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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 framework to jointly determine the deformation parameters and reconstruct the unknown volume in electron cryotomography (CryoET). CryoET aims to reconstruct three-dimensional biological samples from two-dimensional projections.…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Valentin Debarnot , Sidharth Gupta , Konik Kothari , Ivan Dokmanic

We introduce DiffFit, a differentiable algorithm for fitting protein atomistic structures into an experimental reconstructed Cryo-Electron Microscopy (cryo-EM) volume map. In structural biology, this process is necessary to…

Quantitative Methods · Quantitative Biology 2025-01-09 Deng Luo , Zainab Alsuwaykit , Dawar Khan , Ondřej Strnad , Tobias Isenberg , Ivan Viola

The dynamics of biomolecules are crucial for our understanding of their functioning in living systems. However, current 3D imaging techniques, such as cryogenic electron microscopy (cryo-EM), require freezing the sample, which limits the…

Quantitative Methods · Quantitative Biology 2023-08-24 Enze Ye , Yuhang Wang , Hong Zhang , Yiqin Gao , Huan Wang , He Sun

In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The problem of single particle reconstruction (SPR) from cryo-EM is to use the resulting set of noisy 2D…

Numerical Analysis · Mathematics 2014-09-16 Gene Katsevich , Alexander Katsevich , Amit Singer

Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for resolving the three-dimensional structures of macromolecules. A key challenge in cryo-EM is characterizing continuous heterogeneity, where molecules adopt a…

Machine Learning · Statistics 2026-02-20 Roey Yadgar , Roy R. Lederman , Yoel Shkolnisky

Knowledge of a protein's atomic conformational ensemble is critical to determining its function, yet state-of-the-art ensemble prediction models are limited by lack of high-quality conformational data from simulation or experiment. Recent…

Machine Learning · Computer Science 2026-05-12 Jay Shenoy , Miro Astore , Axel Levy , Frédéric Poitevin , Sonya M. Hanson , Gordon Wetzstein

Accurate pose estimation and shift correction are key challenges in cryo-EM due to the very low SNR, which directly impacts the fidelity of 3D reconstructions. We present an approach for pose estimation in cryo-EM that leverages…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Kaishva Chintan Shah , Virajith Boddapati , Karthik S. Gurumoorthy , Sandip Kaledhonkar , Ajit Rajwade

We introduce ICE-TIDE, a method for cryogenic electron tomography (cryo-ET) that simultaneously aligns observations and reconstructs a high-resolution volume. The alignment of tilt series in cryo-ET is a major problem limiting the…

Image and Video Processing · Electrical Eng. & Systems 2024-12-16 Valentin Debarnot , Vinith Kishore , Ricardo D. Righetto , Ivan Dokmanić

Comprehensive, synapse-resolution imaging of the brain will be crucial for understanding neuronal computations and function. In connectomics, this has been the sole purview of volume electron microscopy (EM), which entails an excruciatingly…

Image and Video Processing · Electrical Eng. & Systems 2023-03-03 Yicong Li , Yaron Meirovitch , Aaron T. Kuan , Jasper S. Phelps , Alexandra Pacureanu , Wei-Chung Allen Lee , Nir Shavit , Lu Mi

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

Cryo-electron tomography (cryo-ET) provides direct 3D visualization of macromolecules inside the cell, enabling analysis of their in situ morphology. This morphology can be regarded as an SE(3)-invariant, denoised volumetric representation…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Mostofa Rafid Uddin , Mahek Vora , Qifeng Wu , Muyuan Chen , Min Xu

A major challenge in single-particle cryo-electron microscopy (cryo-EM) is that the orientations adopted by the 3D particles prior to imaging are unknown; yet, this knowledge is essential for high-resolution reconstruction. We present a…

Machine Learning · Computer Science 2021-04-14 Jelena Banjac , Laurène Donati , Michaël Defferrard

There is a clear need for developments in characterisation techniques that provide detailed information about structure-function relationships in biology. Using electron microscopy to achieve high resolution while maintaining a broad field…

Quantitative Methods · Quantitative Biology 2023-09-12 Chen Huang , Judy S. Kim , Angus I. Kirkland

Transmission electron microscopy (TEM) is a potent technique for the determination of three-dimensional atomic scale structure of samples in structural biology and materials science. In structural biology, three-dimensional structures of…

The Cryo-EM 3D particle reconstruction is essential for identifying protein and uncover the biological mechanism of the macro-molecules. In this paper, we use Kam method for reconstruction. Kam method is \textit{ab-initio}, and it assumes…

Quantitative Methods · Quantitative Biology 2019-06-21 Yin Xian

The past decade's "cryoEM revolution" has produced exponential growth in high-resolution structural data through advances in cryogenic electron microscopy (cryoEM) and tomography (cryoET). Deep learning integration into structural…

Quantitative Methods · Quantitative Biology 2025-07-29 Brady K. Zhou , Jason J. Hu , Jane K. J. Lee , Z. Hong Zhou , Demetri Terzopoulos

Recording atomic-resolution transmission electron microscopy (TEM) images is becoming increasingly routine. A new bottleneck is then analyzing this information, which often involves time-consuming manual structural identification. We have…

Cryo-electron tomography (cryoET) is a crucial technique for unveiling the structure of protein complexes. Automatically analyzing tomograms captured by cryoET is an essential step toward understanding cellular structures. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Yusuke Uchida , Takaaki Fukui

Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for determining the three-dimensional structures of biological molecules at near-atomic resolution. However, reconstructing helical assemblies presents unique challenges…

Quantitative Methods · Quantitative Biology 2026-03-16 Guy Shapira , Yoel Shkolnisky