Foundations of Geometric Algebra Computing by Dietmar Hildenbrand

Author:Dietmar Hildenbrand
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

Fig. 6.10Rotate_EXP_E3.clu

6.3.4 Rotation in 3D

The operator R = e  − ϕ/2 p describes a rotor in 3D with p being a normalized plane. The normal vector (or the dual) of this plane is used as the rotation axis.

In the following example Rotor3d.clu (Fig. 6.11) we rotate the vector a with the help of R a R:

Fig. 6.11Rotor3d.clu

DefVarsE3();

:Blue;

:a=e1+e2;

:Green;

axis = -3*e1 + 6*e2 - 2*e3;

:axis =axis/sqrt(axis.axis);

:p=*axis;

angle = Pi/3;

?R=exp(-0.5*angle*p);

:Red;

:rot=R*a* R;

The vector a is drawn in blue. The rotated vector c is calculated and drawn in red.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.