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- W1994990003 abstract "We define self-cross correlation as the cross correlation between an image and a truncated part of it. A new method for finding tight object-support bounds by use of the self-cross-correlation information is addressed. These bounds are used in the generalized-projection method to reconstruct photon-limited atmosphere-degraded images. The iterative Fourier-transform algorithm and the generalized-projection method, with use of the autocorrelation function only, have not been preferred to the Knox–Thompson and the triple-correlation methods for phase-retrieval problems, because the use of the autocorrelation function only usually does not give tight object-support bounds. The tight-object-support-bounds constraint is crucial for the uniqueness of phase retrieval by generalized projections. We find that the information contained in the average self cross correlation gives the required tight object-support bounds. The advantage of our method over the triple-correlation method lies in the speed of computation." @default.
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- W1994990003 date "1994-05-01" @default.
- W1994990003 modified "2023-09-27" @default.
- W1994990003 title "Reconstruction of photon-limited stellar images by generalized projections with use of the self-cross spectrum" @default.
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- W1994990003 doi "https://doi.org/10.1364/josaa.11.001589" @default.
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