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One of the difficulties in 3D reconstruction of molecules from images in single particle Cryo-Electron Microscopy (Cryo-EM), in addition to high levels of noise and unknown image orientations, is heterogeneity in samples: in many cases, the samples contain a mixture of molecules, or multiple conformations of one molecule.
F. Peter and H. Weyl, “Die vollständigkeit der primitiven darstellungen einer geschlossenen kontinuierlichen gruppe,” Mathematische Annalen
1927
Earlier work this paper cites.
R. R. Coifman and G. Weiss, “Representations of compact groups and spherical harmonics,” Enseignement math
1968
Earlier work this paper cites.
Academic press, 1985
H. Dym and H. P. McKean, Fourier series and integrals · 1985
Earlier work this paper cites.
Siam, 1986
F. Natterer, The mathematics of computerized tomography · 1986
Earlier work this paper cites.
M. Van Heel, “Angular reconstitution: a posteriori assignment of projection directions for 3d reconstruction,” Ultramicroscopy
1987
Earlier work this paper cites.
B. M. Sadler and G. B. Giannakis, “Shift-and rotation-invariant object reconstruction using the bispectrum,” JOSA A
1992
Earlier work this paper cites.
Cambridge University Press, 1995
S. Sternberg, Group theory and physics · 1995
Earlier work this paper cites.
M. X. Goemans and D. P. Williamson, “Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming,” Journal of the ACM (JACM)
1995
Earlier work this paper cites.
A. Frieze and M. Jerrum, “Improved approximation algorithms for max k-cut and max bisection,” in Integer Programming and Combinatorial Optimization
1995
Earlier work this paper cites.
M. van Heel, B. Gowen, R. Matadeen, E. V. Orlova, R. Finn, T. Pape, D. Cohen, H. Stark, R. Schmidt, M. Schatz, et al
2000
Earlier work this paper cites.
Oxford University Press, 2006
J. Frank, Three-dimensional electron microscopy of macromolecular assemblies: visualization of biological molecules in their native state · 2006
Earlier work this paper cites.
G. Herman and M. Kalinowski, “Classification of heterogeneous electron microscopic projections into homogeneous subsets,” Ultramicroscopy
2008
Cited alongside, same era.
M. Grant and S. Boyd, “Graph implementations for nonsmooth convex programs,” in Recent Advances in Learning and Control
2008
Cited alongside, same era.
M. Shatsky, R. J. Hall, E. Nogales, J. Malik, and S. E. Brenner, “Automated multi-model reconstruction from single-particle electron microscopy data,” Journal of structural biology
2010
Cited alongside, same era.
S. H. Scheres, “Chapter eleven-classification of structural heterogeneity by maximum-likelihood methods,” Methods in enzymology
2010
Cited alongside, same era.
A. Singer, R. R. Coifman, F. J. Sigworth, D. W. Chester, and Y. Shkolnisky, “Detecting consistent common lines in cryo-em by voting,” Journal of structural biology
2010
A. S. Bandeira, M. Charikar, A. Singer, and A. Zhu, “Multireference alignment using semidefinite programming,” in Proceedings of the 5th conference on Innovations in theoretical computer science
2014
Later among the works it cites.
M. Grant and S. Boyd, “CVX: Matlab software for disciplined convex programming, version 2.1.” http://cvxr.com/cvx
2014
Later among the works it cites.
Z. Zhao and A. Singer, “Rotationally invariant image representation for viewing direction classification in cryo-em,” Journal of structural biology
2014
Later among the works it cites.
2015
Later among the works it cites.
E. Katsevich, A. Katsevich, and A. Singer, “Covariance matrix estimation for the cryo-em heterogeneity problem,” SIAM journal on imaging sciences
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Cited alongside, same era.
F. J. Sigworth, P. C. Doerschuk, J.-M. Carazo, and S. H. Scheres, “Chapter ten-an introduction to maximum-likelihood methods in cryo-em,” Methods in enzymology
2010
Cited alongside, same era.
H. Y. Liao and J. Frank, “Classification by bootstrapping in single particle methods,” in 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro
2010
Cited alongside, same era.
P. A. Penczek, M. Kimmel, and C. M. Spahn, “Identifying conformational states of macromolecules by eigen-analysis of resampled cryo-em images,” Structure
2011
Cited alongside, same era.
A. Singer and Y. Shkolnisky, “Three-dimensional structure determination from common lines in cryo-em by eigenvectors and semidefinite programming,” SIAM journal on imaging sciences
2011
Cited alongside, same era.
Y. Shkolnisky and A. Singer, “Viewing direction estimation in cryo-em using synchronization,” SIAM journal on imaging sciences
2012
Cited alongside, same era.
M. Liao, E. Cao, D. Julius, and Y. Cheng, “Structure of the trpv1 ion channel determined by electron cryo-microscopy,” Nature
2013
Cited alongside, same era.
2015
Later among the works it cites.
J. Andén, E. Katsevich, and A. Singer, “Covariance estimation using conjugate gradient for 3d classification in cryo-em,” in Biomedical Imaging (ISBI), 2015 IEEE 12th International Symposium on
2015
Later among the works it cites.
2015
Later among the works it cites.
A. Doerr, “Single-particle cryo-electron microscopy,” Nature Methods
2016
Closest in time.
E. Nogales, “The development of cryo-em into a mainstream structural biology technique,” Nature Methods
2016
Closest in time.
R. M. Glaeser, “How good can cryo-em become?,” Nature methods
2016
Closest in time.