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A primal-dual approach for a total variation Wasserstein flow
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posted on 2023-06-08, 15:30 authored by Martin Benning, Luca Calatroni, Bertram Duering, Carola-Bibiane SchönliebWe 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.
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Publication status
- Published
ISSN
0302-9743Publisher
Springer Berlin HeidelbergExternal DOI
Issue
8085Page range
413-421Book title
Geometric science of information: first international conference, GSI 2013, Paris, France, August 28-30, 2013. ProceedingsPlace of publication
BerlinISBN
9783642400193Series
Lecture notes in computer scienceDepartment affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Frank Nielsen, Frédéric BarbarescoLegacy Posted Date
2013-08-19Usage metrics
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