ABSTRACT

O ur aim in this chapter is to master the theory underpinning B-spline primitives, the dominant class of primitives used in freeform design nowadays. As in the preceding chapter on Be´zier theory, we’ll

restrict ourselves here to the polynomial version, reserving the more general rational class of NURBS (Non-Uniform Rational B-Spline) primitives for Chapter 18, as an application of projective spaces, which are the natural setting for these primitives.