局部重力场最小二乘配置通用表示技术

基金项目: 国家自然科学基金资助项目(40274003)。

详细信息

General Expression of Least Squares Collocation in Local Gravity Filed

¹ Chinese Academy of Surveying and Mapping, 16 Beitaiping Road, Haidian Distract, Beijing 100039, China ;² Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, 129 Luoyu Road, Wuhan 430079, China

Funds: 国家自然科学基金资助项目(40274003)。

摘要: 在分析局部重力场最小二乘配置法技术特点的基础上,推导出一种能综合多种类型、不同高度重力场元经验协方差函数的通用表达方法,以期实现局部重力场元的内插、外推、延拓或其他不同高度的重力场元估计一体化。分析了最小二乘配置技术的一些性能以及算法实现中应注意的问题。
- 最小二乘配置 /
- 局部重力场 /
- 协方差函数
Abstract: On the basis of simply analyzing technical characters of least squares collocation, a general expression of experiential covariance function is put forward, which is identic for many gravity field variables of different types and above different heights. With the general expression, we can construct the same arithmetic for interpolation, extrapolation and continuation of local gravity field variables and estimation of different heights of theirs. Some arithmetic characters of least squares collocation are a a nalyzed and some problems are noted in arithmetic realization through testing. It is indicate that the resolution of inverse covariance matrix is not a key problem at all and the main mission is to study more efficient, more exact experiential covariance function for least squares collocation in local gravity field.
- least square collocation /
- local gravity field /
- covariance function