the centre of a region (MATLAB @sphericalRegion/center): the pole of a single circle, the bisector of the two boundaries furthest apart for a lune, the barycentre of the vertices of a triangle, and the area centroid of anything larger. The fold is a symmetry of the sector, so it is this centre and not the group’s Dirichlet centre that it turns about

Syntax

c = regionCenter(cs.fundamentalSector())

The centre as an (3,) array.

c = regionCenter(cs.fundamentalSector(), resolution=0.5*degree)

A finer grid for the centroid.

Description

The resolution matters only for a region of four or more vertices, whose centroid is summed over an equispaced grid of that spacing; a region without boundary has its centre at z.

Input

sR sphericalRegion

Keywords

keyword default description
resolution 1*degree the spacing of the grid the area centroid is summed over

Output

c (3,) array, the unit vector of the centre

See also

sphericalRegion.center, polarCoordinates, sectorFolds

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/regionCenter_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.