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17 October 1997 Application of wavelets to wavefront reconstruction in adaptive optical systems
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Abstract
One of the principle difficulties with popular wavefront reconstruction techniques such as least-squares estimators is that they are computationally intensive. In this paper a least-squares reconstructor is represented in terms of a 4-D wavelet basis. This representation is called the multiresolution wavefront reconstructor (MWR). A thresholding operation is applied to the MWR in order to remove wavelet coefficients of negligible magnitude. The resulting thresholded reconstructor matrix is sparse, leading to an estimate calculated in O(N3) operations, as opposed to O(N4) operations for the standard least-squares wavefront reconstructor. The thresholded multiresolution wavefront reconstructor is compared with other techniques in terms of computational complexity.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kevin West Bowman and William T. Rhodes "Application of wavelets to wavefront reconstruction in adaptive optical systems", Proc. SPIE 3126, Adaptive Optics and Applications, (17 October 1997); https://doi.org/10.1117/12.290155
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