1204.2476 (Mehdi Jafari et al.)

Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)    [PDF]

Mehdi Jafari, Yusuf Yayli

The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the rotation matrix.

View original: http://arxiv.org/abs/1204.2476