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In this paper we study the formal algebraic structure underlying the intrinsic classification algorithm, recently introduced by Hadani, Shkolnisky, Singer and Zhao, for classifying noisy projection images of similar viewing directions in…

Representation Theory · Mathematics 2011-04-07 Ronny Hadani , Amit Singer

We propose a method to reconstruct the 3-D molecular structure from micrographs collected at just one sample tilt angle in the random conical tilt scheme in cryo-electron microscopy. Our method uses autocorrelation analysis on the…

Data Analysis, Statistics and Probability · Physics 2021-01-12 Ti-Yen Lan , Nicolas Boumal , Amit Singer

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

Single-particle cryo-Electron Microscopy (EM) has become a popular technique for determining the structure of challenging biomolecules that are inaccessible to other technologies. Recent advances in automation, both in data collection and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-31 Ye Zhou , Amit Moscovich , Tamir Bendory , Alberto Bartesaghi

Single-particle cryo-EM has transformed structural biology but still faces challenges in resolving conformational heterogeneity at atomic resolution. Existing cryo-EM heterogeneity analysis methods either lack atomic details or tend to…

Biomolecules · Quantitative Biology 2025-10-21 Chengwei Zhang , Shimian Li , Yihao Niu , Zhen Zhu , Sihao Yuan , Sirui Liu , Yi Qin Gao

Particle picking is a crucial first step in the computational pipeline of single-particle cryo-electron microscopy (cryo-EM). Selecting particles from the micrographs is difficult especially for small particles with low contrast. As…

Computer Vision and Pattern Recognition · Computer Science 2018-08-06 Ayelet Heimowitz , Joakim Andén , Amit Singer

Cryo-electron microscopy is a state-of-the-art method for determining high-resolution three-dimensional models of molecules, from their two-dimensional projection images taken by an electron microscope. A crucial step in this method is to…

Image and Video Processing · Electrical Eng. & Systems 2022-12-16 Eitan Rosen , Yoel Shkolnisky

A common task in cryo-electron microscopy (cryo-EM) data processing is to compare three-dimensional density maps of macromolecules. In this paper, we propose an algorithm for aligning three-dimensional density maps that exploits common…

Image and Video Processing · Electrical Eng. & Systems 2023-02-27 Yael Harpaz , Yoel Shkolnisky

The cryo-electron microscope (cryo-EM) is increasingly popular these years. It helps to uncover the biological structures and functions of macromolecules. In this paper, we address image denoising problem in cryo-EM. Denoising the cryo-EM…

Computation · Statistics 2018-10-26 Yin Xian , Hanlin Gu , Wei Wang , Xuhui Huang , Yuan Yao , Yang Wang , Jian-Feng Cai

Recent breakthroughs in high-resolution imaging of biomolecules in solution with cryo-electron microscopy (cryo-EM) have unlocked new doors for the reconstruction of molecular volumes, thereby promising further advances in biology,…

Image and Video Processing · Electrical Eng. & Systems 2022-05-27 Claire Donnat , Axel Levy , Frederic Poitevin , Ellen Zhong , Nina Miolane

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

The process of particle picking, a crucial step in cryo-electron microscopy (cryo-EM) image analysis, often encounters challenges due to outliers, leading to inaccuracies in downstream processing. In response to this challenge, this…

Quantitative Methods · Quantitative Biology 2024-09-10 Lev Kapnulin , Ayelet Heimowitz , Nir Sharon

Cryo-electron tomography (cryo-ET) is an emerging technology for the 3D visualization of structural organizations and interactions of subcellular components at near-native state and sub-molecular resolution. Tomograms captured by cryo-ET…

Quantitative Methods · Quantitative Biology 2020-11-02 Xiangrui Zeng , Min Xu

Resolving the structural variability of proteins is often key to understanding the structure-function relationship of those macromolecular machines. Single particle analysis using Cryogenic electron microscopy (CryoEM), combined with…

Quantitative Methods · Quantitative Biology 2022-11-22 Muyuan Chen , Bogdan Toader , Roy Lederman

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

Cryo-electron microscopy (cryo-EM) has revolutionized structural biology by enabling near-atomic-level visualization of biomolecular assemblies. However, the exponential growth in cryo-EM data throughput and complexity, coupled with diverse…

Quantitative Methods · Quantitative Biology 2026-02-25 Weining Fu , Kai Shu , Kui Xu , Qiangfeng Cliff Zhang

Cellular Electron Cryotomography (CryoET) offers the ability to look inside cells and observe macromolecules frozen in action. A primary challenge for this technique is identifying and extracting the molecular components within the crowded…

Quantitative Methods · Quantitative Biology 2021-08-04 Muyuan Chen , Wei Dai , Ying Sun , Darius Jonasch , Cynthia Y He , Michael F. Schmid , Wah Chiu , Steven J Ludtke

The recent improvements in cryo-electron microscopy (cryo-EM) in the past few years are now allowing to observe molecular complexes at atomic resolution. As a consequence, numerous structures derived from cryo-EM are now available in the…

Biomolecules · Quantitative Biology 2020-05-04 Mikael Trellet , Gydo van Zundert , Alexandre M. J. J. Bonvin

In single-particle cryo-electron microscopy (cryo-EM), the efficient determination of orientation parameters for 2D projection images poses a significant challenge yet is crucial for reconstructing 3D structures. This task is complicated by…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Szu-Chi Chung

Although defocus can be used to generate partial phase contrast in transmission electron microscope images, cryo-electron microscopy (cryo-EM) can be further improved by the development of phase plates which increase contrast by applying a…

Quantitative Methods · Quantitative Biology 2024-03-14 Jeremy J. Axelrod , Jessie T. Zhang , Petar N. Petrov , Robert M. Glaeser , Holger Mueller
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