51 citations · 176 across the 31 of their papers we have counts for
6 papers · 1 filter
Direction dependent Point spread function reconstruction for Multi-Conjugate Adaptive Optics on Giant Segmented Mirror Telescopes
Roland Wagner, Daniela Saxenhuber, Ronny Ramlau +1
Modern Giant Segmented Mirror Telescopes (GSMT) like the Extremely Large Telescope (ELT), currently under construction depend heavily on Adaptive Optics (AO) systems to correct for…
A mathematical approach towards THz tomography for non-destructive imaging
Simon Hubmer, Alexander Ploier, Ronny Ramlau +2
In this paper, we consider the imaging problem of terahertz (THz) tomography, in particular as it appears in non-destructive testing. We derive a nonlinear mathematical model descr…
Frame Decompositions of Bounded Linear Operators in Hilbert Spaces with Applications in Tomography
Simon Hubmer, Ronny Ramlau
We consider the decomposition of bounded linear operators on Hilbert spaces in terms of functions forming frames. Similar to the singular-value decomposition, the resulting frame d…
Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography
Ekaterina Sherina, Lisa Krainz, Simon Hubmer +2
In this paper, we consider the problem of estimating the internal displacement field of an object which is being subjected to a deformation, from Optical Coherence Tomography (OCT)…
A Frame Decomposition of the Atmospheric Tomography Operator
Simon Hubmer, Ronny Ramlau
We consider the problem of atmospheric tomography, as it appears for example in adaptive optics systems for extremely large telescopes. We derive a frame decomposition, i.e., a dec…
A note on the minimization of a Tikhonov functional with -penalty
Fabian Hinterer, Simon Hubmer, Ronny Ramlau
In this paper, we consider the minimization of a Tikhonov functional with an penalty for solving linear inverse problems with sparsity constraints. One of the many approac…