Method of moments for 3D single particleab initiomodeling with non-uniform distribution of viewing angles

DOI10.1088/1361-6420/ab6139zbMath1468.94024arXiv1907.05377OpenAlexW3105017158MaRDI QIDQ5000567

Nir Sharon, Boris Landa, Joe Kileel, Amit Singer, Yuehaw Khoo

Publication date: 14 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05377

zbMATH Keywords

spherical harmonicsnon-convex optimizationWigner matricesmethod of momentscryo-EMautocorrelation analysisab initio modeling

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32)

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Signal recovery from a few linear measurements of its high-order spectra, Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model, Orthogonal Matrix Retrieval with Spatial Consensus for 3D Unknown View Tomography, Regularizing Orientation Estimation in Cryogenic Electron Microscopy Three-Dimensional Map Refinement through Measure-Based Lifting over Riemannian Manifolds, Toward Single Particle Reconstruction without Particle Picking: Breaking the Detection Limit, Motion detection in diffraction tomography by common circle methods, Maximum likelihood for high-noise group orbit estimation and single-particle cryo-EM, Complete \({\boldsymbol{SE(3)}}\) Invariants for a Comeagre Set of \({\boldsymbol{C^3}}\) Compact Orientable Surfaces in \(\mathbb{R}^{\boldsymbol{3}}\), Power spectrum unbiasing for dilation-invariant multi-reference alignment, Rates of estimation for high-dimensional multireference alignment, Multi-target detection with rotations, Multi-Reference Alignment in High Dimensions: Sample Complexity and Phase Transition

Uses Software

• CTFFIND
• FREALIGN
• RELION
• cryoSPARC

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