Design of motion along parameterized curves using B-splines
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 Cp 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 E3.
b-splines motion design orientation design