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19992026
most citedSparse Regularization with Penalty Term

180 citations · 1.2k across the 100 of their papers we have counts for

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Showing 2024 · math.NAShow all

5 papers · 2 filters

math.NA2024

Vertex characterization via second-order topological derivatives

Peter Gangl, Bochra Mejri, Otmar Scherzer

This paper focuses on identifying vertex characteristics in 2D images using topological asymptotic analysis. Vertex characteristics include both the location and the type of the ve…

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…