Abstract

The direct Fourier phase averaging of an ensemble of randomly blurred images has long been thought to be too difficult a problem to undertake realistically owing to the necessity of proper phase unwrapping. It is shown that it is nevertheless possible to average the Fourier phase information in an image ensemble without calculating phases by using the technique of cepstral gradients.

© 1983 Optical Society of America

Image restoration and resolution enhancement

Charles L. Byrne, Raymond M. Fitzgerald, Michael A. Fiddy, Trevor J. Hall, and Angela M. Darling
J. Opt. Soc. Am. 73(11) 1481-1487 (1983)

Signal restoration from phase by projections onto convex sets

Aharon Levi and Henry Stark
J. Opt. Soc. Am. 73(6) 810-822 (1983)

A posteriori method of image restoration

John Baird Morton and Harry C. Andrews
J. Opt. Soc. Am. 69(2) 280-290 (1979)

Composite two-dimensional phase-restoration procedure

R. H. T. Bates and W. R. Fright
J. Opt. Soc. Am. 73(3) 358-365 (1983)

Recursive phase retrieval using boundary conditions

Monson H. Hayes and Thomas F. Quatieri
J. Opt. Soc. Am. 73(11) 1427-1433 (1983)