sphericalRegion.thetaIntervals edit page

all intervals of the polar angle that belong to the spherical region

Description

In contrast to thetaRange, which returns only the hull [min(theta),max(theta)], this returns every connected component. Since a spherical region is bounded by small circles, the polar angles belonging to a fixed azimuth angle need not form a single interval - the axis sectors of a misorientation fundamental region close to the maximum angle are cut open at the corners of the sector, e.g. for the point group 23.

Syntax

[thetaMin,thetaMax] = thetaIntervals(sR,rho)

Input

sR sphericalRegion
rho azimuth angles

Output

thetaMin nInt × numel(rho), padded with NaN
thetaMax nInt × numel(rho), padded with NaN

See also

sphericalRegion.rhoIntervals

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/sphericalRegion.thetaIntervals.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.