Tamir Bendory coauthored a study of Fourier phase retrieval with Robert Beinert and Yonina C. Eldar. It examines reconstruction from Fourier magnitudes and distinguishes unavoidable ambiguities from genuine uniqueness failures. Global phase, translation and conjugate reflection already preserve basic magnitude data, so meaningful recovery claims must account for these symmetries.[ref]
Fourier Phase Retrieval: Uniqueness and Algorithms by Tamir Bendory and others. Introduction and Section 3.1
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