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预处理——插值
2022-07-06 20:38:00 【路Lu727】
1、作用
若函数f(x)在自变数x一些离散值所对应的函数值为已知,则可以作一个适当的特定函数p(x),使得p(x)在这些离散值所取的函数值,就是f(x)的已知值。从而可以用p(x)来估计f(x)在这些离散值之间的自变数所对应的函数值,这种方法称为插值法。
2、输入输出描述
输入:存在缺失值的原始数据
输出:补充缺失值后的数据
3、matlab
x,y为原始一维数据,xi为插值点,method为‘nearest’邻近点插值;‘linear’线性插值;‘spline’三次样条插值;‘pchip’立方插值。
x,y为原始一维坐标数据,z为原始高度矩阵,xi,yi为插值点,method为‘nearest’邻近点插值;‘linear’线性插值;‘spline’三次样条插值;‘cubic’立方插值。
4、建模步骤
拉格朗日插值
多项式次数超过7时,会产生严重Runge现象,因此可以将数据分成多个区间,在每个区间独立插值
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