A primal-dual fixed-point algorithm for minimization of three convex separablefunctions

来源 :Computational Biomedical Imaging Workshop(2015计算生物医学成像研讨会) | 被引量 : 0次 | 上传用户:jianjian19527
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  Many problems in image processing and signal recovery with multiregularity terms can be formulated as minimization of three convex separable functions,which is the sum of a smooth function with Lipschitz continuous gradient,a linear composite function and a nonsmooth proximable function.We propose a primal-dual fixed-point algorithm PDFP to solve above problems,which is a symmetric full splitting scheme,the gradient and the linear operator involved are used explicitly without any inversion,and the nonsmooth functions are processed individually via their proximity operators.We study its convergence theory,and show its efficiency through fused LASSO penalty problem and pMRI.
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