曲线拟会波动现象及B样条磨光

Numerical Approaching Instability and B-Spline Smoothing Method

对多项式最小二乘法执合曲线时出现的曲线波动问题进行深入分析后，认为其问题主要原因是多项式的解析性引起误差在大范围内传播。为克服这种现象，试将Ｂ样条函数磨光法用于实际数据的拟合，由计算机拟合、彩色平板绘图仪自动绘出曲线，对照结果表明：该法效果不错，有实用价值。

n this paper, two kinds of numerical approximate method are presented. POlynomial Least SquareMethod (LSM) is introduced first and then its computational instability is pointed out. Furthermore, Bspline smoothing method is recommended to solve the problem. Eight plots are presented to demonstrate theresult.