whether a transition between the two frames exists, and the transition
Two frames are compatible when the transition between them is close to orthogonal, i.e. the same physical data can be re-expressed from one in the other. The lengths of the basis vectors do not enter - the transition is computed on normalized bases.
Syntax
[out,M] = isCompatible(rf1,rf2)
[out,M] = isCompatible(rf1,rf2,tol)Input
| rf1, rf2 | referenceFrame |
| tol | tolerance on the orthogonality defect of M, default 1e-1 |
Output
| out | logical |
| M | 3x3 transformation matrix from rf1 to rf2 |
See also
referenceFrame.transformationMatrix referenceFrame.isAligned
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/referenceFrame.isCompatible.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.