11 citations · 15 across the 6 of their papers we have counts for
6 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…
Singular Value-based Atmospheric Tomography with Fourier Domain Regularization (SAFR)
Lukas Weissinger, Simon Hubmer, Bernadett Stadler +1
Atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems. It is…
Singular Value and Frame Decomposition-based Reconstruction for Atmospheric Tomography
Lukas Weissinger, Simon Hubmer, Bernadett Stadler +1
Atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems used f…
An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain
Lukas Weissinger, Simon Hubmer, Ronny Ramlau +1
Cardiac pulsations in the human brain have received recent interest due to their possible role in the pathogenesis of neurodegenerative diseases. Further interest stems from their…
A Frame Decomposition of the Funk-Radon Transform
Michael Quellmalz, Lukas Weissinger, Simon Hubmer +1
The Funk-Radon transform assigns to a function defined on the unit sphere its integrals along all great circles of the sphere. In this paper, we consider a frame decomposition of t…
On Regularization via Frame Decompositions with Applications in Tomography
Simon Hubmer, Ronny Ramlau, Lukas Weissinger
In this paper, we consider linear ill-posed problems in Hilbert spaces and their regularization via frame decompositions, which are generalizations of the singular-value decomposit…