A method of S2FunHarmonic.

convolve a spherical function with a kernel or another spherical function.

Syntax

smoothed = f.conv(psi)
correlation = f.conv(g)

Description

A radial kernel multiplies each spherical harmonic degree by its kernel multiplier and returns an S2FunHarmonic. With another S2Fun, convolution compares their relative rotations and returns an SO3FunHarmonic. The result therefore depends on the second argument’s domain.

Input

g S2Kernel, SO3Kernel or spherical function

See also

SO3FunHarmonic.conv, S2Kernel.conv, S2FunConvolution

Signature

S2FunHarmonic.conv(self, g)

MATLAB’s S2FunHarmonic.conv

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/S2FunHarmonic.conv_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.