关键词: 双圆弧, 引导曲线, 高斯积分, 非均匀有理B样条, 插补

Abstract: 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.

Key words: biarc, giude curve, Gauss integration, non-uniform rational B-Spline, interpolation