A method of orientationRegion.

the largest rotation angle inside the region, at a vertex of it in Rodrigues space, or about a given axis

Syntax

omega = oR.maxAngle()

The largest angle in the region.

omega = oR.maxAngle(vector3d(1, 1, 1))

The largest angle about an axis.

Description

Without an axis the angle is found exactly at the vertices of the region in Rodrigues space; only a region whose sector of axes has caps is sampled, by random rotations until hits of them fall inside. About an axis it is the least angle at which a bound is met, 0 for an axis outside the region’s sector of axes, where MATLAB first projects the axis into the sector.

Input

oR orientationRegion
v vector3d, a single rotation axis

Keywords

keyword default description
hits 2000 the number of random rotations inside the region the sampling waits for

Output

omega the angle in radians

See also

maxAngle, orientationRegion.axisSector

MATLAB’s orientationRegion.maxAngle

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/orientationRegion.maxAngle_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.