orientation.calcTensor edit page

compute the average tensor for a vector of orientations

Syntax

%returns the Voigt--, Reuss-- and Hill-- average <tensor.tensor.html tensor> of T
[TVoigt, TReuss, THill] = calcTensor(ori,T,'weights',w)
% returns the specified <tensor.tensor.html tensor>, i.e. 'Hill' in this case
THill = calcTensor(ori,T,'Hill')
% uses geometric mean instead of arithmetric one
TGeom = calcTensor(ori,T,'geometric')

Input

ori orientation
T tensor
w weights for each orientation

Output

TVoigt, TReuss, THill tensor

Options

Voigt Voigt mean
Reuss Reuss mean
Hill Hill mean
geometric geometric mean

See also

tensor.mean SO3Fun.calcTensor EBSD.calcTensor

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/orientation.calcTensor.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.