S2Kernel.S2Kernel edit page

The class S2Kernel is needed in MTEX to define the specific form of fibre ODFs. It has to be passed as an argument when calling the methods fibreODF. For more information take a look at the documentation.

A kernel is a radially symmetric function on the sphere and is stored by its Legendre coefficients A. Deriving classes give A a closed form, the arithmetics and the evaluation are inherited from here.

Syntax

psi = S2Kernel(A)
psi = S2Kernel(A,fun)

Input

`A`	`Legendre coefficients`
`fun`	`@function_handle for exact evaluation in the angle`

Output

psi S2Kernel

Options

normalized multiply A by 2*l+1

Class Properties

`A`	`Legendre coefficients`
`bandwidth`	`maximum Legendre degree`

Derived Classes

`S2DeLaValleePoussinKernel`	`de la Vallee Poussin kernel`
`S2DirichletKernel`	`Dirichlet kernel`
`S2BumpKernel`	`indicator function of a spherical cap`
`S2RestrictedDistanceKernel`	`kernel with local support`
`S2KernelHandle`	`kernel given by a function handle`

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/S2Kernel.S2Kernel.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.

S2Kernel.S2Kernel