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Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission particle images. The inherent symmetry in these macromolecules…

Optimization and Control · Mathematics 2024-11-06 Qi Zhang , Chenglong Bao , Hai Lin , Mingxu Hu

Cryo-electron microscopy (cryo-EM) has recently become a premier method for obtaining high-resolution structures of biological macromolecules. However, it is limited to biomolecular samples with low conformational heterogeneity, where all…

Cryo-electron microscopy (cryo-EM) has become a tool of fundamental importance in structural biology, helping us understand the basic building blocks of life. The algorithmic challenge of cryo-EM is to jointly estimate the unknown 3D poses…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Axel Levy , Frédéric Poitevin , Julien Martel , Youssef Nashed , Ariana Peck , Nina Miolane , Daniel Ratner , Mike Dunne , Gordon Wetzstein

We revisit the topic of common lines between projection images in single particle cryo-electron microscopy (cryo-EM). We derive a novel low-rank constraint on a certain $2n \times n$ matrix storing properly-scaled basis vectors for the…

Optimization and Control · Mathematics 2024-06-10 Tommi Muller , Adriana L. Duncan , Eric J. Verbeke , Joe Kileel

This paper addresses the challenge of classifying polarimetric SAR images by leveraging the peculiar characteristics of the polarimetric covariance matrix (PCM). To this end, a general framework to solve a multiple hypothesis test is…

Signal Processing · Electrical Eng. & Systems 2021-06-22 Pia Addabbo , Filippo Biondi , Carmine Clemente , Sudan Han , Danilo Orlando , Giuseppe Ricci

Single particle electron cryomicroscopy (cryo-EM) allows for structures of proteins and protein complexes to be determined from images of non-crystalline specimens. Cryo-EM data analysis requires electron microscope images of randomly…

Instrumentation and Detectors · Physics 2015-11-23 Jianhua Zhao , Marcus A. Brubaker , Samir Benlekbir , John L. Rubinstein

Electron cryomicroscopy (cryo-EM) is an imaging technique widely used in structural biology to determine the three-dimensional structure of biological molecules from noisy two-dimensional projections with unknown orientations. As the…

Numerical Analysis · Mathematics 2025-06-26 Bogdan Toader , Marcus A. Brubaker , Roy R. Lederman

Cryo-electron tomography (cryo-ET) enables in situ visualization of macromolecular structures, where subtomogram analysis tasks such as classification, alignment, and averaging are critical for structural determination. However, effective…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Runmin Jiang , Wanyue Feng , Yuntian Yang , Shriya Pingulkar , Hong Wang , Xi Xiao , Xiaoyu Cao , Genpei Zhang , Xiao Wang , Xiaolong Wu , Tianyang Wang , Yang Liu , Xingjian Li , Min Xu

A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab-initio three-dimensional model using two-dimensional projection images with unknown orientations. Common-lines based methods…

Machine Learning · Computer Science 2013-04-11 Lanhui Wang , Amit Singer , Zaiwen Wen

In recent years, an abundance of new molecular structures have been elucidated using cryo-electron microscopy (cryo-EM), largely due to advances in hardware technology and data processing techniques. Owing to these new exciting…

Information Theory · Computer Science 2020-04-22 Tamir Bendory , Alberto Bartesaghi , Amit Singer

We presented a new 3D refinement method for Cryo-EM single particle analysis which can improve the resolution of final electron density map in this paper. We proposed to enforce both sparsity and smoothness to improve the regularity of…

Image and Video Processing · Electrical Eng. & Systems 2020-03-12 Zhenwei Luo

In this report we study the problem of determining three-dimensional orientations for noisy projections of randomly oriented identical particles. The problem is of central importance in the tomographic reconstruction of the density map of…

Data Structures and Algorithms · Computer Science 2007-05-23 Taneli Mielikäinen , Janne Ravantti , Esko Ukkonen

Cryogenic electron microscopy (cryo-EM) provides images from different copies of the same biomolecule in arbitrary orientations. Here, we present an end-to-end unsupervised approach that learns individual particle orientations from cryo-EM…

Image and Video Processing · Electrical Eng. & Systems 2021-07-08 Youssef S. G. Nashed , Frederic Poitevin , Harshit Gupta , Geoffrey Woollard , Michael Kagan , Chuck Yoon , Daniel Ratner

We introduce a framework for recovering an image from its rotationally and translationally invariant features based on autocorrelation analysis. This work is an instance of the multi-target detection statistical model, which is mainly used…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Nicholas F. Marshall , Ti-Yen Lan , Tamir Bendory , Amit Singer

Cryogenic electron microscopy (cryo-EM) has transformed structural biology by allowing to reconstruct 3D biomolecular structures up to near-atomic resolution. However, the 3D reconstruction process remains challenging, as the 3D structures…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Bongjin Koo , Julien Martel , Ariana Peck , Axel Levy , Frédéric Poitevin , Nina Miolane

The problem of image restoration in cryo-EM entails correcting for the effects of the Contrast Transfer Function (CTF) and noise. Popular methods for image restoration include `phase flipping', which corrects only for the Fourier phases but…

Computer Vision and Pattern Recognition · Computer Science 2016-04-29 Tejal Bhamre , Teng Zhang , Amit Singer

Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models from hundreds of thousands of (noisy) two-dimensional…

Numerical Analysis · Mathematics 2023-07-19 Aaditya V. Rangan , Leslie Greengard

Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution of biomolecules by reconstructing 2D micrographs. However, the resolution and accuracy of the reconstructed particles are significantly reduced due to the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-03 Jing Zhang , Tengfei Zhao , ShiYu Hu , Xin Zhao

The computational pipelines of single-particle cryo-electron microscopy (cryo-EM) and cryo-electron tomography (cryo-ET) include an early particle-picking stage, in which a micrograph or tomogram is scanned to extract candidate particles,…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Amnon Balanov , Alon Zabatani , Tamir Bendory