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Accurately determining the crystallographic structure of a material, organic or inorganic, is a critical primary step in material development and analysis. The most common practices involve analysis of diffraction patterns produced in…

We present a novel method for Ankylography: three-dimensional structure reconstruction from a single shot diffraction intensity pattern. Our approach allows reconstruction of objects containing many more details than was ever demonstrated,…

Optics · Physics 2012-03-22 Eliyahu Osherovich , Oren Cohen , Yonina C. Eldar , Mordechai Segev

It has been argued that in atomic-resolution transmission electron microscopy (TEM) of sparse weakly scattering structures, such as small biological molecules, multiple electron scattering usually has only a small effect, while the…

Optics · Physics 2021-11-16 T. E. Gureyev , H. M. Quiney , A. Kozlov , D. M. Paganin , G. Schmalz , L. J. Allen

Precession Electron Diffraction (PED) offers a number of advantages for crystal structure analysis and solving unknown structures using electron diffraction. The current article uses many-beam simulations of PED intensities, in combination…

Materials Science · Physics 2025-09-22 W. Sinkler , L. D. Marks

Convergent beam electron diffraction (CBED) performed on two-dimensional (2D) materials recently emerged as a powerful tool to study structural and stacking defects, adsorbates, atomic 3D displacements in the layers, and the interlayer…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Tatiana Latychevskaia , Sarah Haigh , Kostya Novoselov

X-ray crystallography (XC) is an experimental technique used to determine three-dimensional crystalline structures. The acquired data in XC, called diffraction patterns, is the Fourier magnitudes of the unknown crystalline structure. To…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Samuel Pinilla , Jorge Bacca , Cesar Vargas , Juan Carlos Poveda-Jaramillo , Henry Arguello

The task of reconstructing particles from low-level detector response data to predict the set of final state particles in collision events represents a set-to-set prediction task requiring the use of multiple features and their correlations…

Single particle diffraction imaging experiments at free-electron lasers (FEL) have a great potential for structure determination of reproducible biological specimens that can not be crystallized. One of the challenges in processing the data…

Biological Physics · Physics 2013-10-16 O. M. Yefanov , I. A. Vartanyants

X-ray single particle imaging (SPI) has offered the potential to visualize structures of biomolecules at near-atomic resolution. However, state-of-the-art structures at X-ray free electron lasers (XFELs) are limited to moderate resolution,…

Optics · Physics 2025-08-12 Abhishek Mall , Zhou Shen , Kartik Ayyer

A sparsity-exploiting algorithm intended for few-view Single Photon Emission Computed Tomography (SPECT) reconstruction is proposed and characterized. The algorithm models the object as piecewise constant subject to a blurring operation. To…

Medical Physics · Physics 2012-12-05 Paul A Wolf , Jakob H Jørgensen , Taly G Schmidt , Emil Y Sidky

Schemes for X-ray imaging single protein molecules using new x-ray sources, like x-ray free electron lasers (XFELs), require processing many frames of data that are obtained by taking temporally short snapshots of identical molecules, each…

Data Analysis, Statistics and Probability · Physics 2015-06-17 Kartik Ayyer , Hugh T. Philipp , Mark W. Tate , Veit Elser , Sol M. Gruner

Spectroscopy requires high-precision wavelength discrimination but typically requires bulky, alignment-sensitive instrumentation. To address this, we present a compact computational spectrometer built from a single germanium PN photodiode.…

Single particle reconstruction has recently emerged in 3D fluorescence microscopy as a powerful technique to improve the axial resolution and the degree of fluorescent labeling. It is based on the reconstruction of an average volume of a…

Image and Video Processing · Electrical Eng. & Systems 2023-01-24 Thibaut Eloy , Etienne Baudrier , Marine Laporte , Virginie Hamel , Paul Guichard , Denis Fortun

Electron backscatter diffraction (EBSD) is a well-established method of characterisation for crystalline materials. This technique can rapidly acquire and index diffraction patterns to provide phase and orientation information about the…

Materials Science · Physics 2019-09-04 Alexander Foden , David Collins , Angus Wilkinson , Thomas Benjamin Britton

Refraction is a common physical phenomenon and has long been researched in computer vision. Objects imaged through a refractive object appear distorted in the image as a function of the shape of the interface between the media. This hinders…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Antonin Sulc , Imari Sato , Bastian Goldluecke , Tali Treibitz

There is a growing interest in reconstructing the density matrix of photoelectron wavepackets, in particular in complex systems where decoherence can be introduced either by a partial measurement of the system or through coupling with a…

Electron backscatter diffraction (EBSD) is a technique used to measure crystallographic features in the scanning electron microscope. The technique is highly automated and readily accessible in many laboratories. EBSD pattern indexing is…

Computational Physics · Physics 2018-07-18 Thomas Benjamin Britton , Vivian Tong , Jim Hickey , Alex Foden , Angus Wilkinson

Three-dimensional electron diffraction (3DED) is a powerful technique providing for crystal structure solutions of sub-micron sized crystals too small for structure determination via X-ray techniques. The entry requirement, however, of a…

A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed for stochastic optimization method. The first of them…

Statistical Mechanics · Physics 2011-02-16 R. Piasecki

In a recent publication [D. P. Varn, G. S. Canright, and J. P. Crutchfield, Phys. Rev. B {\bf 66}:17, 156 (2002)] we introduced a new technique for discovering and describing planar disorder in close-packed structures (CPSs) directly from…

Materials Science · Physics 2007-05-23 D. P. Varn , G. S. Canright , J. P. Crutchfield