Literature DB >> 18784036

Graph Laplacian tomography from unknown random projections.

Ronald R Coifman1, Yoel Shkolnisky, Fred J Sigworth, Amit Singer.   

Abstract

We introduce a graph Laplacian-based algorithm for the tomographic reconstruction of a planar object from its projections taken at random unknown directions. A Laplace-type operator is constructed on the data set of projections, and the eigenvectors of this operator reveal the projection orientations. The algorithm is shown to successfully reconstruct the Shepp-Logan phantom from its noisy projections. Such a reconstruction algorithm is desirable for the structuring of certain biological proteins using cryo-electron microscopy.

Mesh：

Year:  2008        PMID： 18784036     DOI： 10.1109/TIP.2008.2002305

Source DB:  PubMed          Journal:  IEEE Trans Image Process        ISSN： 1057-7149            Impact factor:   10.856


  18 in total

1.  Systematic determination of order parameters for chain dynamics using diffusion maps.

Authors:  Andrew L Ferguson; Athanassios Z Panagiotopoulos; Pablo G Debenedetti; Ioannis G Kevrekidis
Journal:  Proc Natl Acad Sci U S A       Date:  2010-07-19       Impact factor: 11.205

2.  Reference Free Structure Determination through Eigenvectors of Center of Mass Operators.

Authors:  Ronald R Coifman; Yoel Shkolnisky; Fred J Sigworth; Amit Singer
Journal:  Appl Comput Harmon Anal       Date:  2010-05       Impact factor: 3.055

3.  An experimental and computational investigation of spontaneous lasso formation in microcin J25.

Authors:  Andrew L Ferguson; Siyan Zhang; Igor Dikiy; Athanassios Z Panagiotopoulos; Pablo G Debenedetti; A James Link
Journal:  Biophys J       Date:  2010-11-03       Impact factor: 4.033

4.  Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming().

Authors:  A Singer; Y Shkolnisky
Journal:  SIAM J Imaging Sci       Date:  2011-06-07       Impact factor: 2.867

5.  Two-Dimensional Tomography from Noisy Projections Taken at Unknown Random Directions.

Authors:  A Singer; H-T Wu
Journal:  SIAM J Imaging Sci       Date:  2013-01-01       Impact factor: 2.867

6.  An Emergent Space for Distributed Data with Hidden Internal Order through Manifold Learning.

Authors:  Felix P Kemeth; Sindre W Haugland; Felix Dietrich; Tom Bertalan; Kevin Höhlein; Qianxiao Li; Erik M Bollt; Ronen Talmon; Katharina Krischer; Ioannis G Kevrekidis
Journal:  IEEE Access       Date:  2018-11-22       Impact factor: 3.367

7.  Conformational landscape of a virus by single-particle X-ray scattering.

Authors:  Ahmad Hosseinizadeh; Ghoncheh Mashayekhi; Jeremy Copperman; Peter Schwander; Ali Dashti; Reyhaneh Sepehr; Russell Fung; Marius Schmidt; Chun Hong Yoon; Brenda G Hogue; Garth J Williams; Andrew Aquila; Abbas Ourmazd
Journal:  Nat Methods       Date:  2017-08-14       Impact factor: 28.547

8.  Diffusion maps, clustering and fuzzy Markov modeling in peptide folding transitions.

Authors:  Lilia V Nedialkova; Miguel A Amat; Ioannis G Kevrekidis; Gerhard Hummer
Journal:  J Chem Phys       Date:  2014-09-21       Impact factor: 3.488

9.  Dynamics from noisy data with extreme timing uncertainty.

Authors:  R Fung; A M Hanna; O Vendrell; S Ramakrishna; T Seideman; R Santra; A Ourmazd; A Ourmazd
Journal:  Nature       Date:  2016-04-28       Impact factor: 49.962

10.  Estimating view parameters from random projections for Tomography using spherical MDS.

Authors:  Yi Fang; Sundar Murugappan; Karthik Ramani
Journal:  BMC Med Imaging       Date:  2010-06-18       Impact factor: 1.930
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