apply an orientation Radon transform or a spherical Funk transform.
Syntax
poleDensity = radon(odf, h)
Description
For an MTEX object, radon(x, …) calls x.radon(…). 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
radon(x, *args, **kwargs)
Methods it calls
| fibreVonMisesFisherKernel | the Radon transform: the kernel on the sphere of the same coefficients, in closed form |
| S2FunHarmonic | the Funk transform, the mean over the great circle perpendicular to every direction |
| S2Kernel | the Funk transform: A_n P_n(0) |
| SO3AbelPoissonKernel | the Radon transform: the kernel on the sphere of the same coefficients, in closed form |
| SO3BumpKernel | the Radon transform: the kernel on the sphere of the same coefficients, in closed form |
| SO3DeLaValleePoussinKernel | the Radon transform: the de la Vallee Poussin kernel on the sphere of the same kappa |
| SO3DirichletKernel | the Radon transform: the Dirichlet kernel on the sphere of the same degree |
| SO3FunBingham | the Radon transform of a Bingham distribution: its pole figure, in closed form, its inverse pole figure, or their values |
| SO3FunCBF | the Radon transform of a fibre ODF: the pole figure of a crystal direction, the inverse pole figure of a specimen direction, or the pole density of both |
| SO3FunComposition | the Radon transform of a function on SO(3): its pole figures, inverse pole figures or the values of either, through the harmonic form of the bandwidth |
| SO3FunHarmonic | the Radon transform of a function on SO(3): its pole figures, inverse pole figures, or their values (MATLAB’s radon, calcPDF and calcIPDF) |
| SO3FunRBF | the Radon transform of a kernel sum: the pole figure of a crystal direction, the inverse pole figure of a specimen direction, or the pole density of both |
| SO3Kernel | the Radon transform is the S2 kernel with the same coefficients |
| SO3SquareSingularityKernel | the Radon transform: the kernel on the sphere of the same coefficients, in closed form |
| SO3vonMisesFisherKernel | the Radon transform: the kernel on the sphere of the same coefficients, in closed form |
Used on
ODFInversePoleFigure, ODFPoleFigure, S2FunRadon
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/radon_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.