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• W2079557531 abstract "We propose the use of the Kantorovich--Rubinstein norm from optimal transport in imaging problems. In particular, we discuss a variational regularization model endowed with a Kantorovich--Rubinstein discrepancy term and total variation regularization in the context of image denoising and cartoon-texture decomposition. We point out connections of this approach to several other recently proposed methods such as total generalized variation and norms capturing oscillating patterns. We also show that the respective optimization problem can be turned into a convex-concave saddle point problem with simple constraints and hence can be solved by standard tools. Numerical examples exhibit interesting features and favorable performance for denoising and cartoon-texture decomposition." @default.
• W2079557531 created "2016-06-24" @default.
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• W2079557531 date "2014-01-01" @default.
• W2079557531 modified "2023-10-16" @default.
• W2079557531 title "Imaging with Kantorovich--Rubinstein Discrepancy" @default.
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• W2079557531 doi "https://doi.org/10.1137/140975528" @default.
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