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Image restoration based on an 1-data-fitting term and edge preserving total variation regularization is considered. The associated non-smooth 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,(More)
while a median filter was introduced by Noori and Saryazdi (2010). A popular variation model in reconstructing blocky images corrupted with Gaussian noise is the Rudin-Osher-Fatemi (ROF) model (Rudin et al. 1992) where Ω is a simply connected bounded domain in ℝ 2 with Lipschitz continuous boundary ∂Ω, and α > 0 is the regulariza-tion parameter. The(More)
Different worldwide volcanic areas are densely populated and urbanized. For instance, in Italy, despite being the most active volcano in Europe, Mt Etna is home to approximately one million people. During the last decades, the vulnerability of the Etnean area has increased exponentially due to continued, at times wild, urbanization, with the consequence(More)
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