A New Algorithm for Closed Form Image Reconstruction from Fourier Transform Magnitude1

Abstract

Signal reconstruction from Fourier transform magnitude (FTM) has been the topic of much interest in the literature [1,2,3,4]. It has been recently shown that if the support of the image is known, then most images can be reconstructed from knowledge of only its FTM modulo a rotation by 180 degrees and a sign change [2].