In this paper,we propose a new image denoising model using the dual Lipschitz norm from optimal transport(OT)and the total variation minimization.We show the relations of this model to the G-TV model proposed by Yves Meyer to decomposition an image into a cartoon component,and a component representing the texture or noise.The proposed model is solved by minimizing a convex functional alternately in two variables.We design the numerical algorithm based on the Primal-Dual Hybrid Gradient(PDHG)algorithm for the Wasserstein-1 distance and the projection algorithm for the ROF model,and we establish the convergence analysis of the proposed algorithm.The existence of a minimizer of the proposed model is proved.Numerical examples demonstrate the distinct features of the proposed model compared with the traditional models such as the ROF model,and show the effectiveness of the proposed numerical method.
维普
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