PDF to ODF inversion
calcODF is one of the main function of the MTEX toolbox. It estimates an ODF from given Polefigure intensities by fitting an ODF that consists of a large number of unimodal ODFs to the data. It does so by minimizing a least squares functional. The command calcODF supports automatic ghost correction and the zero range method. The function calcODF has several options to control convergence, resolution, smoothing, etc. See below for a complete description.
Syntax
odf = calcODF(pf)
odf = calcODF(pf,'halfwidth',5*degree)
odf = calcODF(pf,'zeroRange')
odf = calcODF(pf,'resolution',2.5*degree)Input
| pf | PoleFigure |
Output
| odf | reconstructed SO3Fun |
| alpha | scaling factors, calculated during reconstruction |
Options
| kernel | the ansatz functions (default = de la Vallee Poussin) |
| halfwidth | halfwidth of the ansatz functions (default = 2/3 * resolution) |
| resolution | localization grid for the ansatz functions (default = 3/2 resolution(pf)) |
| iterMax | maximum number of iterations (default = 11) |
| iterMin | minimum number of iterations (default = 5) |
| c0 | initial guess (default = [1 1 1 1 ... 1]) |
Flags
| zeroRange | apply zero range method (default = ) |
| quadratureWeights | use quadrature weights |
| noGhostCorrection | omit ghost correction |
| ensure_descent | stop iteration whenever no progress if observed |
| force_iter_max | always go until ITER_MAX |
| silent | no output |
References
- A novel pole figure inversion method: specification of the MTEX algorithm, J. Appl. Cryst. 41, 2008.
See also
PoleFigure2odf ODF_demo PoleFigureSimulation_demo PoleFigure.load PoleFigureImport Examples
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/PoleFigure.calcODF.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.