| 最小二乘插值与拟合推估 |
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| 引用本文： | 刘念.最小二乘插值与拟合推估[J].测绘科学,2002,27(3):19-21,51. |
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| 作者姓名： | 刘念 |
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| 作者单位： | 国家测绘局第一地形测量队,陕西,西安,710054 |
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| 摘 要： | 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
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| 关 键 词： | 最小二乘 插值 拟合推估 预测 滤波 |
| 文章编号： | 1009-2307(2002)03-0019-0004 |
Least-squares interpolation and Collocation |
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| LIU Nian.Least-squares interpolation and Collocation[J].Science of Surveying and Mapping,2002,27(3):19-21,51. |
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| Authors: | LIU Nian |
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| Abstract: | Firstly,the least-squares interpolation theory is described in this paper.Then we introduced the purely prediction method,as well as the combination method of prediction and filtering step by step.In succession,the general model of least-squares collocation is deduced.It is shown that,the least-squares interpolation is one of the especial case of collocation in theory.The properties of analytic and of statistic are discussed in the end of this paper. |
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| Keywords: | least-squares interpolation collocation prediction filtering |
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