orientation.calcFourierODF edit page

calculate ODF from individual orientations via kernel density estimation

calcODF is one of the core function of the MTEX toolbox. It estimates an ODF from a set of individual crystal orientations by kernel density estimation.

The function calcODF has several options to control the halfwidth of the kernel functions, the resolution, etc. Most important the estimated ODF is affected by the halfwidth of the kernel function.

If the halfwidth is large the estimated ODF is smooth whereas a small halfwidth results in a sharp ODF. It depends on your prior information about the ODF to choose this parameter right. Look at this description for exhausive discussion.

Syntax

calcODF(ori)
calcODF(ori,'kernel',psi)
calcODF(ori,'bandwidth',32)

Input

ori orientation

Output

odf SO3Fun
psi SO3Kernel

Options

halfwidth halfwidth of the kernel function
kernel kernel function (default -- de la Valee Poussin kernel)
bandwidth order up to which Fourier coefficients are calculated

See also

EBSDTutorial EBSD2ODF EBSDSimulation_demo EBSD.load EBSD.EBSD SO3Kernel.SO3Kernel

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.calcFourierODF.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.