Deformable shape retrieval by learning diffusion kernels

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6667 LNCS, Issue , 2012, Pages 689-700

  Aflalo, Yonathan ^a   Bronstein, Alexander M ^b   Bronstein, Michael M ^c   Kimmel, Ron ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF LUGANO   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL EXAMPLE; DEFORMABLE SHAPES; DIFFUSION DISTANCE; DIFFUSION KERNEL; EIGENVALUES; FOURIER BASIS; FOURIER COEFFICIENTS; FREQUENCY DOMAINS; GEOMETRIC CONSTRUCTION; GEOMETRIC SHAPE; LAPLACE-BELTRAMI OPERATOR; MINIMUM MEAN SQUARED ERROR; OPTIMAL FILTER; PROCESS SIGNALS; SHAPE TRANSFORMATION; SIGNAL DENOISING; TRAINING SETS; WIENER FILTERS;

COMPUTER VISION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER ANALYSIS; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; MEAN SQUARE ERROR; OPTIMIZATION; SIGNAL PROCESSING;

DIFFUSION;

EID: 84855680939     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-24785-9_58     Document Type: Conference Paper

References (19)

1. Bérard, P., Besson, G., Gallot, S.: Embedding riemannian manifolds by their heat kernel. Geometric and Functional Analysis 4(4), 373-398 (1994)
2. Bronstein, A.M., Bronstein, M.M., Bustos, B., Castellani, U., Crisani, M., Falcidieno, B., Guibas, L.J., Sipiran, I., Kokkinos, I., Murino, V., Ovsjanikov, M., Patané, G., Spagnuolo, M., Sun, J.: SHREC 2010: robust feature detection and description benchmark. In: Proc. 3DOR (2010)
3. Bronstein, A.M., Bronstein, M.M., Castellani, U., Falcidieno, B., Fusiello, A., Godil, A., Guibas, L.J., Kokkinos, I., Lian, Z., Ovsjanikov, M., Patané, G., Spagnuolo, M., Toldo, R.: Shrec 2010: robust large-scale shape retrieval benchmark. In: Proc. 3DOR (2010)
4. Bronstein, A.M., Bronstein, M.M., Ovsjanikov, M., Guibas, L.J.: Shape google: a computer vision approach to invariant shape retrieval. In: Proc. NORDIA (2009)
5. Bronstein, M.M., Bronstein, A.M.: Shape recognition with spectral distances. Trans. PAMI (2010) (to appear)
6. Bronstein, M.M., Kokkinos, I.: Scale-invariant heat kernel signatures for non-rigid shape recognition. In: Proc. CVPR (2010)
7. Coifman, R.R., Lafon, S.: Diffusion maps. Applied and Computational Harmonic Analysis 21, 5-30 (2006)
8. Floater, M.S., Hormann, K.: Surface parameterization: a tutorial and survey. In: Advances in Multiresolution for Geometric Modelling, vol. 1 (2005)
9. Lévy, B.: Laplace-Beltrami eigenfunctions towards an algorithm that "understands"geometry. In: Proc. Shape Modeling and Applications (2006)
10. Mahmoudi, M., Sapiro, G.: Three-dimensional point cloud recognition via distributions of geometric distances. Graphical Models 71(1), 22-31 (2009)
11. Mateus, D., Horaud, R.P., Knossow, D., Cuzzolin, F., Boyer, E.: Articulated shape matching using laplacian eigenfunctions and unsupervised point registration. In: Proc. CVPR (June 2008)
12. Meyer, M., Desbrun, M., Schroder, P., Barr, A.H.: Discrete differential-geometry operators for triangulated 2-manifolds. In: Visualization and Mathematics III, pp. 35-57 (2003)
13. Ovsjanikov, M., Sun, J., Guibas, L.J.: Global intrinsic symmetries of shapes. Computer Graphics Forum 27, 1341-1348 (2008)
14. Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Experimental Mathematics 2(1), 15-36 (1993)
15. Reuter, M., Wolter, F.-E., Peinecke N.: Laplace-spectra as fingerprints for shape matching. In: Proc. ACM Symp. Solid and Physical Modeling, pp. 101-106 (2005)
16. Rustamov, R.M.: Laplace-Beltrami eigenfunctions for deformation invariant shape representation. In: Proc. SGP, pp. 225-233 (2007)
17. Spira, A., Sochen, N., Kimmel, R.: Geometric filters, diffusion flows, and kernels in image processing. In: Handbook of Computational Geometry for Pattern Recognition, Computer Vision, Neurocomputing and Robotics. Springer, Heidelberg (2005)
18. Sun, J., Ovsjanikov, M., Guibas, L.J.: A concise and provably informative multiscale signature based on heat diffusion. In: Proc. SGP (2009)
19. Wardetzky, M., Mathur, S., Kälberer, F., Grinspun, E.: Discrete Laplace operators: no free lunch. In: Conf. Computer Graphics and Interactive Techniques (2008)