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Abstract : |
In this paper, we propose a new model for image restoration and decomposition, based on the total variation minimization of Rudin-Osher-Fatemi, and of the results of Y. Meyer on oscillatory functions. An initial image f is decomposed into a cartoon part u and a texture or noise part v. The u component is modeled by a function of bounded variation, while the v component by an oscillatory function, with bounded H-1 norm. After some transformation, the resulting PDE is of fourth order. Finally, image decomposition, alenoising and aleblurring numerical results are shown., |
