Background
There has been a great deal of research in applying the principles of computer-aided geometric design (CAGD) to the problem of computer-aided motion design. In recent years, it has been well established that rational Bezier and rational B-spline based curve representation schemes can be combined with dual quaternion representation of spatial displacements to obtain rational Bezier and B-spline motions. Ge and Ravani, developed a new framework for geometric constructions of spatial motions by combining the concepts from kinematics and CAGD. Their work was built upon the seminal paper of Shoemake, in which he used the concept of a quaternion for rotation interpolation. A detailed list of references on this topic can be found in and.
Read more about this topic: Rational Motion
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