Bilateral filter: Graph spectral interpretation and extensions

2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings

Volumn , Issue , 2013, Pages 1222-1226

  Gadde, Akshay ^a   Narang, Sunil K ^a   Ortega, Antonio ^a  

^a University of Southern California   (United States)

Author keywords

Bilateral filter; graph based signal processing; polynomial approximation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRAPHIC METHODS; IMAGE PROCESSING; LAPLACE TRANSFORMS; MATRIX ALGEBRA; NONLINEAR FILTERING; POLYNOMIAL APPROXIMATION;

BILATERAL FILTERING; BILATERAL FILTERS; DIAGONALIZATIONS; EIGENVALUES AND EIGENVECTORS; GRAPH-BASED; INTENSITY VALUES; LAPLACIAN MATRICES; SPECTRAL INTERPRETATION;

GRAPH STRUCTURES;

EID: 84897803538     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2013.6738252     Document Type: Conference Paper

References (24)

1. C. Tomasi and R. Manduchi, "Bilateral filtering for gray and color images, " in Sixth International Conference on Computer Vision, Jan 1998, pp. 839-846.
2. S. Paris, P. Kornprobst, J. Tumblin, and F. Durand, "Bilateral filtering. Theory and applications, " Foundations and Trends in Computer Graphics and Vision, vol. 4, no. 1, 2009.
3. Ming Zhang and B. K. Gunturk, "Multiresolution bilateral filtering for image denoising, " Image Processing, IEEE Transactions on, vol. 17, no. 12, pp. 2324-2333, Dec 2008.
4. R. Fattal, M. Agrawala, and S. Rusinkiewicz, "Multiscale shape and detail enhancement from multi-light image collections, " ACM Trans. Graph., vol. 26, no. 3, 2007.
5. F. Durand and J. Dorsey, "Fast bilateral filtering for the display of high-dynamic-range images, " ACM Trans. Graph., vol. 21, no. 3, pp. 257-266, July 2002.
6. C. Ye, Y. Lin, M. Song, C. Chen, and D. Jacobs, "Spectral graph cut from a filtering point of view, " arXiv:1205.4450v2 [cs.CV], 2012.
7. M. Elad, "On the origin of the bilateral filter and ways to improve it, " IEEE Transactions on Image Processing, vol. 11, no. 10, pp. 1141-1151, Oct 2002.
8. D. Barash, "Fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation, " IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 24, no. 6, pp. 844-847, 2002.
9. P. Milanfar, "A tour of modern image filtering. New insights and methods, both practical and theoretical, " IEEE Signal Processing Magazine, vol. 30, no. 1, pp. 106-128, Jan. 2013.
10. A. Singer, Y. Shkolnisky, and B. Nadler, "Diffusion interpretation of nonlocal neighborhood filters for signal denoising, " SIAM Journal on Imaging Sciences, vol. 2, no. 1, pp. 118-139, 2009.
11. A. Buades, B. Coll, and J.M. Morel, "A review of image denoising algorithms, with a new one, " Multiscale Modeling &Simulation, vol. 4, no. 2, pp. 490-530, 2005.
12. G. Peyŕe, "Image processing with nonlocal spectral bases, " SIAM Journal on Multiscale Modeling and Simulation, vol. 7, no. 2, pp. 703-730, 2008.
13. G. Noel, K. Djouani, B. Van Wyk, and Y. Hamam, "Bilateral mesh filtering, " Pattern Recognition Letters, vol. 33, no. 9, pp. 1101-1107, 2012.
14. C. Jian, K. Inoue, K. Hara, and K. Urahama, "Fixed-coefficient iterative bilateral filters for graph-based image processing, " in Advances in Image and Video Technology, vol. 5414 of Lecture Notes in Computer Science, pp. 473-484. Springer, 2009.
15. D. Hammond, P. Vandergheynst, and R. Gribonval, "Wavelets on graphs via spectral graph theory, " Applied and Computational Harmonic Analysis, vol. 30, no. 2, pp. 129-150, 2011.
16. S.K. Narang and A. Ortega, "Perfect reconstruction twochannel wavelet filter banks for graph structured data, " IEEE Transactions on Signal Processing, vol. 60, no. 6, pp. 2786-2799, June 2012.
17. D. Shuman, S. Narang, P. Frossard, A. Ortega, and P. Vandergheynst, "Signal processing on graphs. Extending highdimensional data analysis to networks and other irregular data domains, " to appear in IEEE Signal Processing Magazine, 2013.
18. A. Sandryhaila and J. M. F. Moura, "Discrete signal processing on graphs, " arXiv:1210.4752v2 [cs.SI], 2012.
19. E.B. Davies, G.M.L. Gladwell, J. Leydold, and P.F. Stadler, "Discrete nodal domain theorems, " Linear Algebra and its Applications, vol. 336, no. 1, pp. 51-60, 2001.
20. F.R.K. Chung, Spectral graph theory, vol. 92, CBMS Regional Conference Series in Mathematics, AMS, 1997.
21. S.K. Narang and A. Ortega, "Compact support biorthogonal wavelet filterbanks for arbitrary undirected graphs, " arXiv:1210.8129 [cs.IT], 2012.
22. A. Smola and R. Kondor, "Kernels and regularization on graphs, " in Proceedings of the Annual Conference on Computational Learning Theory. 2003, Lecture Notes in Computer Science, Springer.
23. D. Zhou and B. Scḧolkopf, "A regularization framework for learning from graph data, " in ICML Workshop on Statistical Relational Learning, 2004, pp. 132-137.
24. J. Shi and J. Malik, "Normalized cuts and image segmentation, " IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 22, no. 8, pp. 888-905, Aug 2000.