spatialTransformComposite edit page

several spatial transforms applied one after another

What mtimes returns when two transforms cannot be absorbed into one. It is also how a hop fitted in several stages stays a single transform while keeping the stages available for inspection - a tilt is fitted as a projective, then a polynomial on the residual, but it is one distortion.

Stages are held in the order they are applied, so stages(1) acts first. A composite given a composite flattens it, so a chain never nests.

Written out by hand this is T1 + T2 - the constructor is what + calls, and is spelled out only where the stages arrive as an array or a comma list rather than as two names.

Syntax

T = spatialTransformComposite(T1,T2)   % apply T1, then T2 - i.e. T1+T2
T = spatialTransformComposite(TArray)

Input

T1, T2 spatialTransform, in the order they are applied
TArray spatialTransform array, likewise

Output

T spatialTransformComposite

Class Properties

stages spatialTransform array, stages(1) applied first

See also

spatialTransform spatialTransform spatialTransform

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/spatialTransformComposite.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.