A Primal-Dual Approach for a Total Variation Wasserstein Flow

Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations


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 seminorm. 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. © 2013 Springer-Verlag.
Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science
PublisherSpringer Nature
Number of pages9
ISBN (Print)9783642400193
StatePublished - 2013
Externally publishedYes


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