Interpolating Rational Bezier Spline Curves with Local Shape Control

The paper presents a technique for construction of Cn interpolating rational Bйzier spline curves by means of blending rational quadric Bйzier curves. A class of polynomials which satisfy special boundary conditions is used for blending. Properties of the polynomials are considered. The constructed spline curves have local shape control that make them useful in such geometric applications as real-time trajectory generation and fast curve sketching