Empirical Research of Interpolation Methods in Distortion Modeling for the Coordinate Transformation between Local and Global Geodetic Datums

Grgić, Marijan; Varga, Matej; Bašić, Tomislav

doi:10.1061/(asce)su.1943-5428.0000154

Cited by 14 publications

(5 citation statements)

References 20 publications

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“…Furthermore, the adjustment procedures used to adjust the local geodetic networks were of lower accuracies (Varga et al, 2017 and references therein). This supports the point made in Featherstone Grgić et al, (2015) that the present conformal transformation models often times are unable to accurately reduce the distortion effects on the final transformation outputs.…”

Section: Proposed Hybrid Modelsupporting

confidence: 83%

Empirical study on the integration of total least squares and radial basis function neural network for coordinate transformation

Kumi-Boateng

Ziggah

2020

GJSTD

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Total Least Squares (TLS) is noted to be a solution approach to solving several geodetic problems. The method has the ability to estimate unknown quantities that are useful for many geodetic applications. Hence, the main objective of this study was to improve the estimation performance of TLS via Radial Basis Function Neural Network (RBFNN) in coordinate transformation. This hybrid approach called TLS-RBFNN was applied to Ghana geodetic reference network, which has a coverage area of 79857 km2 representing 33.5% of the total land mass (238540 km2). A comparative performance analysis of TLS, RBFNN and TLS-RBFNN was carried out using Root Mean Square Horizontal Error (RMSHE) and Standard Deviation (SD). Based on the testing results, it was found that the TLS-RBFNN improved the transformation accuracy of RBFNN and TLS by 20.2% and 37.3% based on the RMSHE. In addition, it was observed that the TLS-RBFNN improved the transformation precision based on SD by 0.37% and 8.52%, respectively. Furthermore, the Bayesian Information Criterion (BIC) applied confirmed the superiority of the hybrid approach than using TLS and RBFNN as independent transformation methods. Consequently, the hybrid approach is recommended for enhanced coordinate transformation results in Ghana geodetic reference network.

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Section: Proposed Hybrid Modelsupporting

confidence: 83%

Empirical study on the integration of total least squares and radial basis function neural network for coordinate transformation

Kumi-Boateng

Ziggah

2020

GJSTD

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“…Today, it is normal for a surface modelling software to include a dozen or more different spatial interpolation algorithms for a user to choose from. That is why assessment and comparison of those methods' accuracy are important for geosciences (Gumus and Sen, 2013;Grgić et al, 2015). The aim of this paper is a determination of spatial interpolation accuracy for several different commonly used methods, applied on different grid models of the geoid over a wide area of Croatia.…”

Section: Introductionmentioning

confidence: 99%

Accuracy assessment and comparison of interpolation methods on geoid models

Radanović¹,

Bašić²

2018

geod. vestn.

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In this paper the accuracy of 6 spatial interpolation methods on geoid grid models are tested and compared: Inverse Distance Weighting, Kriging, Minimum Curvature, Natural Neighbour, Radial Basis Function and Moving Average. Grid models are derived from three global geopotential models: EGM2008, EIGEN-6C4 and GECO. Totally 18 geoid models in forms of equiangular grid models are created in GoldenSoftware Surfer 13 for this purpose, by combining 6 methods of interpolation and 3 global models, whose size and position cover a wide area of Croatia with parts of neighbouring countries. Default interpolation parameters were kept during the process. Models were created in a way that modelled values of geoid undulations can be subtracted from undulations of independent models in equal points. Residuals calculated in this way served as a base for quality assessment. Comparative analysis of quality indicators, statistics and graphical indicators of residuals led to a conclusion that the best-fitted methods of interpolation for this specific case are Radial Basis Function, Kriging, and Natural Neighbour, in that order.

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“…For the territory of the Republic of Croatia, coordinate transformation procedure also became important with the usage of NAVSTAR GPS as a measuring technique in the late 1980s and early 1990s within first regional geodynamic (CRODYN) and EUREF GPS measuring campaigns [26,27]. Later, two different transformation models were established to ensure the coordinate transformation procedure between HDKS and ETRS89/HTRS96, called DAT_ABMO and, currently, the official one, T7D, both of which are based on a 7-parameter transformation [14,18,21,[28][29][30][31][32][33].…”

Section: Review Of Previous Studiesmentioning

confidence: 99%

Detail Explanation of Coordinate Transformation Procedures Used in Geodesy and Geoinformatics on the Example of the Territory of the Republic of Croatia

Banković,

Dubrović,

Banko

et al. 2024

Applied Sciences

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With strong technology improvement, especially GNSS, coordinate transformation has become an essential tool in everyday practice. For this reason, it is beneficial to have a good understanding of the mathematical process of coordinate transformation, as well as the method for calculating transformation parameters. The purpose of this article is to provide a detailed explanation of the coordinate transformation procedure and the calculation of transformation parameters for seven transformation models: 3-parameter, 5-parameter standard and abridged, 7-parameter, 8-parameter, 9-parameter, and 12-parameter. For each transformation model, a basic transformation equation, a procedure for calculating transformation parameters, inverse expression for reversible transformation, as well as characteristics of each model are provided. As an addition, for each model, a numerical example of calculating transformation parameters for the territory of the Republic of Croatia is provided. Additionally, for the example of the 7-parameter transformation, importance of reversible transformation, rotation convention, as well as the form of the rotation matrix used during transformation are demonstrated.

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Empirical Research of Interpolation Methods in Distortion Modeling for the Coordinate Transformation between Local and Global Geodetic Datums

Cited by 14 publications

References 20 publications

Empirical study on the integration of total least squares and radial basis function neural network for coordinate transformation

Empirical study on the integration of total least squares and radial basis function neural network for coordinate transformation

Accuracy assessment and comparison of interpolation methods on geoid models

Detail Explanation of Coordinate Transformation Procedures Used in Geodesy and Geoinformatics on the Example of the Territory of the Republic of Croatia

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