Syntax

vSym = symmetrise(v,S)

% include antipodal symmetry
vSym = symmetrise(v,S,'antipodal')

% exclude antipodal symmetry
vSym = symmetrise(v,S,'noAntipodal')

% every symmetrically equivalent direction only once
[vSym,l,sym] = symmetrise(v,S,'unique')

% every symmetrically equivalent axis only once
[vSym,l,sym] = symmetrise(v,S,'unique','noAntipodal')

Input

`v`	`vector3d`
`S`	`symmetry`

Output

`vSym`	`S * v vector3d`
`l`	`multiplicity of the crystal directions`
`sym`	`rotation`

Flags

`antipodal`	`include antipodal symmetry`
`noAntipodal`	`do not include antipodal symmetry (without option unique)`
`noAntipodal`	`do not remove antipodal vectors (with option unique)`
`unique`	`only return distinct axes or directions (noAntipodal)`

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/vector3d.symmetrise.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.