A method of rotation.

the smallest rotation taking u1 to v1, or the one taking u1 to v1 and u2 to v2

Syntax

rot = rotation.map(u1, v1)
The smallest rotation with rot * u1   v1. 
rot = rotation.map(u1, v1, u2, v2)

U1 onto v1 and u2 onto v2.

Description

With two pairs the angle between u1 and u2 must be that between v1 and v2, up to 1e-3, and u1, u2 must not be colinear; an error is raised otherwise. The lengths of the vectors do not matter.

Input

u1, v1 vector3d
u2, v2 vector3d, a second pair

Output

rot rotation

See also

rotation.fit, rotation.byAxisAngle, rotation.byMatrix

Signature

rotation.map(u1, v1, u2=None, v2=None)

MATLAB’s rotation.map

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/rotation.map_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.