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arXiv · 2011.07178

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

A. Leitao·O. Scherzer
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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.

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A. Leitao, O. Scherzer. 2020-11-14. On the relation between constraint regularization, level sets, and shape optimization. https://doi.org/10.1088/0266-5611%2F19%2F1%2F101

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