Given only a portion of an arbitrary finite-energy [L2(−∞, ∞)] 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.
© 1981 Optical Society of America
Original Manuscript: July 16, 1981
Published: November 1, 1981
Robert J. Marks and Michael J. Smith, "Closed-form object restoration from limited spatial and spectral information," Opt. Lett. 6, 522-524 (1981)