S1FunHarmonic.interpolate edit page

Approximate an S1FunHarmonic by given function values at given nodes w.r.t. some noise.

Syntax

S1F = S1FunHarmonic.interpolate(nodes,values,'weights',w)

Input

`values`	`double (first dimension has to be the evaluations)`
`nodes`	`double`
`w`	`weights`

Output

S1F S1FunHarmonic

Options

`bandwidth`	`maximal harmonic degree (Be careful by setting the bandwidth by yourself, since it may yields undersampling)`
`weights`	`corresponding to the nodes (default is 'equal': all nodes are weighted similar; 'Voronoi': Voronoi volumes; numeric array W: specific weights for every node)`
`tol`	`tolerance as termination condition for lsqr`
`maxit`	`maximum number of iterations as termination condition for lsqr`
`regularization`	`the energy functional of the lsqr solver is regularized by the Sobolev norm of SO3F with regularization parameter lambda (default: 1e-4)(0: no regularization)`
`SobolevIndex`	`for regularization (default = 2)`

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/S1FunHarmonic.interpolate.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.