The wave kernel signature: A quantum mechanical approach to shape analysis

Proceedings of the IEEE International Conference on Computer Vision

Volumn , Issue , 2011, Pages 1626-1633

  Aubry, Mathieu ^a   Schlickewei, Ulrich ^a   Cremers, Daniel ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGEN FREQUENCIES; FEATURE MATCHING; HEAT KERNEL; KERNEL SIGNATURES; NON-RIGID; QUANTITATIVE EXPERIMENTS; QUANTUM MECHANICAL; QUANTUM MECHANICAL PARTICLES; SCALE SEPARATION; SHAPE ANALYSIS; SHAPE MATCHING; SPECIFIC LOCATION; THREE-DIMENSIONAL SHAPE;

IMAGE PROCESSING;

QUANTUM THEORY;

EID: 84856637531     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCVW.2011.6130444     Document Type: Conference Paper

References (28)

1. M. Aubry, U. Schlickewei, and D. Cremers. Pose-consistent 3d shape segmentation based on a quantum mechanical feature descriptor. In R. Mester and M. Felsberg, editors, Proc. 33rd DAGM Symposium, LNCS, Frankfurt, Germany, 2011. Springer.
2. M. Aubry, U. Schlickewei, and D. Cremers. The wave kernel signature:a quantum mechanical approach to shape analysis. In Technical report, TU M̈unchen, Germany, 2011.
3. S. Belongie, J. Malik, and J. Puzicha. Shape context: A new descriptor for shape matching and object recognition. In Proc. Neural Information Processing Systems, 2000.
4. P. B́erard, G. Besson, and S. Gallot. Embedding Riemannian manifolds by their heat kernel. Geometric and Functional Analysis, 4(4):373-398, 1994.
5. A. Bronstein, M. Bronstein, B. Bustos, U. Castellani, M. Crisani, B. Falcidieno, L. Guibas, I. Kokkinos, V. Murino, M. Ovsjanikov, et al. SHREC 2010: robust feature detection and description benchmark. Proc. 3DOR, 2010.
6. A. Bronstein, 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.
7. M. Bronstein and I. Kokkinos. Scale-invariant heat kernel signatures for non-rigid shape recognition. In Proc. International Conference on Computer Vision and Pattern Recognition, pages 1704-1711. IEEE, 2010.
8. R. Gal and D. Cohen-Or. Salient geometric features for partial shape matching and similarity. Transactions on Graphics (TOG), 25(1):130-150, 2006.
9. K. Gebal, J. Bærentzen, H. Aanæs, and R. Larsen. Shape analysis using the auto diffusion function. Computer Graphics Forum, 28(5):1405-1413, 2009.
10. L. Gorelick, M. Galun, E. Sharon, R. Basri, and A. Brandt. Shape representation and classification using the poisson equation. IEEE PAMI, pages 1991-2005, 2006.
11. M. Hilaga, Y. Shinagawa, T. Kohmura, and T. Kunii. Topology matching for fully automatic similarity estimation of 3D shapes. In Proc. annual conference on Computer graphics and interactive techniques, pages 203-212. ACM, 2001.
12. A. Johnson and M. Hebert. Using spin images for efficient object recognition in cluttered 3D scenes. IEEE PAMI, 21(5):433-449, 2002.
13. B. Ĺevy. Laplace-Beltrami Eigenfunctions Towards an Algorithm That. In Proc. Int. Conf. on Shape Modeling and Applications, page 13. IEEE, 2006.
14. X. Li and I. Guskov. Multi-scale features for approximate alignment of point-based surfaces. In SGP, page 217. Eurographics, 2005.
15. H. Ling and D. Jacobs. Shape classification using the innerdistance. IEEE PAMI, pages 286-299, 2007.
16. Y. Lipman and I. Daubechies. Surface Comparison with Mass Transportation. Arxiv preprint arXiv:0912. 3488, 2009.
17. Y. Lipman and T. Funkhouser. M̈obius voting for surface correspondence. Transactions on Graphics (TOG), 28(3):1-12, 2009.
18. R. Liu, H. Zhang, A. Shamir, and D. Cohen-Or. A Part-aware Surface Metric for Shape Analysis. Computer Graphics Forum, 28(2):397-406, 2009.
19. S. Manay, D. Cremers, B.-W. Hong, A. Yezzi, and S. Soatto. Integral invariants for shape matching. IEEE PAMI, 28(10):1602-1618, 2006.
20. R. Osada, T. Funkhouser, B. Chazelle, and D. Dobkin. Shape distributions. Transactions on Graphics (TOG), 21(4):807-832, 2002.
21. M. Ovsjanikov, A. Bronstein, M. Bronstein, and L. Guibas. Shape Google: a computer vision approach to invariant shape retrieval. Proc. NORDIA, 1(2), 2009.
22. F. Rellich. Sẗorungstheorie der Spektralzerlegung. Mathematische Annalen, 113:600-619, 1937.
23. R. Rustamov. Laplace-Beltrami eigenfunctions for deformation invariant shape representation. In SGP, pages 225-233. Eurographics, 2007.
24. E. Schr̈odinger. Die gegenẅartige Situation in der Quantenmechanik. In Naturwissenschaften, 1935.
25. J. Sun, M. Ovsjanikov, and L. Guibas. A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion. Computer Graphics Forum, 28(5):1383-1392, 2009.
26. S. Tari and J. Shah. Nested Local Symmetry Set* 1. Computer Vision and Image Understanding, 79(2):267-280, 2000.
27. Z. Tari, J. Shah, and H. Pien. Extraction of shape skeletons from grayscale images. Computer Vision and Image Understanding, 66(2):133-146, 1997.
28. D. Vlasic, I. Baran, W. Matusik, and J. Popovíc. Articulated mesh animation from multi-view silhouettes. In ACM SIGGRAPH 2008 papers, pages 1-9. ACM, 2008.