29 January 1988 Gerchberg-Saxton Phase Retrieval When Image Magnitude Given Only Approximately
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Abstract
We show that the Gerchberg-Saxton iterative phase recovery algorithm can generate usefully accurate image phase distributions, when the magnitude of the image's Fourier transform is given (or measured) very accurately but only a moderately accurate version of the image magnitude is available. The performance of our modified Gerchberg-Saxton algorithm is illustrated with two examples for which the data were computer-generated: the first, being one-dimensional, is relevant to acoustic microscopy, while the second relates to deducing, from the magnitude of its radiation pattern, the forms of the imperfections in the two-dimensional aperture distribution of a radio antenna.
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R. H.T. Bates, R. H.T. Bates, W. R. Fright, W. R. Fright, P. H. Gardenier, P. H. Gardenier, } "Gerchberg-Saxton Phase Retrieval When Image Magnitude Given Only Approximately", Proc. SPIE 0828, Digital Image Recovery and Synthesis, (29 January 1988); doi: 10.1117/12.942096; https://doi.org/10.1117/12.942096
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