On geometric applications of quaternions

مطالعه کاربردهای آزولا study on applications of azolla

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ON QUATERNIONS By

ADDITIONAL APPLICATIONS OF THE THEORY OF ALGEBRAIC QUATERNIONS By

Applications of Dual Quaternions in Three Dimensional Transformation and Interpolation

Quaternions have long been integral to the field of computer graphics, due to their minimal and robust representation of rotations in three dimensional space. Dual quaternions represent a compact method of representing rigid body transformations (that is rotations and translations) with similar interpolation and combination properties. By comparing them to two other kinds of rigid transformatio...

Involution Matrices of Real Quaternions

An involution or anti-involution is a self-inverse linear mapping. In this paper, we will present two real quaternion matrices, one corresponding to a real quaternion involution and one corresponding to a real quaternion anti-involution. Moreover, properties and geometrical meanings of these matrices will be given as reflections in R^3.