Phase Retrieval for Discrete Functions with Support Constraints: Summary

The phase retrieval problem, i.e., the problem of reconstructing a function from its Fourier modulus or, equivalently, from its autocorrelation function, arises in many fields, e.g., astronomy, wave-front sensing, X-ray crystallography, electron microscopy, particle scattering and pupil-function determination. Here we consider the case in which the object function is assumed to be defined on a two-dimensional discrete grid of sample points.