1983
DOI: 10.1364/josa.73.001413
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Signal synthesis and reconstruction from partial Fourier-domain information

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Cited by 71 publications
(40 citation statements)
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“…both experimentally and theoretically [1]. On the experimental side, we have shown with images that if the correct one bit of phase is combined with a unity or average magnitude, the resulting image maintains many of the features of the original image, and in fact, is identical to the phase-only version of the even (symmetric) component of the image.…”
Section: Abstract Continue On Reerse If Neceuar' and Identtfy By Blocmentioning
confidence: 88%
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“…both experimentally and theoretically [1]. On the experimental side, we have shown with images that if the correct one bit of phase is combined with a unity or average magnitude, the resulting image maintains many of the features of the original image, and in fact, is identical to the phase-only version of the even (symmetric) component of the image.…”
Section: Abstract Continue On Reerse If Neceuar' and Identtfy By Blocmentioning
confidence: 88%
“…Theorem 5 is related to a result developed in [1] on the unique specification of one-dimensional signals with Fourier transform sign information. The one-dimensional result states constraints on the zeros of the z-transform X (z) which guarantee that X,(z) has zeros only on the unit circle (and that these zeros are simple zeros) and thus that sign {X, (w)} is sufficient to uniquely specify x [n ].…”
Section: Extensionsmentioning
confidence: 99%
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“…It has been experimentally established that for many images, the phase of the Fourier transform is more important than the magnitude [15], [24], [25]. Specifically if…”
Section: Significance Of Magnitude and Phasementioning
confidence: 99%
“…In most previous research pertaining to PSM, researchers have tried to use the rich information contained in the Fourier transform phase [8,9,15,30]. This is mainly attributed to successes in the study of image reconstruction from partial Fourier transform information, where the Fourier phase has been shown to contain more information than the Fourier magnitude [6,11,21,22]. So far, however, all results in texture analysis research seem to show that the textural content of the phase information is low.…”
Section: Fourier Transform Featuresmentioning
confidence: 99%