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A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based,…

医学物理 · 物理学 2022-12-07 Timur E. Gureyev , Hamish G. Brown , Harry M. Quiney , Leslie J. Allen

Time-resolved X-ray scattering patterns from photoexcited molecules in solution are in many cases anisotropic at the ultrafast time scales accessible at X-ray Free Electron Lasers (XFELs). This anisotropy arises from the interaction of a…

A new method for solving systems of linear algebraic equations of a special type arising in solving problems of image reconstruction has been proposed. This method, due to a certain symmetry of the matrix and the choice of the voxel…

数值分析 · 数学 2019-08-30 A. A. Alikhanov , A. M. Apekov , Z. A. Kokov , A. O. Belyaev , L. A. Khamukova

Three-dimensional phase contrast imaging of multiply-scattering samples in X-ray and electron microscopy is extremely challenging, due to small numerical apertures, the unavailability of wavefront shaping optics, and the highly nonlinear…

Mapping conformational heterogeneity of macromolecules presents a formidable challenge to X-ray crystallography and cryo-electron microscopy, which often presume its absence. This has severely limited our knowledge of the conformations…

生物物理 · 物理学 2015-05-14 P. Schwander , R. Fung , G. N. Phillips , A. Ourmazd

Cryogenic electron microscopy (cryo-EM) provides images from different copies of the same biomolecule in arbitrary orientations. Here, we present an end-to-end unsupervised approach that learns individual particle orientations from cryo-EM…

图像与视频处理 · 电气工程与系统科学 2021-07-08 Youssef S. G. Nashed , Frederic Poitevin , Harshit Gupta , Geoffrey Woollard , Michael Kagan , Chuck Yoon , Daniel Ratner

Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution of biomolecules by reconstructing 2D micrographs. However, the resolution and accuracy of the reconstructed particles are significantly reduced due to the…

计算机视觉与模式识别 · 计算机科学 2024-01-03 Jing Zhang , Tengfei Zhao , ShiYu Hu , Xin Zhao

We develop an enclosure-type reconstruction scheme to identify penetrable and impenetrable obstacles in electromagnetic field with anisotropic medium in \mathbb{R}^{3}. The main difficulty in treating this problem lies in the fact that…

偏微分方程分析 · 数学 2015-01-20 Rulin Kuan , Yi-Hsuan Lin , Mourad Sini

Cryo-electron microscopy (EM) single particle reconstruction is an entirely general technique for 3D structure determination of macromolecular complexes. However, because the images are taken at low electron dose, it is extremely hard to…

计算机视觉与模式识别 · 计算机科学 2019-04-17 Yifeng Fan , Zhizhen Zhao

This study presents a comprehensive workflow for investigating particulate materials through combined 360{\deg} electron tomography (ET), nano-computed X-ray tomography (nanoCT), and micro-computed X-ray tomography (microCT), alongside a…

Over the last two decades, scanning tunnelling microscopy (STM) has become one of the most important ways to investigate the structure of crystal surfaces. STM has helped achieve remarkable successes in surface science such as finding the…

材料科学 · 物理学 2009-11-10 Cristian V. Ciobanu , Cristian Predescu

Inverse scattering problems without the phase information arise in imaging of nanostructures whose sizes are hundreds of nanometers as well as in imaging of biological cells. The governing equation is the 3-d generalized Helmholtz equation…

偏微分方程分析 · 数学 2015-10-05 Michael V. Klibanov , Loc H. Nguyen , Kejia Pan

Classically, anisotropic surface wave tomography is treated as an optimisation problem where it proceeds through a linearised two-step approach. It involves the construction of 2D group or phase velocity maps for each considered period,…

地球物理 · 物理学 2020-12-08 John Keith Magali

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…

定量方法 · 定量生物学 2025-01-09 Deng Luo , Zainab Alsuwaykit , Dawar Khan , Ondřej Strnad , Tobias Isenberg , Ivan Viola

This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell's equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic…

数值分析 · 数学 2020-08-25 Dinh-Liem Nguyen , Trung Truong

Conventional X-ray methods use incoming plane waves and result in discrete diffraction patterns when scattered at crystals. Here we find, by a systematic method, incoming waveforms which exhibit discrete diffraction patterns when scattered…

光学 · 物理学 2015-06-16 Gero Friesecke , Richard D. James , Dominik Jüstel

For the study of complex synthetic and biological molecular systems by computer simulations one is still restricted to simple model systems or to by far too small time scales. To overcome this problem multiscale techniques are being…

统计力学 · 物理学 2007-05-23 Matej Praprotnik , Kurt Kremer , Luigi Delle Site

Fluorescence microscopy images usually show severe anisotropy in axial versus lateral resolution. This hampers downstream processing, i.e. the automatic extraction of quantitative biological data. While deconvolution methods and other…

计算机视觉与模式识别 · 计算机科学 2017-04-06 Martin Weigert , Loic Royer , Florian Jug , Gene Myers

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…

原子与分子团簇 · 物理学 2015-12-15 Tatiana Latychevskaia , Jean-Nicolas Longchamp , Conrad Escher , Hans-Werner Fink

Matrix inversion problems are often encountered in experimental physics, and in particular in high-energy particle physics, under the name of unfolding. The true spectrum of a physical quantity is deformed by the presence of a detector,…

机器学习 · 统计学 2020-09-08 Pietro Vischia