A novel model and ADMM algorithm for MR image reconstruction
type: Item
instance of: scholarly article
title: A novel model and ADMM algorithm for MR image reconstruction
zbMATH Open document ID: 1427.94033
DOI: 10.1155/2018/5490458
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 7019148
describes a project that uses: RecPF
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5490458
OpenAlex ID: W2891592386
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Wikidata QID: Q129292134
description: scientific article; zbMATH DE number 7019148