A method of SO3VectorFieldHarmonic.

F’(R) = q F(q^-1 R) for a rotation of the specimen acting on a left field, F(q^-1 R) on a right one; F’(R) = F(R q^-1) and q^-1 F(R q^-1) for a rotation of the crystal

Syntax

SO3VF = rotate(SO3VF, rot)

Turned in the specimen frame.

SO3VF = SO3VF.rotate(rot, side='right')

Turned in the crystal frame.

Description

The coefficients of the three components are turned as those of a function, and where the rotation acts on the tangent space of the field the components are combined linearly as the vectors turn. A symmetry the rotation does not map onto itself is dropped with a warning. An orientation turns the field into the other frame of the orientation, as SO3FunHarmonic.rotate.

Input

SO3VF SO3VectorFieldHarmonic
rot rotation or orientation, one

Keywords

keyword default description
side 'left' ‘left’, the specimen side, or ‘right’, the crystal side; MATLAB’s flag ‘right’

Output

SO3VF SO3VectorFieldHarmonic

See also

SO3VectorFieldHandle.rotate, SO3VectorFieldRBF.rotate, SO3FunHarmonic.rotate

MATLAB’s SO3VectorField.rotate

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/SO3VectorField.rotate_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.