A multiresolution descriptor for deformable 3D shape retrieval

Visual Computer

Volumn 29, Issue 6-8, 2013, Pages 513-524

  Li, Chunyuan ^a   Ben Hamza, A ^a  

^a Concordia University ^*  (Canada)

Author keywords

Laplace Beltrami; Multiresolution; Shape retrieval; Spectral graph wavelet

Indexed keywords

BENCHMARKING;

3D SHAPE ANALYSIS; 3D SHAPE RETRIEVAL; GRAPH WAVELETS; LAPLACE-BELTRAMI; MULTIRESOLUTION; RETRIEVAL ACCURACY; SHAPE RETRIEVAL; STATE-OF-THE-ART METHODS;

ECONOMIC AND SOCIAL EFFECTS;

EID: 84879502621     PISSN: 01782789     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00371-013-0815-3     Document Type: Conference Paper

References (29)

1. Yang, Y.; Lin, H.; Zhang, Y.: Content-based 3-D model retrieval: a survey. IEEE Trans. Syst. Man Cybern.; Part C, Appl. Rev. 37(6), 1081-1098 (2007) (Pubitemid 350130705)
2. Tangelder, J.; Veltkamp, R.: A survey of content based 3D shape retrieval methods. Multimed. Tools Appl. 39(3), 441-471 (2008)
3. Shilane, P.; Min, P.; Kazhdan, M.; Funkhouser, T.: The Princeton shape benchmark. In: Proc. Shape Modeling International, pp. 167-178 (2004)
4. Lian, Z.; Godil, A.; Bustos, B.; Daoudi, M.; Hermans, J.; Kawamura, S.; Kurita, Y.; Lavoue, G.; Nguyen, H.; Ohbuchi, R.; Ohkita, Y.; Ohishi, Y.; Porikli, F.; Reuter, M.; Sipiran, I.; Smeets, D.; Suetens, P.; Tabia, H.; Vandermeulen, D.: SHREC'11 track: shape retrieval on non-rigid 3D watertight meshes. In: Proc. Eurographics Symp. 3D Object Retrieval, pp. 79-88 (2011)
5. Li, B.; Godil, A.; Aono, M.; Bai, X.; Furuya, T.; Li, L.; López-Sastre, R.; Johan, H.; Ohbuchi, R.; Redondo-Cabrera, C.; Tatsuma, A.; Yanagimachi, T.; Zhang, S.: SHREC'12 track: generic 3D shape retrieval. In: Proc. Eurographics Conf. 3D Object Retrieval, pp. 119-126 (2012)
6. Lian, Z.; Godil, A.; Bustos, B.; Daoudi, M.; Hermans, J.; Kawamura, S.; Kurita, Y.; Lavoué, G.; Nguyen, H.V.; Ohbuchi, R.; Ohkita, Y.; Ohishi, Y.; Porikli, F.; Reuter, M.; Sipiran, I.; Smeets, D.; Suetens, P.; Tabia, H.; Vandermeulen, D.: A comparison of methods for non-rigid 3D shape retrieval. Pattern Recognit. 46(1), 449-461 (2013)
7. Belkin, M.; Niyogi, P.; Sindhwani, V.: Manifold regularization: a geometric framework for learning from labeled and unlabeled examples. J. Mach. Learn. Res. 7, 2399-2434 (2006) (Pubitemid 44708005)
8. Lévy, B.: Laplace-Beltrami eigenfunctions: towards an algorithm that "understands" geometry. In: Proc. IEEE Int. Conf. Shape Modeling and Applications, p. 13 (2006) (Pubitemid 44889044)
9. Reuter, M.; Wolter, F.; Peinecke, N.: Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids. Comput. Aided Des. 38(4), 342-366 (2006)
10. Reuter, M.: Hierarchical shape segmentation and registration via topological features of Laplace-Beltrami eigenfunctions. Int. J. Comput. Vis. 89(2), 287-308 (2010)
11. Rustamov, R.: Laplace-Beltrami eigenfunctions for deformation invariant shape representation. In: Proc. Symposium on Geometry Processing, pp. 225-233 (2007)
