VISUALIZATION OF MOVING-OBJECTS USING DUAL QUATERNION CURVES

The interpolation of some positions (= point + orientation) of a movin g object is examined with help of dual quaternion curves. In order to apply the powerful methods of computer-aided geometric design, an inte rpolating motion whose trajectories are rational Bezier curves is cons tructed. The interpolation problem is discussed from a mechanical and a geometrical viewpoint. A representation formula for rational motions of fixed order is presented. Finally, the construction of rational sp line motions is outlined. Dual quaternions prove to be very useful in computer graphics.