New Tikhonov Regularization for Blind Image Restoration

被引:2
作者
Shi, Yuying [1 ]
Liu, Qiao [1 ]
Zhu, Yonggui [2 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[2] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
来源
IMAGE AND GRAPHICS (ICIG 2017), PT III | 2017年 / 10668卷
关键词
DEBLURRING MODELS; ROBUST ALGORITHM; DECONVOLUTION; IDENTIFICATION;
D O I
10.1007/978-3-319-71598-8_11
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Blind image restoration is a challenging problem with unknown blurring kernel. In this paper, we propose a new algorithm based on a new Tikhonov regularization term, which combines three techniques including the split Bregman technique, fast Fourier transform and spectral decomposition technology to accelerate the computation process. Numerical results demonstrate that the proposed algorithm is simple, fast and effective for blind image restoration.
引用
收藏
页码:113 / 123
页数:11
相关论文
共 26 条
  • [1] ITERATIVE BLIND DECONVOLUTION METHOD AND ITS APPLICATIONS
    AYERS, GR
    DAINTY, JC
    [J]. OPTICS LETTERS, 1988, 13 (07) : 547 - 549
  • [2] Babacan SD, 2007, IEEE IMAGE PROC, P97
  • [3] Constrained Total Variation Deblurring Models and Fast Algorithms Based on Alternating Direction Method of Multipliers
    Chan, Raymond H.
    Tao, Min
    Yuan, Xiaoming
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2013, 6 (01): : 680 - 697
  • [4] Total variation blind deconvolution
    Chan, TF
    Wong, CK
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) : 370 - 375
  • [5] A new Tikhonov regularization method
    Fuhry, Martin
    Reichel, Lothar
    [J]. NUMERICAL ALGORITHMS, 2012, 59 (03) : 433 - 445
  • [6] The Split Bregman Method for L1-Regularized Problems
    Goldstein, Tom
    Osher, Stanley
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2009, 2 (02): : 323 - 343
  • [7] Hansen PC, 2006, FUND ALGORITHMS, V3, P1, DOI 10.1137/1.9780898718874
  • [8] Blind deconvolution using TV regularization and Bregman iteration
    He, L
    Marquina, A
    Osher, SJ
    [J]. INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY, 2005, 15 (01) : 74 - 83
  • [9] Jin C, 2003, IEEE SYS MAN CYBERN, P245
  • [10] A novel blind deconvolution scheme for image restoration using recursive filtering
    Kundur, D
    Hatzinakos, D
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (02) : 375 - 390