电子学报Issue(2)：264-271,8.DOI:10.3969/j.issn.0372-2112.2014.02.009
一种基于 GNC 和增广拉格朗日对偶的非凸非光滑图像恢复方法
A Method Based on the GNC and Augmented Lagrangian Duality for Nonconvex Nonsmooth Image Restoration
摘要
Abstract
The graduated nonconvex method (GNC) and augmented Lagrangian duality have superior restoration performance for nonconvex nonsmooth image restoration .However ,the global convergence of the general GNC could not be guaranteed and an effective initial value could not be obtained for the augmented Lagrangian duality when they are used separately .To overcome these drawbacks ,we propose a hybrid method based on the GNC and augmented Lagrangian duality by transforming the original problem into equality constrained optimization ,then its dual convergence has been strictly proven .The proposed method could get an effec-tive initial value and does not require the convexity and smoothness of the underlying problem .Moreover ,an adaptive energy func-tion is generated by the dual iterations .Experimental results show that the proposed method could enhance the quality of restored im-ages and the efficiency of algorithm effectively .关键词
非凸非光滑/惩罚函数/增广拉格朗日对偶/逐步非凸方法/图像恢复Key words
nonconvex nonsmooth/potential function/augmented Lagrangian duality/graduated nonconvex method(GNC)/image restoration分类
信息技术与安全科学引用本文复制引用
刘晓光,高兴宝..一种基于 GNC 和增广拉格朗日对偶的非凸非光滑图像恢复方法[J].电子学报,2014,(2):264-271,8.基金项目
国家自然科学基金 （）
