Innovation Research on Taylor's Iterative Interpolation Algorithm for NURBS Curve and Simulation

摘要

In order to solve the problems of Taylor's iterative interpolation method of NURBS curve, Such as interpolation time is bigger, interpolation precision are not too higher, and NURBS curve chord error are not easy changed and so on. This paper proposed a Taylor's iterative interpolation algorithm for NURBS curve. Firstly, the two-order Taylor's expansion is applied in the NURBS curve separately with unknown NURBS curve parameter. Then, we can use Taylor's iterative that calculate (x_i, y_i, z_i). Then, the interpolation of NURBS curve should be finished. Actually, Taylor's iterative interpolation algorithm for NURBS curve reduced interpolation time and NURBS curve chord error. Finally, simulation results and experiments are conducted to verify the feasibility and applicability of Taylor's iterative interpolation method of NURBS curve. The simulation results show that the algorithm is correct; it is consistent with a NURBS curve interpolation requirements.