A method of orientationRegion.

the sector of rotation axes the region allows at a fixed rotation angle: a bound with N = (-sin(w_i/4), cos(w_i/4) a_i) reads for q = (cos(w/2), sin(w/2) v) as dot(v, a_i) <= cot(w/2) tan(w_i/4), a small circle about the axis

Syntax

sR = oR.axisSector(40*degree)

The axes of a 40 degree rotation in the region.

sR = oR.axisSector(40*degree, sector=None)

Without the region’s own sector of axes.

Description

The bounds whose small circle covers every axis at this angle drop out; the remaining circles are joined with a sector of axes, by default the region’s own, the sector its symmetry leaves for the axes.

Input

oR orientationRegion
omega the rotation angle

Keywords

keyword default description
sector 'own' the sphericalRegion the axes are restricted to as well, ‘own’ the region’s own sector, None no restriction

Output

sR sphericalRegion of the axes, in the first frame of the region

See also

orientationRegion.maxAngle, sphericalRegion

MATLAB’s orientationRegion.axisSector

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.axisSector_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.