the transition matrix taking coordinates from frame rf1 to frame rf2
On top of the pure frame transition this establishes the correspondence of the crystal axes first: when the axis lengths a, b, c of the two frames do not agree within 1%, the axes of rf1 are re-paired with those of rf2 by nearest length - this is how e.g. the monoclinic settings '121' and '112' relate.
Syntax
M = transformationMatrix(rf1,rf2)Input
| rf1, rf2 | crystalFrame |
Output
| M | 3x3 transformation matrix from rf1 to rf2 |
See also
referenceFrame.transformationMatrix referenceFrame.isCompatible
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/crystalFrame.transformationMatrix.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.