A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction
Joint Authors
Liang, Dong
Liu, Qiegen
Peng, Xi
Liu, Jianbo
Yang, Dingcheng
Source
International Journal of Biomedical Imaging
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-27
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Qiegen& Peng, Xi& Liu, Jianbo& Yang, Dingcheng& Liang, Dong. 2014. A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction. International Journal of Biomedical Imaging،Vol. 2014, no. 2014, pp.1-23.
https://search.emarefa.net/detail/BIM-1036313
Modern Language Association (MLA)
Liu, Qiegen…[et al.]. A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction. International Journal of Biomedical Imaging No. 2014 (2014), pp.1-23.
https://search.emarefa.net/detail/BIM-1036313
American Medical Association (AMA)
Liu, Qiegen& Peng, Xi& Liu, Jianbo& Yang, Dingcheng& Liang, Dong. A Weighted Two-Level Bregman Method with Dictionary Updating for Nonconvex MR Image Reconstruction. International Journal of Biomedical Imaging. 2014. Vol. 2014, no. 2014, pp.1-23.
https://search.emarefa.net/detail/BIM-1036313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1036313