a scan distortion interpolated from measured displacement vectors

Syntax

T = spatialTransformField(pos, u)
T = spatialTransformField.fit(posA, posB)
moved = T * query

Description

Displacements are interpolated linearly over a triangulation of the sample xy positions, with coordinates rescaled for interpolation. Queries outside the convex hull use the nearest sample’s displacement. The interpolated x and y displacement is added to the query; z is preserved. This differs from MATLAB’s natural-neighbour interpolation and linear extrapolation. With no samples the transform is the identity.

Input

pos vector3d sample positions
u vector3d displacements, one per sample position

Output

T spatialTransformField

See also

spatialTransformField.fit, spatialTransformDrift, spatialTransformInverse

Members

eval linear over the triangulation of the points in coordinates of unit spread, the nearest point beyond it
fit the field of the displacements of the point pairs, at the points of frame A
inv the inverse by fixed point iteration
isid whether the field has no points or displaces by nothing
paramChar the number of points and the largest displacement as a line of text

MATLAB’s spatialTransformField_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/spatialTransformField_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.