Global and local isometry-invariant descriptor for 3D shape comparison and partial matching

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

Volumn , Issue , 2010, Pages 438-445

  Wu, Huai Yu ^a   Zha, Hongbin ^a   Luo, Tao ^a   Wang, Xu Lei ^a   Ma, Songde ^b  

^a Peking University   (China)

^b CASIA ^*  (China)

Author keywords

[No Author keywords available]

Indexed keywords

3-D SHAPE; 3D MODELS; 3D RETRIEVAL; DESCRIPTORS; FEATURE DATA; FEATURE DESCRIPTORS; HIGH QUALITY; HIGH-DIMENSIONAL; LOCAL FEATURE; MEAN VALUES; NON-RIGID; NONUNIFORM; PARTIAL MATCHING; RIGID BODY TRANSFORMATION; SHAPE DESCRIPTORS; SHAPE FEATURES;

COMPUTER VISION; CONTENT BASED RETRIEVAL; HARMONIC ANALYSIS; THREE DIMENSIONAL COMPUTER GRAPHICS;

THREE DIMENSIONAL;

EID: 77956009017     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPR.2010.5540180     Document Type: Conference Paper

References (30)

1. S. Arya, D. M. Mount, N. S. Netanyahu, R. Silverman, and A. Y. Wu. An optimal algorithm for approximate nearest neighbor searching fixed dimensions. Journal of the ACM, 45(6):891-923, 1998.
2. S. Belongie, J. Malik, and J. Puzicha. Shape matching and object recognition using shape contexts. IEEE Trans. PAMI, 24(4):509-522, 2002. (Pubitemid 34448769)
3. A. M. Bronstein, M. M. Bronstein, and R. Kimmel. Rock, paper, and scissors: extrinsic vs. intrinsic similarity of non-rigid shapes. In ICCV, 2007.
4. T. Caelli and S. Kosinov. An eigenspace projection clustering method for inexact graph matching. IEEE Trans. PAMI, 26(4):515-519, 2004.
5. M. Carcassoni and E. R. Hancock. Correspondence matching with modal clusters. PAMI, 25(12):1609-1615, 2003.
6. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. SIGGRAPH, pages 317-324, 1999.
7. A. Elad and R. Kimmel. On bending invariant signatures for surfaces. PAMI, 25(10):1285-1295, 2003.
8. M. S. Floater and K. Hormann. Surface parameterization: a tutorial and survey. Advances in Multiresolution for Geometric Modelling, pages 157-186, 2005.
9. T. A. Funkhouser and P. Shilane. Partial matching of 3D shapes with priority-driven search. In Eurographics Symposium on Geometry Processing, volume 256, pages 131-142, 2006.
10. K. Grauman and T. Darrell. The pyramid match kernel: Efficient learning with sets of features. Journal of Machine Learning Research, 8:725-760, 2007.
11. V. Jain and H. Zhang. A spectral approach to shape-based retrieval of articulated 3D models. Computer-Aided Design, 39(5):398-407, 2007. (Pubitemid 46726287)
12. A. E. Johnson and M. Hebert. Using spin images for efficient object recognition in cluttered 3D scenes. IEEE Trans. PAMI, 21(5):433-449, 1999.
13. B. Lévy. Laplace-beltrami eigenfunctions towards an algorithm that "understands" geometry. In SMI, 2006.
14. Y. Liu, B. Prabhakaran, and X. Guo. A robust spectral approach for blind watermarking of manifold surfaces. In ACM Multimedia & Security Workshop (MMSEC 2008), pages 43-52, 2008.
15. Y. Liu, X.-L. Wang, and H. Zha. Dimension amnesic pyramid match kernel. In AAAI, pages 652-658, 2008.
16. Y. Liu, H. Zha, and H. Qin. Shape topics: A compact representation and new algorithms for 3d partial shape retrieval. In CVPR, pages 2025-2032, 2006.
17. D. Mateus, R. Horaud, D. Knossow, F. Cuzzolin, and E. Boyer. Articulated shape matching using laplacian eigenfunctions and unsupervised point registration. In CVPR, 2008.
18. M. Meyer, M. Desbrun, P. Schr, and A. H. Barr. Discrete differential-geometry operators for triangulated 2-manifolds. Visualization and Mathematics III, pages 35-57, 2003.
19. M. Niethammer, M. Reuter, F.-E. Wolter, S. Bouix, N. Peinecke, M.-S. Koo, and M. E. Shenton. Global medical shape analysis using the laplace-beltrami spectrum. In MICCAI, volume 4791, pages 850-857, 2007.
20. M. Reuter. Hierarchical shape segmentation and registration via topological features of laplace-beltrami eigenfunctions. International Journal of Computer Vision, 2009.
21. M. Reuter, F.-E. Wolter, and N. Peinecke. Laplace-beltrami spectra as 'shape-DNA' of surfaces and solids. Computer-Aided Design, 38(4):342-366, 2006.
22. G. Rong, Y. Cao, and X. Guo. Spectral mesh deformation. The Visual Computer, 24(7-9):787-796, 2008.
23. Y. Rubner, C. Tomasi, and L. J. Guibas. The earth mover's distance as a metric for image retrieval. IJCV, 40(2):99-121, 2000.
24. R. M. Rustamov. Laplace-beltrami eigenfunctions for deformation invariant shape representation. In Eurographics Sym. on Geometry Processing, pages 225-233, 2007.
25. H.-Y. Shum, M. Hebert, and K. Ikeuchi. On 3d shape similarity. In CVPR, pages 526-531, 1996.
26. K. Siddiqi, A. Shokoufandeh, S. Dickinson, and S. Zucker. Shock graphs and shape matching. International Journal of Computer Vision, 35(1):13-32, 1999.
27. B. Vallet and B. Lévy. Spectral geometry processing with manifold harmonics. Eurographics, 2008.
28. H.-Y. Wu, C. Pan, Q. Yang, and S. Ma. Consistent correspondence between arbitrary manifold surfaces. In International Conference on Computer Vision (ICCV), pages 1-8, 2007.
29. H.-Y. Wu, C. Pan, H. Zha, and S. Ma. Model transduction for triangle meshes. Journal of Computer Science and Technology (JCST), Springer, 2010.
30. H. Zhang, O. van Kaick, and R. Dyer. Spectral mesh processing. In Computer Graphics Forum, 2009.