Gazing at crystal balls: Electron backscatter diffraction pattern analysis and cross correlation on the sphere
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Updated: Jan 19, 2026

Analysis of SEC-SAXS data via EFA deconvolution and Scatter
Published on: January 28, 2021
Ralf Hielscher1, Felix Bartel1, Thomas Benjamin Britton2
1Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, 09107, Germany.
Abstract:
We present spherical analysis of electron backscatter diffraction (EBSD) patterns with two new algorithms: (1) band localisation and band profile analysis using the spherical Radon transform; (2) orientation determination using spherical cross correlation. These new approaches are formally introduced and their accuracies are determined using dynamically simulated patterns. We demonstrate their utility with an experimental dataset obtained from ferritic iron. Our results indicate that the analysis of EBSD patterns on the sphere provides an elegant method of revealing information from these rich sources of crystallographic data.
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