A Novel Model and ADMM Algorithm for MR Image Reconstruction
Joint Authors
Xie, Weisi
Zhou, Bo
Yang, Yu-Fei
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Motivated by the ideas from the LOT model and its deformations, we propose a coupling model for the MR image reconstruction and apply the split Bregman iterative method on the proposed model by utilizing the augmented Lagrangian technique.
The related minimization problem is then divided into four subproblems by means of the alternating minimization method.
And on this basis, by combining the Barzilai-Borwein step size selection scheme, generalized shrinkage formulas, and the shrink operator, we propose an ADMM type algorithm to solve the proposed model.
Several numerical examples are implemented; the experimental results demonstrate the feasibility and effectiveness of the proposed model and algorithm.
American Psychological Association (APA)
Zhou, Bo& Yang, Yu-Fei& Xie, Weisi. 2018. A Novel Model and ADMM Algorithm for MR Image Reconstruction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207985
Modern Language Association (MLA)
Zhou, Bo…[et al.]. A Novel Model and ADMM Algorithm for MR Image Reconstruction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207985
American Medical Association (AMA)
Zhou, Bo& Yang, Yu-Fei& Xie, Weisi. A Novel Model and ADMM Algorithm for MR Image Reconstruction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207985