wrap a callable formula as a SO3Kernel.

Syntax

psi = SO3KernelHandle(fun, bandwidth=32)

Description

The function must accept numeric arrays whose entries are cos(omega/2) and return matching kernel values. Direct evaluation calls fun; harmonic coefficients are computed by numerical quadrature. Choose the supplied formula’s normalisation explicitly; the wrapper does not rescale its values.

Input

fun vectorised callable of cos(omega/2)

Keywords

keyword	default	description
`bandwidth`		maximum degree used for harmonic coefficients; the maxS1Bandwidth preference when omitted

Output

psi SO3KernelHandle

Properties

`fun`	original callable
`bandwidth`	largest retained harmonic degree

Members

bandwidth

the degree the coefficients are computed to, the preference maxS1Bandwidth unless given

MATLAB’s SO3KernelHandle_index

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/SO3KernelHandle_index_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.

The class SO3KernelHandle