A coarsening finite element strategy in image selective smoothing
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We introduce the coarsening of finite element computational grid strategy into the method proposed by Kačur and Mikula in  for the numerical solution of the Perona–Malik model modified in the sense of Catté, Lions, Morel and Coll. It improves the efficiency of the method, while the solution tends to be more flat during the selective smoothing process applied to the image. The numerical approximation consists of Rothe's method in time and linear finite elements on unstructured adaptively coarsened meshes in space.
KeywordsNumerical Approximation Computational Grid Element Strategy Smoothing Process Finite Element Strategy
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