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math.NA2026
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…
math.NA2024
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…
math.NA2024
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…