Research and Implementation of Angle Smooth Interpolation Algorithm Based on Double NURBS

For the processing of tiny linear segments in five-axis CNC, the acceleration and jerk at the speed transition point are discontinuous due to the change of the drive speed, resulting in a matte surface. A double-NURBS based tool vector interpolation algorithm is proposed. Through the spline curve fitting, the optimal control point is calculated, and the continuity of acceleration and jerk at the transformation point of the tool center point is improved, and the surface processing is smooth. The simulation shows that the algorithm can improve the smoothness of tool motion and improve the accuracy of mold and aerospace parts in five-axis machining.