Autor:

Zhou, Bo ; Yang, Yu-Fei ; Hu, Bo-Xia

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction

Tytuł publikacji grupowej:

AMCS, volume 30 (2020)

Temat i słowa kluczowe:

MRI reconstruction ; LLT model ; LOT model ; coupling model ; ADMM ; split Bregman ; wavelet transform

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2020

Typ zasobu:

artykuł

DOI:

10.34768/amcs-2020-0009

Strony:

113-122

Źródło:

AMCS, volume 30, number 1 (2020) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego