最小二乘配置及多面函数法在高程异常推估中的应用比较  

Application and Comparison of Least Squares Collocation and Multi-surface Functions Method in Height Anomaly Estimation

作　　者：李成仁[1] 岳东杰[1] 丁旭[2] 袁豹[1] 

机构地区：[1]河海大学地球科学与工程学院,南京市210098 [2]武汉大学测绘学院,武汉市430079

出　　处：《勘察科学技术》2013年第3期40-42,58,共4页Site Investigation Science and Technology

基　　金：国家自然科学基金资助项目(51079053)

摘　　要：简述最小二乘配置和多面函数法的原理。从推估公式和估值精度等方面比较两种方法的异同,由于其推估式形式基本一致,可以将核函数近似看成一种简单的协方差函数。结合高程异常推估实例,比较了两种方法的推估精度,推估精度基本相当。建议在信号先验信息未知的情况下,可考虑使用较为简单的多面函数法进行未测点的高程异常推估。The principles of least squares collocation and multi-surface functions method are expounded. The similarities and differences from the estimation formulas and valuation accuracy of two methods are compared, because the estimation formulas are nearly the same, the kernel functions can be regarded as a kind of simple covariance functions. Combined with height anomaly estimating examples, the estimation accuracy of two methods is compared, and it is nearly the same. It is recommended that if priori informa- tion is unknown, it may consider that a relatively simple multi-surface functions method is used to esti- mate height anomaly for not measured points.

关 键 词：最小二乘配置 多面函数法 协方差函数 核函数 高程异常推估 

分 类 号：P228.4[天文地球—大地测量学与测量工程]