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An Efficient Primal-Dual Method for $L^1$TV Image Restoration

An Efficient Primal-Dual Method for $L^1$TV Image Restoration

Image restoration based on an $\ell^1$-data-fitting term and edge preserving total variation regularization is considered. The associated nonsmooth energy minimization problem is handled by utilizing Fenchel duality and dual regularization techniques. The latter guarantee uniqueness of the dual solution and an efficient way for reconstructing a primal solution, i.e., the …