A primal-dual approach for a total variation Wasserstein flow
Martin Benning, Luca Calatroni, Bertram Düring, Carola‐Bibiane Schönlieb · arXiv (Cornell University) · 2013
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.