Inclusion and estimates for the jumps of minimizers in variational denoising

A Chambolle, M Łasica - SIAM Journal on Imaging Sciences, 2024 - SIAM
We study stability and inclusion of the jump set of minimizers of convex denoising
functionals, such as the celebrated “Rudin–Osher–Fatemi” functional, for scalar or vectorial …

A few topics on total variation flows

Y Giga, H Kuroda, M Łasica - arXiv preprint arXiv:2401.17179, 2024 - arxiv.org
Total variation gradient flows are important in several applied fields, including image
analysis and materials science. In this paper, we review a few basic topics including …

Lipschitz regularity for manifold-constrained ROF elliptic systems

E Cabezas-Rivas, S Moll, V Pallardó-Julià - arXiv preprint arXiv …, 2024 - arxiv.org
We study a generalization of the manifold-valued Rudin-Osher-Fatemi (ROF) model, which
involves an initial datum $ f $ mapping from a curved compact surface with smooth boundary …