A method of sphericalRegion.

the region bounded by the great circles through consecutive vertices V, taken counterclockwise

Syntax

sR = sphericalRegion.byVertices(vector3d([[0, 0, 1], [1, 0, 1], [1, 1, 1]]))

A triangle.

sR = sphericalRegion.byVertices(V, frame=cs)

In a crystal frame.

Description

The normal of every side is the cross product of two consecutive vertices, the last joined to the first, so the region lies to the left when walking along the vertices.

Input

V vector3d, the vertices in counterclockwise order

Keywords

keyword default description
frame None the frame the region is written in

Output

sR sphericalRegion

See also

sphericalRegion, sphericalRegion.vertices

MATLAB’s sphericalRegion.byVertices

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/sphericalRegion.byVertices_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.