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

Syntax

T = spatialTransformProjective.byTilt(70*degree, wd)

About the x axis.

T = spatialTransformProjective.byTilt(70*degree, wd, centre)

Through a point left in place.

Description

cos(theta) foreshortens across the tilt axis and wd sets how much the scale varies over the frame: as wd grows the perspective vanishes and only the foreshortening is left. This is a tilt one knows; one that was measured is fitted by spatialTransformTilt.

Input

`theta`	the tilt angle about the x axis
`wd`	the working distance the surface is seen from, positive
`centre`	vector3d, the point the tilt leaves in place, by default the origin

Output

`T`	spatialTransformProjective

Signature

spatialTransformProjective.byTilt(theta, wd, centre=None)

Used on

EBSDGrid

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.byTilt_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.

spatialTransformProjective.byTilt