The problem of the short-exposure image restoration for post detection turbulence compensation in minimum-redundancy linear optical arrays is considered for general a priori limitation. A decision procedure for solving the problems of this class is proposed that consists in formalizid registering the a priori information, finding a stable (regularized) solution and devising a numerical restoration algorithm, which based on the global optimization methods. It is shown that this optimization procedure can be used for image restoration in arbitrary optical aperture synthesis systems. An example of the undistorted test restoration is given.
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