title: Spherical EBSD.
abstract: Spheres, or more usually spherical surfaces, are important in electron backscatter diffraction. Both electron backscatter patterns (EBSPs) and pole figure texture data are more accurately represented on the spherical surface, S(2); and unit quaternions, which are the optimal method for orientation calculations, exist on the surface of the hypersphere, S(3). This paper is split into two distinct parts. The first shows a little of the history of the EBSP technique, including the use of spheres to assemble a spherical Kikuchi map (SKM) and as calibration artefacts. The second part relates new developments in the analysis of EBSPs on the surface of a sphere, a new spherical Hough transform and ideas for fully automatic, ab initio analysis of unknown phases using collections of EBSPs assembled as spherical Kikuchi maps.
authors.affiliation: Aunt Daisy Scientific Ltd., Durlow, Dixton Road, Monmouth, Gwent NP25 3PP, United Kingdom. AustinPDay@gmail.com
authors.forename: A P
authors.initials: AP
authors.lastname: Day
mesh_terms: D055598:Chemical Phenomena; D002621:Chemistry; D003460:Crystallization; D003461:Crystallography / Q000379:methods; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008855:Microscopy, Electron, Scanning / Q000295:instrumentation / Q000379:methods; D013499:Surface Properties