Nonlocal variational model and filter algorithm to remove multiplicative noise

Optical Engineering

Volumn 49, Issue 7, 2010, Pages

  Chen, Dai Qiang ^a   Zhang, Hui ^a   Cheng, Li Zhi ^a  

^a NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

Alternating minimization; Multiplicative noise; Nonlocal method; Total variational model

Indexed keywords

ALTERNATING MINIMIZATION; CONDITIONAL MEANS; FILTER ALGORITHM; GAUSS NOISE; IMAGE DE-NOISING; MULTIPLICATIVE NOISE; MULTISCALE MODELS; NONLOCAL; PEAK SIGNAL-TO-NOISE RATIO; REDUNDANCY INFORMATION; VARIATIONAL MODELS;

IMAGE PROCESSING; OPTIMIZATION; PHASE NOISE; SIGNAL TO NOISE RATIO;

ALGORITHMS;

EID: 77955186714     PISSN: 00913286     EISSN: 15602303     Source Type: Journal    
DOI: 10.1117/1.3463019     Document Type: Article

References (22)

1. S. C. Zhu, Y. Wu, and D. Mumford, "Filters, random fields and maximum entropy (frame(: towards a unified theory for texture modeling," Int. J. Comput. Vis. 27(2), 107-126 (1998).
2. A. K. Katsaggelos, Digital Image Restoration, Springer-Verlag, New York (1991).
3. D. Donoho and I. Johnstone, "Ideal spatial adaptation via wavelet shrinkage," Biometrika 81, 425-455 (1994).
4. L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D 60, 259-268 (1992).
5. J. Weickert, Anisotropic Diffusion in Image Processing, Teubner- Verlag, Stuttgart (1998).
6. S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin, "An iterative regularization method for total variation based image restoration," SIAM J. Multiscale Model. Simul. 4, 460-489 (2005).
7. M. Burger, G. Gilboa, S. Osher, and J. Xu, "Nonlinear inverse scale space methods," Commun. Math. Sci. 4, 179-212 (2006).
8. A. Buades, B. Coll, and J.-M. Morel, "On image denoising methods," SIAM Multiscale Model. Simul. 4(2), 490-530 (2005).
9. S. Kindermann, S. Osher, and P. W. Jones, "Deblurring and denoising of images by nonlocal functionals," SIAM Multiscale Model. Simul 4(4), 1091-1115 (2005).
10. G. Gilboa and S. Osher, "Nonlocal linear image regularization and supervised segmentation," SIAM Multiscale Model. Simul. 6(2), 595-630 (2007).
11. G. Gilboa and S. Osher, "Nonlocal operators with applications to image processing," Multiscale Model. Simul. 7(3), 1005-1028 (2008).
12. L. I. Rudin, P.-L. Lions, and S. Osher, "Multiplicative denoising and deblurring: theory and algorithms," Chapter 6 in Geometric Level Set Methods in Imaging, Vision, and Graphics, S. Osher and N. Paragios, Eds. pp. 103-120, Springer-Verlag, New York (2003).
13. J. Shi and S. Osher, "A nonlinear inverse scale space method for a convex multiplicative noise model," SIAM J. Imaging Sci. 1(3), 294-321 (2008).
14. G. Aubert and J. Aujol, "A variational approach to remove multiplicative noise," SIAM J. Appl. Math. 68, 925-946 (2008).
15. Y. Huang, M. Ng, and Y. Wen, "A new toal variation method for multiplicative noise removal," SIAM J. Imaging Sci. 2(1), 20-40 (2009).
16. S. Bougleux, A. Elmoataz, and M. Melkemi, "Discrete regularization on weighted graphs for image and mesh filtering," in Proc. 1st Int Conf. on Scale Space and Variational Methods in Computer Vision, Ischia, Italy, pp. 128-139, Springer, Berlin/Heidelberg (2007).
17. D. Zhou and B. Scholkopf, "Regularization on discrete spaces," in Pattern Recognition, Proc. of 27th DAGM Symp., Vienna, pp. 361- 368, Springer, Berlin (2005).
18. I. Daubechies, R. DeVore, M. Fornasier, and S. Gunturk, "Iteratively re-weighted least squares minimization for sparse recovery," Commun Pure Appl. Math. 63(1), 1-38 (2010).
19. S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, New York (2004).
20. F. Clarke, Optimization and Nonsmooth Analysis, Wiley, Hoboken, NJ (1983).
21. Y. Wang, J. Yang, W. Yin, and Y. Zhang, "A new alternating minimization algorithm for total variation image reconstruction," SIAM J Imaging Sci. 1(3), 248-272 (2008).
22. J. Yang, W. Yin, Y. Zhang, and Y. Wang, "A fast algorithm for edgepreserving variational multichannel image restoration," SIAM J. Imaging Sci. 2(2), 569-592 (2008).