calcParent edit page

parent orientations from child orientations and an orientation relationship

Description

The use case is chosen by the number of columns of childOri:

* a column of child orientations together with a parent orientation
parentRef: for every child the parent variant closest to parentRef
* a column of child orientations alone: one common parent of all children,
fitted to the children weighted by 'weights'
* two columns, the child orientations on both sides of a grain boundary: the
pair of parent variants that agree best
* three columns, the child orientations at a triple point: the triple of
parent variants that agree best

Syntax

[parentOri, fit] = calcParent(childOri,parentRef,p2c)
[parentOri, fit] = calcParent(childOri,parentRef,p2c,'numFit',2)

The parent orientation closest to parentRef for every child.

[parentOri, fit] = calcParent(childOri,p2c)
[parentOri, fit] = calcParent(childOri,p2c,'weights',w)

One common parent of all child orientations.

[parentOri, fit] = calcParent([childOri1,childOri2],p2c)
[parentOri, fit] = calcParent([childOri1,childOri2,childOri3],p2c)

The best fitting parents of pairs and triples of child orientations.

[parentId, fit] = calcParent(childOri,parentRef,p2c,'id')

The variant ids instead of the parent orientations.

Input

childOri child orientation
parentRef parent orientation
p2c parent to child misorientation, or all its variants

Options

numFit return the fits up to the n-th best
weights weights of the child orientations, for one common parent
threshold largest misfit of two variants at a triple point (default 10 degree)

Flags

id return the parent variant id instead of the parent orientation

Output

parentOri parent orientation
parentId parent variant id
fit misfit angle to the given parent to child misorientation

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/calcParent.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.