return the angular halfwidth of a kernel in radians.
Syntax
h = halfwidth(psi)
Description
For an MTEX object, halfwidth(x, …) calls x.halfwidth(…). Additional positional and keyword arguments are passed to that method unchanged. Its documentation specifies the accepted inputs, units, symmetry handling and optional outputs. Consult the corresponding method for the behaviour of a particular object type.
Signature
halfwidth(x, *args, **kwargs)
Methods it calls
| fibreVonMisesFisherKernel | the halfwidth in closed form, acos(1 - log(2) / kappa) |
| S1BumpKernel | the halfwidth, the half length delta of the interval |
| S1GaussKernel | the halfwidth in closed form, sigma sqrt(2 log 2) |
| S2BumpKernel | the halfwidth, the radius delta of the cap |
| S2DeLaValleePoussinKernel | the halfwidth in closed form, acos(2 * 2^(-1 / kappa) - 1) |
| SO3BumpKernel | the halfwidth, the radius delta of the bump |
| SO3DeLaValleePoussinKernel | the halfwidth in closed form, 2 acos(2^(-1 / (2 kappa))) |
| SO3vonMisesFisherKernel | the halfwidth in closed form, acos(1 - log(2) / kappa) |
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/halfwidth_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.