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Closed-form object restoration from limited spatial and spectral information.

Given only a portion of an arbitrary finite-energy [L(2) (-infinity, infinity)] image and a portion of that image's spectrum, we present a closed-form method by which the entire image can be reconstructed. The algorithm is a basic augmentation of a recently proposed iterative restoration algorithm presented by Stark et al. [J. Opt. Soc. Am. 71, 635 (1981); Opt. Lett. 6, 259 (1981)]. Experimental results are presented.