A method of orientation.

the dot product up to symmetry, cos(omega/2) of the misorientation angle omega reduced over the groups of both frames; MATLAB’s orientation.dot and dot_outer

Syntax

d = dot(ori1, ori2)

Pairwise, broadcast.

d = dot(ori1.reshape(-1, 1), ori2)

Every pair, MATLAB’s dot_outer.

d = dot(ori1, ori2, symmetry=False)

Of the rotations as stored.

Description

MATLAB’s dot_outer is the broadcast of a column against a row. With symmetry=False, or with a rotation, it is rotation.dot: |q1 . q2|, or the signed product with antipodal=False.

Input

ori1 orientation
ori2 orientation, or a rotation

Keywords

keyword default description
symmetry True reduce over the symmetric equivalents; False takes the rotations as stored
antipodal True without symmetry, the absolute value of the product; False keeps its sign. With symmetry it is not used, the grain exchange comes from ori1 and ori2

Output

d cos(omega/2), of the broadcast shape

See also

orientation.angle, rotation.dot

MATLAB’s orientation.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/orientation.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.