A method of sphericalRegion.
the fraction of the sphere the region covers, by a quadrature on a fine grid
Syntax
a = sR.volume()
On a grid of 1 degree.
a = sR.volume(resolution=0.25*degree)
Finer, more accurate.
Description
The share of the points of a regular grid in polar coordinates inside the region, weighted by sin(theta); 1 is the whole sphere, so 4 pi times it is the area. Antipodal regions count -v as well.
Input
sR |
sphericalRegion |
Keywords
| keyword | default | description |
|---|---|---|
resolution |
1*degree |
the spacing of the quadrature grid |
Output
a |
the fraction of the sphere, between 0 and 1 |
See also
sphericalRegion.checkInside, sphericalRegion.center
MATLAB’s sphericalRegion.volume
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.volume_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.