Interpolating Bezier spline curves with local control

Abstract

The paper presents a technique for construction of interpolating spline curves in linear spaces by means of blending parametric curves. A class of polynomi- als which satisfy special boundary conditions is used for blending. Properties of the polynomials are stated. An application of the technique to construction of interpolat- ing B´ezier spline curves with local control is considered. The presented interpolating Bezier spline curves can be used in on-line geometric applications or for fast sketching and prototyping of spline curves in geometric design.