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Precise knowledge of X-ray diffraction profile shape is crucial in the investigation of the properties of matter in crystals powder. Line-broadening analysis is a pre-processing step in most of the full powder pattern fitting softwares.…

Spectral Theory · Mathematics 2007-05-23 M. Ladisa , A. Lamura , T. Laudadio , G. Nico

We present a procedure for fitting an ellipse to powder diffraction patterns recorded on a planar 2D detector, which uses the peak intensities as weights. This procedure works for complete and spotty diffraction rings. We outline all the…

Materials Science · Physics 2013-11-22 Michael L. Hart , Michael Drakopoulos

This paper explores optimal methods for obtaining one-dimensional (1D) powder pattern intensities from two-dimensional (2D) planar detectors with good estimates of their standard deviations. We describe methods to estimate uncertainties…

Materials Science · Physics 2014-09-12 Xiaohao Yang , Pavol Juhas , Simon J. L. Billinge

X-ray diffractometers primarily designed for surface x-ray diffraction are often used to measure the diffraction from powders, textured materials, and fiber-texture samples in so-called $2\theta$ scans. Unlike high-energy powder diffraction…

Applied Physics · Physics 2022-01-27 Giuseppe Abbondanza , Alfred Larsson , Francesco Carlá , Edvin Lundgren , Gary S. Harlow

A filter based on the Hankel Lanczos Singular Value Decomposition (HLSVD) technique is presented and applied for the first time to X-ray diffraction (XRD) data. Synthetic and real powder XRD intensity profiles of nanocrystals are used to…

Spectral Theory · Mathematics 2007-05-23 M. Ladisa , A. Lamura , T. Laudadio , G. Nico

We applied the analysis of x-ray intensity angular correlation function to dilute ensembles of identical spinel crystals. Firstly, we show that the angular correlation from measured diffraction patterns with many crystals per shot converges…

Materials Science · Physics 2017-01-27 Yun Zhao

A new technical method is developed for soft x-ray spectroscopy of near-edge x-ray absorption fine structure (NEXAFS). The measurement is performed with continuously rotating linearly polarized light over 2$\pi$, generated by a segmented…

Instrumentation and Detectors · Physics 2021-11-10 Yoshiki Kudo , Yasuyuki Hirata , Masafumi Horio , Masahito Niibe , Iwao Matsuda

A new procedure aiming at disentangling the instrumental profile broadening and the relevant X-ray powder diffraction (XRPD) profile shape is presented. The technique consists of three steps: denoising by means of wavelet transforms,…

Materials Science · Physics 2008-12-02 A. Cervellino , C. Giannini , A. Guagliardi , M. Ladisa

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Modern Flash X-ray diffraction Imaging (FXI) acquires diffraction signals from single biomolecules at a high repetition rate from X-ray Free Electron Lasers (XFELs), easily obtaining millions of 2D diffraction patterns from a single…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Jing Liu , Stefan Engblom , Carl Nettelblad

In this thesis we investigate high throughput computational methods for processing large quantities of data collected from synchrotrons and their application to spectral analysis of powder diffraction data. We also present the main product…

Data Analysis, Statistics and Probability · Physics 2013-01-22 Taha Sochi

We demonstrate a motion-free intensity diffraction tomography technique that enables direct inversion of 3D phase and absorption from intensity-only measurements for weakly scattering samples. We derive a novel linear forward model,…

Image and Video Processing · Electrical Eng. & Systems 2018-06-26 Ruilong Ling , Waleed Tahir , Hsing-Ying Lin , Hakho Lee , Lei Tian

The in situ synchrotron high-energy X-ray powder diffraction (XRD) technique is highly utilized by researchers to analyze the crystallographic structures of materials in functional devices (e.g., battery materials) or in complex sample…

Image and Video Processing · Electrical Eng. & Systems 2022-12-16 Howard Yanxon , James Weng , Hannah Parraga , Wenqian Xu , Uta Ruett , Nicholas Schwarz

Scanning X-ray nanodiffraction microscopy is a powerful technique for spatially resolving nanoscale structural morphologies by diffraction contrast. One of the critical challenges in experimental nanodiffraction data analysis is posed by…

Applied Physics · Physics 2024-06-26 Aileen Luo , Tao Zhou , Martin V. Holt , Andrej Singer , Mathew J. Cherukara

X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of…

Three-dimensional particle tracking is an essential tool in studying dynamics under the microscope, namely, fluid dynamics in microfluidic devices, bacteria taxis, cellular trafficking. The 3d position can be determined using 2d imaging…

Computer Vision and Pattern Recognition · Computer Science 2015-09-08 Eldad Afik

We present a compact, diffuser-assisted, single-pixel computational camera. A rotating ground glass diffuser is adopted, in preference to a commonly used digital micro-mirror device (DMD), to encode a two-dimensional (2D) image into…

Optics · Physics 2021-11-04 Baolei Liu , Fan Wang , Chaohao Chen , David McGloin

This paper presents a novel 3D object detection framework that processes LiDAR data directly on its native representation: range images. Benefiting from the compactness of range images, 2D convolutions can efficiently process dense LiDAR…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Alex Bewley , Pei Sun , Thomas Mensink , Dragomir Anguelov , Cristian Sminchisescu

The equations for calculating diffraction profiles for bent crystals are revisited for both meridional and sagittal bending. Two approximated methods for computing diffraction profiles are treated: multilamellar and Penning-Polder. A common…

Materials Science · Physics 2015-03-13 Manuel Sanchez del Rio , Nicolas Perez-Bocanegra , Xianbo Shi , Veijo Honkimaki , Lin Zhang

Active 3D imaging systems have broad applications across disciplines, including biological imaging, remote sensing and robotics. Applications in these domains require fast acquisition times, high timing resolution, and high detection…

Applied Physics · Physics 2018-06-12 Felix Heide , Steven Diamond , David B. Lindell , Gordon Wetzstein
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