Fast nonrigid 3D retrieval using modal space transform

ICMR 2013 - Proceedings of the 3rd ACM International Conference on Multimedia Retrieval

Volumn , Issue , 2013, Pages 121-126

  Ye, Jianbo ^a   Yan, Zhicheng ^b   Yu, Yizhou ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

biharmonic distance; content based object retrieval; functional map; shape retrieval; shape signature

Indexed keywords

BI-HARMONIC; FUNCTIONAL REPRESENTATION; INTEGRAL KERNEL; NON-RIGID OBJECTS; OBJECT RETRIEVAL; SHAPE RETRIEVAL; SHAPE SIGNATURES; SHAPE SIMILARITY;

MODAL ANALYSIS;

CONTENT BASED RETRIEVAL;

EID: 84877597771     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2461466.2461488     Document Type: Conference Paper

References (26)

1. A.Y. Alfakih. On the eigenvalues of euclidean distance matrices. Computational and Applied Mathematics, 27(3):237-250, 2008.
2. W.E. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quart. Appl. Math, 9(1):17-29, 1951.
3. M. Attene and B. Falcidieno. Remesh: An interactive environment to edit and repair triangle meshes. In Shape Modeling and Applications, 2006. SMI 2006. IEEE International Conference on, pages 41-41. IEEE, 2006.
4. A.M. Bronstein, M.M. Bronstein, L.J. Guibas, and M. Ovsjanikov. Shape google: geometric words and expressions for invariant shape retrieval. ACM Transactions on Graphics (TOG), 30(1):1, 2011.
5. A.M. Bronstein, M.M. Bronstein, R. Kimmel, M. Mahmoudi, and G. Sapiro. A gromov-hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching. International Journal of Computer Vision, 89(2):266-286, 2010.
6. Michael Bronstein and Iasonas Kokkinos. Scale-invariance in local heat kernel descriptors without scale selection and normalization, 2009.
7. P. Cignoni, M. Corsini, and G. Ranzuglia. Meshlab: an open-source 3d mesh processing system. ERCIM News, 73:45-46, 2008.
8. A. Elad and R. Kimmel. Bending invariant representations for surfaces. In Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on, volume 1, pages I-168. IEEE, 2001.
9. Z. Lian, A. Godil, B. Bustos, M. Daoudi, J. Hermans, S. Kawamura, Y. Kurita, G. Lavoué, H. V. Nguyen, R. Ohbuchi, Y. Ohkita, Y. Ohishi, F. Porikli, M. Reuter, I. Sipiran, D. Smeets, P. Suetens, H. Tabia, and D. Vandermeulen. SHREC '11 Track: Shape Retrieval on Non-rigid 3D Watertight Meshes. pages 79-88.
10. Y. Lipman, R. M. Rustamov, and T. A. Funkhouser. Biharmonic distance. ACM Transactions on Graphics, ACM 0730-0301//10-ART, 2007.
11. D.G. Lowe. Distinctive image features from scale-invariant keypoints. International journal of computer vision, 60(2):91-110, 2004.
12. C. Maes, T. Fabry, J. Keustermans, D. Smeets, P. Suetens, and D. Vandermeulen. Feature detection on 3d face surfaces for pose normalisation and recognition. In Biometrics: Theory Applications and Systems (BTAS), 2010 Fourth IEEE International Conference on, pages 1-6. IEEE, 2010.
13. M. Ovsjanikov, M. Ben-Chen, J. Solomon, A. Butscher, and L. Guibas. Functional maps: A flexible representation of maps between shapes. ACM Transactions on Graphics (TOG), 31(4):30, 2012.
14. M. Ovsjanikov, A.M. Bronstein, M.M. Bronstein, and L.J. Guibas. Shape google: a computer vision approach to isometry invariant shape retrieval. In Computer Vision Workshops (ICCV Workshops), 2009 IEEE 12th International Conference on, pages 320-327. IEEE, 2009.
15. Gabriel Peyré and Laurent D. Cohen. Heuristically driven front propagation for fast geodesic extraction. Intl. Journal for Computational Vision and Biomechanics 1(1), pages 55-67, 2009.
16. Martin Reuter. Hierarchical shape segmentation and registration via topological features of laplace-beltrami eigenfunctions. International Journal of Computer Vision, 89(2):287-308, 2010.
17. Martin Reuter, Franz-Erich Wolter, and Niklas Peinecke. Laplace-beltrami spectra as 'shape-DNA' of surfaces and solids. Computer-Aided Design, 38(4):342-366, 2006.
18. R.M. Rustamov. Laplace-beltrami eigenfunctions for deformation invariant shape representation. In Proceedings of the fifth Eurographics symposium on Geometry processing, pages 225-233. Eurographics Association, 2007.
19. Philip Shilane, Patrick Min, Michael M. Kazhdan, and Thomas A. Funkhouser. The princeton shape benchmark. In Shape Modeling International, pages 167-178. IEEE Computer Society, 2004.
20. Dirk Smeets, Thomas Fabry, Jeroen Hermans, Dirk Vandermeulen, and Paul Suetens. Isometric deformation modelling for object recognition. CAIP 2009, LNCS 5702, pages 757-765, 2009.
21. G. W. Stewart. A Krylov-Schur algorithm for large eigenproblems. SIAM Journal on Matrix Analysis and Applications, 23(3):601-614, 2001.
22. Jian Sun, Maks Ovsjanikov, and Leonidas J. Guibas. A concise and provably informative multi-scale signature based on heat diffusion. Comput. Graph. Forum, 28(5):1383-1392, 2009.
23. H. Sundar, D. Silver, N. Gagvani, and S. Dickinson. Skeleton based shape matching and retrieval. In Shape Modeling International, 2003, pages 130-139. IEEE, 2003.
24. Vitaly Surazhsky, Tatiana Surazhsky, Danil Kirsanov, Steven J. Gortler, and Hugues Hoppe. Fast exact and approximate geodesics on meshes. ACM Transactions on Graphics, 24(3):553-560, July 2005.
25. A. Zaharescu, E. Boyer, K. Varanasi, and R. Horaud. Surface feature detection and description with applications to mesh matching. In Computer Vision and Pattern Recognition, 2009. CVPR 2009. IEEE Conference on, pages 373-380. Ieee, 2009.
26. OC Zienkiewicz, RL Taylor, and JZ Zhu. The Finite Element Method-Its Basis and Fundamentals, volume 1. Elsevier Butterworth-Heinemann, Amsterdam, London., 2005.