return the index of the nearest node of a Clenshaw Curtis quadrature grid for each input rotation
Since the grid is a regular tensor grid in the Euler angles the lookup is plain (vectorized) index arithmetic - no search is involved.
The first and third Euler angle are folded into the grid section by their periodicity. For grids with cyclic symmetries this amounts to identifying symmetrically equivalent rotations, i.e. it is only meaningful when the data to be accumulated on the grid is (to be) symmetrised anyway.
Syntax
id = find(SO3G,ori)Input
| SO3G | quadratureSO3Grid |
| ori | rotation, orientation |
Output
| id | index of the nearest node into the (unique) grid, size(ori) |
See also
Citing this page.
This page is part of the documentation of
MTEX, a free and open
source MATLAB toolbox for analyzing and modeling crystallographic textures.
It was written by The MTEX Developers and is published at
https://mtex-toolbox.github.io/quadratureSO3Grid.find.html.
If you use MTEX, or reuse text or figures from this page, in your research,
please cite
F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63
BibTeX
@article{bachmann2010mtex,
author = {F. Bachmann and R. Hielscher and H. Schaeben},
title = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
journal = {Solid State Phenomena},
volume = {160},
pages = {63-68},
year = {2010},
doi = {10.4028/www.scientific.net/SSP.160.63},
url = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.