一种二次有理Bézier曲线延拓的有效算法

An efficient extending algorithm for quadric rational Bézier curve

给出了一种平面二次有理Bézier曲线光顺延拓的有效算法.该法首先利用拼接条件初步确定了延拓曲线的控制顶点,然后以延拓曲线的应变能作为光顺准则,通过极小化应变能,最终求得延拓曲线的权因子及控制顶点,从而获得与原曲线C1拼接的光顺延拓曲线.实例表明,该算法使用效果较好.

An efficient fairing extending algorithm for planar quadric rational Bézier curve was presented in this paper.Firstly,the control points of extending curve were determined by continuous condition.Then,the expression of strain energy of the curve is used to set up the objective function,the weight and the control points of the extending curve were determined by minimizing the objective function.Consequently,the fairing extending curve was obtained,and the extending curve is C1 continuous with the original cu...