compute an optimal kernel function for ODF estimation
Description
'UCV' minimises an unbiased estimate of the integrated squared error, 'conservative' errs towards wider kernels, both bounded below by a noise floor, see selectHalfwidth. 'KLCV', 'LSCV' and 'BCV' are Kullback Leibler, least squares and biased cross validation over ten candidates, 'RuleOfThumb' reads the nearest neighbour distances and 'magicRule' only the number of orientations.
Syntax
psi = calcKernel(ori)
psi = calcKernel(ori,'method','conservative')
psi = calcKernel(ori,'groups',grainId)
psi = calcKernel(ori,'method','ruleOfThumb')Input
| ori | orientation |
Options
| method | |'KLCV'| (default), |'UCV'| (default with |'groups'|), |'conservative'|, |'LSCV'|, |'BCV'|, |'RuleOfThumb'|, |'magicRule'| |
| weights | weights of the orientations |
| groups | ids of mutually dependent orientations, e.g. the grainId of EBSD pixels (UCV and conservative only) |
Output
| psi | SO3DeLaValleePoussinKernel |
See also
selectHalfwidth EBSD.calcKernel vector3d.calcKernel orientation.BCV orientation.KLCV orientation.LSCV
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/orientation.calcKernel.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.