unimodalODF edit page

define a unimodal ODF

Description

unimodalODF defines a radially symmetric, unimodal ODF with respect to a crystal orientation mod. The shape of the ODF is defined by a SO3Kernel function.

Syntax

mod = orientation.byEuler(phi1,Phi,phi2,CS,SS)
odf = unimodalODF(mod) % default halfwidth 10 degree
odf = unimodalODF(mod,'halfwidth',15*degree) % specify halfwidth
odf = unimodalODF(mod,CS,SS)  % specify crystal and specimen symmetry
odf = unimodalODF(mod,psi) % specify <SO3Kernel.SO3Kernel.html SO3Kernel> shape
odf = unimodalODF(mod,'weights',weights) % specify weights for each component

Input

mod quaternion modal orientation
CS, SS crystal, specimen symmetry
hw halfwidth of the kernel (default -- 10°)
psi SO3Kernel function (default -- SO3 de la Vallee Poussin)

Output

odf SO3Fun

Flags

nothinning keep all nodes, otherwise small portions will be thinned out by default

See also

FourierODF uniformODF BinghamODF fibreODF

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/unimodalODF.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.