A method of vector3d.

the rotation vector to its rotation: at the identity, or at a reference as a tangent vector

Syntax

rot = exp(v)
The rotation of axis v and angle v . 
mori = exp(h)

A crystal direction: a misorientation of its frame.

ori = exp(h, oriRef)

At a reference orientation.

Description

A vector in a crystal frame gives the misorientation of that frame with itself, and is taken on the right of a reference; a specimen vector on the left.

Input

v vector3d or Miller, the rotation vector: the axis times the angle
ref rotation or orientation, the reference

Keywords

keyword default description
side None ‘left’ or ‘right’, the side of the reference; by default right for a crystal direction, left otherwise

Output

rot rotation, or orientation for a crystal direction or a reference orientation

See also

quaternion.log, quaternion.exp, SO3TangentVector

MATLAB’s vector3d.exp

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/vector3d.exp_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.