a class representing a spherical Bingham distribution
The Bingham distribution is the antipodal analogue of a Gaussian on the sphere. Its shape parameters Z, sorted decreasingly with Z(3) < 0, run from a rotationally symmetric unimodal distribution for Z(1) = Z(2) to a girdle distribution for Z(1) << Z(2).
Syntax
BS2 = S2FunBingham(Z)
BS2 = S2FunBingham(Z,a)
BS2 = S2FunBingham(Z,a,cs)Input
| Z | shape parameters, Z(1) >= Z(2) >= Z(3), Z(3) < 0 |
| a | principal axes, vector3d, default are the coordinate axes |
| cs | symmetry or referenceFrame the distribution is expressed in |
Output
| BS2 | S2FunBingham |
Class Properties
| a | principal axes, vector3d |
| Z | shape parameters |
| N | normalization constant |
| antipodal | always true |
Example
BS2 = S2FunBingham([-10 -10 -20])BS2 = S2FunBingham (y↓→x)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/S2FunBingham.S2FunBingham.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.