A method of quaternion.

the Euler angles (alpha, beta, gamma) in the convention named, the session’s by default

Syntax

phi1, Phi, phi2 = rot.Euler()

The session’s convention, Bunge by default.

alpha, beta, gamma = rot.Euler('ZYZ')

Matthies’ convention.

Description

The conventions are ‘Bunge’ or ‘ZXZ’, ‘Matthies’, ‘ZYZ’ or ‘ABG’, ‘Roe’, ‘Kocks’, ‘Canova’ and ‘nfft’; the default is the preference ‘EulerAngleConvention’. Where the second angle is 0 only the sum of the first and third is determined, and the first takes it.

Input

rot quaternion

Keywords

keyword default description
convention None the name of the convention

Output

alpha, beta, gamma three arrays of angles in radians in the shape of rot

See also

rotation.byEuler, quaternion.Rodrigues, quaternion.matrix

MATLAB’s quaternion.Euler

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/quaternion.Euler_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.