A Novel Iterative Shrinkage Algorithm for CS-MRI via Adaptive Regularization

被引:31
作者
Chen, Zhen [1 ]
Fu, Yuli [1 ]
Xiang, Youjun [1 ]
Rong, Rong [1 ]
机构
[1] South China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510641, Guangdong, Peoples R China
关键词
Compressed sensing (CS); image reconstruction; iterative shrinkage; magnetic resonance imaging (MRI); quasi-Newton method; RECONSTRUCTION;
D O I
10.1109/LSP.2017.2736159
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Anew algorithm is proposed for compressed sensing-magnetic resonance imaging (CS-MRI). The l(p)-norm (0 < p <= 1) based adaptive regularization model is used for MRI. The algorithm is established by using a novel iterative shrinkage scheme. In the iteration, the quasi-Newton method is employed. In the shrinkage, the threshold is defined varyingly. Also, the parameter p is selected dynamically in the algorithm. Comparing with some certain state-of-the-art methods for the noisy case, the proposed algorithm provides a higher accuracy of the MR image reconstruction. The performance of the proposed algorithm is validated by the theoretical analysis as well as some experimental results.
引用
收藏
页码:1443 / 1447
页数:5
相关论文
共 23 条
[1]   Compressed sensing with coherent and redundant dictionaries [J].
Candes, Emmanuel J. ;
Eldar, Yonina C. ;
Needell, Deanna ;
Randall, Paige .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2011, 31 (01) :59-73
[2]   Exact reconstruction of sparse signals via nonconvex minimization [J].
Chartrand, Rick .
IEEE SIGNAL PROCESSING LETTERS, 2007, 14 (10) :707-710
[3]   Restricted isometry properties and nonconvex compressive sensing [J].
Chartrand, Rick ;
Staneva, Valentina .
INVERSE PROBLEMS, 2008, 24 (03)
[4]   Projection Design for Statistical Compressive Sensing: A Tight Frame Based Approach [J].
Chen, Wei ;
Rodrigues, Miguel R. D. ;
Wassell, Ian J. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (08) :2016-2029
[5]   Proximal Splitting Methods in Signal Processing [J].
Combettes, Patrick L. ;
Pesquet, Jean-Christophe .
FIXED-POINT ALGORITHMS FOR INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 49 :185-+
[6]   Signal recovery by proximal forward-backward splitting [J].
Combettes, PL ;
Wajs, VR .
MULTISCALE MODELING & SIMULATION, 2005, 4 (04) :1168-1200
[7]   THE RICIAN DISTRIBUTION OF NOISY MRI DATA [J].
GUDBJARTSSON, H ;
PATZ, S .
MAGNETIC RESONANCE IN MEDICINE, 1995, 34 (06) :910-914
[8]   Quasi-Newton Iterative Projection Algorithm for Sparse Recovery [J].
Jing, Mingli ;
Zhou, Xueqin ;
Qi, Chun .
NEUROCOMPUTING, 2014, 144 :169-173
[9]   Projected Iterative Soft-Thresholding Algorithm for Tight Frames in Compressed Sensing Magnetic Resonance Imaging [J].
Liu, Yunsong ;
Zhan, Zhifang ;
Cai, Jian-Feng ;
Guo, Di ;
Chen, Zhong ;
Qu, Xiaobo .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2016, 35 (09) :2130-2140
[10]  
Ma S., 2008, P IEEE C COMP VIS PA, P1, DOI DOI 10.1109/CVPR.2008.4587391