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Journal ArticleDOI

Phase-Only Image Reconstruction From Offset Fourier Data

TLDR
In this paper, 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 are presented.
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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Citations
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Journal ArticleDOI

A theory of the effect of hard limiting and other distortions upon the quality of microwave images

TL;DR: This paper adds quantitative confirmation to the assertions of previous writers that the phase of the signal received in the aperture contains the preponderance of the information useful for image formation.
Journal ArticleDOI

Image representation by one-bit Fourier phase: theory, sampling, and coherent image model

TL;DR: The problem of recovering an image from its Fourier-transform phase quantized to one bit, or, equivalently, finding the locations of the zero crossings of the real part of the Fourier transform, is addressed and it is shown that sampling in the frequency domain presents a major obstacle to obtaining good reconstruction results.
Dissertation

Autofocus and Back-Projection in Synthetic Aperture Radar Imaging.

TL;DR: In this paper, the authors proposed a more broadly effective autofocus approach by adopting MCA to the aforementioned scenarios, which can be easily extended to more realistic scenarios with polarformat data, spherical wavefronts, and arbitrary terrain, due to its flexible linear-algebraic framework.
Proceedings ArticleDOI

Magnitude reconstruction of complex images from incomplete Fourier phase data

TL;DR: In this paper, the authors investigated the problem of reconstructing the magnitude of a complex-valued image from incomplete phase data of its Fourier transform by formulating the problem as passing the image through a bandpass filter of bandwidth Delta corresponding to the data sample size.
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