S2FunHarmonicSym.S2FunHarmonicSym edit page

a class representing a symmetric function on the sphere

This is the one S2Fun that holds a symmetry - the abstract classes carry only a referenceFrame, which for a symmetrised function is the frame of its symmetry.

Syntax

sF = S2FunHarmonicSym(fhat,s)
sF = S2FunHarmonicSym(fun,s)

Input

`fhat`	`harmonic coefficients, ordered by degree`
`fun`	`S2Fun or S2Kernel to be symmetrised`
`s`	`crystalSymmetry or specimenSymmetry`

Output

`sF`	`S2FunHarmonicSym`

Options

skipSymmetrise take the coefficients as already symmetric

Class Properties

`s`	`the symmetry, and with it the referenceFrame`
`CS, SS`	`both refer to s`
`fhat`	`harmonic coefficients`
`bandwidth`	`maximum harmonic degree`
`antipodal`	`f(v) = f(-v)`

Example

sF = S2FunHarmonic.quadrature(@(v) dot(v,vector3d.Z).^2);
sF = S2FunHarmonicSym(sF,crystalSymmetry('432'))

sF = S2FunHarmonicSym (432)
  bandwidth: 128
  antipodal: true

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/S2FunHarmonicSym.S2FunHarmonicSym.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.

S2FunHarmonicSym.S2FunHarmonicSym