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On the relation between constraint regularization, level sets, and shape optimization (2011.07178v1)
Published 14 Nov 2020 in math.OC, cs.NA, and math.NA
Abstract: We consider regularization methods based on the coupling of Tikhonov regularization and projection strategies. From the resulting constraint regularization method we obtain level set methods in a straight forward way. Moreover, we show that this approach links the areas of asymptotic regularization to inverse problems theory, scale-space theory to computer vision, level set methods, and shape optimization.