Abstract

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

Restoration of arbitrary finite-energy optical objects from limited spatial and spectral information

H. Stark, D. Cahana, and H. Webb
J. Opt. Soc. Am. 71(6) 635-642 (1981)

Is it possible to restore an optical object from its low-pass spectrum and its truncated image?

H. Stark, D. Cahana, and G. J. Habetler
Opt. Lett. 6(6) 259-260 (1981)

Optical applications of von Neumann’s alternating-projection theorem

W. Duane Montgomery
Opt. Lett. 7(1) 1-3 (1982)

Closed form bandlimited image extrapolation

David K. Smith and Robert J. Marks
Appl. Opt. 20(14) 2476-2483 (1981)

Direct algorithm for digital image restoration

N. N. Abdelmalek, T. Kasvand, J. Olmstead, and M. M. Tremblay
Appl. Opt. 20(24) 4227-4233 (1981)