. B. Kimia, (provisional) US patent: "Method and apparatus for multi-dimensional shape representation via shock flows," 2002.
P. J. Giblin and B. B. Kimia "Transitions of the 3D Medial Axis Under a One-Parameter Family of Deformations," in "Computer Vision - ECCV," Lecture Notes in Computer Science (LNCS 2351, part II), Springer-Verlag, pp. 719-734, May 2002.
B. Kimia and F. Leymarie, "Symmetry-based Representation of Volumetric Imaging", invited paper at the International Conference on Image Processing (ICIP01), October 2001 (Greece). Proceedings of IEEE ICIP'01, vol. 2, pp. 581 -584.
F. Leymarie and B. Kimia, "The Shock Scaffold for Representing 3D Shape", Proc. of 4th International Workshop on Visual Form (IWVF4), May 2001 (Italy). Published in "Visual Form 2001", Lecture Notes in Computer Science (LNCS 2059), Springer-Verlag, pp. 216-229. May 2001.
P. J. Giblin and B. B. Kimia "On the Local Form of Symmetry Sets, and Medial Axes, and Shocks in 3D," Proceedings of the Conference on Computer Vision and Pattern Recognition (CVPR'00), pp. 566-573, June 2000.
F. Leymarie and B. Kimia, "Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points," International Symp. on Math. Morpho. (ISMM), Kluwer Academic, Comp. Imaging & Vision Series, vol.18, pp.351-360, June 2000.

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