Interpolating Bézier spline curves with local control

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