S2FunGrid edit page

bilinear interpolation on a regular grid in polar coordinates

Unlike S2FunTri, which triangulates arbitrary nodes, this one assumes a regular theta over rho grid, which makes evaluation a direct index computation rather than a search.

Syntax

sF = S2FunGrid(values)
sF = S2FunGrid(fun)

Input

values nTheta × nRho matrix of function values
fun @function_handle, sampled on a 1 degree grid

Output

sF S2FunGrid

Class Properties

values the function values
gSize size of the grid
s symmetry the grid refers to
antipodal f(v) = f(-v)
isReal the function takes only real values

See also

S2Fun S2FunTri S2FunHarmonic

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/S2FunGrid.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.