Shape representation based on integral kernels: Application to image matching and segmentation

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Volumn 1, Issue , 2006, Pages 833-840

  Hong, Byung Woo ^a   Prados, Emmanuel ^a   Soatto, Stefane ^a   Vese, Luminita ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL KERNELS; SHAPE DESCRIPTOR; SHAPE REPRESENTATION;

CONSTRAINT THEORY; DEFORMATION; IMAGE SEGMENTATION; ROBUSTNESS (CONTROL SYSTEMS);

PATTERN RECOGNITION;

EID: 33845588008     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPR.2006.277     Document Type: Conference Paper

References (42)

1. S. Belongie, J. Malik, and J. Puzicha. Matching shapes. In Proc. of the IEEE Intl. Conf. on Computer Vision, 2001.
2. T. K. Carne. The geometry of shape spaces. Proc. of the London Math. Soc. (3) 61, 3(61):407-432, 1990.
3. T. Chan and L. Vese. Active contours without edges. IEEE Trans. Image Processing, 10(2):266-277, 2001.
4. T. Chan and W. Zhu. Level set based shape prior segmentation. In Proc. CVPR'05, pages 20-26, 2005.
5. G. Christensen, R. Rabbitt, and M. Miller. Deformable templates using large-deformation kinematics. 5(10):1435-1447, 1996.
6. H. Chui and A. Rangarajan. A new algorithm for non-rigid point matching. In Proc. of the IEEE Intl. Conf. on Comp. Vis. and Patt. Recog., pages 44-51, 2000.
7. P. Ciarlet. Mathematical Elasticity, volume 1. North Holland, 1988.
8. D. Cremers, T. Kohlberger, and C. Schnorr. Shape statistics in kernel space for variational image segmentation. Pattern Recognition, 36(9):1929-1943, Sept. 2003. Special Issue on Kernel and Subspace Methods in Computer Vision.
9. D. Cremers, S. Osher, and S. Soatto. Kernel density estimation and intrinsic alignment for knowledge-driven segmentation: Teaching level sets to walk. In Proc. of Pattern Recognition, volume 3175, pages 36-4, 2004.
10. M. Fischler and R. Elschlager. The representation and matching of pictorial structures. IEEE Transactions on Computers, 22(1):67-92, 1973.
11. P. Giblin. Graphs, Surfaces and Homology. Chapman and Hall, 1977.
12. L. Gorelick, M. Galun, E. Sharon, R. Basri, and A. Brandt. Shape representation and classification using the poisson equation. In In Proc. of CVPR'04, pages 61-67, 2004.
13. U. Grenander. General Pattern Theory. Oxford University Press, 1993.
14. G. Hermosillo, C. Chefd'hotel, and O. Faugeras. Variational methods for multimodal image matching. The International Journal of Computer Vision, 50(3):329-343, Nov. 2002.
15. D. G. Kendall. Shape manifolds, procrustean metrics and complex projective spaces. Bull. London Math. Soc., 16, 1984.
16. B. Kimia, A. R. Tannenbaum, and S. W. Zucker. Shapes, schoks and deformations i: The components of two-dimensional shape and the reaction-diffusion space. IJCV, 15:189-224, 1995.
17. M. Lades, C. Borbruggen, J. Buhmann, J. Lange, C. von der Malsburg, R. Wurtz, and W. Konen. Distortion invariant object rcognition in the dynamic link architecture. IEEE Trans. on Computers, 42(3):300-311, 1993.
18. H. Le and D. G. Kendall. The riemannian structure of euclidean shape spaces: a novel environment for statistics. The Annals of Statistics, 21(3):1225-1271, 1993.
19. M. Leventon, E. Grimson, and O. Faugeras. Statistical Shape Influence in Geodesic Active Contours. In In Proc. CVPR, pages 316-323, 2000.
20. M. Leventon, E. Grimson, O. Faugeras, S. Wells, and R. Kikinis. Knowledge-based segmentation of medical images. In Geometric Level Set Methods in IVG. 2003.
21. T. Lindeberg. Scale space for discrete signals. IEEE Trans. Pattern Anal. Mach. Intell., 12(3):234-254, 1990.
22. R. Malladi, J. Sethian, and B. Vemuri. Shape modeling with front propagation: A level set approach. IEEE Trans. on PAMI, 17:158-175, 1995.
23. S. Manay, B. Hong, A. Yezzi, and S. Soatto. Integral invariant signatures. In ECCV'04, volume LNCS 2034, pages 87-99, 2004.
24. K. V. Mardia and I. L. Dryden. Shape distributions for landmark data. Adv. appl. prob., 21(4):742-755, 1989.
25. G. Matheron. Random Sets and Integral Geometry. Wiley, 1975.
26. M. Miller and L. Younes. Group action, diffeomorphism and matching: a general framework. In Proc. of SCTV, 1999.
27. D. Mumford and J. Shah. Optimal approximations by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics, 42:577-684, 1989.
28. S. Osher and J. Sethian. Fronts propagating with curvature dependent speed: algorithms based on the Hamilton-Jacobi formulation. J. of Comp. Physics, 79:12-49, 1988.
29. N. Paragios and R. Deriche. Geodesic active contours and level sets for the detection and tracking of moving objects. IEEE Trans. PAMI, 22:266-280, Mar. 2000.
30. N. Paragios, M. Rousson, and V. Ramesh. Matching distance functions: A shape-to-area variational approach for global-to-local registration. In Proc. ECCV'02, volume 2, pages 775-789, May 2002.
31. N. Paragios, M. Rousson, and V. Ramesh. Non-rigid registration using distance functions. Computer Vision and Image Understanding, 89:142-165, 2003.
32. A. Pitiot, H. Delingette, and P. Thompson. Learning object correspondences with the observed transport shape measure. In Prof. IPMI 2003, 2003.
33. T. Riklin-Raviv, N. Kiryati, and N. Sochen. Unlevel-sets: Geometry and prior-based segmentation. In ECCV'04, volume LNCS 2034, pages 50-61, 2004.
34. T. Riklin-Raviv, N. Kiryati, and N. Sochen. Prior-based segmentation by projective registration and level sets. In ICCV05, pages I: 204-211, 2005.
35. M. Rousson and N. Paragios. Shape priors for level set representations. In Proc. of ECCV'02, pages 78-92, 2002.
36. J. Shi and C. Tomasi. Good features to track. In Proceedings of CVPR'94, pages 593-600, 1994.
37. R. Thoni. Structural Stability and Morphogenesis. Benjamin; Reading, 1975.
38. D. W. Thompson. On Growth and Form. Dover, 1917.
39. A. Tsai, A. Yezzi, and A. Willsky. Curve evolution implementation of the mumford-shah functional for image segmentation, denoising, interpolation, and magnification. IEEE Trans. on IP, 10:1169-1186, 2001.
40. R. C. Veltkamp and M. Hagedoorn. State of the art in shape matching. Technical Report UU-CS-1999-27, University of Utrecht, 1999.
41. A. Yezzi and S. Soatto. Deformotion: deforming motion, shape average and the joint segmentation and registration of images. Intl. J. of Comp. Vis., 53(2): 153-167, 2003.
42. S.-C. Zhu and A. Yuille. Forms: a flexible object recognition and modeling system. IJCV, 20:187-212, 1996.