S2FunHarmonic.regularize edit page

computes a regularization

Syntax

sF = S2FunHarmonic.regularize(S2Grid,f,lambda)
sF = S2FunHarmonic.regularize(S2Grid,f,lambda,'bandwidth',
     bandwidth,'weights',W,'fourier_weights',What)

Input

S2Grid grid on the sphere
f function values on the grid (may be multidimensional)
lambda parameter for regularization

Output

sF S2FunHarmonic

Options

bandwidth maximum harmonic degree
W weight w_n for the node nodes (default: Voronoi weights)
What weight what_{m,l} for the Fourier space (default Sobolev weights for s = 2)

See also

S2FunHarmonic.interpolate

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/S2FunHarmonic.regularize.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.