A one-dimensional Radon transform on SO(3) and its application to texture goniometry

被引：10
|
作者：
Bernstein, S
Schaeben, H
机构：
[1] Bauhaus Univ Weimar, Fac Media, D-99423 Weimar, Germany
[2] Freiberg Univ Min & Technol, Geosci Math & Informat Grp, D-09596 Freiberg, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2005年 / 28卷 / 11期
关键词：
spherical Radon transform; Radon transform on the group SO(3); ODF-to-PDF; inversion; texture goniometry;
D O I：
10.1002/mma.612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a one-dimensional Radon transform on the group SO(3), which is motivated by texture goniometry. In particular, we will derive several inversion formulae and compare them with the inversion of the one-dimensional spherical Radon transform on S-3 for even functions. Copyright (C) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码：1269 / 1289
页数：21
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