| 重力异常的一种逼近方法 |
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| 引用本文： | 杨元喜,刘念.重力异常的一种逼近方法[J].测绘学报,2001,30(3):192-196. |
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| 作者姓名： | 杨元喜 刘念 |
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| 作者单位： | 西安测绘研究所, |
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| 基金项目： | 国家自然科学基金;49825107; |
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| 摘 要： | 函数模型逼近和统计模型逼近在大地测量均有广泛的应用。前者对趋势和性和规律性变化参数的求解较为理想。后者对随机变化物逼近较为合适，本文首先简单介绍了各种函数模型逼近和统计模型逼近的特性，提出了一种在函数模型逼近的基础上，辅以统计逼近的综合逼近法，作为一个例子，文中利用移动曲面模型和多面函数模型分别与拟合推估结合进行了重力异常的综合逼近计算。理论与计算表明，新的综合逼近法优于单独的函数模型逼近和统计模型逼近。
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| 关 键 词： | 函数模型 统计模型 综合逼近 移动曲面模型 拟合推估 重力异常 大地测量 |
| 文章编号： | 1001-1595(2001)03-0192-05 |
A Kind of Approximation Method on Gravity Anomaly |
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| YANG Yuan xi,LIU Nian.A Kind of Approximation Method on Gravity Anomaly[J].Acta Geodaetica et Cartographica Sinica,2001,30(3):192-196. |
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| Authors: | YANG Yuan xi LIU Nian |
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| Abstract: | Functional approximations and statistical approximations have been widely applied in geodetic computation. The functional models are suitable for approaching the trends, systematic variations; the statistical methods are appropriate to approximate the stochastic behavior. The characteristics of the functional and statistical approximations are analyzed at first. A new family of synthetically approximation by functional models and statistical methods is proposed. As an example, a moving surface model and a collocation method is combined to approximate the unknown gravity Anomaly.Theory and practical computations have shown that the new kind of synthetically approximation is superior to single functional approximation or statistical method. |
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| Keywords: | functional models statistical methods synthetical approximation moving surface model collocation |
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