Algorithm, autocorrelation, convex body, covariogram, image analysis, least squares, phase retrieval, quasicrystal, set covariance
The Phase Retrieval Problem of Fourier analysis involves determining a function f on Rn from the modulus |f�| of its Fourier transform f�. This problem arises naturally and frequently in various areas of science, such as X-ray crystallography, electron microscopy, optics, astronomy, and remote sensing, in which only the magnitude of the Fourier transform can be measured and the phase is lost.
Journal of the American Mathematical Society
Required Publisher's Statement
First published in The Journal of the American Mathematical Society in Volume 24, Number 2, 2011, published by the American Mathematical Society)
Bianchi, Gabriele; Gardner, Richard J.; and Kiederlen, Markus, "Phase Retrieval for Characteristic Functions of Convex Bodies and Reconstruction from Covariograms" (2011). Mathematics Faculty Publications. 22.
Subjects - Topical (LCSH)
Convex bodies; Convex polytopes; Algorithms; Geometric tomography; Analysis of covariance
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