Reduced-knot NURBS representations of rational G1 composite Bézier curves

Abstract It is well known that a rational G1 composite Bezier curve of degree n can be represented as a nurbs curve with knots of multiplicity n . An algorithm is presented that reduces the degree of multiplicity of some knots to n-1 . This reduced-knot nurbs representation is based on the reparameterization of the Bezier curve segments.