MLSSolver.MLSSolver edit page

The class MLSSolver implements the modified least squares solver for reconstructing an ODF from arbitrarily scattered pole figure intensities. The resulting ODF is represented as a weighted sum of unimodal components. The shape and the number of component centers can be specified. The algorithm is explained in detail in

  • A novel pole figure inversion method: specification of the MTEX algorithm*, Hielscher, Schaeben: J. of Appl. Cryst., 41(6), 2008.

Syntax

solver = MLSSolver(pf,'resolution',5*degree,'halfwidth',7.5*degree);
[odf,alpha] = solver.calcODF;

Class Properties

psi SO3Kernel describing the shape of the unimodal components
S3G the centers of the unimodal components as SO3Grid in orientation space
c weighting coefficients to the unimodal components
weights quadrature weights
zrm zeroRangeMethod
ghostCorrection whether to use ghost correction
iterMax max number of iterations
iterMin min number of iterations

Dependent Class Properties

odf SO3Fun the reconstructed ODF

See also

PoleFigureTutorial PoleFigure2ODFAmbiguity PoleFigure2ODFGhostCorrection

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/MLSSolver.MLSSolver.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.