基于协方差函数的点坐标拟合推估算法  

Solution for Coordinates Collocation Based on Covariance Function

作　　者：陶叶青[1] 高井祥[1] 姚一飞[1] 杨娟[1] 

机构地区：[1]中国矿业大学国土环境与灾害监测国家测绘地理信息局重点实验室,徐州市大学路1号221116

出　　处：《大地测量与地球动力学》2015年第2期225-227,共3页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41074010);安徽省优秀青年人才基金(2013SQRL085ZD)

摘　　要：应用空间转换模型实现坐标系统的转换。根据转换区域内已知公共点在转换后的残差,用Reilly函数建立协方差函数。在协方差函数的基础上,拟合点坐标随机性部分的残差值。算例表明,应用协方差函数对点坐标进行拟合推估,点坐标值更趋近真值。The traditional algorithm for coordinates system conversion applies a mathematical model for computation of control points＇ coordinates in the target coordinate system.However,it needs to be pointed out that the traditional algorithm is irrational because the control points＇ coordinates are made up of systematic and stochastic parts,and the traditional algorithm applies a conversion model to fit the systematic part of coordinates,ignoring the stochastic part of coordinates.In this paper,a new solution that establishes the covariance function based on Reilly function to fit the stochastic part of coordinates is presented.Furthermore,the detailed steps for establishment of the covariance function,which takes the residual error of known control points＇ coordinates in the target coordinates system as its basis,are proposed.To prove the solution presented in this paper is feasible,an instance is cited,and the numerical results clearly demonstrate that computation control points＇ coordinates based on an algorithm that applies covariance function to fit the value of the coordinates is more accurate.

关 键 词：协方差函数 拟合推估 坐标转换 

分 类 号：P221[天文地球—大地测量学与测量工程]