Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with x-ray lasers

Flamant, J, Le Bihan, N, Martin, A and Manton, J 2016, 'Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with x-ray lasers', Physical Review E, vol. 93, no. 5, pp. 1-14.


Document type: Journal Article
Collection: Journal Articles

Title Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with x-ray lasers
Author(s) Flamant, J
Le Bihan, N
Martin, A
Manton, J
Year 2016
Journal name Physical Review E
Volume number 93
Issue number 5
Start page 1
End page 14
Total pages 14
Publisher American Physical Society
Abstract In three-dimensional (3D) single particle imaging with x-ray free-electron lasers, particle orientation is not recorded during measurement but is instead recovered as a necessary step in the reconstruction of a 3D image from the diffraction data. Here we use harmonic analysis on the sphere to cleanly separate the angular and radial degrees of freedom of this problem, providing new opportunities to efficiently use data and computational resources. We develop the expansion-maximization-compression algorithm into a shell-by-shell approach and implement an angular bandwidth limit that can be gradually raised during the reconstruction. We study the minimum number of patterns and minimum rotation sampling required for a desired angular and radial resolution. These extensions provide new avenues to improve computational efficiency and speed of convergence, which are critically important considering the very large datasets expected from experiment.
Subject Condensed Matter Imaging
DOI - identifier 10.1103/PhysRevE.93.053302
Copyright notice © 2016 American Physical Society.
ISSN 2470-0045
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