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连续中间法三角高程测量权的探讨
引用本文:杜宁,王莉.连续中间法三角高程测量权的探讨[J].测绘科学,2012,37(3):142-143.
作者姓名:杜宁  王莉
作者单位:贵州大学矿业学院/贵州省非金属矿产资源综合利用重点实验室,贵阳,550003
基金项目:贵阳市科学技术计划资助项目,贵州省科技计划资助项目
摘    要:在测量平差过程中,权的选取会对平差结果造成一定的影响。定权不合理会导致高差观测值改正数分配不合理,严重时会扭曲三角高程平差值,继而平差结果不能真实反映实际观测。本文在分析连续中间法三角高程测量原理的基础上,依据权的定义及误差理论,推导了中间法三角高程测量平差计算中权的确定公式,得出了权与测站距离平方和成反比的定权方法,该方法能客观地反映中间法三角高程测量高差观测值间的权比,有助于改善三角高程测量的精度。

关 键 词:中间法三角高程测量  观测值    精度

Discussion on the weight in trigonometric leveling with continuous midway method
DU Ning , WANG Li.Discussion on the weight in trigonometric leveling with continuous midway method[J].Science of Surveying and Mapping,2012,37(3):142-143.
Authors:DU Ning  WANG Li
Institution:(Mining College of Guizhou University,Guizhou Key Laboratory of Comprehensive Utilization of Non-metallic Mineral Resources,Guiyang 550003,China)
Abstract:In the process of survey adjustment,the selection of weight will cause certain effect on adjustment results.Unreasonable weight can result in incorrect distribution of the height difference observation correction,and even seriously lead to distort the trigonometric leveling adjustment value,and then the adjustment results cannot really reflect the actual observation.On the basis of analyzing the basic principle of trigonometric leveling with continuous midway method,this paper derived the weighting formula for the adjustment of trigonometric leveling with midway method according to the definition of the weight and the error theory,and concluded one weighting method that the weight is in inverse proportion to the sum of squared distances which could objectively reflect the proportion of the weight of trigonometric leveling height difference observation and contribute to improve the trigonometric leveling precision.
Keywords:trigonometric leveling with midway method  observations  weight  precision
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