摘要： 讨论了有理高斯函数曲线模拟技术。通过控制点位置和权值节点分布以及高斯标准误差来控制曲线形状。对于给定的插值点,根据曲线封闭和不封闭两种情况,分别反向求出控制点,并给出相应高斯标准误差的估计值。在此基础上,运用高斯函数曲线模拟技术对直线、圆进行模拟,并给出最大误差。

关键词: 高斯函数, 逼近, 插值点, 高斯标准误差

Abstract: Approximation of any curve using rational Gaussian functions is presented.The shape of curves is controlled by the coordinate and weight of the control points,nodes,and Gaussian standard deviations.With the interpolating points,the control points can be determined by an inverse process.Then the corresponding Gaussian deviations are shown.At last,line and circle are approximated by rational Gaussian functions,and the maximum error is also given.

中图分类号: 

• TP391.41