the parent orientations of child orientations under a parent to child orientation relationship, with their fit

Syntax

parentOri, fit = calcParent(childOri, p2c)

The parent of the children of one grain.

parentOri, fit = calcParent(childOri, p2c, weights=w)

The children weighted.

parentOri, fit = calcParent(childOri, parentOri, p2c)

The parent variant of every child.

parentId, fit = calcParent(childOri, parentOri, p2c, id=True)

Its id instead.

parentId, fit = calcParent(childOri, parentOri, p2c, numFit=2, id=True)

The two best.

parentOri, fit = calcParent(childPairs, p2c)

The variant pair of every boundary.

parentOri, fit = calcParent(childTriples, p2c)

The variant triple of every triple point.

Description

The form of the input decides what is reconstructed:

many children of one grain: every child proposes its parent variants, and the proposal the others agree with best is refined as their weighted mean.
children with a parent orientation, one or one per child: every child takes the parent variant nearest that parent.
pairs or triples of children, an (n, 2) or (n, 3) array as a boundary or a triple point gives them: the parent variants that agree best on one parent, the fit their disorientation.

numFit returns the best few fits instead of one, along a last axis. With id=True the one based ids of the parent variants come back, childOri * p2c.variants(parent=True)[id - 1] being the parent.

Input

`childOri`	orientation of the child phase; (n, 2) pairs or (n, 3) triples of them
`parentOri`	orientation of the parent phase, one or one per child
`p2c`	orientation, the parent to child orientation relationship, or its inverse

Keywords

keyword	default	description
`numFit`	`1`	the number of best fits to return
`id`	`False`	return the parent variant ids instead of the orientations
`weights`	`None`	the weights of the children of one grain in the mean
`threshold`	`10*degree`	the largest disagreement of the first pair of a triple that is considered

Output

`parentOri`	orientation of the parent phase
`parentId`	the one based parent variant ids
`fit`	the disorientation angle to the relationship, in radians

Used on

LowLevelParentGrainReconstruction, MaParentGrainReconstructionAdvanced

MATLAB’s calcParent

source

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_py.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.

calcParent