SO3Kernel.RK_symmetrised edit page

sum Radon trasformed kernel

Description

formulae

\[ f_j = \sum_i c_i \mathcal{R}K(g_i,h,r_j)\]

\[ \mathcal{R}K((h,r);g) = \sum_l A_l P_l(gh, r)\]

Syntax

f = RK_symmetrised(psi,g,h,r,c,CS,SS,varargin) -

Input

psi SO3Kernel
g quaternion(s)
h list of crystal directions
r list of ein specimen directions
c coefficients
CS,SS crystal, specimen symmetry

Output

matrix 1. dim --> g, 2.dim --> r

Options

antipodal antipodal Radon transform \(P(h,r) = (\mathcal{R}f(h,r) + \mathcal{R}f(--h,r))/2\)

See also

SO3Kernel.SO3Kernel SO3Kernel.SO3Kernel

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/SO3Kernel.RK_symmetrised.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.