A Singular-Value-Type Decomposition for the Atmospheric Tomography Operator

DOI10.1137/16M108135XzbMath1372.78006OpenAlexW2612130091MaRDI QIDQ5346792

Andreas Neubauer, Ronny Ramlau

Publication date: 29 May 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m108135x

zbMATH Keywords

ill-posed problemill-conditioned problematmospheric tomography operatorsingular value-type decomposition

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10) Astronomy and astrophysics (85A99) Linear operators and ill-posed problems, regularization (47A52) Geophysics (86A99) Physical optics (78A10)

Related Items (3)

A frame decomposition of the atmospheric tomography operator ⋮ Tomographic Reconstruction for Single Conjugate Adaptive Optics ⋮ Frame decompositions of bounded linear operators in Hilbert spaces with applications in tomography

Cites Work

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• Cumulative wavefront reconstructor for the Shack-Hartmann sensor
• Incomplete data problems in x-ray computerized tomography
• Wavelet methods in multi-conjugate adaptive optics
• The Ill-Conditioned Nature of the Limited Angle Tomography Problem
• An efficient solution to the atmospheric turbulence tomography problem using Kaczmarz iteration
• Inverse problems in astronomical adaptive optics
• On the Limit Points of the Sequence /sin n/

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