A projection proximal-point algorithm for MR imaging using the hybrid regularization model

作者：Xie, Wei-Si^*; Yang, Yu-Fei

来源：Computers & Mathematics with Applications, 2014, 67(12): 2268-2278.

DOI：10.1016/j.camwa.2014.02.023

• Magnetic resonance imaging
• Hybrid regularization
• Shrink operator
• Projection operator
• Proximal point method
• Split Bregman method

In this paper, we present a fast algorithm for MR image reconstruction based on the TV-L-1/TGV-L-1 model. By utilizing the connection between the cut operator (called projection operator) and the shrink operator, the proposed algorithm adopts a semi-implicit scheme to get a compact iteration sequence so as to reduce computational cost. By combining the proximal point scheme, we can ensure that the system of linear equations to be solved at each iteration is well-conditioned. In addition, we also give convergence analysis of the proposed method. Numerical results with comparison to the split Bregman algorithm are supplied to demonstrate the efficiency of the proposed algorithm.

• 出版日期2014-7
• 单位长沙学院; 湖南大学