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The weighted centers of gravity algorithm calculate the centroids coordinates of the Shack-Hartmann patterns which are recorded by the Shack-Hartmann wave front sensor in the process of adaptive correction of turbulent distortions of laser radiation. It is believed that the algorithm of weighted centers of gravity gives an optimal result regardless of the signalto-noise ratio for point sources. In addition to the algorithm for weighted centers of gravity of focal spots, there are other algorithms for centering the image in the plane of the receiving device. Here, based on numerical experiments, we give an estimate of the weighting and quadrant algorithms for centering the focal spots of the registered Shack-Hartmann pattern.
D. V. Kazakov,V. V. Lavrinov, andL. N. Lavrinova
"Results of numerical testing of algorithms for centering of focal spots in a Shack-Hartmann wave front sensor", Proc. SPIE 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 108332D (13 December 2018); https://doi.org/10.1117/12.2504557
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D. V. Kazakov, V. V. Lavrinov, L. N. Lavrinova, "Results of numerical testing of algorithms for centering of focal spots in a Shack-Hartmann wave front sensor," Proc. SPIE 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 108332D (13 December 2018); https://doi.org/10.1117/12.2504557