关于NURBS曲线插补算法的研究与改进

Research and Improvemention Interpolation Algorithm for NURBS Curve

在分析NURBS曲线现有插补算法的基础上,着重研究了三次NURBS曲线实时插补技术。针对部分算法的不完整或效率低,提出了一种简单快捷的插补算法。采用NURBS曲线的矩阵表达式,将整个插补过程分解为插补预处理和实时插补。在插补预处理中完成了大量的计算,预处理的计算结果直接应用于实时插补,使插补算法满足了NURBS曲线插补的实时性要求,再辅以必要的轮廓误差控制,实现了加工速度自适应于加工路径的NURBS曲线直接插补。

Based on analyzing the NURBS curve interpolation interpolation technology is researched emphatically. In view of the algorithm partial , the three NURBS curve real-time algorithms which is incomplete and the low efficiency, a simple and quick interpolation algorithm is proposed. Using the matrix representation of NURBS curve, the whole interpolation process is divided into appropriate pretreatment and real-time interpolation. In the appropriate pretreatment, the system will achieve a large amount of calculation, and the result of pretreatment will directly apply the real-time interpolation, which makes interpolation algorithm fulfill the real-time of NURBS curve＇s interpolation. And the necessary contour error control is given, the NURBS curve direet interpolation achieved the machining velocity adapting the tool path .