[图书][B] Stochastic models, information theory, and Lie groups, volume 2: Analytic methods and modern applications

GS Chirikjian - 2011 - books.google.com
The subjects of stochastic processes, information theory, and Lie groups are usually treated
separately from each other. This unique two-volume set presents these topics in a unified …

Rotationally invariant image representation for viewing direction classification in cryo-EM

Z Zhao, A Singer - Journal of structural biology, 2014 - Elsevier
We introduce a new rotationally invariant viewing angle classification method for identifying,
among a large number of cryo-EM projection images, similar views without prior knowledge …

A fast image alignment approach for 2D classification of cryo-EM images using spectral clustering

X Wang, Y Lu, J Liu - Current Issues in Molecular Biology, 2021 - mdpi.com
Three-dimensional (3D) reconstruction in single-particle cryo-electron microscopy (cryo-EM)
is a significant technique for recovering the 3D structure of proteins or other biological …

A stochastic kinematic model of class averaging in single-particle electron microscopy

W Park, CR Midgett, DR Madden… - … journal of robotics …, 2011 - journals.sagepub.com
Single-particle electron microscopy is an experimental technique that is used to determine
the three-dimensional (3D) structure of biological macromolecules and the complexes that …

An assembly automation approach to alignment of noncircular projections in electron microscopy

W Park, GS Chirikjian - IEEE Transactions on Automation …, 2014 - ieeexplore.ieee.org
In single-particle electron microscopy (EM), multiple micrographs of identical
macromolecular structures or complexes are taken from various viewing angles to obtain a …

Radial recombination for rigid rotational alignment of images and volumes

AV Rangan - Inverse Problems, 2022 - iopscience.iop.org
A common task in single particle electron cryomicroscopy (cryo-EM) is the rigid alignment of
images and/or volumes. In the context of images, a rigid alignment involves estimating the …

Bayesian methods for the shape invariant model

D Bontemps, S Gadat - 2014 - projecteuclid.org
In this paper, we consider the so-called Shape Invariant Model that is used to model a
function f^0 submitted to a random translation of law g^0 in a white noise. This model is of …

Improving the visualization of cryo-EM density reconstructions

M Spiegel, AK Duraisamy, GF Schröder - Journal of structural biology, 2015 - Elsevier
Cryo-electron microscopy yields 3D density maps of macromolecules from single-particle
images, tomograms, or 2D crystals. An optimal visualization of the density map is important …

Estimating the tails of the spectrum of the Hessian of the log-likelihood for\textit {ab-initio} single-particle reconstruction in electron cryomicroscopy

AV Rangan, WS Tang, P Cossio, K Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
Electron cryomicroscopy (cryo-EM) is a technique in structural biology used to reconstruct
accurate volumetric maps of molecules. One step of the cryo-EM pipeline involves solving …

Factorization of the translation kernel for fast rigid image alignment

A Rangan, M Spivak, J Andén, A Barnett - Inverse Problems, 2020 - iopscience.iop.org
An important component of many image alignment methods is the calculation of inner
products (correlations) between an image of pixels and another image translated by some …