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Perona-Malik equation and its numerical properties (1412.6291v1)
Published 19 Dec 2014 in cs.NA and math.NA
Abstract: This work concerns the Perona-Malik equation, which plays essential role in image processing. The first part gives a survey of results on existance, uniqueness and stability of solutions, the second part introduces discretisations of equation and deals with an analysis of discrete problem. In the last part I present some numerical results, in particular with algorithms applied to real images.