A novel on Newton-Rapson iterative interpolation algorithm for NURBS curve

摘要

Linear or cicular interpolator are undersirable for high-speed, precision and advanced CNC machining tools of 2D or 3D surfaces for the following resons: interpolation time bigger, calculation more complicated, and curve chord are changed. In the papers, the Newton-Rapson iterative interpolation algorithm for NURBS curve is introduced. We can use Newton-Rapson iterative that calculate (x_i, y_i, z_i). Simulation results show that the proposed NURBS curve interpolator meet the high-speed and high-accuracy interpolation requirements of CNC systems. The interpolation of NURBS curve should be finished. The simulation results show that the algorithm is correct; it is consistent with a NURBS curve interpolation requirements.