Rodrigues空间上的有限单元极形反演

Textures and Microstructures Pub Date : 1900-01-01 DOI:10.1080/073033002100000182

N. Barton, D. Boyce, P. Dawson

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引用次数: 35

摘要

利用罗德里格斯空间上的有限元，提出了极点图形的形成和反演方法。该方法利用了Rodrigues空间的特性，特别是极点图形投影路径对应的测地线是直线的事实。在Rodrigues空间中，离散和连续极形数据都可以被反转以获得方向分布函数(odf)，我们包括了这两种类型数据的示例应用。

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Pole Figure Inversion Using Finite Elements Over Rodrigues Space

Using finite elements over Rodrigues space, methods are developed for the formation and inversion of pole figures. The methods take advantage of the properties of Rodrigues space, particularly the fact that geodesics corresponding to pole figure projection paths are straight lines. Both discrete and continuous pole figure data may be inverted to obtain orientation distribution functions (ODFs) in Rodrigues space, and we include sample applications for both types of data.

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Textures and Microstructures

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