Phase-Only Image Reconstruction From Offset Fourier Data

David C. Munson, Jr.; Jorge L. C. Sanz

doi:10.1117/12.7973880

1 May 1986 Phase-Only Image Reconstruction From Offset Fourier Data

David C. Munson, Jr., Jorge L. C. Sanz

Author Affiliations +

Optical Engineering, Vol. 25, Issue 5, 255655 (May 1986). https://doi.org/10.1117/12.7973880

Abstract

In a recent paper we investigated the problem of reconstructing the magnitude of a 2-D complex signal f from samples of the Fourier transform of f lying in a small region offset from the origin. The primary application of interest was synthetic aperture radar. We showed that high quality speckle reconstructions are possible so long as the phase of f is highly random. In this paper we explore the possibility of Fourier-offset reconstruction from just the phase of the Fourier transform. We provide and compare a large number of computer-simulated image reconstructions from phase plus magnitude, phase only (constant magnitude), magnitude only (zero phase), and magnitude plus quantized phase. A number of conclusions are drawn regarding Fourier offset phase-only reconstruction, and several topics are suggested for further research.

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David C. Munson, Jr. and Jorge L. C. Sanz "Phase-Only Image Reconstruction From Offset Fourier Data," Optical Engineering 25(5), 255655 (1 May 1986). https://doi.org/10.1117/12.7973880

Published: 1 May 1986

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