Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with x-ray lasers
Julien Flamant, Nicolas Le Bihan, Andrew V Martin, Jonathan H Manton
PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2016
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 ..View full abstract
Awarded by Research Executive Agency, European Commission, through the International Outgoing Fellowship program of the 7th PCRD
Awarded by Australian Research Council
N.L.B.'s research was supported by the Research Executive Agency, European Commission, through the International Outgoing Fellowship (Grant No. GeoSToSip 326176) program of the 7th PCRD. A.V.M. was supported by the Australian Research Council's Discovery Early Career Researcher Award funding scheme (Grant No. DE140100624) and Centre of Excellence programs.