an abstract class representing vector fields on the rotation group
A vector field on SO(3) assigns a tangent vector to every orientation, e.g. the gradient of an ODF. Tangent vectors live in either the left or the right tangent space, see SO3TangentSpace; the property tangentSpace says which representation evaluations are returned in.
Deriving classes only have to implement the method eval.
Class Properties
| SRight, CS | symmetry acting from the right, the crystal side |
| SLeft, SS | symmetry acting from the left, the specimen side |
| tangentSpace | SO3TangentSpace of the evaluations |
| frameLeft | referenceFrame of SLeft, read only |
| frameRight | referenceFrame of SRight, read only |
Derived Classes
| SO3VectorFieldHarmonic | harmonic series of the components |
| SO3VectorFieldRBF | radial basis function series |
| SO3VectorFieldHandle | field given by a function handle |
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/SO3VectorField.SO3VectorField.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.