Uniqueness Theorem for Tomographic Phase Retrieval with Few Diffraction Patterns

12/29/2021

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by   Albert Fannjiang, et al.

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3D tomographic phase retrieval for discrete objects is analyzed. It is proved that the object defined on a n× n× n grid is uniquely determined, up to a global phase factor, with diffraction patterns in n+1 directions, which is argued to be very close, if not exactly equal, to the minimum number of diffractions patterns necessary for 3D tomographic phase retrieval.