3 papers
math.NA2024
On an Analytical Inversion Formula for the Modulo Radon Transform
Matthias Beckmann, Carla Dittert
This paper proves a novel analytical inversion formula for the so-called modulo Radon transform (MRT), which models a recently proposed approach to one-shot high dynamic range tomo…
math.NA2024
Max-Normalized Radon Cumulative Distribution Transform for Limited Data Classification
Matthias Beckmann, Robert Beinert, Jonas Bresch
The Radon cumulative distribution transform (R-CDT) exploits one-dimensional Wasserstein transport and the Radon transform to represent prominent features in images. It is closely…
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…