A CONDITIONAL GRADIENT METHOD FOR PRIMAL-DUAL TOTAL VARIATION-BASED IMAGE DENOISING

被引：5
|
作者：
Bentbib, Abdeslem Hafid [1 ]
Bouhamidi, Abderrahman [2 ]
Kreit, Karim [1 ]
机构：
[1] Univ Cadi Ayyad, Marrakech, Morocco
[2] Univ Littoral, LMPA, 50 Rue F Buisson BP699, F-62228 Calais, France
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2018年 / 48卷
关键词：
ill-posed problem; regularization; total variation; conditional gradient; image restoration; image denoising; convex programming; TIKHONOV-REGULARIZATION; CONVEX-OPTIMIZATION; ALGORITHMS;
D O I：
10.1553/etna_vol48s310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the problem of image denoising by total variation regularization. We combine the conditional gradient method with the total variation regularization in the dual formulation to derive a new method for denoising images. The convergence of this method is proved. Some numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：310 / 328
页数：19
相关论文
共 50 条
  • [1] A nonlinear primal-dual method for total variation-based image restoration
    Chan, TF
    Golub, GH
    Mulet, P
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 20 (06): : 1964 - 1977
  • [2] A fast primal-dual method for generalized Total Variation denoising
    Arandiga, Francesc
    Mulet, Pep
    Renau, Vicent
    [J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2012, 6 (03): : 401 - 410
  • [3] A nonmonotone adaptive projected gradient method for primal-dual total variation image restoration
    Yu, Gaohang
    Xue, Wei
    Zhou, Yi
    [J]. SIGNAL PROCESSING, 2014, 103 : 242 - 249
  • [4] A simple primal-dual method for total variation image restoration
    Zhang, Benxin
    Zhu, Zhibin
    Wang, Shuo
    [J]. JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2016, 38 : 814 - 823
  • [5] A primal-dual multiplier method for total variation image restoration
    Zhang, Benxin
    Zhu, Zhibin
    Xu, Chuanpei
    [J]. APPLIED NUMERICAL MATHEMATICS, 2019, 145 : 145 - 158
  • [6] Primal-dual hybrid gradient image denoising algorithm based on overlapping group sparsity and fractional-order total variation
    Bi, Shaojiu
    Li, Minmin
    Cai, Guangcheng
    [J]. APPLIED MATHEMATICAL MODELLING, 2024, 135 : 666 - 683
  • [7] On the Convergence of Primal-Dual Hybrid Gradient Algorithms for Total Variation Image Restoration
    Bonettini, Silvia
    Ruggiero, Valeria
    [J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2012, 44 (03) : 236 - 253
  • [8] An infeasible primal-dual algorithm for total bounded variation-based INF-convolution-type image restoration
    Hintermüller, M
    Stadler, G
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 28 (01): : 1 - 23
  • [9] A primal-dual method for total-variation-based pansharpening
    Khademi, Ghassem
    Ghassemian, Hassan
    [J]. INTERNATIONAL JOURNAL OF REMOTE SENSING, 2021, 42 (06) : 2072 - 2104
  • [10] Primal-dual method to smoothing TV-based model for image denoising
    Zhi, Zhanjiang
    Shi, Baoli
    Sun, Yi
    [J]. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 2016, 10 (04) : 235 - 243
12345