rotation.interp edit page

compute an ODF by approximating orientations at some function values (interpolating the orientations with weights) It is also possible to interpolate a vector field.

For more information on the interpolation method and possible flags, see in the documention: Approximation of discrete data.

Syntax

SO3F = interp(ori,values)
SO3F = interp(ori,values,'halfwidth',1*degree,'resolution',7*degree,'tol',1e-3,'maxit',100,'density')
SO3F = interp(ori,values,'harmonic')
SO3F = interp(ori,values,'harmonic','bandwidth',48,'weights',W,'regularization',1e-4,'SobolevIndex',2,'tol',1e-6,'maxit',200)
SO3F = interp(ori,values,'bingham')

Input

ori orientation
values double, vector3d

Output

SO3F SO3Fun, SO3VectorFieldHarmonic

Flags

('harmonic'|'bingham'|'RBF') interpolation method (default: 'RBF')

See also

SO3FunRBF.interpolate SO3FunHarmonic.interpolate SO3FunBingham.interpolate SO3VectorFieldHarmonic.interpolate

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/rotation.interp.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.