8 papers
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…
Regularization of Nonlinear Inverse Problems -- From Functional Analysis to Data-Driven Approaches
Clemens Kirisits, Bochra Mejri, Sergei Pereverzev +2
The focus of this book is on the analysis of regularization methods for solving \emph{nonlinear inverse problems}. Specifically, we place a strong emphasis on techniques that incor…
Quantitative Multi-Modal Optical Coherence Photoacoustic Elastography
Ekaterina Sherina, Lisa Krainz, Wolfgang Drexler +1
We present a novel multi-modal optical coherence photoacoustic elastography framework, which combines two imaging modalities, optical coherence tomography and photoacoustic tomogra…
Pressure beneath a periodic travelling water-wave in constant-vorticity flow over a flat bed
Adrian Constantin, Nicolas Gindrier, Otmar Scherzer
We investigate within the framework of linear theory the behaviour of the total (hydrodynamic) pressure and of the dynamic pressure in a regular wave train which propagates at the…
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…