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

A Leit o, Otmar Scherzer · Inverse Problems · 2003

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 straightforward 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.

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