the z folds on the crystal and on the specimen side: the order of the rotation about z that leaves the frame’s group invariant

Syntax

rA, rB = folds(cs, ss)

The folds of both frames.

rA, rB = folds(cs)

The specimen side the default frame.

Description

A harmonic transform on SO(3) samples the Euler angles on grids these folds divide, so that the symmetric equivalents of a node fall on nodes again.

Input

CS referenceFrame, the crystal frame

Keywords

keyword default description
SS None the specimen frame, specimenFrame.default when not given

Output

rA, rB the orders of the rotations about z of the crystal and the specimen group

See also

bandwidthFor, quadratureSO3Grid

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/folds_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.