An efficient solution to the atmospheric turbulence tomography problem using Kaczmarz iteration

DOI10.1088/0266-5611/28/9/095004zbMath1252.78021OpenAlexW1994398423MaRDI QIDQ3168175

Matthias Rosensteiner, Ronny Ramlau

Publication date: 29 October 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/28/9/095004

zbMATH Keywords

Tikhonov regularizationKaczmarz iterationatmospheric turbulence tomographymirror shape

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Inverse problems in geophysics (86A22) Iterative numerical methods for linear systems (65F10) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Greedy randomized and maximal weighted residual Kaczmarz methods with oblique projection ⋮ A gradient-based method for atmospheric tomography ⋮ Model reduction in atmospheric tomography by optimal grouping of turbulent layers ⋮ A Singular-Value-Type Decomposition for the Atmospheric Tomography Operator ⋮ Efficient iterative tip/tilt reconstruction for atmospheric tomography ⋮ A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems ⋮ A frame decomposition of the atmospheric tomography operator ⋮ Towards analytical model optimization in atmospheric tomography ⋮ Optimal mirror deformation for multi conjugate adaptive optics systems ⋮ An augmented wavelet reconstructor for atmospheric tomography ⋮ A new temporal control approach for SCAO systems ⋮ Tomographic Reconstruction for Single Conjugate Adaptive Optics ⋮ Subspace Recycling--Based Regularization Methods

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