51 citations · 176 across the 31 of their papers we have counts for
5 papers · 1 filter
On SCD Semismooth Newton methods for the efficient minimization of Tikhonov functionals with non-smooth and non-convex penalties
Helmut Gfrerer, Simon Hubmer, Ronny Ramlau
We consider the efficient numerical minimization of Tikhonov functionals with nonlinear operators and non-smooth and non-convex penalty terms, which appear for example in variation…
On Phase Unwrapping via Digital Wavefront Sensors
Simon Hubmer, Victoria Laidlaw, Ronny Ramlau +2
In this paper, we derive a new class of methods for the classic 2D phase unwrapping problem of recovering a phase function from its wrapped form. For this, we consider the wrapped…
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…
Regularization of linear inverse problems with irregular noise using embedding operators
Xinyan Li, Simon Hubmer, Shuai Lu +1
In this paper, we investigate regularization of linear inverse problems with irregular noise. In particular, we consider the case that the noise can be preprocessed by certain adjo…