国防科技大学学报2018，Vol.40Issue(2)：112-118,7.DOI:10.11887/j.cn.201802018
图像恢复中的稳健交替方向乘子法
Image restoration via robust alternating direction method of multipliers
摘要
Abstract
The ADMM(alternating direction method of multipliers)with appropriate parameters plays a successful role in solving linear inverse problems(including image restoration).But the results obtained by ADMM are sensitive to the choices of the penalty parameter, and this bad robustness brought some troubles in its applications.Based on a scheme of choosing the penalty parameter adaptively, a RADMM(robust ADMM)was proposed to tackle this shortcoming.Through analyzing optimization conditions and convergence of RADMM,we can conclude that the adaptive control of the penalty parameter provides good robustness,faster speed of convergence and better solution.And the experiments show that, in the application of image restoration based on the Parseval tight frame,the RADMM is robust to the choices of the penalty parameter,outperforms the ADMM, and is far superior to other alternative state-of-the-art methods.关键词
交替方向乘子法/图像恢复/压缩感知/紧框架Key words
alternating direction method of multipliers/image restoration/compressed sensing/tight frame分类
信息技术与安全科学引用本文复制引用
吴越,曾向荣,周典乐,刘衍,周家庆,周经纶..图像恢复中的稳健交替方向乘子法[J].国防科技大学学报,2018,40(2):112-118,7.基金项目
国家自然科学基金资助项目(61602494) （61602494）
国防科技大学科研计划资助项目(ZK16-03-16) （ZK16-03-16）
