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Variational Relaxations of the Image Partitioning Problem - Models, Optimization and Optimality

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Variational relaxations can be used to compute approximate minimizers of optimal partitioning and multiclass labeling problems on continuous domains. We give an overview about current formulations and their numerical solution. We also discuss a recent result on finding integral solutions with an a priori upper bound on the objective by solving the relaxed problem. We show that the approach can be interpreted as an approximate, multiclass variant of the coarea formula.

This talk is part of the Applied and Computational Analysis series.

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