Context.The knowledge of the point-spread function compensated by adaptive optics is of prime importance in several image restoration techniques such as deconvolution and astrometric/photometric algorithms. Wavefront-related data from the adaptive optics real-time computer can be used to accurately estimate the point-spread function in adaptive optics observations. The only point-spread function reconstruction algorithm implemented on astronomical adaptive optics system makes use of particular functions, named Uij. These Uij functions are derived from the mirror modes, and their number is proportional to the square number of these mirror modes.
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Gendron et al. (2006) studied this question.
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