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20142024
most citedA penalization method for calculating the flow beneath travelling water waves of large amplitude

3 citations · 5 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.NA2025

Addendum on data driven regularization by projection

Martin Hanke, Otmar Scherzer

We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training…

math.NA2024

Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems

Andrea Aspri, Leon Frischauf, Otmar Scherzer

We consider solving a probably ill-conditioned linear operator equation, where the operator is not modeled by physical laws but is specified via training pairs (consisting of image…

math.NA2024

Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval

Clemens Kirisits, Kemal Raik, Otmar Scherzer +2

We investigate the transport of intensity equation (TIE) and the transport of phase equation (TPE) for solving the phase retrieval problem. Both the TIE and the TPE are derived fro…

math.NA2024

Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach

Yakun Dong, Kamran Sadiq, Otmar Scherzer +1

We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering probl…

math.NA2024

Diffraction Tomography for a Generalized Incident Field

Clemens Kirisits, Noemi Naujoks, Otmar Scherzer

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is expos…

math.NA2023

Uncertainty Quantification for Scale-Space Blob Detection

Fabian Parzer, Clemens Kirisits, Otmar Scherzer

We consider the problem of blob detection for uncertain images, such as images that have to be inferred from noisy measurements. Extending recent work motivated by astronomical app…