关键词: 非均匀有理B样条, 插补算法, 弓高误差, 误差冗余, 曲率

Abstract: An interpolation algorithm for Non Uniform Rational B-Spline (NURBS) curve to control redundancy error was proposed. This method combined advantages of equal chord-error interpolation algorithm and constant feedrate interpolation algorithm. And a feedrate factor was introduced to improve the error redundancy when the instantaneous curvature was too small. Also, it could control the chord-error within the specified range when the instantaneous curvature was too big. Thus, not only the contour accuracy was guaranteed, but also the machining efficiency was increased greatly. Finally, simulation results demonstrated the effectiveness and feasibility of the proposed approach.

Key words: non uniform rational B-spline, interpolation algorithm, chord-error, error redundancy, curvature