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Cryo-Electron Tomography (cryo-ET) is a 3D imaging technology that enables the visualization of subcellular structures in situ at near-atomic resolution. Cellular cryo-ET images help in resolving the structures of macromolecules and…

Quantitative Methods · Quantitative Biology 2021-11-18 Hmrishav Bandyopadhyay , Zihao Deng , Leiting Ding , Sinuo Liu , Mostofa Rafid Uddin , Xiangrui Zeng , Sima Behpour , Min Xu

Understanding protein flexibility and its dynamic interactions with other molecules is essential for studying protein function. Although cryogenic electron microscopy(cryo-EM) provides an opportunity to observe macromolecular dynamics…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Bintao He , Yiran Cheng , Hongjia Li , Xiang Gao , Xin Gao , Fa Zhang , Renmin Han

We present a geometry-aware method for heterogeneous single-particle cryogenic electron microscopy (cryo-EM) reconstruction that predicts atomic backbone conformations. To incorporate protein-structure priors, we represent the backbone as a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Jonathan Krook , Axel Janson , Joakim Andén , Melanie Weber , Ozan Öktem

Protein structure prediction models are now capable of generating accurate 3D structural hypotheses from sequence alone. However, they routinely fail to capture the conformational diversity of dynamic biomolecular complexes, often requiring…

Machine Learning · Computer Science 2025-12-02 Rishwanth Raghu , Axel Levy , Gordon Wetzstein , Ellen D. Zhong

Cryogenic electron microscopy (cryo-EM) provides a unique opportunity to study the structural heterogeneity of biomolecules. Being able to explain this heterogeneity with atomic models would help our understanding of their functional…

Accurate orientation estimation is a crucial component of 3D molecular structure reconstruction, both in single-particle cryo-electron microscopy (cryo-EM) and in the increasingly popular field of cryo-electron tomography (cryo-ET). The…

Applications · Statistics 2026-02-25 Sheng Xu , Amnon Balanov , Amit Singer , Tamir Bendory

Cellular Electron Cryo-Tomography (CECT) is a powerful imaging technique for the 3D visualization of cellular structure and organization at submolecular resolution. It enables analyzing the native structures of macromolecular complexes and…

Quantitative Methods · Quantitative Biology 2018-05-16 Chang Liu , Xiangrui Zeng , Ruogu Lin , Xiaodan Liang , Zachary Freyberg , Eric Xing , Min Xu

Motivated by the task of 2-D classification in single particle reconstruction by cryo-electron microscopy (cryo-EM), we consider the problem of heterogeneous multireference alignment of images. In this problem, the goal is to estimate a…

Image and Video Processing · Electrical Eng. & Systems 2019-10-03 Chao Ma , Tamir Bendory , Nicolas Boumal , Fred Sigworth , Amit Singer

The interaction of a protein with its environment can be understood and controlled via its 3D structure. Experimental methods for protein structure determination, such as X-ray crystallography or cryogenic electron microscopy, shed light on…

Machine Learning · Computer Science 2025-04-24 Axel Levy , Eric R. Chan , Sara Fridovich-Keil , Frédéric Poitevin , Ellen D. Zhong , Gordon Wetzstein

Cryo-electron tomography (cryoET) is a technique that captures images of biological samples at different tilts, preserving their native state as much as possible. Along with the partial tilt series and noise, one of the major challenges in…

Signal Processing · Electrical Eng. & Systems 2023-07-26 Vinith Kishore , Valentin Debarnot , Ivan Dokmanić

Cryo-electron tomography (cryo-ET) is an imaging technique that allows three-dimensional visualization of macro-molecular assemblies under near-native conditions. Cryo-ET comes with a number of challenges, mainly low signal-to-noise and…

Single-particle cryo-electron microscopy (cryo-EM) reconstructs the three-dimensional (3D) structure of bio-molecules from a large set of 2D projection images with random and unknown orientations. A crucial step in the single-particle…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Mona Zehni , Laurène Donati , Emmanuel Soubies , Zhizhen J. Zhao , Michael Unser

Cryo-electron tomography (cryo-ET) enables 3D visualization of cellular structures. Accurate reconstruction of high-resolution volumes is complicated by the very low signal-to-noise ratio and a restricted range of sample tilts. Recent…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Vinith Kishore , Valentin Debarnot , AmirEhsan Khorashadizadeh , Ricardo D. Righetto , Benjamin D. Engel , Ivan Dokmanić

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from unknown viewing directions. Many algorithms for SPR start…

Optimization and Control · Mathematics 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

Single particle cryo-electron microscopy (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are random and unknown. One…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Roy R. Lederman , Amit Singer

Motivation: Cellular Electron CryoTomography (CECT) enables 3D visualization of cellular organization at near-native state and in sub-molecular resolution, making it a powerful tool for analyzing structures of macromolecular complexes and…

Quantitative Methods · Quantitative Biology 2017-04-14 Min Xu , Xiaoqi Chai , Hariank Muthakana , Xiaodan Liang , Ge Yang , Tzviya Zeev-Ben-Mordehai , Eric Xing

We target the problem of estimating the center of mass of noisy 2-D images. We assume that the noise dominates the image, and thus many standard approaches are vulnerable to estimation errors. Our approach uses a surrogate function to the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-04 Ayelet Heimowitz , Nir Sharon , Amit Singer

The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimensional structure of a molecule from a collection of its 2-dimensional projected images. In this article, we show that the basic premise of cryo-EM --- patching together…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Ke Ye , Lek-Heng Lim

Cryo-electron microscopy (cryo-EM) studies using single particle reconstruction is extensively used to reveal structural information of macromolecular complexes. Aiming at the highest achievable resolution, state of the art electron…

Computer Vision and Pattern Recognition · Computer Science 2020-05-04 Ramin Norousi , Stephan Wickles , Thomas Becker , Roland Beckmann , Volker J. Schmid , Achim Tresch

A single-particle cryo-electron microscopy (cryo-EM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional (3-D) molecular structure at unknown locations, taken under unknown…

Image and Video Processing · Electrical Eng. & Systems 2026-03-10 Shay Kreymer , Amit Singer , Tamir Bendory