the plane of a set of positions with an orthonormal frame: the normal fitted and pointing up, e1 the given direction projected into the plane, the origin the specimen origin’s foot on it

Syntax

plane = mapPlane(pos)
plane.to2d(xyz), plane.from2d(xy)

Input

pts Cartesian positions as an (n, 3) array, defining the fitted map plane
e1 preferred first in-plane direction, projected onto the plane; default x direction

Members

dtype the floating point type the plane computes in
from2d the positions of plane coordinates of shape (…, 2)
normal the unit normal of the plane, e1 x e2
to2d the coordinates in the plane of positions of shape (…, 3), as (…, 2)
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/mapPlane_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.