Single-particle reconstruction using L(2)-gradient flow |
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Authors: | Li Ming Xu Guoliang Sorzano Carlos O S Sun Fei Bajaj Chandrajit L |
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Affiliation: | aLSEC, Institute of Computational Mathematics and Scientific/Engineering, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;bNational Laboratory of Biomacromolecules, Institute of Biophysics, Chinese Academy of Sciences, Beijing, China;cBiocomputing Unit, National Center of Biotechnology (CSIC), Cantoblanco, Madrid, Spain;dDepartment of Computer Sciences and Institute of Computational Engineering & Sciences, University of Texas at Austin, Austin, TX, USA |
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Abstract: | In this paper, we present an iterative algorithm for reconstructing a three-dimensional density function from a set of two dimensional electron microscopy images. By minimizing an energy functional consisting of a fidelity term and a regularization term, an L2-gradient flow is derived. The flow is integrated by a finite element method in the spatial direction and an explicit Euler scheme in the temporal direction. Our method compares favorably with those of the weighted back projection, Fourier method, algebraic reconstruction technique and simultaneous iterative reconstruction technique. |
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Keywords: | L2-gradient flow Reconstruction Electron microscopy Single-particle analysis |
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