Method of moments for 3D single particle ab initio modeling with non-uniform distribution of viewing angles

@article{Sharon2020MethodOM,
  title={Method of moments for 3D single particle ab initio modeling with non-uniform distribution of viewing angles},
  author={Nir Sharon and Joe Kileel and Yuehaw Khoo and Boris Landa and Amit Singer},
  journal={Inverse Problems},
  year={2020},
  volume={36}
}
Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly popular technique for determining the 3D structure of a molecule from several noisy 2D projections images taken at unknown viewing angles. Most reconstruction algorithms require a low-resolution initialization for the 3D structure, which is the goal of ab initio modeling. Suggested by Zvi Kam in 1980, the method of moments (MoM) offers one approach, wherein low-order statistics of the 2D images are computed… 

Toward single particle reconstruction without particle picking: Breaking the detection limit

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Computational Methods for Single-Particle Cryo-EM

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The sample complexity of sparse multi-reference alignment and single-particle cryo-electron microscopy

The second moment of the MRA and cryo-EM models is analyzed, showing that in both models the second moment determines the signal up to a set of unitary matrices, whose dimension is governed by the decomposition of the space of signals into irreducible representations of the group.

Orthogonal Matrix Retrieval with Spatial Consensus for 3D Unknown-View Tomography

This work proposes to jointly recover the density map and the orthogonal matrices by requiring that they be mutually consistent, and designs an easy-to-compute initial density map which effectively mitigates the non-convexity of the reconstruction problem.

Fast Principal Component Analysis for Cryo-EM Images

A fast method for estimating a compressed representa- tion of the 2-D covariance matrix of noisy cryo-electron microscopy projection images that enables fast PCA computation and is based on a new algorithm for expanding ages in the Fourier-Bessel basis.

Denoiser-based projections for 2-D super-resolution multi-reference alignment

This work builds on recent advances in image processing, and harness the power of denoisers as priors of images, and design two computational frameworks to estimate the image: projected expectation-maximization and projected method of moments.

3D Unknown View Tomography Via Rotation Invariants

The method obviates the need to recover the projection angles by extracting a set of rotation-invariant features from the noisy projection data by reconstructing the density map through a constrained nonconvex optimization.

Motion Detection in Diffraction Tomography by Common Circle Methods

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