Dual-Quasi Elliptic Planar Motion

Abstract

Dual-quaternions are an elegant and useful mathematical tools for representing rigid-body (screw) motions in three-dimensional Euclidean space R 3 . The aim of this paper is to consider the algebra of dual semi-quaternions with their basic properties and generalize the results of the Euclidean-planar motion given by Blaschke and Grünwald to dual planar motion.