A method of S1FunHarmonic.

the convolution with a de la Vallee Poussin kernel, 2.9 degree unless a kernel or a halfwidth is given; MATLAB’s smooth

Syntax

sF = smooth(sF)

With the de la Vallee Poussin kernel of 2.9 degree.

sF = smooth(sF, halfwidth=30*degree)

A wider kernel.

sF = smooth(sF, S1DeLaValleePoussinKernel(halfwidth=30*degree))

A kernel given.

Description

Every coefficient c_k is multiplied by the coefficient of degree k of the kernel. The de la Vallee Poussin kernel of halfwidth h keeps the degrees up to n = 1.2 / h unchanged and damps those up to 2n linearly to zero, so a narrow kernel leaves a function of low bandwidth as it is.

Input

sF S1FunHarmonic

Keywords

keyword default description
psi None S1Kernel, the smoothing kernel, which replaces the halfwidth
halfwidth 0.05061454830783556 the halfwidth of the de la Vallee Poussin kernel

Output

sF S1FunHarmonic, the smoothed function

See also

S1FunHarmonic.conv, S1DeLaValleePoussinKernel

MATLAB’s S1Fun.smooth

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/S1Fun.smooth_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.