297 citations · 1.5k across the 199 of their papers we have counts for
9 papers · 1 filter
Total Directional Variation for Video Denoising
Simone Parisotto, Carola-Bibiane Schönlieb
In this paper, we propose a variational approach for video denoising, based on a total directional variation (TDV) regulariser proposed in Parisotto et al. (2018), for image denois…
Higher-Order Total Directional Variation: Imaging Applications
Simone Parisotto, Jan Lellmann, Simon Masnou +1
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Ge…
Tomographic Reconstruction with Spatially Varying Parameter Selection
Yiqiu Dong, Carola-Bibiane Schönlieb
In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model propo…
Template-Based Image Reconstruction from Sparse Tomographic Data
Lukas F. Lang, Sebastian Neumayer, Ozan Öktem +1
We propose a variational regularisation approach for the problem of template-based image reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed…
Task adapted reconstruction for inverse problems
Jonas Adler, Sebastian Lunz, Olivier Verdier +2
The paper considers the problem of performing a task defined on a model parameter that is only observed indirectly through noisy data in an ill-posed inverse problem. A key aspect…
A multi-contrast MRI approach to thalamus segmentation
Veronica Corona, Jan Lellmann, Peter Nestor +2
Thalamic alterations are relevant to many neurological disorders including Alzheimer's disease, Parkinson's disease and multiple sclerosis. Routine interventions to improve symptom…
A geometric integration approach to nonsmooth, nonconvex optimisation
Erlend S. Riis, Matthias J. Ehrhardt, G. R. W. Quispel +1
The optimisation of nonsmooth, nonconvex functions without access to gradients is a particularly challenging problem that is frequently encountered, for example in model parameter…
Adversarial Regularizers in Inverse Problems
Sebastian Lunz, Ozan Öktem, Carola-Bibiane Schönlieb
Inverse Problems in medical imaging and computer vision are traditionally solved using purely model-based methods. Among those variational regularization models are one of the most…
Unveiling the invisible - mathematical methods for restoring and interpreting illuminated manuscripts
Luca Calatroni, Marie d'Autume, Rob Hocking +4
The last fifty years have seen an impressive development of mathematical methods for the analysis and processing of digital images, mostly in the context of photography, biomedical…