A new 3D-matching method of nonrigid and partially similar models using curve analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 33, Issue 4, 2011, Pages 852-858

  Tabia, Hedi ^a   Daoudi, Mohamed ^a   Vandeborre, Jean Philippe ^a   Colot, Olivier ^a  

^a UNIV LILLE   (France)

Author keywords

3D shape matching; belief functions; curves analysis; feature points.

Indexed keywords

3D MODELS; 3D OBJECT; BELIEF FUNCTION; BELIEF FUNCTIONS; CLOSED CURVE; CURVE ANALYSIS; CURVES ANALYSIS; D-SHAPE; DATA SETS; FEATURE POINT; FEATURE POINTS.; MATCHING METHODS; NON-RIGID TRANSFORMATION; SHAPE ANALYSIS; SIMILAR MODELS;

CONTENT BASED RETRIEVAL; THREE DIMENSIONAL COMPUTER GRAPHICS; UNCERTAINTY ANALYSIS;

THREE DIMENSIONAL;

ALGORITHM; ARTICLE; IMAGE ENHANCEMENT; METHODOLOGY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGING, THREE-DIMENSIONAL;

EID: 79951941053     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2010.202     Document Type: Article

References (28)

1. G. Antini, S. Berretti, A. Del Bimbo, and P. Pala, "Retrieval of 3D Objects Using Curvature Correlograms," Proc. IEEE Int'l Conf. Multimedia and Expo, 2005.
2. T. Filali Ansary, M. Daoudi, and J.-P. Vandeborre, "A Bayesian 3D Search Engine Using Adaptive Views Clustering," IEEE Tr (Pubitemid 46103852)
3. R. Gal, A. Shamir, and D. Cohen-Or, "Pose Oblivious Shape Signature," IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 2, pp. 261-271, Mar./Apr. 2007.
4. M. Hilaga, Y. Shinagawa, T. Kohmura, and T. Kunii, "Topology Matching for Fully Automatic Similarity Estimation of 3D Shapes," Proc. ACM SIGGRAPH, pp. 203-212, 2001. (Pubitemid 33047305)
5. D. Aouada, D.-W. Dreisigmeyer, and H. Krim, "Geometric Modeling of Rigid and Non-Rigid 3D Shapes Using the Global Geodesic Function," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition Workshops, 2008.
6. J. Tierny, J.-P. Vandeborre, and M. Daoudi, "Partial 3D Shape Retrieval by Reeb Pattern Unfolding," Computer Graphics Forum, vol. 28, pp. 41-55, 2009.
7. Y. Liu, H. Zha, and H. Qin, "Shape Topics: A Compact Representation and New Algorithms for 3D Partial Shape Retrieval," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, 2006.
8. A. Bronstein, M. Bronstein, A. Bruckstein, and R. Kimmel, "Partial Similarity of Objects, or How to Compare a Centaur to a Horse," Int'l J. Computer Vision, vol. 84, no. 2, pp. 163-183, 2008.
9. S. Jahanbin, H. Choi, Y. Liu, and A.-C. Bovik, "Three Dimensional Face Recognition Using Iso-Geodesic and Iso-Depth Curves," Proc. Second IEEE Int'l Conf. Biometrics: Theory, Applications and Systems, 2008.
10. C. Samir, A. Srivastava, M. Daoudi, and E. Klassen, "An Intrinsic Framework for Analysis of Facial Surfaces," Int'l J. Computer Vision, vol. 82, pp. 80-95, 2009.
11. M. Mortara and G. Patanè, "Affine-Invariant Skeleton of 3D Shapes," Proc. Int'l Conf. Shape Modeling and Applications, pp. 245-252, 2002.
12. S. Katz, G. Leifman, and A. Tal, "Mesh Segmentation Using Feature Point and Core Extraction," The Visual Computer, vol. 25, pp. 865-875, 2005.
13. K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, "Loops in Reeb Graphs of 2-Manifolds," Proc. 19th Ann. Symp. Computational Geometry, pp. 344-350, 2003.
14. X. Li, Y. He, X. Gu, and H. Qin, "Curves-On-Surface: A General Shape Comparison Framework," Proc. IEEE Int'l Conf. Shape Modeling and Applications, 2006.
15. Y. Laurent, "Computable Elastic Distance between Shapes," SIAM J. Applied Math., vol. 58, pp. 565-586, 1998.
16. P.W. Michor and D. Mumford, "Riemannian Geometries on Spaces of Plane Curves," J. European Math. Soc., vol. 8, pp. 1-48, 2006. (Pubitemid 43169774)
17. S. Joshi, E. Klassen, A. Srivastava, and I. Jermyn, "Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves," Proc. Sixth Int'l Conf. Energy Minimization Methods in Computer Vision and Pattern Recognition, pp. 387-398, 2007.
18. A.-J. Yezzi and A. Mennucci, "Conformal Metrics and True "Gradient Flows" for Curves," Proc. 10th IEEE Int'l Conf. Computer Vision, vol. 1, pp. 913-919, 2005. (Pubitemid 44055053)
19. E. Klassen, A. Srivastava, "Geodesics between 3D Closed Curves Using Path-Straightening," Proc. Ninth European Conf. Computer Vision, pp. 95-106, 2006. (Pubitemid 44029771)
20. P. Smets and R. Kennes, "The Transferable Belief Model," Artificial Intelligence, vol. 66, pp. 191-234, 1994.
21. G. Shafer, A Mathematical Theory of Evidence. Princeton Univ. Press, 1976.
22. A. Bronstein, M. Bronstein, and R. Kimmel, "Efficient Computation of Isometry-Invariant Distances between Surfaces," SIAM J. Scientific Computing, vol. 28, pp. 1812-1836, 2006. (Pubitemid 47457329)
23. S. Marini, L. Paraboschi, and S. Biasotti, "Shape Retrieval Contest 2007: Partial Matching Track," Proc. SHREC in Conjunction with Proc. Int'l Conf. Shape Modeling and Applications, pp. 13-16, 2007.
24. D. Saupe and D. Vranic, "3D Model Retrieval with Spherical Harmonics and Moments," Pattern Recognition, Springer, pp. 392-397, 2001. (Pubitemid 33347138)
25. D. Vranic, "3D Model Retrieval," PhD dissertation, Univ. of Leipzig, May 2004.
26. R. Osada, T. Funkhouser, B. Chazelle, and D. Dobkin, "Shape Distributions," ACM Trans. Graphics, vol. 21, no. 4, pp. 807-832, 2002.
27. A. Bronstein, M. Bronstein, M. Mahmoudi, R. Kimmel, and G. Sapiro, "A Gromov-Hausdorff Framework with Diffusion Geometry for Topologi-cally-Robust Non-rigid Shape Matching," Int'l J. Computer Vision, vol. 89, pp. 266-286, 2010.
28. A. Gil, O.M. Mozos, M. Ballesta, and O. Reinoso, "A Comparative Evaluation of Interest Point Detectors and Local Descriptors for Visual Slam," Machine Vision and Applications, vol. 21, pp. 905-920, 2009.