The method of detection and localization of configuration defects in geodetic networks by means of Tikhonov regularization

IF 0.3 Q4 REMOTE SENSING Reports on Geodesy and Geoinformatics Pub Date : 2021-12-01 DOI:10.2478/rgg-2021-0004
R. Kadaj
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引用次数: 1

Abstract

Abstract In adjusted geodetic networks, cases of local configuration defects (defects in the geometric structure of the network due to missing data or errors in point numbering) can be encountered, which lead to the singularity of the normal equation system in the least-squares procedure. Numbering errors in observation sets cause the computer program to define the network geometry incorrectly. Another cause of a defect may be accidental omission of certain data records, causing local indeterminacy or lowering of local reliability rates in a network. Obviously, the problem of a configuration defect may be easily detectable in networks with a small number of points. However, it becomes a real problem in large networks, where manual checking of all data becomes a very expensive task. The paper presents a new strategy for the detection of configuration defects with the use of the Tikhonov regularization method. The method was implemented in 1992 in the GEONET system (www.geonet.net.pl).
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基于吉洪诺夫正则化的大地测量网结构缺陷检测与定位方法
在调整后的大地测量网中,会遇到局部构型缺陷(由于数据缺失或点数错误导致的网络几何结构缺陷),从而导致最小二乘法向方程组的奇异性。观测集的编号错误会导致计算机程序对网络几何形状的定义不正确。另一个原因可能是某些数据记录的意外遗漏,导致网络局部不确定或局部可靠性降低。显然,配置缺陷的问题可能很容易在具有少量点的网络中检测到。然而,在大型网络中,手动检查所有数据成为一项非常昂贵的任务,这成为一个真正的问题。本文提出了一种利用吉洪诺夫正则化方法检测结构缺陷的新策略。该方法于1992年在GEONET系统(www.geonet.net.pl)中实施。
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来源期刊
自引率
28.60%
发文量
5
审稿时长
12 weeks
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