A method of orientation.

the orientations of homochoric vectors; MATLAB’s rotation.byHomochoric

Syntax

ori = orientation.byHomochoric(v, cs, ss)

From homochoric vectors.

mori = orientation.byHomochoric(v, cs, cs, antipodal=True)

A misorientation with grain exchange.

Description

A homochoric vector points along the rotational axis and has the length (3/4 (omega - sin omega))^(1/3) for the rotational angle omega, which maps the rotations onto a ball of radius (3 pi / 4)^(1/3), volume preserving.

Input

v vector3d, or an array with the coordinates along its last axis
frames the crystal frame, then the specimen frame or a second crystal frame

Keywords

keyword default description
antipodal False mark a misorientation with grain exchange

Output

ori orientation

See also

homochoric, orientation.byRodrigues, rotation.byHomochoric

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.byHomochoric_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.