the child texture of a parent texture, the transformation texture; MATLAB’s transformODF, called as variants(p2c, odf)

Syntax

odfC = transformODF(odfP, p2c)

Every variant equally likely.

odfC = transformODF(odfP, p2c, vSel)

The parents weighted by a function vSel.

Description

The child ODF at a child orientation is the mean of the parent ODF over the parent orientations it can come from, one per variant of p2c, expanded to the bandwidth of the parent ODF. With vSel the parents are weighted by its values at them, normalised to mean one per child orientation, and the child ODF is scaled to the mean of the parent ODF, a density again, where MATLAB leaves it unscaled. MATLAB’s ‘variantSelection’ takes a weight per variant or the number of one variant instead; the port has no such form.

Input

odfP SO3Fun, the parent ODF
p2c orientation, the parent to child orientation relationship

Keywords

keyword default description
vSel None an SO3Fun over the parent orientations, the variant selection

Output

odfC SO3FunHarmonic, the child ODF in the child crystal frame

See also

orientation.variants, calcParent2Child, unimodalODF

MATLAB’s transformODF

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/transformODF_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.