Fitting a Precise Levelling Network to Control Points Using a Modified Robust Huber’s Mean Error Function

Osada, Edward; Borkowski, Andrzej; Kurpiński, Grzegorz; Oleksy, Marcin; Seta, Mateusz

doi:10.1061/(asce)su.1943-5428.0000201

Cited by 7 publications

(6 citation statements)

References 11 publications

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“…It allows for fitting of geodetic network to unstable reference points (Osada et al, 2017a(Osada et al, , 2018. -Development of the covariance function parametrisation approach that is based on the Fisher scoring technique and the Levenberg-Marquardt optimisation (Jarmołowski, 2015(Jarmołowski, , 2017.…”

Section: Discussionmentioning

confidence: 99%

“…r is a constant value that defines the range of outliers, usually equal to 1.5. The authors demonstrated the proposed approach performance on the adjustment of the levelling network with possible unstable control points (Osada et al, 2017a). The same method, after the small modification, was used for successful robust adjustment of a precise planar network that was referenced to unstable control points (Osada et al, 2018).…”

Section: Robust Estimation and Its Variantsmentioning

confidence: 99%

“…A robust weight function is that which distinguishes different variants from each other. Osada et al (2017a) have proposed another realisation of the M-estimation that uses modified robust Huber's mean error function. In contrast to the original Huber's approach, the proposed implementation is based on the linearly modified standard deviation that consists of the sum of the standard deviation resulting from a priori observation errors and the distance, v − rσ v .…”

Section: Robust Estimation and Its Variantsmentioning

confidence: 99%

“…In their study on fitting a precise levelling network to the national control network, benchmarks, which are subject to vertical movements induced by underground mining (Osada et al, 2017a), construct and use a modified Huber's M-estimator as its classical version produces results that could not be accepted in deformation monitoring. Apart from possible gross measurement errors, which are significantly reduced by the use of modern measuring devices, the vertical movements of control points inevitably produce blunders that require a special adjustment strategy.…”

Section: Control Network Analysismentioning

confidence: 99%

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Geodesy and Cartography

Borkowski

Kosek

Ligas

2019

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The summary of research activities concerning general theory and methodology performed in Poland in the period of 2015-2018 is presented as a national report for the 27 th IUGG (International Union of Geodesy and Geophysics) General Assembly. It contains the results of research on new or improved methods and variants of robust parameter estimation and their application, especially to control network analysis. Reliability analysis of the observation system and an integrated adjustment approach are also given. The identifiability (ID) index as a new measure for minimal detectable bias (MDB) in the observation system of a network, has been introduced. A new method of covariance function parameter estimation in the least squares collocation has been developed. The robustified version of the Shift-M split estimation, termed as Shift-M* split estimation, which enables estimation of parameter differences (robustly), without the need of prior estimation of the parameters, has been introduced. Results on the analysis of geodetic time series, particularly Earth orientation parameter time series, geocenter time series, permanent station coordinates and sea level variation time series are also provided in this review paper. The entire bibliography of related works is provided in the references.

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Section: Discussionmentioning

confidence: 99%

Section: Robust Estimation and Its Variantsmentioning

confidence: 99%

Section: Robust Estimation and Its Variantsmentioning

confidence: 99%

Section: Control Network Analysismentioning

confidence: 99%

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Geodesy and Cartography

Borkowski

Kosek

Ligas

2019

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“…Wiśniewski, 2014;Durdag et al,. 2016;Osada et al, 2016). However it is noteworthy that in the papers (Zienkiewicz, 2014;Zienkiewicz and Baryła, 2015;Wisniewski and Zienkiewicz, 2016) shown that it is possible to obtain robust Msplit estimates by using a virtual functional model.…”

Section: No Pointsmentioning

confidence: 99%

Multi split functional model of geodetic observations in deformation analyses of the Olsztyn castle

Zienkiewicz¹

2017

Acta Geodynamica Et Geomaterialia

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The paper presents monitoring of the geodetic displacements using the M split(q) estimation method. Generally, the approach is based on a multi split functional model of geodetic observations. A typical property of M split(q) estimation is that the estimates of the controlled point coordinates are determined by using one observation set in all measurement campaigns. In this paper the authors point out that this method may be particularly useful for adjustment of the surveying network with a low level of the mutual control observations. The precise geometric leveling measurements were used as a dataset for verification of the proposed method efficacy. As a test object the Olsztyn Castle in Poland was taken. The results of the study were compared to the classical method of the least squares estimation. Experiment results showed the important advantages of method of the estimation parameters in a split functional model of geodetic observations. ARTICLEINFOArticlehistory:

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Method of Optimal Fitting of Existing Lower-Class Leveling Control Networks to Modernized National Higher-Class Networks

Osada

Karsznia

2019

J. Surv. Eng.

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Fitting a Precise Levelling Network to Control Points Using a Modified Robust Huber’s Mean Error Function

Cited by 7 publications

References 11 publications

Geodesy and Cartography

Geodesy and Cartography

Multi split functional model of geodetic observations in deformation analyses of the Olsztyn castle

Method of Optimal Fitting of Existing Lower-Class Leveling Control Networks to Modernized National Higher-Class Networks

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