8 papers · 1 filter
On Fourier Phase Retrieval from Differential Intensity Measurements with Applications to Wavefront Sensing
Simon Hubmer, Lukas Weissinger, Ronny Ramlau +1
In this paper, we consider Fourier phase retrieval from differential intensity measurements, i.e., the problem of determining the phase of a complex-valued function from a series o…
Neural operators for solving nonlinear inverse problems
Otmar Scherzer, Thi Lan Nhi Vu, Jikai Yan
We consider solving a probably infinite dimensional operator equation, where the operator is not modeled by physical laws but is specified indirectly via training pairs of the inpu…
Raster Scan Diffraction Tomography
Peter Elbau, Noemi Naujoks, Otmar Scherzer
Diffraction tomography is a widely used inverse scattering technique for quantitative imaging of weakly scattering media. In its conventional formulation, diffraction tomography as…
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…
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…
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…