Application of<i>M</i><sub>split</sub>estimation to determine control points displacements in networks with unstable reference system

Zienkiewicz, Marek Hubert

doi:10.1179/1752270614y.0000000105

Cited by 45 publications

(30 citation statements)

References 19 publications

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“…This paper is a continuation of the studies included in the publications (Zienkiewicz, 2014;Zienkiewicz and Baryła, 2015;Wiśniewski and Zienkiewicz, 2016). The main aim of this paper is to present the application properties of the M split(q) estimation in deformation analysis based on geodetic levelling network.…”

Section: Figmentioning

confidence: 99%

“…Previous studies demonstrated the use of a split functional model to create the point clouds from terrestrial and airborne laser scanning (Błaszczak-Bąk et. al., 2015;Janowski and Rapiński, 2013), coordinate transformation (Janicka and Rapiński, 2013), direct determination of shifts between parameters (Duchnowski and Wiśniewski, 2012Wiśniewski, , 2014Wiśniewski and Zienkiewicz, 2016), and determination the deformations indicators of the geodetic networks with unstable reference datum (Zienkiewicz, 2014(Zienkiewicz, , 2015Filipiak-Kowszyk and Kamiński, 2016;Wiśniewski and Zienkiewicz, 2016). This method was also considered as a method of robust estimation (Wiśniewski, 2009a;Ge et.…”

Section: Figmentioning

confidence: 99%

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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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Section: Figmentioning

confidence: 99%

Section: Figmentioning

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 aim function minimum (7) is generally searched using the Newton method (Teunissen 1990, Wiśniewski 2009, 2010, Zienkiewicz 2014, Zienkiewicz and Baryła 2015. Determination of M split estimates may also be done with the gradient "zeroing".…”

Section: Theoretical Foundations Of M Split Estimationmentioning

confidence: 99%

Application of Square M_split Estimation in Determination of Vessel Position in Coastal Shipping

Zienkiewicz

Czaplewski

2017

Polish Maritime Research

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The main aim of this paper is to assess the possibility of using non-conventional geodetic estimation methods in maritime navigation. The research subject of this paper concerns robust determination of vessel's position using a method of parameters estimation in the split functional model (M split estimation). The studies performed will help in finding out if and in which situations the application of M split estimation as the method for determining vessel's position is beneficial from the perspective of navigation safety. The results obtained were compared with the results of traditional estimation methods, i.e. least squares method and robust M-estimation.

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“…Numerical computations were made for vector y in which there are no outlying observations as well as for a situation when one of the observations has a gross error. It was assumed for the experiment's sake that bearings Zienkiewicz, M. H.;Czaplewski, K. 2017. Analysis of a practical application of geodetic methods of robust estimation in a vessel positioning based on radar observations 5 determined from the Gdynia_KP Harbour Master were contaminated with a gross error of 8 e = .…”

Section: T Mmentioning

confidence: 99%

“…M split estimation, can also be regarded as a method of robust estimation (see e.g. Wiśniewski 2009;Ge et al 2013;Zienkiewicz 2014). Robust methods of observation adjustment, included in the class of M-estimation, are particularly important from the perspective of navigational measurement structures.…”

Section: Introductionmentioning

confidence: 99%

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

Zienkiewicz

Czaplewski

2017

Proccedings of 10th International Conference "Environmental Engineering"

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Abstract. This paper analyses whether the application of robust estimation methods can prevent incorrect vessel positioning, thereby improving navigation safety. Empirical analyses were carried out assuming that the observational vector y comprises observations acquired from coastal radar stations operating within the "VTS Gdańsk Bay" system. Particular attention was paid to a situation in which one of observations has a gross error. Numerical tests were carried out considering several variants of the number of redundant observations. Since the significance of the subject matter in this study arises from the dynamism of position changes of a measurement item, measurements cannot be repeated at the same position. For the same reason, it is very important to choose the optimum method of working out the observations. The results of the robust adjustment of radar observations were compared with the results of the conventional least squares method.Keywords: geodetic adjustment, robust estimation, radar navigation.Conference topic: Technologies of geodesy and cadastre. IntroductionVessel tracking systems (VTS) are established in basins with intensive ship traffic and the presence of navigation hazards creates a considerable risk of collision or other maritime disaster. A VTS is established by a marine administrative body of the state with sea access in order to improve navigation safety, environmental protection or to streamline vessel traffic. Depending on the needs, the basin shape and vessel traffic stream, a VTS can include a port and an approach to it (e.g. Rotterdam Port) or an approach to several ports situated close to each other (e.g. Gdańsk Bay), etc. The area covered by the system is usually serviced by the control centre. The main task of each centre is to analyse the navigational situation in the area and VTS centre operators must have complete and precise information on the position of the vessels moving in the basin in which the VTS is established. It is extremely important for an operator to have as precise a position as possible together with an assessment of its quality, for example using satellite systems (see Specht et al. 2015;Specht, Rudnicki 2016). The authors of this paper have analysed modern analytical methods to streamline the work of a VTS operator. The effects of one of the work stages are presented in this paper. VTS Gdańsk Bay, where the theoretical assumptions were verified, has been operating since 1 May 2003. It serves VTS system users and supervises navigation safety within the area of its responsibility. The VTS Gdańsk Bay system was accepted in October 2007 and approved formally during the 83rd session of Maritime Safety Committee IMO. As decided by the IMO's Maritime Safety Committee, the regulation became effective on 1 May 2008. The system has been employing:

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Application ofM_splitestimation to determine control points displacements in networks with unstable reference system

Cited by 45 publications

References 19 publications

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

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

Application of Square M_split Estimation in Determination of Vessel Position in Coastal Shipping

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

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Application ofMsplitestimation to determine control points displacements in networks with unstable reference system

Cited by 45 publications

References 19 publications

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

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

Application of Square Msplit Estimation in Determination of Vessel Position in Coastal Shipping

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

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Application ofM_splitestimation to determine control points displacements in networks with unstable reference system

Application of Square M_split Estimation in Determination of Vessel Position in Coastal Shipping