Day A P
Aunt Daisy Scientific Ltd., Durlow, Dixton Road, Monmouth, Gwent NP25 3PP, United Kingdom.
J Microsc. 2008 Jun;230(Pt 3):472-86. doi: 10.1111/j.1365-2818.2008.02011.x.
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.
球体，或者更常见的是球面，在电子背散射衍射中很重要。电子背散射图案（EBSP）和极图织构数据在球面S(2)上能得到更精确的表示；而单位四元数是取向计算的最优方法，它存在于超球面S(3)的表面上。本文分为两个不同的部分。第一部分展示了EBSP技术的一些历史，包括使用球体来组装球面菊池图（SKM）以及作为校准工件。第二部分讲述了在球面上分析EBSP的新进展、一种新的球面霍夫变换以及使用组装成球面菊池图的EBSP集合对未知相进行全自动、从头开始分析的思路。
