Fast Fourier and wavelet transforms for wavefront reconstruction in adaptive optics

Farid U. Dowla; James M. Brase; Scot S. Olivier; Charles A. Thompson

doi:10.1117/12.407495

22 November 2000 Fast Fourier and wavelet transforms for wavefront reconstruction in adaptive optics

Farid U. Dowla, James M. Brase, Scot S. Olivier, Charles A. Thompson

Proceedings Volume 4124, High-Resolution Wavefront Control: Methods, Devices, and Applications II; (2000) https://doi.org/10.1117/12.407495
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Wavefront reconstruction techniques using the least-squares estimators are computationally quite expensive. We compare wavelet and Fourier transforms techniques in addressing the computation issues of wavefront reconstruction in adaptive optics. It is shown that because the Fourier approach is not simply a numerical approximation technique unlike the wavelet method, the Fourier approach might have advantages in terms of numerical accuracy. To optimize the wavelet method, a statistical study might be necessary to use the best basis functions or 'approximation tree.'

Citation Download Citation

Farid U. Dowla, James M. Brase, Scot S. Olivier, and Charles A. Thompson "Fast Fourier and wavelet transforms for wavefront reconstruction in adaptive optics", Proc. SPIE 4124, High-Resolution Wavefront Control: Methods, Devices, and Applications II, (22 November 2000); https://doi.org/10.1117/12.407495

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