Compute the adjoint SO(3)-Fourier/Wigner transform of given evaluations on specific nodes.
This method uses an adjoint trivariate nfft/fft and an adjoint coefficient transform which is based on a representation property of the Wigner-D functions. Hence it do not use the NFSOFT (which includes a fast polynom transform) as in the older method SO3FunHarmonic.adjointNFSOFT.
Syntax
SO3F = SO3FunHarmonic.adjoint(rot,values)
SO3F = SO3FunHarmonic.adjoint(rot,values,'bandwidth',32,'weights',w)Input
| rot | quadratureSO3Grid, rotation, orientation, SO3Grid |
| values | double |
Output
| SO3F | SO3FunHarmonic |
Options
| bandwidth | maximal harmonic degree (default: 64) |
| weights | quadrature weights |
| cutOffParameter | set parameter precision parameter m for nfft |
| oversampling | NFFT oversampling factor sigma (default: 2) |
Flags
| 'nfsoft' | use (mostly slower) NFSOFT algorithm |
| 'directComputation' | direct evaluation of Fourier sums (no nfft) |
| 'gridded' | round the rotations onto a regular Clenshaw Curtis quadrature grid and use the plain FFT instead of the NFFT (fast approximation for many rotations) |
| 'createPlan' | NFFT3-Flags |
| 'keepPlan' | NFFT3-Flags |
| 'deletePlan' | NFFT3-Flags |
See also
SO3FunHarmonic.quadrature SO3FunHarmonic.adjointNFSOFT SO3FunHarmonic.approximate SO3FunHarmonic.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/SO3FunHarmonic.adjoint.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.