Search for: [Abstract = "By incorporating a space dependent adaptive regularization parameter, image smoothing is driven along probable edges and not across them. The well\-posedness of the corresponding minimization problem is proved in the space of functions of bounded variation. The corresponding gradient descent scheme is implemented and further numerical results illustrate the advantages of using the adaptive parameter in the regularization scheme. Compared with similar edge preserving regularization schemes, the proposed adaptive weight based scheme provides a better multiscale edge map, which in turn produces better restoration."]

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