A method of PoleFigure.

the mean intensity of each pole figure, the integral over the sphere; MATLAB’s mean

Syntax

m = mean(pf)

By the quadrature weights of the directions.

m = pf.mean(weights=w)

By weights of one’s own, one array per pole figure.

Description

The intensities are summed with the weights calcQuadratureWeights gives the directions of each pole figure, which sum to one: the exact weights of a regular grid, the Voronoi areas of scattered directions.

Input

pf PoleFigure

Keywords

keyword default description
weights None a list of weights, one array per pole figure of the shape of its intensities, instead of the quadrature weights

Output

m ndarray, one number per pole figure

See also

calcQuadratureWeights, PoleFigure.normalize

MATLAB’s PoleFigure.mean

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/PoleFigure.mean_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.