SO3Fun.volume edit page

Integrates an SO3Fun on the region of all orientations that are close to a specified orientation (center) by a tolerance (radius), i.e.

\[ \int_{\angle(R,c)<r} f® \, dR.\]

Description

The function 'volume' returns the ratio of the volume of an SO3Fun on the region (of all orientations that are close to a specified orientation (center) by a tolerance (radius)) to the volume of the entire rotational function.

Syntax

v = volume(odf,center,radius)
v = volume(odf,fibre,radius) % gives the volume with a fibre

Input

odf SO3Fun
center orientation
fibre fibre
radius double

Options

resolution resolution of discretization

See also

SO3FunHarmonic.volume SO3Fun.fibreVolume SO3Fun.entropy SO3Fun.SO3Fun

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/SO3Fun.volume.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.