a tangent vector of SO(3), a rotation vector v at a reference rotation or orientation, on the left, exp(v) * oriRef, or on the right, oriRef * exp(v); from vectors or skew matrices

Syntax

SO3TangentVector(v, oriRef)
SO3TangentVector(v, oriRef, 'right')

SO3TangentVector(S, oriRef, side)

From skew matrices of shape (…, 3, 3).

Input

`v`	rotation-vector components as vector3d or numeric arrays, or skew-symmetric matrices
`oriRef`	reference rotation or orientation at which the tangent vectors are based
`side`	‘left’ for exp(v)oriRef or ‘right’ for oriRefexp(v); default ‘left’

Signature

SO3TangentVector(v, oriRef, side='left')

Used on

SingleSlipModel, RotationTangentSpace

MATLAB’s SO3TangentVector.SO3TangentVector

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/SO3TangentVector.SO3TangentVector_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.