Regularizing 3D medial axis using medial scaffold transforms

26th IEEE Conference on Computer Vision and Pattern Recognition, CVPR

Volumn , Issue , 2008, Pages

  Chang, Ming Ching ^a   Kimia, Benjamin B ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; CHLORINE COMPOUNDS; COMPUTER VISION; FEATURE EXTRACTION; IMAGE PROCESSING; MATHEMATICAL TRANSFORMATIONS; PATTERN RECOGNITION; SCAFFOLDS; TRANSITION FLOW;

3-D SHAPE; GREEDY SCHEME; HYPER GRAPH; MEDIAL-AXIS; PAPER ADDRESSES; SHAPE-ANALYSIS; SMALL PERTURBATIONS; TOPOLOGICAL CHANGES; TRANSITION POINTS;

THREE DIMENSIONAL;

EID: 52249090263     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPR.2008.4587594     Document Type: Conference Paper

References (37)

1. N. Amenta, S. Choi, and R. K. Kolluri. The power crust. In Solid Modeling and App., pages 249-260, 2001. 3
2. D. Attali, J.-D. Boissonat, and H. Edelsbrunner. Stability and computation of the medial axis, in mathematical foundations of scientific visualization, computer graphics, and massive data exploration, 2004. 3
3. D. Attali and A. Montanvert. Computing and simplifying 2D and 3D continuous skeletons. CVIU, 67(3):261-273, 1997. 3
4. H. Blum. Biological shape and visual science. Journal of Theoretical Biology, 38:205-287, 1973. 3
5. M.-C. Chang, F. Leymarie, and B. Kimia. 3D shape registration using regularized medial scaffolds. In Proc. 3DPVT, pages 987-994. IEEE Computer Society, 2004. 1, 7
6. M.-C. Chang, F. Leymarie, and B. Kimia. Surface reconstruction from point clouds by transforming the medial scaffold. In Proc. 3DIM, pages 13-20, 2007. 1, 2, 6, 7
7. F. Chazal and A. Lieutier. The "λ-medial axis". Graph. Models, 67(4):304-331, 2005. 3, 7
8. N. Cornea and P. Min. Curve-skeleton properties, applications, and algorithms. TVCG, 13(3):530-548, 2006. 3
9. T. Dey, J. Giesen, and S. Goswami. Shape segmentation and matching from noisy point clouds. In Proc. Eurographics Sympos. Point-Based Graphics, pages 193-199, 2004. 1
10. T. Dey and W. Zhao. Approximating the medial axis from the Voronoi diagram with a convergence guarantee. Algorithmica, 38:179-200, 2003. 3
11. P. Giblin and B. Kimia. On the intrinsic reconstruction of shape from its symmetries. PAMI, 25(7):895-911, 2003. 1, 3
12. P. Giblin and B. Kimia. A formal classification of 3D medial axis points and their local geometry. PAMI, 26(2):238-251, 2004. 1, 3
13. P. Giblin and B. Kimia. Transitions of the 3D medial axis under a one-parameter family of deformations. PAMI, accepted, 2007. 1, 2, 4, 6
14. P. J. Giblin and B. B. Kimia. Transitions of the 3D medial axis. In ECCV, pages 718-724, 2002. 1
15. J. Giesen, E. A. Ramos, and B. Sadri. Medial axis approximation and unstable flow complex. In SCG, pages 327-336, 2006. 3
16. S. Goswami, T. Dey, and C. Bajaj. Identifying flat and tubular regions of a shape by unstable manifolds. In SPM, pages 27-37, 2006. 1
17. M. Hisada, A. Belyaev, and T. Kunii. A skeleton-based approach for detection of perceptually salient features on polygonal surfaces. CGF, 21:689-700, 2002. 1, 3, 7
18. N. Iyer, S. Jayanti, K. Lou, Y. Kalyanaraman, and K. Ramani. A multi-scale hierarchical 3D shape representation for similar shape retrieval. In TMCE, pages 1117-1118, 2004. 1
19. M. Johannes, T. Sebastian, H. Tek, and B. Kimia. Perceptual organization as object recognition divided by two. In POCV, pages 41-46, 2001. 6
20. F. Leymarie and B. Kimia. The medial scaffold of 3D unorganized point clouds. PAMI, 29(2):313-330, 2007. 1, 3, 7
21. F. Leymarie, B. Kimia, and P. Giblin. Towards surface regularization via medial axis transitions. In ICPR, pages 123-126, 2004. 2, 5
22. M. Leyton. A Generative Theory of Shape. LNCS 2145. Springer-Verlag, 2001. 1
23. D. C. Moore, J. J. Crisco, T. G. Trafton, and E. L. Leventhal. A digital database of wrist bone anatomy and carpal kinematics. J. Biomech., 40(11):2537-42, 2007. 7
24. M. Naf, G. Szekely, and et al. 3D Voronoi skeletons and their usage for the characterization and recognition of 3D organ shape. CVIU, 66(2):147-161, 1997. 3
25. S. Pizer and et al. Deformable m-Reps for 3D medical image segmentation. IJCV, 55(2-3):85-106, 2003. 1
26. S. Pizer, K. Siddiqi, G. Székely, J. Damon, and S. Zucker. Multiscale medial loci and their properties. IJCV, 55(2-3):155-179, 2003. 3
27. T. Sebastian, P. Klein, and B. Kimia. Recognition of shapes by editing their shock graphs. PAMI, 26:551-571, 2004. 1
28. K. Siddiqi, S. Bouix, A. Tannenbaum, and S. W. Zucker. Hamilton-jacobi skeletons. IJCV, 48(3):215-231, 2002. 3
29. K. Siddiqi, J. Zhang, D. Macrini, A. Shokoufandeh, S. Bouix, and S. Dickinson. Retrieving articulated 3-D models using medial surfaces. MVA, pages 1432-1769, 2007. 1
30. S. Stolpner and K. Siddiqi. Revealing significant medial structure in polyhedral meshes. In 3DPVT, pages 365-372, 2006. 3
31. M. Styner, G. Gerig, S. Joshi, and S. Pizer. Automatic and robust computation of 3D medial models incorporating object variability. IJCV, 55(2-3):107-122, 2003. 3, 4
32. A. Sud, M. Foskey, and D. Manocha. Homotopy-preserving medial axis simplification. In SPM, pages 39-50, 2005. 3
33. R. Tam and W. Heidrich. Shape simplification based on the medial axis transform. In VIS, pages 481-488, 2003. 1, 3, 4
34. H. Tek and B. Kimia. Boundary smoothing via symmetry transforms. JMIV, 14(3):211-223, May 2001. 1, 3, 4
35. N. Trinh and B. Kimia. A symmetry-based generative model for shape. In Proc. ICCV, pages 1-8, 2007. 1
36. A. Willis, S. Andrews, J. Baker, and et al. Assembling virtual pots from 3D measurements of their fragments. In VAST, pages 241-254. ACM, 2001. 7
37. S. Yoshizawa, A. Belyaev, and H.-P. Seidel. Skeleton-based variational mesh deformations. CGF, 26(3):255-264, 2007. 1, 3, 8