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A new reweighted minimization algorithm for image deblurring
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  • 作者:Tiantian Qiao (5) (6)
    Boying Wu (6)
    Weiguo Li (5)
    Alun Dong (5)

    5. College of Science
    ; China University of Petroleum ; Changjiangxi Road 66 ; Qingdao ; 266580 ; P.R. China
    6. Department of Mathematics
    ; Harbin Institute of Technology ; West Dazhi Street 92 ; Haerbin ; 150001 ; P.R. China
  • 关键词:reweighted minimization ; generalized inverse ; linearized Bregman iteration ; image deblurring
  • 刊名:Journal of Inequalities and Applications
  • 出版年:2014
  • 出版时间:December 2014
  • 年:2014
  • 卷:2014
  • 期:1
  • 全文大小:359 KB
  • 参考文献:1. Chan, TF, Shen, J (2005) Image Processing and Analysis. SIAM, Philadelphia CrossRef
    2. Aubert, G, Kornprobst, P (2006) Appl. Math. Sci. 147. Mathematical Problems in Image Processing. Springer, New York
    3. Andrews, HC, Hunt, BR (1977) Digital Image Restoration. Prentice Hall, Englewood Cliffs
    4. Rudin, L, Osher, S, Fatemi, E (1992) Nonlinear total variation based noise removal algorithms. Physica D 60: pp. 259-268 CrossRef
    5. Dobson, DC, Santosa, F (1996) Recovery of blocky images from noise and blurred data. SIAM J. Appl. Math 56: pp. 1181-1198 CrossRef
    6. Nikolova, M (2000) Local strong homogeneity of a regularized estimator. SIAM J. Appl. Math 61: pp. 633-658 CrossRef
    7. Buades, A, Coll, B, Morel, JM (2005) A review of image denoising algorithms, with a new one. Multiscale Model. Simul 4: pp. 490-530 CrossRef
    8. Tomasi, C, Manduchi, R (1998) Bilateral filtering for gray and color images. Proceedings of the 1998 IEEE International Conference on Computer Vision.
    9. Buades, A, Coll, B, Morel, JM: Image enhancement by non-local reverse heat equation. CMLA Tech. rep. 22 (2006)Buades, A, Coll, B, Morel, JM: Image enhancement by non-local reverse heat equation. CMLA Tech. rep. 22 (2006) Buades, A, Coll, B, Morel, JM: Image enhancement by non-local reverse heat equation. CMLA Tech. rep. 22 (2006)
    10. Osher, S, Burger, M, Goldfarb, D, Xu, J, Yin, W (2005) An iterative regularization method for total variation-based image restoration. Multiscale Model. Simul 4: pp. 460-489 CrossRef
    11. He, L, Marquina, A, Osher, S (2005) Blind deconvolution using TV regularization and Bregman iteration. Int. J. Imaging Syst. Technol 15: pp. 74-83 CrossRef
    12. Marquina, A: Inverse scale space methods for blind deconvolution. UCLA-CAM-Report 06鈥?6 (2006)
    13. Marquina, A, Osher, S (2008) Image super-resolution by TV-regularization and Bregman iteration. J. Sci. Comput 37: pp. 367-382 CrossRef
    14. Gilboa, G, Osher, S (2007) Nonlocal linear image regularization and supervised segmentation. Multiscale Model. Simul 6: pp. 595-630 CrossRef
    15. Lou, Y, Zhang, X, Osher, S, Bertozzi, A: Image recovery via nonlocal operators. UCLA-CAM-Report 08鈥?5 (2008)
    16. Cofiman, RR, Donoho, DL Translation-invariant de-noising. In: Antoniadis, A, Oppenheim, G eds. (1995) Wavelets and Statistics. Springer, New York
    17. Hale, E, Yin, W, Zhang, Y: A fixed-point continuation method for -regularization with application to compressed sensing. CAAM-TR07-07 (2007)
    18. Yin, W, Osher, S, Goldfarb, D, Darbon, J (2008) Bregman iterative algorithms for -minimization with applications to compressed sensing. SIAM J. Imaging Sci 1: pp. 143-168 CrossRef
    19. Cai, J, Osher, S, Shen, Z (2009) Linearized Bregman iterations for compressed sensing. Math. Comput 78: pp. 1515-1536 CrossRef
    20. Cai, J, Osher, S, Shen, Z (2009) Convergence of the linearized Bregman iteration for -norm minimization. Math. Comput 78: pp. 2127-2136 CrossRef
    21. Osher, S, Mao, Y, Dong, B, Yin, W: Fast linearized Bregman iteration for compressive sensing and sparse denoising. UCLA-CAM-Report 08鈥?7 (2008)
    22. Cai, J, Osher, S, Shen, Z (2009) Linearized Bregman iterations for frame-based image deblurring. SIAM J. Imaging Sci 2: pp. 226-252 CrossRef
    23. Goldstein, T, Osher, S (2009) The split Bregman method for -regularized problems. SIAM J. Imaging Sci 2: pp. 323-343 CrossRef
    24. Cai, J, Osher, S, Shen, Z (2009) Split Bregman method and frame based image restoration. Multiscale Model. Simul 8: pp. 337-369 CrossRef
    25. Wu, C, Tai, X (2010) Augmented Lagrangian method, dual methods, and split Bregman iteration for ROF, vectorial TV, and high order models. SIAM J. Imaging Sci 3: pp. 300-339 CrossRef
    26. Yang, Y, M枚ller, M, Osher, S: A dual split Bregman method for fast minimization. UCLA-CAM-Report 11-57 (2011)
    27. Zhang, H, Cheng, L (2010) Linearized Bregman iteration algorithm. Math. Numer. Sin 32: pp. 97-104
    28. Cand茅s, EJ, Wakin, MB, Boyd, SP (2008) Enhancing sparsity by reweighted minimization. J. Fourier Anal. Appl 14: pp. 877-905 CrossRef
    29. Wang, G, Wei, Y, Qiao, S (2004) Generalized Inverses: Theory and Computations. Science Press, Beijing
    30. Wang, S, Yang, Z (1996) Generalized Inverse Matrix and Its Applications. Beijing University of Technology Press, Beijing
    31. Bregman, L (1967) The relaxation method of finding the common points of convex sets and its application to the solution of problems in convex programming. USSR Comput. Math. Math. Phys 7: pp. 200-217 CrossRef
    32. Donoho, D (1995) De-noising by soft-thresholding. IEEE Trans. Inf. Theory 41: pp. 613-627 CrossRef
    33. Schlossmacher, EJ (1973) An iterative technique for absolute deviations curve fitting. J. Am. Stat. Assoc 68: pp. 857-859 CrossRef
    34. Zhao, YB, Li, D (2012) Reweighted -minimization for sparse solutions to underdetermined linear systems. SIAM J. Optim 22: pp. 1065-1088 CrossRef
  • 刊物主题:Analysis; Applications of Mathematics; Mathematics, general;
  • 出版者:Springer International Publishing
  • ISSN:1029-242X
文摘
In this paper, a new reweighted minimization algorithm for image deblurring is proposed. The algorithm is based on a generalized inverse iteration and linearized Bregman iteration, which is used for the weighted minimization problem . In the computing process, the effective using of signal information can make up the detailed features of image, which may be lost in the deblurring process. Numerical experiments confirm that the new reweighted algorithm for image restoration is effective and competitive to the recent state-of-the-art algorithms.

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