the uncorrelated misorientation distribution function of one or two ODFs; MATLAB’s calcMDF

Syntax

mdf = calcMDF(odf)

Of one ODF, with grain exchange symmetry.

mdf = calcMDF(odf1, odf2, bandwidth=16)

Of two ODFs, at another bandwidth.

Description

The density of inv(o1) o2 for independent grains, (inv f1 * f2)(g) = int f1(S g^-1) f2(S) dS, computed by the convolution of the harmonic expansions; for one ODF the result has the exchange symmetry of the misorientations within one phase.

Input

`f1`	SO3Fun
`f2`	SO3Fun, the second phase; f1 when omitted

Keywords

keyword	default	description
`bandwidth`	`32`	the bandwidth the expansions are truncated to

Output

mdf SO3FunHarmonic, from the crystal frame of f1 to that of f2

Used on

AngleDistributionFunction, AxisDistributionFunction, MisorientationDistributionFunction

MATLAB’s SO3Fun.calcMDF

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.calcMDF_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.

SO3Fun.calcMDF