[HTML][HTML] A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification

A Lekbir, H Aissam, L Amine… - Inverse Problems and …, 2022 - aimsciences.org
We propose a new variational framework to remove a mixture of Gaussian and impulse
noise from images. This framework is based on a non-convex PDE-constrained with a …

Recent advances in domain decomposition methods for total variation minimization

CO Lee, J Park - Journal of the Korean Society for Industrial and Applied …, 2020 - dbpia.co.kr
Total variation minimization is standard in mathematical imaging and there have been
numerous researches over the last decades. In order to process large-scale images in real …

A gradient smoothing method and its multiscale variant for flows in heterogeneous porous media

C Lee, M Moon, J Park - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In this paper, we study gradient smoothing methods (GSMs) with improved convergence
behaviors for high-contrast problems such as the flow in heterogeneous porous media. We …

Fast Non-overlapping Domain Decomposition Methods for Continuous Multi-phase Labeling Problem

Z Zhang, H Chang, Y Duan - Journal of Scientific Computing, 2023 - Springer
This paper presents the domain decomposition methods (DDMs) for achieving fast parallel
computing on multi-core computers when dealing with the multi-phase labeling problem. To …

A general decomposition method for a convex problem related to total variation minimization

S Hilb, A Langer - arXiv preprint arXiv:2211.00101, 2022 - arxiv.org
We consider sequential and parallel decomposition methods for a dual problem of a general
total variation minimization problem with applications in several image processing tasks, like …