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.

中文翻译：

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凝视水晶球：球体上的电子背散射衍射图案分析和互相关

我们使用两种新算法对电子背散射衍射 (EBSD) 模式进行球面分析：(1) 使用球面氡变换的带定位和带轮廓分析；(2)使用球面互相关确定方向。这些新方法被正式引入，它们的准确性是使用动态模拟模式确定的。我们使用从铁素体铁获得的实验数据集证明了它们的实用性。我们的结果表明，球体上 EBSD 模式的分析提供了一种从这些丰富的晶体学数据源中揭示信息的优雅方法。