Transitions of the 3D medial axis under a one-parameter family of deformations

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2351, Issue , 2002, Pages 718-734

  Giblin, Peter ^a   Kimia, Benjamin B ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b Brown University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER VISION; OBJECT RECOGNITION;

GENERIC TRANSITION; HAMILTON - JACOBI EQUATIONS; OBJECT RECOGNITION SYSTEMS; ONE PARAMETER FAMILY; ORDER OF CONTACT; PERCEPTUAL ORGANIZATION; REAL APPLICATIONS; VISCOSITY SOLUTIONS;

DEFORMATION;

EID: 84948964136     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-47967-8_48     Document Type: Conference Paper

References (17)

1. I. A. Bogaevski. Singularities of viscosity solutions of Hamilton-Jacobi equations. 2001.
2. I. A. Bogavski. Metamorphoses of singularities of minimum functions and bifurcations of shock waves of the Burgers Eq. with vanishing viscosity. Math. J., 1(4):807–823, 1990.
3. J. Bruce and P. Giblin. Curves and Singularities. Cambridge University Press, 1984.
4. J. Bruce, P. Giblin, and C. Gibson. Symmetry sets. Proceedings of the Royal Society of Edinburgh, 101A:163–186, 1985.
5. P. J. Giblin and B. B. Kimia. On the local form of symmetry sets, and medial axes, and shocks in 3D. Technical Report LEMS-171, LEMS, Brown University, May 1998.
6. P. J. Giblin and B. B. Kimia. On the local form and transitions of symmetry sets, and medial axes, and shocks in 2D. In ICCV, pages 385–391, KerKyra, Greece, Sept. 1999.
7. P. J. Giblin and B. B. Kimia. On the local form of symmetry sets, and medial axes, and shocks in 3D. In Proceedings of CVPR, pages 566–573, Hilton Head Island, South Carolina, USA, June 13-15 2000. IEEE Computer Society Press.
8. P. J. Giblin and B. B. Kimia. On the local form and transitions of symmetry sets, medial axes, and shocks. IJCV, Submitted, March, 2001.
9. P. L. Halliman, G. G. Gordon, A. L. Yuille, P. Giblin, and D. Mumford. Two-and Three-Dimensional Patterns of the Face. A. K. Peters, 1999.
10. M. S. Johannes, T. B. Sebastian, H. Tek, and B. B. Kimia. Perceptual organization as object recognition divided by two. In Workshop on POCV, pages 41–46, 2001.
11. L. Lam, S.-W. Lee, and C. Y. Suen. Thinning methodologies-a comprehensive survey. IEEE Trans. on PAMI, 14(9):869–885, September 1992.
12. F. F. Leymarie. 3D Shape Representation via Shock Flows. PhD thesis, Brown University, 2002.
13. R. L. Ogniewicz and O. Kubler. Hierarchic voronoi skeletons. Pattern Recognition, 28(3):343–359, 1995.
14. T. B. Sebastian, P. N. Klein, and B. B. Kimia. Recognition of shapes by editing shock graphs. In Proceedings of the Eighth International Conference on Computer Vision, pages 755–762, Vancouver, Canada, July 9-12 2001. IEEE Computer Society Press.
15. D. Shaked and A. M. Bruckstein. Pruning medial axes. Computer Vision and Image Understanding, 69:156–169, 1998. 2.
16. S. Tari and J. Shah. Extraction of shape skeletons from grayscale images. Computer Vision Image Understanding, 66(2):133–146, 1997.
17. H. Tek and B. B. Kimia. Boundary smoothing via symmetry transforms. Journal of Mathematical Imaging and Vision, 14(3):211–223, May 2001.