Statistical synthesis of algorithms for the optimal processing of images of an astronomical object

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Photometry, Atmospheric Correction, Image Processing, Algorithms, Maximum Likelihood Estimates, Optimization, Signal To Noise Ratios, Statistical Analysis, Turbulence Effects

Scientific paper

The problem of processing a single realization of an image of an astronomical object distorted by atmospheric turbulence is examined. Equations of maximum likelihood are obtained for a Gaussian model of the spatial spectrum of a spot image in cases of small and large signal-noise ratios. An analytical solution of this solution is used to synthesize an optimal-processing algorithm and to elucidate the physical meaning of this algorithm.

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