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用微分几何理论进行数据诊断
引用本文:刘权威,边少锋.用微分几何理论进行数据诊断[J].测绘学院学报,1994(1).
作者姓名:刘权威  边少锋
作者单位:太原工业大学土木系,郑州测绘学院
摘    要:本文用微分几何中的概念,提出了用曲线的变化率、加速率及其曲率三种指标进行数据诊断;利用Cp影响图为降权法诊断平差提供了赋权依据。文中给出的算例表明,所提诊断指标是有效的,并且能成功地剔除强影响点。

关 键 词:C_p影响图,数据诊断

Studies on the Data Diagnosis with the Theory of Differential Geometry
Liu Quanwei, Bian Shaofeng.Studies on the Data Diagnosis with the Theory of Differential Geometry[J].Journal of Institute of Surveying and Mapping,1994(1).
Authors:Liu Quanwei  Bian Shaofeng
Institution:Liu Quanwei; Bian Shaofeng
Abstract:In this paper, three new kinds of criterion, rate of change, rate of rate and it's curvature of a curve,of data diagnosis are presented with the theory of differential geometry and we use the Cp influence chart as the standard of assigning weight for the descending weight adjustment.One numerical example is given to show that these new data diagnosis criterions are effective and they can be used successfully to reject the high influentical case.
Keywords:C_p influence chart  Data diagnosis  
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