Weights Estimation for NURBS Curves Based on Fairing Optimization

This paper proposes an approach of constructing planar piecewise Bézier curve of 4th or 5th degree with all edges tangent to a given control polygon and the curve segments are joined together with C² and C³ continuity．The segmented Bézier curves are all shape-preserving to their tangent polygon．Finally，a few numerical examples illustrate that the method given in this paper is effective for CAGD．