摘要
非均匀有理B样条刀具轨迹参数u与弧长S之间没有精确解析表达式,且是非线性映射现象,为了减少速度波动,减轻在线插补计算量,提出了基于双圆弧引导曲线的快速非均匀有理B样条插补算法。利用步长参数和高斯积分对刀具轨迹进行采样,采样点是基于参数u与弧长S的坐标点,利用双圆弧拟合方法对采样点拟合成插补引导曲线,建立参数u和弧长S解析表达式。在插补时依靠建立的双圆弧引导曲线进行快速的非均匀有理B样条插补。仿真实验结果表明了所提方法的可靠性和有效性。
There was no accurate and explicit expression between spline parameter u and traveling length S,and it was non-linear mapping.To reduce feedrate fluctuation and on-line interpolation computation,fast Non-Uniform Rational B-Spline（NURBS） interpolation based on biarc guiding curve was presented.Sampled data of tabulated spline parameter and traveling length were obtained by the step-size parameter and Gauss integration,sampling point was the coordinate point between spline parameter u and traveling length S.Sampling points were fitted as interpolation guiding curve by biarc fitting method.Expression for spline parameter u and traveling length S was established.The fast NURBS interpolation was implemented by the guide curve.Simulation was preformed to validate reliability and effectiveness of this algorithm.
出处
《计算机集成制造系统》
EI
CSCD
北大核心
2011年第6期1224-1227,共4页
Computer Integrated Manufacturing Systems
基金
国家自然科学基金资助项目(50875099)
国家科技重大专项资助项目(2009ZX04009-011
2009ZX04009-021)~~
关键词
双圆弧
引导曲线
高斯积分
非均匀有理B样条
插补
biarc
giude curve
Gauss integration
non-uniform rational B-Spline
interpolation
