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Recovery of images embedded in periodic interference by a Fourier transform phase

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Abstract

If an unwanted image is superimposed on an original image, the Fourier transform phase of the degraded image highly depends on the Fourier transform magnitude of the unwanted image. The signals which produce negligible magnitudes do not significantly deviate the phase of the original image on superimposition. The degraded phase, which is approximately the original phase, can then be employed to reconstruct the original image. The class of signals which satisfy the above restriction on the magnitudes are generally periodic.

© 1986 Optical Society of America

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