A method of spatialTransformPoly.
the polynomial displacement best mapping the positions posA onto posB
Syntax
T = spatialTransformPoly.fit(posA, posB)
An affine map.
T = spatialTransformPoly.fit(posA, posB, degree=2)
A quadratic displacement.
T = spatialTransformPoly.fit(posA, posB, degree=2, weights=w, robust=False)
Weighted least squares.
Description
The displacement posB - posA is fitted over the basis [1 x y], or [1 x y x^2 xy y^2] for degree 2, by least squares, reweighted against outliers with Tukey’s bisquare. A point with a missing position or no weight is dropped; degree 1 needs at least three points, degree 2 six.
Input
posA |
vector3d, the positions in the first frame |
posB |
vector3d, where they went in the second, one for each |
Keywords
| keyword | default | description |
|---|---|---|
weights |
None |
array, the weight of every point pair |
degree |
1 |
1 or 2, the degree of the polynomial |
robust |
True |
reweight against outliers with Tukey’s bisquare |
maxIter |
50 |
the largest number of reweighting steps |
Output
T |
spatialTransformPoly, T * posA close to posB |
See also
spatialTransformProjective.fit, spatialTransformDrift.fit, spatialTransformTilt, transform
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/spatialTransformPoly.fit_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.