base class for scalar functions on orientation space SO(3)

Syntax

SO3Fun()

Description

Represent an orientation distribution or another orientation-dependent property with SO3FunHarmonic coefficients, SO3FunRBF kernel sums, SO3FunCBF fibre sums, SO3FunBingham distributions or SO3FunHandle callables. Evaluate a concrete function at rotations or orientations using f(ori). Its crystal and specimen frames define the symmetry-equivalent orientations at which values agree.

An orientation distribution of mean one uses multiples of a uniform distribution as its units: a value of two means twice the uniform density. General SO3Fun objects can also represent signed or complex functions and are not automatically normalised densities.

This base class provides the common interface; construct one of its representations.

See also

SO3FunHarmonic, SO3FunRBF, SO3FunHandle, calcDensity, unimodalODF

MATLAB’s SO3Fun.SO3Fun

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/SO3Fun.SO3Fun_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.