the integral over orientation space, 8 pi^2 times the mean; with an axis the sum along it, MATLAB’s sum(odf, d) with d = axis + 1, which for a single function is the function itself

Syntax

value = sum(odf)

The integral, 8 pi^2 for an ODF.

odf = sum(odf, axis=0)

Along an axis of a list, the function itself for one.

Input

odf SO3Fun

Keywords

keyword	default	description
`axis`	`None`	the axis to sum along, a non-negative integer; the integral when None

Output

`value`	the integral, a number
`odf`	the function summed along the axis

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/SO3FunRBF.sum_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.

SO3FunRBF.sum

Syntax

Input

Keywords

Output

See also