the M-index of an ODF by Skemer et al., computed from the ODF instead of a discrete number of orientations; MATLAB’s calcMIndex

Syntax

mi = calcMIndex(odf)

The M-index.

mi = calcMIndex(odf, resolution=2*degree)

Angle distributions on a coarser grid.

Description

The M-index is half the total variation between the misorientation angle distributions of the uniform and of the uncorrelated misorientation distribution, calcMDF(odf): zero for a random texture, one for a single crystal.

Input

odf SO3Fun

Keywords

keyword	default	description
`resolution`	`1*degree`	the step of the angle distributions

Output

`mi`	the M-index, a number between 0 and 1

References

P. Skemer, I. Katayama, Z. Jiang, S.-I. Karato, The misorientation index: development of a new method for calculating the strength of lattice-preferred orientation, Tectonophysics 411 (2005) 157-167
H. Schaeben, Comment on “The misorientation index”, Tectonophysics 441 (2007) 115-117
D. Mainprice, F. Bachmann, R. Hielscher, H. Schaeben, Descriptive tools for the analysis of texture projects with large datasets using MTEX: strength, symmetry and components, Geological Society, London, Special Publications 409 (2014)

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.calcMIndex_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.

orientation.calcMIndex