Physical Sciences and Mathematics Commons^™

Phase Retrieval For Characteristic Functions Of Convex Bodies And Reconstruction From Covariograms, Gabriele Bianchi, Richard J. Gardner, Markus Kiederlen

Mathematics Faculty Publications

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.