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ORTHOGONAL MATRIX RETRIEVAL IN CRYO-ELECTRON MICROSCOPY

Author(s): Bhamre, Tejal; Zhang, Teng; Singer, Amit

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dc.contributor.authorBhamre, Tejal-
dc.contributor.authorZhang, Teng-
dc.contributor.authorSinger, Amit-
dc.date.accessioned2019-08-29T17:01:52Z-
dc.date.available2019-08-29T17:01:52Z-
dc.date.issued2015en_US
dc.identifier.citationBhamre, Tejal, Zhang, Teng, Singer, Amit. (2015). ORTHOGONAL MATRIX RETRIEVAL IN CRYO-ELECTRON MICROSCOPY. 2015 IEEE 12TH INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 1048 - 1052en_US
dc.identifier.issn1945-7928-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr18b1p-
dc.description.abstractIn single particle reconstruction (SPR) from cryo-electron microscopy (EM), the 3D structure of a molecule needs to be determined from its 2D projection images taken at unknown viewing directions. Zvi Kam showed already in 1980 that the autocorrelation function of the 3D molecule over the rotation group SO(3) can be estimated from 2D projection images whose viewing directions are uniformly distributed over the sphere. The autocorrelation function determines the expansion coefficients of the 3D molecule in spherical harmonics up to an orthogonal matrix of size (2l + 1) x (2l + 1) for each l = 0, 1, 2, ... . In this paper we show how techniques for solving the phase retrieval problem in X-ray crystallography can be modified for the cryo-EM setup for retrieving the missing orthogonal matrices. Specifically, we present two new approaches that we term Orthogonal Extension and Orthogonal Replacement, in which the main algorithmic components are the singular value decomposition and semidefinite programming. We demonstrate the utility of these approaches through numerical experiments on simulated data.en_US
dc.format.extent1048 - 1052en_US
dc.language.isoen_USen_US
dc.relation.ispartof2015 IEEE 12TH INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI)en_US
dc.rightsAuthor's manuscripten_US
dc.titleORTHOGONAL MATRIX RETRIEVAL IN CRYO-ELECTRON MICROSCOPYen_US
dc.typeConference Articleen_US
dc.date.eissued2015-07-23en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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