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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

Cryo-electron microscopy (cryo-EM) is an indispensable technique for determining the 3D structures of dynamic biomolecular complexes. While typically applied to image a single molecular species, cryo-EM has the potential for structure…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Jeffrey Gu , Minkyu Jeon , Ambri Ma , Serena Yeung-Levy , Ellen D. Zhong

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

We develop an algorithm capable of imaging a three-dimensional object given a collection of two-dimensional images of that object that are significantly influenced by the curvature of the Ewald sphere. These two-dimensional images cannot be…

Instrumentation and Detectors · Physics 2021-03-02 J. P. J. Chen , K. E. Schmidt , J. C. H. Spence , R. A. Kirian

We consider the two-dimensional multi-target detection problem of recovering a target image from a noisy measurement that contains multiple copies of the image, each randomly rotated and translated. Motivated by the structure reconstruction…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Shay Kreymer , Tamir Bendory

There exist two groups of electron microscopy methods that are capable of providing three-dimensional (3D) structural information of an object, i.e., electron tomography and depth sectioning. Electron tomography is capable of resolving…

Materials Science · Physics 2024-05-28 Liangze Mao , Jizhe Cui , Rong Yu

Cryo-electron microscopy is a technique in structural biology for discovering/determining the 3D structure of small molecules. A key step in this process is detecting common lines of intersection between unknown embedded image planes. We…

Algebraic Geometry · Mathematics 2014-02-25 David Dynerman

Single particle imaging (SPI) at X-ray free electron lasers (XFELs) is particularly well suited to determine the 3D structure of particles in their native environment. For a successful reconstruction, diffraction patterns originating from a…

Data Analysis, Statistics and Probability · Physics 2021-12-17 Dameli Assalauova , Alexandr Ignatenko , Fabian Isensee , Sergey Bobkov , Darya Trofimova , Ivan A. Vartanyants

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

Constructing of molecular structural models from Cryo-Electron Microscopy (Cryo-EM) density volumes is the critical last step of structure determination by Cryo-EM technologies. Methods have evolved from manual construction by structural…

Machine Learning · Computer Science 2019-02-13 Kui Xu , Zhe Wang , Jiangping Shi , Hongsheng Li , Qiangfeng Cliff Zhang

Ultrafast diffraction imaging is a powerful tool to retrieve the geometric structure of gas-phase molecules with combined picometre spatial and attosecond temporal resolution. However, structural retrieval becomes progressively difficult…

Chemical Physics · Physics 2021-10-13 Xinyao Liu , Kasra Amini , Aurelien Sanchez , Blanca Belsa , Tobias Steinle , Jens Biegert

The structure and dynamics of isolated nanosamples in free flight can be directly visualized via single-shot coherent diffractive imaging using the intense and short pulses of X-ray free-electron lasers. Wide-angle scattering images even…

Direct observation of nanoscale transformations in three dimensions (3D) is essential for understanding materials evolution under operating conditions, yet dynamic electron tomography remains limited by slow tilt series acquisition and by…

Proteins typically undergo conformational dynamics on the microsecond to millisecond timescale as they perform their function, which is much faster than the time-resolution of cryo-electron microscopy and has thus prevented real-time…

Biological Physics · Physics 2021-07-07 Jonathan M. Voss , Oliver F. Harder , Pavel K. Olshin , Marcel Drabbels , Ulrich J. Lorenz

Cellular Electron CryoTomography (CECT) is a 3D imaging technique that captures information about the structure and spatial organization of macromolecular complexes within single cells, in near-native state and at sub-molecular resolution.…

Quantitative Methods · Quantitative Biology 2018-07-04 Kai Wen Wang , Xiangrui Zeng , Xiaodan Liang , Zhiguang Huo , Eric P. Xing , Min Xu

The current state of the art in structural biology is led by NMR, X-ray crystallography and TEM investigations. These powerful tools however all rely on averaging over a large ensemble of molecules. Here, we present an alternative concept…

Atomic and Molecular Clusters · Physics 2015-12-15 Tatiana Latychevskaia , Jean-Nicolas Longchamp , Conrad Escher , Hans-Werner Fink

Geometric reconstruction and SLAM with endoscopic images have advanced significantly in recent years. In most medical fields, monocular endoscopes are employed, and the algorithms used are typically adaptations of those designed for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Raúl Iranzo , Víctor M. Batlle , Juan D. Tardós , José M. M. Montiel

Tilt-series alignment is crucial to obtaining high-resolution reconstructions in cryo-electron tomography. Beam-induced local deformation of the sample is hard to estimate from the low-contrast sample alone, and often requires fiducial gold…

Image and Video Processing · Electrical Eng. & Systems 2022-01-24 Poulami Somanya Ganguly , Felix Lucka , Holger Kohr , Erik Franken , Hermen Jan Hupkes , K Joost Batenburg

We consider the multi-target detection problem of recovering a set of signals that appear multiple times at unknown locations in a noisy measurement. In the low noise regime, one can estimate the signals by first detecting occurrences, then…

Information Theory · Computer Science 2020-01-08 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

We report on the development of Electron Holographic Tomography towards a versatile potential measurement technique, overcoming several limitations, such as a limited tilt range, previously hampering a reproducible and accurate…

Materials Science · Physics 2015-06-22 A. Lubk , D. Wolf , P. Prete , N. Lovergine , T. Niermann , S. Sturm , H. Lichte