Application of Robust Estimation in Polynomial Modelling

Borowski, Łukasz; Banas, Marek

doi:10.1109/bgc-geomatics.2018.00018

Cited by 4 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The largest errors in robust estimation methods are obtained when using the Danish method. This is not a surprise -similar results have already been obtained (Borowski and Banaś, 2018). Between them there are 4 remaining methods.…”

Section: Resultssupporting

confidence: 76%

The Best Robust Estimation Method to Determine Local Surface

Borowski¹,

Banas²

2019

BJMC

View full text Add to dashboard Cite

Geoid/quasi-geoid modelling in a local (small) area is often made with polynomials. The optimal version of a polynomial is found by testing its successive versions using different statistical parameters, i.e. with different degree and number of coefficients. In this publication, the authors presented 3 approaches to search for an optimal version of the polynomial. Two of them were based on one of the robust estimation methods, i.e. the Danish method. Therefore, the question arises whether this method is suitable for this type of work. The publication analyses 6 different methods of robust estimation and the method of least squares. The control parameters of the methods were selected in such a way as to obtain a comparable accuracy of fitting the polynomial into the points each time. Then, the actual accuracy obtained for each of them was compared. The result of the study is a ranking of methods in terms of the most accurate fitting results.

show abstract

Section: Resultssupporting

confidence: 76%

The Best Robust Estimation Method to Determine Local Surface

Borowski¹,

Banas²

2019

BJMC

View full text Add to dashboard Cite

show abstract

“…Polynomial optimisation was performed with the use of one of the robust estimation methods -the Danish method. It gives a better t than the least square adjustment method (Banaś, 2012;Borowski and Banaś, 2018). As a result, the distribution of height shifts improved (Table 3) (Borowski, 2017).…”

Section: The Description Of the Procedures -An Example Of Kętrzyn Distmentioning

confidence: 99%

The conversion of heights of the benchmarks of the detailed vertical reference network into the PL-EVRF2007-NH frame

Borowski

Banasik

2020

Reports on Geodesy and Geoinformatics

View full text Add to dashboard Cite

The paper describes the problem of conversion of heights to the European Vertical Reference Frame 2007 for Poland (PL-EVRF2007-NH). The subject of the study is height data, and especially the detailed vertical reference network. The aim of the article is to present an alternative method of conversion to the one recommended by the Polish Head Office of Geodesy and Cartography. The proposed approach is characterised by a low implementation cost while maintaining the required accuracy.The publication is illustrated by the case of Kętrzyn district (in the north-east part of Poland). The local reference network was converted from Kronstad’60 to PL-EVRF2007-NH in 2017.

show abstract

Implementation of the EVRF2007 height reference frame in Poland

Borowski

Kubicki

Gołąb

2023

Journal of Applied Geodesy

View full text Add to dashboard Cite

Currently, in Poland, the State Spatial Reference System (SSRS) includes two height reference frames: PL-KRON86-NH and PL-EVRF2007-NH as the Polish implementation of the European Vertical Reference System (EVRF). The deadline for EVRF2007 implementation in Poland, as the only legally permitted height frame, is set at the end of 2023. Because of the administrative division, the implementation was planned in two stages: at the state level (government) and the local level (districts). In the article, the local ones are reviewed, especially regarding the aim of height conversion methods, costs and their progress. As a background, a historical perspective of height systems and frames used in Poland since the beginning of the 20th century is provided. The source of data was the Head Office of Geodesy and Cartography (HOGC), as well as the district surveying departments’ official answers; open documents posted on the Internet, e.g. tender documentation and their results were also analysed.

show abstract

Application of Robust Estimation in Polynomial Modelling

Cited by 4 publications

References 12 publications

The Best Robust Estimation Method to Determine Local Surface

The Best Robust Estimation Method to Determine Local Surface

The conversion of heights of the benchmarks of the detailed vertical reference network into the PL-EVRF2007-NH frame

Implementation of the EVRF2007 height reference frame in Poland

Contact Info

Product

Resources

About