axis distribution function
Description
By default the rotation angle is integrated over the full range the fundamental region allows for the axis in question. minAngle and maxAngle restrict that range, which is what the axis angle sections show: the distribution of the axes of those rotations whose angle falls into a given window. An axis for which the window lies entirely outside the fundamental region contributes zero.
The quadrature keeps its step, not its number of points, so a narrow window is integrated with correspondingly few of them - lower resolution if the values it returns matter to better than a percent.
Syntax
value = calcAxisDistribution(odf, a)
adf = calcAxisDistribution(odf)% only rotations by 20 to 40 degree
adf = calcAxisDistribution(odf,'minAngle',20*degree,'maxAngle',40*degree)Input
| S3F | orientation or misorientation distribution function, SO3Fun |
| a | rotational axis, vector3d |
Output
| afd | axis distribution function, S2Fun |
| value | value of axis distribution function for rotational axis a |
Options
| minAngle | ignore rotations by less than this angle |
| maxAngle | ignore rotations by more than this angle |
| resolution | step of the angle quadrature, 2.5 degree by default |
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/SO3Fun.calcAxisDistribution.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.