Compute the S2-Fourier/harmonic coefficients of an given S2Fun or given evaluations on a specific quadrature grid.
Syntax
sF = S2FunHarmonicSym.quadrature(nodes,values,'weights',w,CS)
sF = S2FunHarmonicSym.quadrature(f,CS)
sF = S2FunHarmonicSym.quadrature(f, 'bandwidth', bandwidth,CS)Input
| values | double (first dimension has to be the evaluations) |
| nodes | vector3d |
| w | double quadrature weights |
| f | function handle in vector3d (first dimension has to be the evaluations) |
Output
| sF | S2FunHarmonic |
Options
| symmetrise | apply symmetrisation, only required if the function is not yet symmetric |
| bandwidth | harmonic cut off 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/S2FunHarmonicSym.quadrature.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.