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One of the difficulties in 3D reconstruction of molecules from images in single particle Cryo-Electron Microscopy (Cryo-EM), in addition to high levels of noise and unknown image orientations, is heterogeneity in samples: in many cases, the…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Roy R. Lederman , Amit Singer

Real-space imaging of three-dimensional atomic structures is a critical yet challenging task in materials science. Although scanning transmission electron microscopy has achieved sub-angstrom lateral resolution through techniques like…

The simple entropic method to statistical reconstructing of heterogeneous three-dimensional media from a single two-dimensional image is briefly reported. We apply the entropic descriptor quantifying spatial inhomogeneity that depends on…

Statistical Mechanics · Physics 2015-11-18 D. Frączek , W. Olchawa , R. Piasecki , R. Wiśniowski

We present a direct method for limited angle tomographic reconstruction using convolutional networks. The key to our method is to first stretch every tilt view in the direction perpendicular to the tilt axis by the secant of the tilt angle.…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Kyle Luther , Sebastian Seung

The three-dimensional structure of proteins plays a crucial role in determining their function. Protein structure prediction methods, like AlphaFold, offer rapid access to a protein structure. However, large protein complexes cannot be…

Biomolecules · Quantitative Biology 2025-03-05 Gabriel Ducrocq , Lukas Grunewald , Sebastian Westenhoff , Fredrik Lindsten

We investigate the applicability of artificial neural networks (ANNs) in reconstructing a sample image of a sponge-like microstructure. We propose to reconstruct the image by predicting the phase of the current pixel based on its causal…

Materials Science · Physics 2021-10-20 Kryštof Latka , Martin Doškář , Jan Zeman

Limited-angle electron tomography aims to reconstruct 3D shapes from 2D projections of Transmission Electron Microscopy (TEM) within a restricted range and number of tilting angles, but it suffers from the missing-wedge problem that causes…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Zhantao Deng , Mériem Er-Rafik , Anna Sushko , Cécile Hébert , Pascal Fua

Accurate reconstruction of recoil-electron directions is critical for enhancing the point-spread function of electron-tracking Compton cameras (ETCCs) in gamma-ray imaging. Although full three-dimensional (3D) readout systems achieve…

Instrumentation and Detectors · Physics 2026-04-22 Tomonori Ikeda , Tatsuya Sawano , Naomi Tsuji , Yoshitaka Mizumura

Cellular Electron Cryo-Tomography (CECT) is a powerful 3D imaging tool for studying the native structure and organization of macromolecules inside single cells. For systematic recognition and recovery of macromolecular structures captured…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Chang Liu , Xiangrui Zeng , Kaiwen Wang , Qiang Guo , 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

X-ray single particle imaging involves the measurement of a large number of noisy diffraction patterns of isolated objects in random orientations. The missing information about these patterns is then computationally recovered in order to…

Image and Video Processing · Electrical Eng. & Systems 2020-05-25 Kartik Ayyer

Speden is a computer program that reconstructs the electron density of single particles from their x-ray diffraction patterns, using a single-particle adaptation of the Holographic Method in crystallography. (Szoke, A., Szoke, H., and…

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

Photoemission orbital tomography provides direct access from laboratory measurements to the real-space molecular orbitals of well-ordered organic semiconductor layers. Specifically, the application of phase retrieval algorithms to…

Materials Science · Physics 2024-04-29 Thi Lan Dinh , G. S. Matthijs Jansen , D. Russell Luke , Wiebke Bennecke , Stefan Mathias

The development of X-ray Free Electron Lasers (XFELs) has opened numerous opportunities to probe atomic structure and ultrafast dynamics of various materials. Single Particle Imaging (SPI) with XFELs enables the investigation of biological…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Zhantao Chen , Cong Wang , Mingye Gao , Chun Hong Yoon , Jana B. Thayer , Joshua J. Turner

A method of modelling the three-dimensional microstructure of random isotropic two-phase materials is proposed. The information required to implement the technique can be obtained from two-dimensional images of the microstructure. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts

Atomic-resolution scanning transmission electron microscopy (STEM) characterization requires precise tilting of the specimen to high symmetric zone axis, which is usually processed in reciprocal space by following the diffraction patterns.…

Materials Science · Physics 2024-06-04 Jiake Wei , Zhangze Xu , Wenjie Shen , Bin Feng , Ryo Ishikawa , Naoya Shibata , Yuichi Ikuhara , Xuedong Bai

While multislice electron ptychography can provide thermal-vibration limited resolution and 3D information, it relies on the proper selection of many intertwined experimental and computational parameters. Here, we outline a theoretical…

Materials Science · Physics 2023-11-28 Colin Gilgenbach , Xi Chen , James M. LeBeau

Particle picking is currently a critical step in the cryo-EM single particle reconstruction pipeline. Despite extensive work on this problem, for many data sets it is still challenging, especially for low SNR micrographs. We present the KLT…

Data Analysis, Statistics and Probability · Physics 2019-12-16 Amitay Eldar , Boris Landa , Yoel Shkolnisky

Single-pixel imaging, originally developed in light optics, facilitates fast three-dimensional sample reconstruction, as well as probing with light wavelengths undetectable by conventional multi-pixel detectors. However, the spatial…

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