基于曲率参数的NURBS曲线插值

摘要

Presents a new method of constructing boundary conditions for NURBS interpolotion, which makes it unnecessary to know the deriratives of curve ends, and solves the problem of zero curvature at curve ends, and enables designers to control the shape of the two end segments of curve easily and freely by simply adjusting the curvature coefficients and discusses the influences of curvature coeffients on the shape of the end segments of curve.%提出一种新的用于NURBS曲线插值的构造边界条件的方法.该方法不需要已知曲线端点的切矢，并且解决了端点曲率为零的问题;它使得设计者可以通过简单地调整首末端点曲率参数便可以随意地且很容易地控制曲线首末两段曲线的形状.最后还讨论了曲率参数的取值对曲线端部形状的影响.