Alternating split Bregman method for the bilaterally constrained image deblurring problem

作者：Shi, Baoli; Pang, Zhi-Feng^*; Wu, Jun

来源：Applied Mathematics and Computation, 2015, 250: 402-414.

DOI：10.1016/j.amc.2014.11.004

• Image deblurring
• Bilateral constraint
• ROF model
• High-order model
• Alternating split Bregman method

This paper studies the image deblurring problem based on a bilateral constraint by convexly combining two classes of total-variation-type functionals. The proposed model including two L-1-norm terms leads to some numerical difficulties, so we employ the alternating split Bregman method (ASB) to solve it which can be reinterpreted as Douglas-Rachford splitting applied to the dual problem. We also prove that the alternating split Bregman method owns the convergence rate O(1/M) for the iteration M. Experimental results demonstrate the viability and efficiency of the proposed model and algorithm to restore blurring and noisy images.

• 出版日期2015-1-1
• 单位河南大学