base class for scalar functions of a direction on the unit sphere

Syntax

S2Fun()

Description

Use S2FunHarmonic for spherical harmonic coefficients, S2FunHandle for a callable, S2FunTri for values on a triangulation, or S2FunBingham for an axial density. Evaluate a concrete function with f(v), where v is vector3d or Miller directions. A frame can impose crystal symmetry; antipodal functions satisfy f(v)=f(-v).

Directional densities from calcDensity and S2FunBingham have spherical mean one, equivalent to integral 4*pi with surface-area measure. General S2Fun objects may also represent signed or complex functions and are not automatically normalised densities.

This base class supplies the common interface; construct one of its representations.

See also

S2FunHarmonic, S2FunHandle, S2FunTri, S2FunBingham, calcDensity

MATLAB’s S2Fun.S2Fun

source

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_py.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.