S2FunTri.S2FunTri edit page

a class representing a function on the sphere by values at grid points

The function is given by its values at the vertices of a spherical triangulation and interpolated linearly in between. This is the representation used for measured data, e.g. a pole figure.

Syntax

sF = S2FunTri(nodes,values)
sF = S2FunTri(nodes,values,s)
sF = S2FunTri(fun)

Input

nodes vector3d or S2Triangulation
values function value at each node
s symmetry the nodes are symmetrised with
fun S2Fun or @function_handle, sampled on an equispaced grid

Output

sF S2FunTri

Class Properties

tri S2Triangulation
vertices vector3d, the nodes of the triangulation
values function value at each node
antipodal f(v) = f(-v)
isReal the function takes only real values

Example

v = equispacedS2Grid('resolution',5*degree);
sF = S2FunTri(v,dot(v,vector3d.Z))
sF = S2FunTri (y↓→x)
  vertices: 1652 x 1

See also

S2Fun S2FunHarmonic S2Triangulation

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/S2FunTri.S2FunTri.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.