an abstract class representing functions on the sphere
A spherical function carries the referenceFrame it is expressed in - empty means frame-free, resolved against the session default at render time. Symmetry is deliberately not part of this class: only S2FunHarmonicSym represents a symmetrised function and holds a symmetry, whose frame it exposes here.
Deriving classes only have to implement the method eval, everything else - arithmetics, plotting, integration, extrema - is inherited from here.
Class Properties
| isReal | the function takes only real values |
| frame | referenceFrame the function is expressed in |
| how2plot | plottingConvention, read only |
Derived Classes
| S2FunHarmonic | spherical harmonic series |
| S2FunHarmonicSym | symmetrised spherical harmonic series |
| S2FunTri | piecewise linear on a spherical triangulation |
| S2FunHandle | function given by a function handle |
| S2FunBingham | spherical Bingham distribution |
| S2FunMLS | moving least squares approximation |
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/S2Fun.S2Fun.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.