A study on adaptive NURBS interpolation points calculation with jerk-limited acceleration

Feedrate adaptive interpolation algorithm for NURBS curve effectively reduces the chord error. In order to improve the machining quality and reduce the impact to the machining tools caused by the change of feedrate, it needs to control the fluctuation of the acceleration and jerk. In order to efficient and accurate calculate the interpolation points during the process of interpolation, through the analysis of the computation structure for B-spline, an algorithm and its calculation complexity is given for NURBS interpolation based on the sharing of the values of basis functions. Simulation results show that the algorithm effectively controls the fluctuation of the acceleration and jerk, improves the efficiency of interpolation calculation, and shortens the interpolation time.