Degree Elevation of B-spline Curves and Its Matrix Form

Abstract

An algorithmic approach to degree elevation of B--spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The elevation method is introduced that consists of the following steps: (a) decompose the B--spline curveinto piecewise B'ezier curves, (b) degree elevate eachB'ezier piece, and (c) compose the piecewise B'ezier curves into B--spline curve. Key words: Degree Elevation, B--spline, Blossoming