A method of rotation.
the inner product up to sign, since q and -q are one rotation
Syntax
d = dot(rot1, rot2)
| cos(omega/2) | of the rotation between them. |
d = dot(rot1, rot2, antipodal=False)
With the sign of the quaternions.
Description
The absolute value is cos(omega / 2) of the angle omega between the rotations; the product with an improper transform is zero. orientation.dot reduces by the symmetry.
Input
rot1, rot2 |
rotation |
Keywords
| keyword | default | description |
|---|---|---|
antipodal |
True |
take the absolute value, q and -q being one rotation |
Output
d |
the inner products |
See also
quaternion.dot, rotation.angle, orientation.dot
MATLAB’s rotation.dot
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/rotation.dot_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.