A method of S1Kernel.
the Fourier coefficients of the kernel, degrees -L .. L, to its bandwidth by default; MATLAB’s calcFourier
Syntax
fhat = psi.calcFourier()
Up to the bandwidth of the kernel, psi.fhat.
fhat = psi.calcFourier(16)
The degrees -16 .. 16.
Description
The kernel is the even series psi(x) = sum_k c_k e^{ikx}, c_-k = c_k; the coefficients are returned two sided, beyond the bandwidth as zeros.
Input
psi |
S1Kernel |
Keywords
| keyword | default | description |
|---|---|---|
L |
None |
the largest degree, the bandwidth of the kernel when not given |
Output
fhat |
ndarray of 2L + 1 coefficients |
See also
S1Kernel.grad, SO3Kernel.calcFourier
source
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/S1Kernel.calcFourier_py.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.