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Kriging方法结合最小二乘配置在GPS高程拟合中的应用
引用本文:李军海,文汉江,方爱平,刘焕玲.Kriging方法结合最小二乘配置在GPS高程拟合中的应用[J].测绘科学,2011,36(1):99-101.
作者姓名:李军海  文汉江  方爱平  刘焕玲
作者单位:中国测绘科学研究院;辽宁工程技术大学测绘与地理科学学院;
基金项目:国家自然科学基金(40874012); 武汉大学地球空间环境与大地测量教育部重点实验室开放研究基金(07-05)
摘    要:本文利用Kriging方法结合最小二乘配置将GPS高程转换成正常高.研究了将Kriging方法中的变异函数用于计算最小二乘配置中的协方差的方法,并对一局部GPS水准网的高程作了拟合计算.通过将最小二乘配置法与平面拟合模型和多面函数拟合模型等进行比较,其外符合精度从最大的±0.0277m提高到±0.0162m.

关 键 词:最小二乘配置  变异函数  协方差函数  高程拟合

Combination of Kriging and least squares collocation and its application in GPS height fitting
LI Jun-hai,WEN Han-jiang,FANG Ai-ping,LIU Huan-ling.Combination of Kriging and least squares collocation and its application in GPS height fitting[J].Science of Surveying and Mapping,2011,36(1):99-101.
Authors:LI Jun-hai  WEN Han-jiang  FANG Ai-ping  LIU Huan-ling
Institution:①②(①Chinese Academy of Surveying and Mapping,Beijing 100830,China;②School of Mapping and Geographic Science,Liaoning Technical University,Liaoning Fuxin 123000,China)
Abstract:Based on least squares collocation,a conversion method of GPS geodetic height to normal height using Kriging algorithm was proposed in this paper.It is studied that the variogram in the Kriging was used to calculate the covariance in the least squares collocation,and a local GPS leveling network height example was analyzed.By comparing the results from least squares collocation with that from the model of plane fitting and polyhedral function fitting,it was found that the accuracy of external coincidence im...
Keywords:least squares collocation  variogram function  covariance function  height fitting  
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