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math.NA2025
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…
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…
math.NA2024
On some analytic properties of the atmospheric tomography operator: Non-Uniqueness and reconstructability issues
Ronny Ramlau, Bernadett Stadler
In this paper, we consider the atmospheric tomography operator, which describes the effect of turbulent atmospheric layers on incoming planar wavefronts. Given wavefronts from diff…