A method of orthogonalTransform.

proper orthogonal transforms defined by Euler angles

Syntax

T = orthogonalTransform.byEuler(phi1, Phi, phi2)

Bunge’s convention.

T = orthogonalTransform.byEuler(alpha, beta, gamma, 'ZYZ')

Matthies’ convention.

Description

The rotations of rotation.byEuler as orthogonal transforms of parity one, to be combined with improper ones. The angles are in radians; without a convention the preference EulerAngleConvention decides, Bunge’s ZXZ by default.

Input

a the first angle, phi1 or alpha; or an array whose last axis holds the three angles
b the second angle, Phi or beta; the convention when a holds the triples
c the third angle, phi2 or gamma

Keywords

keyword default description
convention None ‘Bunge’ or ‘ZXZ’, ‘Matthies’, ‘ZYZ’ or ‘ABG’, ‘Roe’, ‘Kocks’, ‘Canova’, ‘nfft’

Output

T orthogonalTransform, proper

See also

rotation.byEuler, orthogonalTransform.byMatrix, RotationRepresentations

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/orthogonalTransform.byEuler_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.