芬兰用非常规的砝码对第二名进行了两次调整

IF 0.9 Q4 REMOTE SENSING
Vasil Cvetkov
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引用次数: 2

摘要

虽然精密找平已有150多年的历史,但其误差积累问题仍未得到完全澄清。认为该方法的误差累积与调平长度的平方根成正比。本文的第一个目标是证明这种信念并不总是得到科学证明。第二个目标是表明,如果自动应用功率参数等于1的逆距离加权,可能会错过更好的调整决策。采用线性回归分析方法对芬兰第二次削平的测量数据进行了分析。由于异方差的原因,在调平线的高程的两次测量之间的差值的绝对值和它们的长度之间的关系是不充分的。为了得到一个同方差模型,构造了另外两个模型。根据回归分析结果,使用三种权重对网络进行调整。与基于权重(线高程绝对值的函数)的两种变量相比,使用传统权重的调整产生的节点基准的平均误差要大得多。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two adjustments of the second levelling of Finland by using nonconventional weights
Abstract Despite being in use for more than 150 years, the error accumulation in precise levelling has not yet been completely clarified. It is believed that the error accumulation in this method is proportional to the square root of the levelling length. The first goal of this article is to demonstrate that this belief is not always scientifically proven. The second aim is to show that it is likely that a better adjustment decision will be missed if inverse distance weighting with a power parameter equal to one is automatically applied. Using linear regression analysis the measuring data of the Second Levelling of Finland is analysed. An inadequacy of the relationship between the absolute values of the differences between both measurements of the elevations in the levelling lines and their length is shown, which is due to heteroscedasticity. In order to obtain a homoscedastic model, the other two models are constructed. Based on the regression analysis results, the network is adjusted using three types of weights. The adjustment with traditional weights has produced significantly greater mean errors of the nodal benchmarks than both variants based on weights, which are functions of the absolute values of the line elevations.
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来源期刊
Journal of Geodetic Science
Journal of Geodetic Science REMOTE SENSING-
CiteScore
1.90
自引率
7.70%
发文量
3
审稿时长
14 weeks
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