21 September 2015 Phase retrieval for multiple objects
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Abstract
The problem of reconstructing multiple objects from the average of their diffracted intensities is considered. Three cases of technical interest are studied. The first is where the incoherent average is measured over a single object that adopts a number of positions described by a symmetry group. The second is where the average is over a small number of distinct objects. The third is where the average is over a set of unit cells that can occur in an ensemble of nanocrystals as a result of different edge terminations. As a result of some redundancy in the multi-dimensional phase problem, a unique solution can be obtained for these problems under some circumstances. Uniqueness is characterised using the constraint ratio. Iterative projection algorithms can be adapted to accommodate these cases and example simulated reconstructions are presented.
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Rick P. Millane, Rick P. Millane, Romain Arnal, Romain Arnal, Joe P. J. Chen, Joe P. J. Chen, } "Phase retrieval for multiple objects", Proc. SPIE 9600, Image Reconstruction from Incomplete Data VIII, 960008 (21 September 2015); doi: 10.1117/12.2187631; https://doi.org/10.1117/12.2187631
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