最小二乘插值与拟合推估Least-squares Interpolation and Collocation
刘念
摘要(Abstract)：
简述了最小二乘插值法的原理及解算过程 ,逐步引入最小二乘纯推估的概念 ,讨论了滤波与推估的结合 ,进而导出了最小二乘拟合推估的一般模型 ,得出了“最小二乘插值是拟合推估的特殊情况”的结论 ,对最小二乘拟合推估的解析性进行了简要的讨论
关键词(KeyWords)： 最小二乘;插值;拟合推估;预测;滤波
基金项目(Foundation):
作者(Author): 刘念
参考文献(References)：
- [1]MoritzH.Introduction to interpolation andapproximation[A].In:ApproximationMethods inGeodesy[C].HerbertWichmannVerlagKarlsruhe,1978:1-45.
- [2]MoritzH.Advanced physical geodesy[M].HerbertWichm annVerlagKarlsruhe,1980.
- [3]SchwarzK P.On the application of least- squares m odelto physical geodesy[A].In:ApproximationMethods inGeodesy[C].HerbertWichmannVerlagKarlsruhe,1978:89-116.
- [4]L IU Nian,HuRong- ming.Influence of the parameter ofcovariance function on result of the least squarescollocation[J].Journal ofXi'anUniversity ofScience&Technology,2001,21(1):61-64.
- [5]L IU Nian.Robust fitting of covariance function[J].Science ofSurveying andMapping,2001,26(3)[刘念.协方差函数的抗差拟合[J].测绘科学,2001,26(3)].