SO3FunRBF.SO3FunRBF edit page

a class representing radial ODFs by an SO3Kernel function and center orientations

Syntax

SO3F = SO3FunRBF(center,psi,weights,c0)
SO3F = SO3FunRBF(F)
SO3F = SO3FunRBF(F,'kernel',psi,__) % See SO3FunRBF.approximate for options list
SO3F = SO3FunRBF(F,'harmonic',__) % See SO3FunRBF.approximate for option list

Input

center orientation
psi SO3Kernel
weights double
c0 double
F SO3Fun

Output

SO3F SO3FunRBF

Example

ori = orientation.rand(10);
w = rand(10,1); w=w./sum(w);
psi = SO3DeLaValleePoussinKernel(10);
SO3F = SO3FunRBF(ori,psi,w)
SO3F = SO3FunRBF (1 → y↓→x)
 
  multimodal components
  kernel: de la Vallee Poussin, halfwidth 30°
  center: 10 orientations
 
  Bunge Euler angles in degree
     phi1       Phi      phi2    weight
  156.958   75.9796   181.889 0.0950434
  9.33344   86.6587   23.5031 0.0409895
  197.878   136.957   154.124  0.130116
  156.716   88.4439   34.7511 0.0981484
  151.332   129.133   45.7776  0.102652
  118.921    55.203   214.828 0.0786075
  73.6735   44.9316   81.3643  0.161248
  222.938   90.6604   38.5004  0.117843
  107.876   46.1222   79.3102 0.0329753
  96.0578   147.215   125.937  0.142376

See also

SO3FunRBF.approximate

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/SO3FunRBF.SO3FunRBF.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.