A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction

	A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction
	Qiegen Liu; Xi Peng; Jianbo Liu; Dingcheng Yang; Dong Liang
刊名	International Journal of Biomedical Imaging
	2014
英文摘要	Nonconvex optimization has shown that it needs substantially fewer measurements than l1 minimization for exact recovery under fixed transform/overcomplete dictionary. In this work, two efficient numerical algorithms which are unified by the method named weighted two-level Bregman method with dictionary updating (WTBMDU) are proposed for solving lp optimization under the dictionary learning model and subjecting the fidelity to the partial measurements. By incorporating the iteratively reweighted norm into the two-level Bregman iteration method with dictionary updating scheme (TBMDU), the modified alternating direction method (ADM) solves the model of pursuing the approximated lp-norm penalty efficiently. Specifically, the algorithms converge after a relatively small number of iterations, under the formulation of iteratively reweighted l1 and l2 minimization. Experimental results on MR image simulations and real MR data, under a variety of sampling trajectories and acceleration factors, consistently demonstrate that the proposed method can efficiently reconstruct MR images from highly undersampled k-space data and presents advantages over the current state-of-the-art reconstruction approaches, in terms of higher PSNR and lower HFEN values.
收录类别	EI
原文出处	http://www.hindawi.com/journals/ijbi/2014/128596/
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/5736]
专题	深圳先进技术研究院_医工所
作者单位	International Journal of Biomedical Imaging
推荐引用方式 GB/T 7714	Qiegen Liu,Xi Peng,Jianbo Liu,et al. A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction[J]. International Journal of Biomedical Imaging,2014.
APA	Qiegen Liu,Xi Peng,Jianbo Liu,Dingcheng Yang,&Dong Liang.(2014).A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction.International Journal of Biomedical Imaging.
MLA	Qiegen Liu,et al."A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction".International Journal of Biomedical Imaging (2014).