S2FunHandle.S2FunHandle edit page

a class representing a function on the sphere by a function handle

Since nothing is precomputed, evaluation is exact but every operation that needs coefficients - convolution, quadrature, plotting a smooth surface - converts to S2FunHarmonic first.

Syntax

sF = S2FunHandle(fun)
sF = S2FunHandle(fun,'antipodal')
sF = S2FunHandle(fun,cs)

Input

`fun`	`@function_handle taking a vector3d`
`cs`	`symmetry or referenceFrame the function is expressed in`

Output

`sF`	`S2FunHandle`

Options

antipodal the function fulfills f(v) = f(-v)

Class Properties

`fun`	`@function_handle`
`antipodal`	`f(v) = f(-v)`
`bandwidth`	`bandwidth used when converting to S2FunHarmonic`
`isReal`	`the function takes only real values`

Example

sF = S2FunHandle(@(v) dot(v,vector3d.Z))

sF = S2FunHandle (y↓→x)

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/S2FunHandle.S2FunHandle.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.

S2FunHandle.S2FunHandle