a class representing an axis field on the sphere by harmonic series
Since an axis has no sign, not the axis itself but the six independent entries of the symmetric matrix v*v' are expanded into spherical harmonics. Evaluation recovers the axis as its leading eigenvector.
Syntax
aF = S2AxisFieldHarmonic(sF)
aF = S2AxisFieldHarmonic(fun)Input
| sF | 6x1 S2FunHarmonic, the entries xx, xy, yy, xz, yz, zz |
| fun | S2AxisField or @function_handle to be approximated |
Output
| aF | S2AxisFieldHarmonic |
Options
| bandwidth | maximum harmonic degree |
Class Properties
| sF | the six components as S2FunHarmonic |
| bandwidth | maximum harmonic degree |
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/S2AxisFieldHarmonic.S2AxisFieldHarmonic.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.