A Wavelet Based Alternative Iteration Method for the Orientation Refinement of Cryo-Electron Microscopy 3D Reconstruction

A Wavelet Based Alternative Iteration Method for the Orientation Refinement of Cryo-Electron Microscopy 3D Reconstruction

Cryo-electron microscopy (cryo-EM) single particle method (SPM) reconstructs the three-dimensional (3D) density map of biological macromolecules using 2D particle images with estimated orientations. The estimated orientations have errors which result in the decrease in resolution of the reconstruct...

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Bibliographic Details
Main Authors: Zhucui Jing, Ming Li
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-06-01
Series:Mathematical Modelling and Analysis
Subjects:
alternating-direction method
convergence analysis
inverse problem
nonlinear least squares
Haar wavelet
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1009
Description
Summary:Cryo-electron microscopy (cryo-EM) single particle method (SPM) reconstructs the three-dimensional (3D) density map of biological macromolecules using 2D particle images with estimated orientations. The estimated orientations have errors which result in the decrease in resolution of the reconstructed map. We propose a wavelet orthonormal bases based iteration method by refining alternatively the orientations and the map using Levenberg–Marquardt algorithm and soft-thresholding, respectively. The convergence analysis of the proposed algorithm is provided and numerical experiments for simulated particle images show its good performance.
ISSN:1392-6292
1648-3510

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