PoleFigure.calcODFIterative edit page

iterative PDF to ODF inversion

calcODFiterative solves the PF to ODF inversion problem by iteratively adjusting the kernel width, starting with a uniform ODF.

Iteratively adjusting the kernel width allows to model ODFs from highly irregularly sampled data, as missing information is modelled by assuming volume portions along tori (fibres) justified by a coarser model. This method basically provides an elaborated guess for starting values for PoleFigure.calcODF and may be seen as some form of regularization.

Syntax

odf = calcODFIterative(pf)
odf = calcODFIterative(pf,'halfwidth',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 = resolution)`
`resolution`	`localization grid for the ansatz functions (default = resolution(pf))`
`thinning`	`corresponds to zero range, will remove nodes with low volume portion (default = 0.025, i.e. 2.5% of uniform)`

Flags

`nothinning`	`omit reduction of nodes`
`silent`	`no output`

References

https://doi.org/10.1007/978-3-658-14941-3_4 Bachmann, F. (2016). Texturbestimmung aus Beugungsbildern. In: Optimierung der Goniometrie zur Texturbestimmung aus Röntgenbeugungsbildern. Springer Spektrum, Wiesbaden.

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.calcODFIterative.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.

PoleFigure.calcODFIterative