12. Bronstein, A.; Bronstein, M.; Guibas, L.; Ovsjanikov, M.: Shape Google: geometric words and expressions for invariant shape retrieval. ACM Trans. Graph. 30(1), 1-20 (2011)
13. Kazhdan, M.; Funkhouser, T.; Rusinkiewicz, S.: Rotation invariant spherical harmonic representation of 3D shape descriptors. In: Proc. Eurographics Sympo. Geometry Processing, pp. 156-164 (2003)
14. Sun, J.; Ovsjanikov, M.; Guibas, L.: A concise and provably informative multi-scale signature based on heat diffusion. Comput. Graph. Forum 28(5), 1383-1392 (2009)
15. Gȩbal, K.; Bærentzen, J.A.; Aanæs, H.; Larsen, R.: Shape analysis using the auto diffusion function. Comput. Graph. Forum 28(5), 1405-1513 (2009)
16. Kokkinos, I.; Bronstein, M.; Litman, R.; Bronstein, A.: Intrinsic shape context descriptors for deformable shapes. In: Proc. Computer Vision and Pattern Recognition, pp. 159-166 (2012)
17. Aubry, M.; Schlickewei, U.; Cremers, D.: The wave kernel signature: a quantum mechanical approach to shape analysis. In: Proc. Computational Methods for the Innovative Design of Electrical Devices, pp. 1626-1633 (2011)
18. Bronstein, A.: Spectral descriptors for deformable shapes. CoRR abs/1110.5015 (2011)
19. Mallat, S.: A Wavelet Tour of Signal Processing: The Sparse Way. Academic Press, San Diego (2008)
20. Coifman, R.; Lafon, S.: Diffusion maps. Appl. Comput. Harmon. Anal. 21(1), 5-30 (2006) (Pubitemid 43947619)
21. Hammond, D.; Vandergheynst, P.; Gribonval, R.: Wavelets on graphs via spectral graph theory. Appl. Comput. Harmon. Anal. 30(2), 129-150 (2011)
22. Kim, W.; Pachauri, D.; Hatt, C.; Chung, M.; Johnson, S.; Singh, V.: Wavelet based multi-scale shape features on arbitrary surfaces for cortical thickness discrimination. In: Proc. NIPS, pp. 1135-1143 (2012)
23. Rosenberg, S.: The Laplacian on a Riemannian Manifold. Cambridge University Press, Cambridge (1997)
24. Bronstein, A.; Bronstein, M.; Kimmel, R.: Numerical Geometry of Non-Rigid Shapes. Springer, Berlin (2008)
25. Meyer, M.; Desbrun, M.; Schröder, P.; Barr, A.: Discrete differential-geometry operators for triangulated 2-manifolds. Vis. Math. III 3(7), 35-57 (2003)
26. Wardetzky, M.; Mathur, S.; Kälberer, F.; Grinspun, E.: Discrete Laplace operators: no free lunch. In: Proc. Eurographics Sympo. Geometry Processing, pp. 33-37 (2007)
27. Lian, Z.; Godil, A.; Fabry, T.; Furuya, T.; Hermans, J.; Ohbuchi, R.; Shu, C.; Smeets, D.; Suetens, P.; Vandermeulen, D.; Wuhrer, S.: SHREC'10 track: non-rigid 3D shape retrieval. In: Proc. Eurographics Sympo. 3D Object Retrieval, pp. 101-108 (2010)
28. Lazebnik, S.; Schmid, C.; Ponce, J.: Beyond bags of features: spatial pyramid matching for recognizing natural scene categories. In: Proc. CVPR, vol. 2, pp. 2169-2178 (2006) (Pubitemid 44931582)
29. Järvelin, K.; Kekäläinen, J.: IR evaluation methods for retrieving highly relevant documents. In: Proc. SIGIR, pp. 41-48 (2000)