a class representing a vector field on SO(3) by a harmonic series
The three components of the tangent vector are stored as a 3x1 array of SO3FunHarmonic. Since one of the two symmetries is consumed by the tangent space, the inner SO3FunHarmonic carries only the other one.
Syntax
SO3VF = SO3VectorFieldHarmonic(SO3F)
SO3VF = SO3VectorFieldHarmonic(fun)
SO3VF = SO3VectorFieldHarmonic(fun,'bandwidth',N)Input
| SO3F | 3x1 SO3FunHarmonic, the x, y and z component |
| fun | SO3VectorField or @function_handle to be approximated |
Output
| SO3VF | SO3VectorFieldHarmonic |
Options
| bandwidth | maximum harmonic degree |
| SO3TangentSpace | the tangent space the values refer to |
Class Properties
| SO3F | the three components as SO3FunHarmonic |
| x, y, z | the individual components |
| bandwidth | maximum harmonic degree |
| tangentSpace | SO3TangentSpace of the evaluations |
| SRight, CS | symmetry acting from the right |
| SLeft, SS | symmetry acting from the left |
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/SO3VectorFieldHarmonic.SO3VectorFieldHarmonic.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.