On the relation between constraint regularization, level sets, and shape optimization

A. Leitao, O. Scherzer

Published 2020-11-14Version 1

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.