A primal-dual approach for a total variation Wasserstein flow

Benning, Martin, Calatroni, Luca, Düring, Bertram and Schönlieb, Carola-Bibiane (2013) A primal-dual approach for a total variation Wasserstein flow. In: Nielsen, Frank and Barbaresco, Frédéric (eds.) Geometric science of information: first international conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings. Lecture notes in computer science (8085). Springer Berlin Heidelberg, Berlin, pp. 413-421. ISBN 9783642400193

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Abstract

We consider a nonlinear fourth-order diffusion equation that arises in denoising of image densities. We propose an implicit time-stepping scheme that employs a primal-dual method for computing the subgradient of the total variation semi-norm. The constraint on the dual variable is relaxed by adding a penalty term, depending on a parameter that determines the weight of the penalisation. The paper is furnished with some numerical examples showing the denoising properties of the model considered.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Bertram During
Date Deposited: 19 Aug 2013 09:35
Last Modified: 19 Aug 2013 09:35
URI: http://sro.sussex.ac.uk/id/eprint/45899
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