symmetry.rotation edit page

The class rotation allows to work with three dimensional orthogonal matrices.

Syntax

rot = rotation.byEuler(phi1,Phi,phi2)
rot = rotation.byEuler(alpha,beta,gamma,'ZYZ')
rot = rotation.byAxisAngle(v,omega)
rot = rotation.byMatrix(A)
rot = rotation.map(u1,v1)
rot = rotation.map(u1,v1,u2,v2)
rot = reflection(b)
rot = rotation.inversion
rot = reflection(n)
rot = rotation.byRodrigues(v)
rot = rotation(fibre(u1,v1),'resolution',5*degree)
rot = rotation(a,b,c,d)

Input

phi1, Phi, phi2 Euler angles
u1, u2 vector3d
v, v1, v2 vector3d
n vector3d
a,b,c,d quaternion components

Output

rot rotation

Class Properties

phi1, Phi, phi2 Euler angles
i inversion
a, b, c, d quaternion components

See also

RotationDefinition RotationOperations RotationPlotting

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/symmetry.rotation.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.