Reweighted minimization model for MR image reconstruction with split Bregman method

被引：6
|
作者：
Zhang Hui [1 ]
Cheng LiZhi [1 ]
Li JianPing [1 ]
机构：
[1] Natl Univ Def & Technol, Coll Sci, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China
来源：
SCIENCE CHINA-INFORMATION SCIENCES | 2012年 / 55卷 / 09期
基金：
中国国家自然科学基金;
关键词：
reweighed minimization; split Bregman method; MR image; image reconstruction; L(1)-MINIMIZATION; ALGORITHMS;
D O I：
10.1007/s11432-011-4328-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Magnetic resonance (MR) image reconstruction is to get a practicable gray-scale image from few frequency domain coefficients. In this paper, different reweighted minimization models for MR image reconstruction are studied, and a novel model named reweighted wavelet+TV minimization model is proposed. By using split Bregman method, an iteration minimization algorithm for solving this new model is obtained, and its convergence is established. Numerical simulations show that the proposed model and its algorithm are feasible and highly efficient.
引用
收藏
页码：2109 / 2118
页数：10
相关论文
共 50 条
  • [1] Reweighted minimization model for MR image reconstruction with split Bregman method
    Hui Zhang
    LiZhi Cheng
    JianPing Li
    Science China Information Sciences, 2012, 55 : 2109 - 2118
  • [2] Reweighted minimization model for MR image reconstruction with split Bregman method
    ZHANG Hui CHENG LiZhi LI JianPing Department of Mathematics and Systems ScienceCollege of ScienceNational University of Defense and TechnologyChangsha China
    ScienceChina(InformationSciences), 2012, 55 (09) : 2109 - 2118
  • [3] Split Bregman Method for Minimization of Fast Multiphase Image Segmentation Model for Inhomogeneous Images
    Yunyun Yang
    Yi Zhao
    Boying Wu
    Journal of Optimization Theory and Applications, 2015, 166 : 285 - 305
  • [4] Bregman reweighted alternating minimization and its application to image deblurring
    Sun, Tao
    Qiao, Linbo
    Li, Dongsheng
    INFORMATION SCIENCES, 2019, 503 : 401 - 416
  • [5] Split Bregman Method for Minimization of Fast Multiphase Image Segmentation Model for Inhomogeneous Images
    Yang, Yunyun
    Zhao, Yi
    Wu, Boying
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (01) : 285 - 305
  • [6] MR image reconstruction based on framelets and nonlocal total variation using split Bregman method
    Varun P. Gopi
    P. Palanisamy
    Khan A. Wahid
    Paul Babyn
    International Journal of Computer Assisted Radiology and Surgery, 2014, 9 : 459 - 472
  • [7] MR image reconstruction based on framelets and nonlocal total variation using split Bregman method
    Gopi, Varun P.
    Palanisamy, P.
    Wahid, Khan A.
    Babyn, Paul
    INTERNATIONAL JOURNAL OF COMPUTER ASSISTED RADIOLOGY AND SURGERY, 2014, 9 (03) : 459 - 472
  • [8] Split Bregman Method for Minimization of Modified Vese-Chan Model for Fast Image Segmentation
    Yang, Yunyun
    Zhao, Yi
    Wu, Boying
    Wang, Hongpeng
    2013 8TH INTERNATIONAL SYMPOSIUM ON IMAGE AND SIGNAL PROCESSING AND ANALYSIS (ISPA), 2013, : 66 - +
  • [9] Contourlet Based MR Image Reconstruction via Reweighted L1-Minimization
    Wang Miao miao
    Ding Xing hao
    Xiao Quan
    Cai Cong bo
    PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 3321 - 3323
  • [10] The Split Bregman Method of Image Decomposition Model for Ultrasound Image Denoising
    Wang, Guodong
    Pan, Zhenkuan
    Zhao, Zengfang
    Sun, Xiaotong
    2010 3RD INTERNATIONAL CONFERENCE ON BIOMEDICAL ENGINEERING AND INFORMATICS (BMEI 2010), VOLS 1-7, 2010, : 644 - 647
12345