Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
Motivated by ideas from two-step models and combining second-order TV regularization in the LLT model, we propose a coupling model for MR image reconstruction. By applying the variables splitting technique, the split Bregman iterative scheme, and the alternating minimization method twice, we can divide the proposed model into several subproblems only related to second-order PDEs so as to avoid solving a fourth-order PDE. ; The solution of every subproblem is based on generalized shrinkage formulas, the shrink operator or the diagonalization technique of the Fourier transform, and hence can be obtained very easily. By means of the Barzilai-Borwein step size selection scheme, an ADMM type algorithm is proposed to solve the equations underlying the proposed model. The results of numerical implementation demonstrate the feasibility and effectiveness of the proposed model and algorithm.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 30, number 1 (2020) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2020)
Last modified:
Jul 15, 2025
In our library since:
Jul 15, 2025
Number of object content hits:
9
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/101089
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 1 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 2 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 3 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 4 (2020)
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| Edition name | Date |
|---|---|
| A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction | Jul 15, 2025 |
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