Research of NURBS curve interpolation algorithm

This paper presents a real-time interpolation algorithm of three NURBS curve, which is based on simple NURBS curve interpolation algorithm. The paper proposes a simple and fast interpolation algorithm. Using the matrix representation of the NURBS curve, the whole interpolation process is divided into interpolated pretreatment and real-time interpolation. In the interpolated pretreatment, the system will achieve a large amount of calculation and the result of pretreatment directly apply to the real-time interpolation, which makes interpolation algorithm fulfill the real-time of NURBS curve´s interpolation. Besides, the necessary contour error control is given. The NURBS curve interpolation achieved the machining velocity adapting the tool path.