Applications of Graph Theory to Gross Error Detection for GPS Geodetic Control Networks

查看全文 作　　者：Samwel Simon Katambi

出　　处：《Geo-Spatial Information Science》索引2002年第5卷第4期,共6页

摘　　要：This paper describes a broad perspective of the application of graph theory to establishment of GPS control networks whereby the GPS network is considered as a connected and directed graph with three components.In this algorithm the gross error detection is undertaken through loops of different spanning trees using the 'Loop Law' in which the individual components Δ X, Δ Y and Δ Z sum up to zero.If the sum of the respective vector components ∑X,∑Y and ∑Z in a loop is not zero and if the error is beyond the tolerable limit (ε>w),it indicates the existence of gross errors in one of the baselines in the loop and therefore the baseline must be removed or re_observed.After successful screening of errors by graph theory,network adjustment can be carried out.In this paper,the GPS data from the control network established as reference system for the HP Dam at Baishan county in Liaoning province is presented to illustrate the algorithm. 关键词：全球定位系统控制网图论过失误差有向群树形图关联矩阵

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Applications of Graph Theory to Gross Error Detection for GPS Geodetic Control Networks

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