S1Kernel edit page

an abstract class representing kernel functions on the circle

A kernel on the circle is a nonnegative even function concentrated at 0, stored as an S1FunHarmonic. Deriving classes give its Fourier coefficients a closed form; the halfwidth and the arithmetics come from here.

Syntax

psi = S1Kernel(fhat)

Input

fhat Fourier coefficients, from degree -N to N

Output

psi S1Kernel

Class Properties

fhat Fourier coefficients
bandwidth maximum harmonic degree

Derived Classes

S1DeLaValleePoussinKernel de la Vallee Poussin kernel
S1DirichletKernel Dirichlet kernel
S1FejerKernel Fejer kernel
S1BumpKernel indicator function of an interval

See also

S1DirichletKernel S1FejerKernel S1DeLaValleePoussinKernel S1BumpKernel

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/S1Kernel.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.