基于冗余误差控制的非均匀有理B样条曲线插补算法研究  

Interpolation algorithm for NURBS curve based on redundancy error

作　　者：徐宏[1] 胡自化[1] 张平[2] 杨冬香[1] 杨端光[1] 

机构地区：[1]湘潭大学机械工程学院,湖南湘潭411105 [2]湘潭大学基础力学与材料工程研究所,湖南湘潭411105

出　　处：《计算机集成制造系统》2007年第5期961-966,共6页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(10372087);湖南省自然科学基金资助项目(04JJ3043);湖南省教育厅科研资助项目(06B094)~~

摘　　要：提出了一种能有效控制冗余误差的非均匀有理B样条曲线插补算法。该算法综合了等弓高误差插补算法和恒定进给速度插补算法的优点,小曲率情形时在保证加工精度的前提下,通过引入进给倍率因子,增大进给速度以改善误差过度冗余;同时在大曲率情形下,可控制弓高误差在限定的误差范围以保证轮廓精度。这样既可保证轮廓精度,又可提高加工效率。仿真实例证实了该插补算法的有效性和可行性。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.

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 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]