spatialTransformTilt edit page

specimen tilt, fitted in stages against a re-measured residual

A tilt is a projective distortion, but one pass of correlation cannot resolve it: how well two tiles match depends on how well they already overlap, so a large distortion has to be taken out before the structure underneath it becomes visible. The projective stage removes the bulk, the correlation is run again, and a polynomial takes what is left.

The class owns WHAT its stages are and how each is fitted. It does not own the loop - re-measuring means going back to the images, and geometry must not depend on registration code. The caller drives:

T = spatialTransformTilt;
for s = 1:numel(T.stages)
  [u,peak,pos] = xcfShift(imRef,imTest);
  T = fitStage(T,s,pos,pos+u,'weights',peak);
  imTest = interp(map,eval(inv(T),targetPos));
end

An unfitted stage is the identity, so a partly fitted tilt evaluates as far as it has got.

Syntax

T = spatialTransformTilt
T = fitStage(T,s,posA,posB,'weights',w)

Input

s which stage to fit
posA, posB vector3d, the residual measured after the previous stages

Output

T spatialTransformTilt

Class Properties

stages spatialTransform array, stages(1) applied first

See also

spatialTransform spatialTransformProjective spatialTransformPoly

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/spatialTransformTilt.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.