Design of motion along parameterized curves using B-splines

摘要

The paper presents a method for design of motion along parameterized curves using B-splines. The presented approach is based on local parameterizations of orientations with respect to the Frenet frame moving along the parameterized curve. Conditions, which ensure C{sup}p continuity of the designed motion, are established. It is shown that the designed motion is invariant under transition between orthonormal reference frames of the Euclidean affine space E{sup}3.