a transformation of scan positions in the xy plane

Syntax

pos2 = T * pos
pos2 = T(pos)
u = T.displacement(pos)
Ti = T.inv()

Description

Transforms map vector3d positions to positions of the same shape. The supplied transform classes change x and y and preserve z and the coordinate frame. Positions and displacements use the same spatial units as the input data.

Composition follows matrix order: T1 * T2 applies T2 first, then T1. The expression T1 + T2 builds a sequence applying T1 first, then T2. Transforming EBSD data with transform(ebsd, T) also updates its spatial representation.

This is the base class. Construct one of the affine, projective, polynomial, drift or interpolated-field subclasses, or wrap a callable with spatialTransformHandle.

See also

spatialTransformShift, spatialTransformProjective, spatialTransformPoly, spatialTransformDrift, spatialTransformField, spatialTransformComposite

Members

absorb one matrix for two transforms that each have one: affine where the product keeps the last row, projective otherwise
char the name and the parameters of the transform as one line of text
discretize the transform as a field of displacements at the given points
displacement the displacement of the positions, T * pos - pos
eval the positions moved by the transform, T * pos
fitOptions the keywords a refit of this transform takes to keep its kind, as a dict
inv the inverse transform
isid whether the transform is the identity
matrix the 3 x 3 homogeneous matrix of the transform, None where it has none
norm the length of the displacement at every position
paramChar the parameters of the transform as a line of text for its display
shortChar the short name of the transform in its display, the class name without spatialTransform
stageList the stages the transform is applied in, a list

MATLAB’s spatialTransform_index

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/spatialTransform_index_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.