activity
20202024
most citedError analysis for filtered back projection reconstructions in Besov spaces

11 citations · 18 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2024★ 1 cited

Invertible ResNets for Inverse Imaging Problems: Competitive Performance with Provable Regularization Properties

Clemens Arndt, Judith Nickel

Learning-based methods have demonstrated remarkable performance in solving inverse problems, particularly in image reconstruction tasks. Despite their success, these approaches oft…

math.NA2024

Optimized filter functions for filtered back projection reconstructions

Matthias Beckmann, Judith Nickel

The method of filtered back projection (FBP) is a widely used reconstruction technique in X-ray computerized tomography (CT), which is particularly important in clinical diagnostic…

math.NA2023

Bayesian view on the training of invertible residual networks for solving linear inverse problems

Clemens Arndt, Sören Dittmer, Nick Heilenkötter +3

Learning-based methods for inverse problems, adapting to the data's inherent structure, have become ubiquitous in the last decade. Besides empirical investigations of their often r…

math.NA2023★ 6 cited

Invertible residual networks in the context of regularization theory for linear inverse problems

Clemens Arndt, Alexander Denker, Sören Dittmer +5

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step sch…

math.NA2020★ 11 cited

Error analysis for filtered back projection reconstructions in Besov spaces

Matthias Beckmann, Peter Maass, Judith Nickel

Filtered back projection (FBP) methods are the most widely used reconstruction algorithms in computerized tomography (CT). The ill-posedness of this inverse problem allows only an…