A NOTE ON RELATION BETWEEN POINT-LINE DISPLACEMENT AND EQUIFORM TRANSFORMATION

Authors : Esra B Koç Öztürk, Ufuk Öztürk, Yusuf Yaylı

Pages : 53-59

View : 23 | Download : 11

Publication Date : 2015-05-01

Article Type : Research Paper

Abstract :− The present paper studies the relation between the point-line displacement and theequiform transformation in Euclidean 3-space R3. A point-line can be transformed into another pointline via an equiform transformation. Observing that a point-line is nothing but a line element whenits reference point is the origin of the coordinate system, we show that this transformation can also beperformed by using dual quaternions
Keywords : Line geometry, Line element, Dual quaternion, Equiform kinematics