A method of embedding.

the arithmetic mean of the images; MATLAB’s mean of an embedding

Syntax

m = mean(e)

The mean image of the whole list.

m = mean(e, weights=w)

Weighted, the weights normalised to sum one.

Description

The mean of the images is no image of an orientation; m.orientation() projects it back, the mean orientation, and norm(m, normalized=True) measures the spread. The mean of an empty list is NaN. MATLAB’s mean along a dimension, mean(e, d), has no counterpart here: the mean is always over the whole list.

Input

e embedding

Keywords

keyword default description
weights None one weight per image

Output

m embedding, a single image

See also

embedding.orientation, embedding.norm, OrientationEmbeddings

MATLAB’s embedding.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/embedding.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.