The class sphericalRegion describes a region on the sphere that is bounded by small circles. For a list of normal vectors \(N_i\) and coefficients \(\alpha_i\) the region is defined as all vectors \(v\) on the sphere that satisfy for all \(i\) the condition
\[v \cdot N_i \le \alpha_i\]
Syntax
sR = sphericalRegion(N)
sR = sphericalRegion(N,alpha)
sR = sphericalRegion(N,'antipodal')
sR = sphericalRegion('upper',frame)Input
| N | vector3d |
| alpha | double (default is 0 which corresponds to a great circle) |
| frame | referenceFrame the region is given in |
Class Properties
| N | the normal vector3d of the bounding circles |
| alpha | the cosine of the bounding circle |
| antipodal |
See also
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.sphericalRegion.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.