准均匀B样条的插补算法及段间过渡研究

Study on a direct Interpolation algorithm based on the quasi uniform B-spline curve and transition between sections

主要研究了一种基于完整准均匀B样条的直接插补算法。首先用差分法预估曲线参数,并用自适应调整参数和步长的方法对预估的参数进行调整以满足步长恒定或弓高误差的要求。接着着重讨论了这种基于准均匀B样条曲线插补算法的参数方程的选择和段间过渡问题。因为B样条曲线是有多段曲线拟合而成的,插补计算时段间的平滑过渡是十分重要的。最后用程序实现了插补算法,并给出了程序的测试结果。

It＇s presents a direct interpolation algorithm on a whole quasi uniform B-Spline curve. First, a differential method is used to estimate the value of the parameter and then the value is adjusted to satisfy the requirement of stabilization of feed rate or the requirement of accuracy. Because of the importance of the smooth transition between sections in a whole B-Spline, it also discusses the choice of the parameter equations and the transition between sections of the curve. Last the paper gives the testing results of the algorithm.