SO3Kernel.SO3Kernel edit page

The class SO3Kernel is needed in MTEX to define the specific form of unimodal ODFs. It has to be passed as an argument when calling the methods uniformODF. For more information take a look at the documentation.

A kernel is a radially symmetric function on SO(3) and is stored by its Chebyshev coefficients A. Deriving classes give A a closed form, the arithmetics and the evaluation are inherited from here.

Syntax

psi = SO3Kernel(A)
psi = SO3Kernel(fun)

Input

A Chebyshev coefficients
fun @function_handle, gives an SO3KernelHandle

Output

psi SO3Kernel

Class Properties

A Chebyshev coefficients
bandwidth maximum harmonic degree

Derived Classes

SO3DeLaValleePoussinKernel de la Vallee Poussin kernel
SO3AbelPoissonKernel Abel Poisson kernel
SO3vonMisesFisherKernel von Mises Fisher kernel
SO3GaussWeierstrassKernel Gauss Weierstrass kernel
SO3BumpKernel indicator function of a ball
SO3KernelHandle kernel given by a function handle

See also

SO3DeLaValleePoussinKernel SO3AbelPoissonKernel

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/SO3Kernel.SO3Kernel.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.