# 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…

## 7 Citations

### Reconstruction from limited single-particle diffraction data via simultaneous determination of state, orientation, intensity, and phase

- PhysicsProceedings of the National Academy of Sciences
- 2017

This work develops a multitiered iterative phasing algorithm to reconstruct structural information from single-particle diffraction data by simultaneously determining the states, orientations, intensities, phases, and underlying structure in a single iterative procedure.

### Experimental 3D coherent diffractive imaging from photon-sparse random projections

- PhysicsIUCrJ
- 2019

It is demonstrated in an analog experiment at a synchrotron source that even at a sparsity level of order 1.3 × 10−3 photons per pixel per frame the 3D structure of a nano-fabricated sample can be obtained, even if the orientation of the particle for a given individual frame is not explicitly known.

### Deep neural networks for classifying complex features in diffraction images.

- Computer Science, PhysicsPhysical review. E
- 2019

It is found that deep neural networks significantly outperform previous attempts for sorting and classifying complex diffraction patterns and are a significant improvement for the much-needed assistance during postprocessing of large amounts of experimental coherent diffraction imaging data.

### Structure determination from single molecule X-ray scattering experiments using photon correlations.

- Physics
- 2017

Scattering experiments with femtosecond high-intensity free-electron laser pulses
provide a new route to macromolecular structure determination without the need
for crystallization at low material…

### Structure determination from single molecule X-ray scattering with three photons per image

- Physics, ChemistryNature Communications
- 2018

A de novo correlation-based approach is presented and it is shown that three coherently scattered photons per image suffice for structure determination and is robust to additional noise from incoherent scattering.

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