A primal-dual approach for a total variation Wasserstein flow
Numerical Analysis
2013-05-24 v1
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 seminorm. The constraint on the dual variable is relaxed by adding a \emph{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.
Cite
@article{arxiv.1305.5368,
title = {A primal-dual approach for a total variation Wasserstein flow},
author = {Martin Benning and Luca Calatroni and Bertram Düring and Carola-Bibiane Schönlieb},
journal= {arXiv preprint arXiv:1305.5368},
year = {2013}
}
Comments
8 pages, 15 figures