The iterative blind deconvolution algorithm proposed by Ayers and Dainty [ Opt. Lett. 13, 547 ( 1988)] and improved on by Davey et al. [ Opt. Commun. 69, 353 ( 1989)] is applied to the problem of phase retrieval, which is a special case of the blind deconvolution problem. A close relationship between this algorithm and the error-reduction version of the iterative Fourier-transform phase-retrieval algorithm is shown analytically. The performance of the blind deconvolution algorithm is compared with the error-reduction and hybrid input–output versions of the iterative Fourier-transform algorithm by reconstruction experiments on real-valued, nonnegative images with and without noise.
© 1990 Optical Society of America
Original Manuscript: July 29, 1989
Manuscript Accepted: October 24, 1989
Published: March 1, 1990
J. H. Seldin and J. R. Fienup, "Iterative blind deconvolution algorithm applied to phase retrieval," J. Opt. Soc. Am. A 7, 428-433 (1990)