An iterative reconstruction algorithm for pole figure inversion using total variation regularization

被引:0
作者
Singh, Saransh [1 ]
Kc, Prabhat [2 ]
Sridhar, Shivram Kashyap [3 ]
De Graef, Marc [3 ]
机构
[1] Lawrence Livermore Natl Lab, Computat Engn Div, Livermore, CA 94550 USA
[2] Argonne Natl Lab, Lemont, IL 60439 USA
[3] Carnegie Mellon Univ, Pittsburgh, PA 15213 USA
基金
美国国家科学基金会; 美国安德鲁·梅隆基金会;
关键词
pole figure inversion; orientation distribution function; total variation regularization; texture;
D O I
10.1107/S1600576719013529
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
This paper describes a new discrete method for inverting X-ray pole figures to estimate the orientation distribution function (ODF). The method employs the equal-volume `cubochoric' representation for uniform discretization of orientation space, SO(3). The forward-projection model is combined with an anisotropic total variation term to iteratively determine the ODF. The efficacy of the new method is evaluated with both model and experimental data and compared with existing discrete and series expansion methods.
引用
收藏
页码:1329 / 1341
页数:13
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