a class representing a function on SO(3) by values on a homochoric grid
The function is given by one coefficient per cell of a homochoric grid and is piecewise constant on those cells. Since the grid allows to look up the cell of an orientation directly, evaluation is O(1) - which is what makes this representation useful for kernel density estimation from many individual orientations.
Syntax
SO3F = SO3FunHomochoric(S3G,c)Input
| S3G | homochoricSO3Grid |
| c | coefficient for each grid cell |
Output
| SO3F | SO3FunHomochoric |
Class Properties
| S3G | homochoricSO3Grid |
| c | coefficients |
| bandwidth | harmonic degree used when converting to SO3FunHarmonic |
| SRight, CS | symmetry of the grid, acting from the right |
| SLeft, SS | symmetry of the grid, 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/SO3FunHomochoric.SO3FunHomochoric.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.