Non-rigid point set registration by preserving global and local structures

IEEE Transactions on Image Processing

Volumn 25, Issue 1, 2016, Pages 53-64

  Ma, Jiayi ^a   Zhao, Ji ^b   Yuille, Alan L ^c  

^a WUHAN UNIVERSITY   (China)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Gaussian mixture model; Global local; Non rigid; Registration; Shape matching

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); GAUSSIAN DISTRIBUTION; MATHEMATICAL TRANSFORMATIONS; OBJECT RECOGNITION;

GAUSSIAN MIXTURE MODEL; GLOBAL/LOCAL; NON-RIGID; REGISTRATION; SHAPE MATCHING;

GEOMETRY;

ALGORITHM; ANIMAL; HUMAN; IMAGE PROCESSING; NORMAL DISTRIBUTION; PROCEDURES;

ALGORITHMS; ANIMALS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; NORMAL DISTRIBUTION;

EID: 85003781887     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2015.2467217     Document Type: Article

References (43)

1. L. G. Brown, "A survey of image registration techniques, " ACM Comput. Surv., vol. 24, no. 4, pp. 325-376, 1992.
2. P. J. Besl and N. D. McKay, "A method for registration of 3D shapes, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 14, no. 2, pp. 239-256, Feb. 1992.
3. H. Chui and A. Rangarajan, "A new point matching algorithm for non-rigid registration, " Comput. Vis. Image Understand., vol. 89, pp. 114-141, Feb. 2003.
4. J. Ma, H. Zhou, J. Zhao, Y. Gao, J. Jiang, and J. Tian, "Robust feature matching for remote sensing image registration via locally linear transforming, " IEEE Trans. Geosci. Remote Sens., vol. 53, no. 12, pp. 6469-6481, Dec. 2015.
5. X. Bai, X. Yang, L. J. Latecki, W. Liu, and Z. Tu, "Learning context-sensitive shape similarity by graph transduction, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 32, no. 5, pp. 861-874, May 2010.
6. J. Wang, X. Bai, X. You, W. Liu, and L. J. Latecki, "Shape matching and classification using height functions, " Pattern Recognit. Lett., vol. 33, no. 2, pp. 134-143, 2012.
7. J. Ma, J. Zhao, Y. Ma, and J. Tian, "Non-rigid visible and infrared face registration via regularized Gaussian fields criterion, " Pattern Recognit., vol. 48, no. 3, pp. 772-784, 2015.
8. S. Rusinkiewicz and M. Levoy, "Efficient variants of the ICP algorithm, " in Proc. 3rd Int. Conf. 3D Digit. Imag. Model., May 2001, pp. 145-152.
9. A. W. Fitzgibbon, "Robust registration of 2D and 3D point sets, " Image Vis. Comput., vol. 21, no. 13, pp. 1145-1153, Dec. 2003.
10. A. Makadia, A. I. Patterson, and K. Daniilidis, "Fully automatic registration of 3D point clouds, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Jun. 2006, pp. 1297-1304.
11. A. Myronenko and X. Song, "Point set registration: Coherent point drift, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 32, no. 12, pp. 2262-2275, Dec. 2010.
12. R. Horaud, F. Forbes, M. Yguel, G. Dewaele, and J. Zhang, "Rigid and articulated point registration with expectation conditional maximization, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 33, no. 3, pp. 587-602, Mar. 2011.
13. Y. Zheng and D. Doermann, "Robust point matching for nonrigid shapes by preserving local neighborhood structures, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 28, no. 4, pp. 643-649, Apr. 2006.
14. X. Bai, L. J. Latecki, and W.-Y. Liu, "Skeleton pruning by contour partitioning with discrete curve evolution, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 29, no. 3, pp. 449-462, Mar. 2007.
15. D. J. Field, A. Hayes, and R. F. Hess, "Contour integration by the human visual system: Evidence for a local 'association field, "' Vis. Res., vol. 33, no. 2, pp. 173-193, 1993.
16. N. Aronszajn, "Theory of reproducing kernels, " Trans. Amer. Math. Soc., vol. 68, no. 3, pp. 337-404, 1950.
17. A. Rangarajan, H. Chui, and F. L. Bookstein, "The softassign procrustes matching algorithm, " in Information Processing in Medical Imaging. New York, NY, USA: Springer-Verlag, 1997, pp. 29-42.
18. Y. Tsin and T. Kanade, "A correlation-based approach to robust point set registration, " in Proc. 8th Eur. Conf. Comput. Vis., May 2004, pp. 558-569.
19. B. Jian and B. C. Vemuri, "Robust point set registration using Gaussian mixture models, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 33, no. 8, pp. 1633-1645, Aug. 2011.
