A method of S2Fun.

a unimodal function on the sphere, a radial kernel about one direction, as a harmonic expansion

Syntax

sF = S2Fun.unimodal()

About the north pole, halfwidth 25 degree.

sF = S2Fun.unimodal(halfwidth=10*degree)

Another halfwidth.

sF = S2Fun.unimodal(v, psi)

The kernel psi about the direction v.

Description

The function is the kernel psi, by default the de la Vallee Poussin kernel of the halfwidth, turned from the north pole to v.

Input

v vector3d, the direction of the maximum, by default the north pole
psi S2Kernel, by default the de la Vallee Poussin kernel of the halfwidth

Keywords

keyword default description
halfwidth 25*degree the halfwidth of the default de la Vallee Poussin kernel

Output

sF S2FunHarmonic

See also

S2DeLaValleePoussinKernel, S2Fun.smiley, S2Kernels

MATLAB’s S2Fun.unimodal

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/S2Fun.unimodal_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.