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秩亏自由网平差中观测值改正数与参考系选取无关性的推导 被引量:1

The Derivation of Independence Relationship Between Observation Correct Number and Reference Frame Selection in Rank Defect Free Network Adjustment
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摘要 对于无起算数据的秩亏自由网,其观测值改正数是一组与控制网参考系选择无关的不变量.本文根据秩亏自由网平差中未知参数在最小二乘准则下的一般解,通过选择不同的参考基准,证明了观测值改正数与未知参数初值选择的无关性质.整个推导过程直观明了,有助于加深对秩亏自由网平差的几何意义及性质的理解,便于实际应用. The observation correct number is a set of invariant data which have no relationship with control network's reference frame in rank defect free network without initial data.Based on the unknown parameter's general solution in rank defect free network adjustment under the least squares principle,the independence relationship between observation correct number and unknown parameter's initial value selection is revealed according to choose different reference data.The whole derivation process,which will help to deepen the understanding of rank defect free network adjustment's geometric significance and property,is intuitive and clear.It is convenient to be used in practice.
作者 李伟东
出处 《吉林建筑工程学院学报》 CAS 2011年第6期15-17,共3页 Journal of Jilin Architectural and Civil Engineering
关键词 观测值改正数 秩亏自由网 平差 参考系 observation correct number rank defect free network adjustment reference frame
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  • 1於宗俦 鲁林成.测量平差基础[M].北京:测绘出版社,1983..

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