Iterative reconstruction of cryo-electron tomograms using nonuniform fast Fourier transforms |
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| Institution: | 1. Max-Planck Institute of Biochemistry, Department of Molecular Structural Biology, D-82152 Martinsried, Germany;2. Computer Aided Medical Procedures (CAMP), Technische Universität München, Germany;1. Department of Biochemistry and Molecular Biology, Bio21 Molecular Science and Biotechnology Institute, The University of Melbourne, Vic. 3010, Australia;2. Australian Research Council Centre of Excellence for Coherent X-ray Science, Australia;3. Department of Physics, La Trobe University, Vic. 3071, Australia;4. Electron Microscopy Unit, Bio21 Molecular Science and Biotechnology Institute, The University of Melbourne, Melbourne, Vic. 3010, Australia;5. Department of Computer Science and Software Engineering, The University of Melbourne, Vic. 3010, Australia;1. Supercomputing and Algorithms Group, Associated Unit CSIC-UAL, Universidad de Almeria, 04120 Almeria, Spain;2. Supercomputing and Algorithms Group, Dept. Computer Architecture, Universidad de Malaga, 29080 Malaga, Spain;3. Max-Planck Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany;4. National Centre for Biotechnology, National Research Council (CNB-CSIC), Campus UAM, Darwin 3, Cantoblanco, 28049 Madrid, Spain;1. King Abdullah University of Science and Technology (KAUST), Computational Bioscience Research Center (CBRC), Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, Thuwal 23955-6900, Saudi Arabia;2. Key Lab of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, China;3. University of Chinese Academy of Sciences, Beijing, China;4. State Key Lab for Computer Architecture, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, China;5. National Laboratory of Biomacromolecules, CAS Center for Excellence in Biomacromolecules, Institute of Biophysics, Chinese Academy of Sciences, 15 Datun Road, Beijing 100101, China;6. Center for Biological Imaging, Institute of Biophysics, Chinese Academy of Sciences, 15 Datun Road, Beijing 100101, China;1. Charles University in Prague, First Faculty of Medicine, Institute of Cellular Biology and Pathology, Albertov 4, 128 01 Prague 2, Czech Republic;2. Sir William Dunn School of Pathology, University of Oxford, South Parks Road, Oxford OX1 3RE, UK;3. MPI-CBG, Photenhauerstr. 108, 01307 Dresden, Germany;4. Centre for Biomedical Image Analysis, Faculty of Informatics, Masaryk University, Brno, Czech Republic |
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| Abstract: | Algorithms for three-dimensional (3D) reconstruction of objects based on their projections are essential in various biological and medical imaging modalities. In cryo-electron tomography (CET) a major challenge for reconstruction is the limited range of projection angles, which manifests itself as a “missing wedge” of data in Fourier space making the reconstruction problem ill-posed. Here, we apply an iterative reconstruction method that makes use of nonuniform fast Fourier transform (NUFFT) to the reconstruction of cryo-electron tomograms. According to several measures the reconstructions are superior to those obtained using conventional methods, most notably weighted backprojection. Most importantly, we show that it is possible to fill in partially the unsampled region in Fourier space with meaningful information without making assumptions about the data or applying prior knowledge. As a consequence, particles of known structure can be localized with higher confidence in cryotomograms and subtomogram averaging yields higher resolution densities. |
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| Keywords: | Cryoelectron tomography Three-dimensional reconstruction Iterative reconstruction Image processing |
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