Constrained Total Variation Based Three-Dimension Single Particle Reconstruction in Cryogenic Electron Microscopy

The single particle reconstruction (SPR) in cryogenic electron microscopy is considered in this paper. This is an emerging technique for determining the three-dimensional (3D) structure of biological specimens from a limited number of the micrographs. Because the micrographs are modulated by contras...

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Bibliographic Details
Published in:Journal of scientific computing 2020-11, Vol.85 (2), p.37, Article 37
Main Authors: Pan, Huan, Wen, You-Wei, Zeng, Tieyong
Format: Article
Language:English
Subjects:
Algorithms
Computational Mathematics and Numerical Analysis
Electron microscopy
Fourier transforms
Heat treating
Ill posed problems
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Microscopy
Minimax technique
Photomicrographs
Reconstruction
Regularization methods
Saddle points
Theoretical
Transfer functions
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Summary:The single particle reconstruction (SPR) in cryogenic electron microscopy is considered in this paper. This is an emerging technique for determining the three-dimensional (3D) structure of biological specimens from a limited number of the micrographs. Because the micrographs are modulated by contrast transfer functions and corrupted by heavy noise, the number of micrographs might be limited, in general it is a serious ill-posed problem to reconstruct the original particle. In this paper, we propose a constrained total variation (TV) model for single particle reconstruction. The TV norm is represented by the dual formulation that changes the SPR problem into a minimax one. The primal-dual method is applied to find the saddle point of the minimax problem, and the convergence condition is given. Numerical results show that the proposed model is very effective in reconstructing the particle.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-020-01344-4