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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
Denoising Hyperbolic-Valued Data by Relaxed Regularizations
Robert Beinert, Jonas Bresch
We introduce a novel relaxation strategy for denoising hyperbolic-valued data. The main challenge is here the non-convexity of the hyperbolic sheet. Instead of considering the deno…
math.NA2024
Denoising Sphere-Valued Data by Relaxed Total Variation Regularization
Robert Beinert, Jonas Bresch
Circle- and sphere-valued data play a significant role in inverse problems like magnetic resonance phase imaging and radar interferometry, in the analysis of directional informatio…