文章在满足G1Hermite插值条件的三次有理PH曲线的基础上,通过简单的方法构造了一个满足G2Hermite插值条件的三次有理Bezier曲线。该方法只需根据始末端点的曲率来确定曲线的权重进而得到插值曲线,具有很好的几何意义,数值实例表明了该算法的有效性。
Based on the G1Hermite interpolation by a rational cubic Pythagorean-hodograph(PH) curve, a sim- ple method for G2Hermite interpolation by a rational cubic Bezier curve is presented, which has a well-under- stood geometrical meaning. In this method the weights of the curve are acquired by the curvatures at both the starting points and end points. The effectiveness of the algorithm is verified by numerical examples.