2 papers
math.OC2025
On the ROF Model in Rectilinear Anisotropy: Piecewise Constant Approximation and Universal Minimality
Clemens Kirisits, Eric Setterqvist
We prove that the distance between the minimizer of the -anisotropic Rudin-Osher-Fatemi (ROF) functional and its minimizer over the space of piecewise constant functi…
math.NA2024
Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction
Clemens Kirisits, Michael Quellmalz, Eric Setterqvist
This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction…