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Improvement in evaluating the logarithmic Hilbert transform in phase retrieval

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Abstract

The logarithmic Hilbert transform in one dimension can be used for two-dimensional phase retrieval. I present an effective algorithm of numerical evaluation of the convolution integral in the logarithmic Hilbert transform. The usefulness of the method is shown in computer-simulation studies of the reconstruction of the two-dimensional real and positive objects.

© 1986 Optical Society of America

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