A method of orientation.

random orientations

Syntax

ori = orientation.rand(cs)

One random orientation.

ori = orientation.rand(n, cs, ss)

N of them.

ori = orientation.rand(m, n, cs)

An m x n array.

ori = orientation.rand(n, cs, maxAngle=10*degree)

Within 10 degree of the identity.

Description

The rotations are uniformly distributed on SO(3), or within the ball of radius maxAngle about the identity; the symmetry of the frames does not enter the draw.

Input

args the shape, as numbers; the crystal frame cs and the specimen frame ss, or a second crystal frame for misorientations

Keywords

keyword default description
rng None a NumPy random generator, for draws that repeat
antipodal False misorientations with grain exchange
maxAngle None the largest rotational angle, in radians

Output

ori orientation

See also

rotation.rand, orientation.id, discreteSample

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.rand_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.