A method of referenceFrame.

whether a transition between the frames exists, and the transition; MATLAB’s isCompatible

Syntax

ok, M = cs1.isCompatible(cs2)

The transition from cs1 to cs2.

ok, M = cs1.isCompatible(cs2, tol=1e-3)

With another tolerance.

Description

Two frames are compatible when the transition between them is close to orthogonal: the same data can be expressed in either. The lengths of the basis vectors do not enter, the transition is computed on normalised bases.

Input

cs1, cs2 referenceFrame

Keywords

keyword default description
tol None the tolerance on the orthogonality defect of M; by default referenceFrame.tolCompatible, 0.1

Output

ok bool
M the 3 x 3 transition matrix from cs1 to cs2

See also

referenceFrame.isAligned, referenceFrame.transformationMatrix

MATLAB’s referenceFrame.isCompatible

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/referenceFrame.isCompatible_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.