ABSTRACT

The concept of a polar form or blossom, while known for quite some time in an algebraic context, has been introduced into the spline theory by de Casteljau and independently by Ramshaw (see [6], for a comprehensive introduction). Polar forms have proven to be a convenient mathematical tool for describing (piecewise) polynomial functions and for analyzing various spline algorithms such as recurrence relations and knot insertion [3,6,8].