摘要
为了解决一般的L1投影问题,提出交替分裂BregmanL1投影算法,并给出了算法的收敛性分析和证明.该算法适用于宽泛的L1投影的线性逆问题,以全变差投影为例,该算法比目前所提出的对偶投影算法收敛速度更快,图像恢复的质量更高.通过图像去噪、去模糊和修补的实验结果表明,相比于目前的对偶投影算法,不论是信噪比还是视觉效果,该算法的结果更优.
In order to solve general L1 projection problems,this paper proposes Alternating Split Bregman L1 projection algorithm.The convergence of the iteration scheme is analyzed and proved.The algorithm can solve a very broad class of L1-projection problems.Total variation projection as an example,using the proposed algorithm,we can get faster convergence rate and better result of image restoration.Numerical results show that our algorithm is better than state of the art TV projection method（Dual projection algorithm） to solve denoising,deconvolution and inpainting problems.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2010年第11期2471-2475,共5页
Acta Electronica Sinica
基金
国家自然科学基金(No.60872138)
宝鸡文理学院2009年院级科研重点项目(No.ZK09172)
