- Tytuł:
- A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction
- Autorzy:
-
Zhou, Bo
Yang, Yu-Fei
Hu, Bo-Xia - Powiązania:
- https://bibliotekanauki.pl/articles/330846.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
MRI reconstruction
LLT model
LOT model
coupling model
ADMM algorithm
split Bregman
wavelet transform
rezonans magnetyczny
metoda Bregmana
transformata falkowa - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 113-122
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł