a projective transform of the plane, a homography given by a 3 x 3 matrix normalised to H[2, 2] = 1; straight lines stay straight

Syntax

T = spatialTransformProjective(H)
T = spatialTransformProjective.byTilt(theta, wd, centre)
T = spatialTransformProjective.fit(posA, posB, weights=w)

Input

H 3-by-3 homogeneous projective matrix, normalised by H[2,2]; None gives identity

Members

byTilt the specimen tilted by theta about an axis along x through centre, seen from the working distance wd: the far side shrinks and straight lines stay straight
eval the positions moved by the homography
fit the homography best mapping the positions posA onto posB, by the direct linear transform
inv the homography of the inverse matrix
isid whether the homography is the identity
matrix the 3 x 3 homography
paramChar the perspective terms of the homography as a line of text

Used on

EBSDSpatialTransform

MATLAB’s spatialTransformProjective

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/spatialTransformProjective_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.