Research on NURBS curve interpolation algorithm based on moving-average of position invariance

Due to solve the shortcomings of the speed and position altering of the interpolation points near the extreme point and the junction point by filtering technology, the inference of moving-average of the position invariance was derived based on moving-average technology. By means of this inference, the shortcomings can be solved. And the method was scalable. It can achieve the acceleration of continuous, and jerk very easily and displacement for time of more-order differentiability of continuous. Thus the proposed algorithm can reduce the machining vibration. Finally, the implementation and experimental results were given in detail. The experimental results show the effectiveness and feasibility.