Image recovery from correlations.

Details Image recovery from correlations. Image recovery from correlations.

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992josaa...9.1266s&link_type=abstract

Journal of the Optical Society of America A, Vol. 9, No. 8, p. 1266 - 1272

Astronomy and Astrophysics

Astronomy

3

Scientific paper

Many image-recovery problems involve the determination of a real-valued, nonnegative image whose nth-order correlation approximates some measured or specified function. Special cases are image recovery from second-order correlations, or phase retrieval, and image recovery from third-order correlations, or triple-correlation recovery. Examples include astronomical speckle imaging, spectroscopy, imaging correlography, and the measurement of ultrashort laser pulses. The authors propose an iterative technique for recovering images from measurements of nth-order correlations. This technique is shown to preserve nonnegativity, allow for the inclusion of known support constraints, and produce a sequence of images whose nth-order correlations better approximate the measured data as the iterations proceed.

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