Abstract.
We present a new direct algorithm for the reconstruction of the optical wavefront from the Shack–Hartmann sensor measurements in Single Conjugate Adaptive Optics (SCAO) systems. The computational complexity of this method which is based on linear triangular finite elements is linear in the number of unknowns. Moreover, due to its simple structure, the cumulative reconstructor is pipelinable and parallelizable, which makes the effective computation even faster. Error estimates are given in dependence of the number of the subapertures and the data noise.
Received: 2012-10-01
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Adaptive optics;
inverse problems;
cumulative wavefront reconstructor
Articles in the same Issue
- Masthead
- “Recent Progress in Regularization Theory” Minisymposium M5 of the 6-th International Conference “Inverse Problems: Modeling and Simulation”
- TGV for diffusion tensors: A comparison of fidelity functions
- Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces
- Variational smoothness assumptions in convergence rate theory—an overview
- On the smoothness and convexity of Besov spaces
- An H1-Kaczmarz reconstructor for atmospheric tomography
- A new cumulative wavefront reconstructor for the Shack–Hartmann sensor