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

@article{Flamant2016ExpansionmaximizationcompressionAW,
  title={Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with x-ray lasers.},
  author={Julien Flamant and Nicolas Le Bihan and Andrew V. Martin and Jonathan H. Manton},
  journal={Physical review. E},
  year={2016},
  volume={93 5},
  pages={
          053302
        }
}
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… 
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