20. A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm, " J. Roy. Statist. Soc. B, vol. 39, no. 1, pp. 1-38, 1977.
21. D. Mateus, R. Horaud, D. Knossow, F. Cuzzolin, and E. Boyer, "Articulated shape matching using Laplacian eigenfunctions and unsupervised point registration, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Jun. 2008, pp. 1-8.
22. A. Sharma, R. Horaud, and D. Mateus, "3D shape registration using spectral graph embedding and probabilistic matching, " in Image Processing and Analysis With Graphs. New York, NY, USA: CRC Press, 2012, pp. 441-474.
23. S. Belongie, J. Malik, and J. Puzicha, "Shape matching and object recognition using shape contexts, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 24, no. 24, pp. 509-522, Apr. 2002.
24. J.-H. Lee and C.-H. Won, "Topology preserving relaxation labeling for nonrigid point matching, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 33, no. 2, pp. 427-432, Feb. 2011.
25. Z. Tu and A. L. Yuille, "Shape matching and recognition-Using generative models and informative features, " in Proc. 8th Eur. Conf. Comput. Vis., May 2004, pp. 195-209.
26. D. Wassermann, J. Ross, G. Washko, C.-F. Westin, and R. S. Jose-Estepar, "Diffeomorphic point set registration using non-stationary mixture models, " in Proc. IEEE 10th Int. Symp. Biomed. Imag., Apr. 2013, pp. 1042-1045.
27. D. Wassermann, J. Ross, G. Washko, W. M. Wells, and R. S. Jose-Estepar, "Deformable registration of feature-endowed point sets based on tensor fields, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognita Jun. 2014, pp. 2729-2735.
28. J. Ma, J. Zhao, J. Tian, Z. Tu, and A. Yuille, "Robust estimation of nonrigid transformation for point set registration, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Jun. 2013, pp. 2147-2154.
29. J. Ma, W. Qiu, J. Zhao, Y. Ma, A. L. Yuille, and Z. Tu, "Robust L2E estimation of transformation for non-rigid registration, " IEEE Trans. Signal Process., vol. 63, no. 5, pp. 1115-1129, Mar. 2015.
30. J. Zhao, J. Ma, J. Tian, J. Ma, and D. Zhang, "A robust method for vector field learning with application to mismatch removing, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Jun. 2011, pp. 2977-2984.
31. J. Ma, J. Zhao, J. Tian, A. L. Yuille, and Z. Tu, "Robust point matching via vector field consensus, " IEEE Trans. Image Process., vol. 23, no. 4, pp. 1706-1721, Apr. 2014.
32. A. L. Yuille and N. M. Grzywacz, "A computational theory for the perception of coherent visual motion, " Nature, vol. 333, no. 6168, pp. 71-74, 1988.
33. D. G. Lowe, "Distinctive image features from scale-invariant keypoints, " Int. J. Comput. Vis., vol. 60, no. 2, pp. 91-110, 2004.
34. R. B. Rusu, N. Blodow, and M. Beetz, "Fast point feature histograms (FPFH) for 3D registration, " in Proc. IEEE Int. Conf. Robot. Autom., May 2009, pp. 3212-3217.
35. C. M. Bishop, Pattern Recognition and Machine Learning. New York, NY, USA: Springer-Verlag, 2006.
36. A. N. Tikhonov and V. Y. Arsenin, Solutions Ill-Posed Problems. Washington, DC, USA: Winston, 1977.
37. J. Ma, J. Zhao, J. Tian, X. Bai, and Z. Tu, "Regularized vector field learning with sparse approximation for mismatch removal, " Pattern Recognit., vol. 46, no. 12, pp. 3519-3532, 2013.
38. C. A. Micchelli and M. A. Pontil, "On learning vector-valued functions, " Neural Comput., vol. 17, no. 1, pp. 177-204, 2005.
39. R. Rifkin, G. Yeo, and T. Poggio, "Regularized least-squares clas-sification, " in Advances in Learning Theory: Methods, Models and Applications. Cambridge, MA, USA: MIT Press, 2003.
40. V. G. Kim, Y. Lipman, and T. Funkhouser, "Blended intrinsic maps, " ACM Trans. Graph., vol. 30, no. 4, 2011, Art. ID 79.
41. A. M. Bronstein et al., "SHREC 2010: Robust large-scale shape retrieval benchmark, " in Proc. Eurograph. Workshop 3D Object Retr., May 2010, pp. 71-78.
42. Z. Lian et al., "SHREC'11 track: Shape retrieval on non-rigid 3D watertight meshes, " in Proc. Eurograph. Workshop 3D Object Retr., May 2011, pp. 79-88.
43. C. Carmeli, E. De Vito, and A. Toigo, "Vector valued reproducing kernel Hilbert spaces of integrable functions and mercer theorem, " Anal. Appl., vol. 4, no. 4, pp. 377-408, 2006.