Syntax

SO3F = SO3FunCBF(h, r)

The fibre h

r, a 10 degree kernel.

SO3F = SO3FunCBF(h, r, weights, psi)

Several fibres, weighted, the kernel psi.

SO3F = SO3FunCBF(f, halfwidth=10*degree)

From a fibre f.

Description

The function of the orientation g is sum_i w_i psi(g h_i . r_i), every fibre taken with all its symmetrically equivalent fibres; it is constant along each fibre. The crystal frame is that of h, the specimen frame that of r or SS. The weights default to equal ones giving a mean of one. fibreODF builds one with the weights normalised.

Input

`h`	Miller or vector3d, the crystal directions, or a fibre
`r`	vector3d, the specimen directions, one per crystal direction
`weights`	one weight per fibre; by default a mean of one
`psi`	S2Kernel; by default the de la Vallee Poussin kernel

Keywords

keyword	default	description
`SS`	`None`	the specimen frame, when r has none
`halfwidth`	`None`	the halfwidth of the default kernel, 10 degree unless given

Output

SO3F SO3FunCBF

Used on

SO3FunDefinition

MATLAB’s SO3FunCBF.SO3FunCBF

source

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/SO3FunCBF.SO3FunCBF_py.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.

SO3FunCBF.SO3FunCBF