A method of vector3d.

the axis best orthogonal to a list of directions, the smallest principal axis

Syntax

n = v.perp()

E.g. the zone axis of plane normals.

n = v.perp(robust=True)

Outliers left out.

Description

The eigenvector of the smallest eigenvalue of sum v v^T; NaN vectors are left out. A robust fit drops the 20 percent of the directions furthest from orthogonal and fits again, when more than four are given. The result is an axis in the frame of v, in the other display style, a zone axis of planes.

Input

v vector3d or Miller

Keywords

keyword default description
robust False fit again without the directions furthest from orthogonal

Output

n vector3d or Miller, antipodal

See also

vector3d.eig, vector3d.cross

MATLAB’s vector3d.perp

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/vector3d.perp_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.