基于加速度双曲线的五轴联动NURBS曲线插补算法

Interpolation algorithm of five-axis linkage NURBS curve base on hyperbola of acceleration

针对S型加减速和双曲线加减速都无法实现加加速度的连续变化问题,提出双曲线用于图像的解决办法。指出该算法是三次样条曲线的特例。提出"如果某种加减速方法无法解决高阶连续问题,不妨把该方法用于更高一阶图像"的结论。论证了节点矢量预估计算公式中V值的参数应为t。通过计算比较直接插补和预处理再插补的计算量,论证了后者能有效减小计算复杂度。

Aiming at the question that, S-curve A cceleration/Deceleration and Hyperbolic A cceleration/Deceleration cannot realize the continued change of jerk,presents a method that Hyperbola was adopted in the Graphics to solve the problem It points out that this method is a partieular case of cubic sp- line curves ,and concludes that ＂if some A ceeleration/Deceleration method cannot solve high-end continuity, it can be used for higher-end Graphics.＂It also demonstrates that the parameter of V value in node vector prediction formulation should be t. By comparing the calculation between direct interpolation and pretreatment before interpolation, it demonstrates that the latter can effectively reduce the calculation complexity.