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求解半变异函数的常用方法与新方法研究
引用本文:舒彦军,张立亭.求解半变异函数的常用方法与新方法研究[J].东北测绘,2012(5):24-27.
作者姓名:舒彦军  张立亭
作者单位:东华理工大学测绘工程学院,江西抚州344000
基金项目:东华理工大学研究生创新基金项目(DYCA11019)资助
摘    要:半变异函数的获取既有人为主观求取法,又有运用数学工具客观求取法,但是后者是今后的主要趋势。笔者在前人工作的基础上,归纳出多项式回归法、线性规划法和目标规划法三种求解半变异函数的成熟方法,以及非线性回归理论直接求解法、进化计算和积分面积三种新兴方法,并总结出各种方法的优缺点。最后概括出计算权重的两种方法。

关 键 词:半变异函数  多项式回归  线性规划  目标规划  非线性回归  进化计算  积分面积  地统计学

Study of the Commonly Used Methods and New Methods of Solving Semi-Variogram
SHU Yan-jun,ZHANG Li-ting.Study of the Commonly Used Methods and New Methods of Solving Semi-Variogram[J].Northeast Surveying and Mapping,2012(5):24-27.
Authors:SHU Yan-jun  ZHANG Li-ting
Institution:(School of Surveying and Mapping Engineering,East China University of Technology,Fuzhou 344000,China)
Abstract:Subjective solving methods and solving methods using mathematical tools are the methods of acquiring semi-variogram,with the latter of which being the main trend in the future.Based on the summary of the early studies,this paper summarizes the three conventional methods of solving semi-variogram which are polynomial regression method,linear programming method and goal programming method,put forwards the three newly developed methods of solving semi-variogram which are non-linear regression direct solving method,evolutionary computation method and area integration method,and summarizes the advantages and shortcomings of the above methods.In the end,it gives out two methods of calculating the weighting.
Keywords:semivariogram  polynomial regression  linear programming  goal programming  non linear regression  evolutionary computation  integration area  geo-statistics
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