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 surface of the sphere provides an elegant method of revealing information from these rich sources of crystallographic data. Highlights 1. We present a method to approximate Kikuchi patterns by spherical functions.2. We utilize the spherical Radon transformation to localise Kikuchi bands and to analyse their profile.3. We develop a spherical cross correlation method for orientation determination from Kikuchi patterns. 4. All methods are speed optimised using fast Fourier algorithms on the sphere and the orientation space.
Electron backscatter diffraction (EBSD) is a common nano-to micro-scale electron microscopy based analysis technique. Rich crystallographic data can be obtained from Kikuchi diffraction based patterns within the scanning electron microscope. The EBSD pattern is normally captured on a 2D detector inserted within the vacuum chamber and this results in a gnomonic projection of the diffraction pattern. As the EBSD pattern originates from a point source, it can be more interrogated using a spherical frame of reference [1] where the band centers for each diffracting plane form great circles on the sphere.
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