SO3Fun.conv edit page

convolution of a rotational function with a rotational or spherical function or a kernel function

For detailed information about the definition of the convolution take a look in the documentation.

The convolution of matrices of SO3Functions with matrices of SO3Functions works elementwise.

Syntax

SO3F = conv(SO3F1,SO3F2)
SO3F = conv(SO3F1,psi)
sF2 = conv(SO3F1,sF1)
sF2 = conv(SO3F1,phi)

Input

SO3F1, SO3F2 SO3Fun
psi convolution SO3Kernel
sF1 S2Fun
phi convolution S2Kernel

Output

SO3F SO3FunHarmonic
sF2 S2FunHarmonic

See also

SO3FunHarmonic.conv SO3FunRBF.conv SO3FunCBF.conv SO3Kernel.conv S2FunHarmonic.conv S2Kernel.conv

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/SO3Fun.conv.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.