Abstract
Abstract The systems belonging to the European Position Determination System (EUPOS) are obliged to have a sub-service for automatic post-processing (APPS) of static satellite user observations based on observations registered by reference stations. The optimization of the number of tie vectors to reference stations is determined by the authors of APPS algorithms and is a key issue. The study validates the determination of the position of a point based on a smaller number of tie vectors than for the standard solution provided by a sub-service on an example of APPS of the Polish Active Geodetic Network (ASG-EUPOS). It was shown that the reduction of the number of tie vectors by one does not result in a significant deterioration of the accuracy of the obtained coordinates. The other objective of this study is to propose a method for comparing 3D sets. This method is based on 3D figures of assessment and a modification of a method for comparing text sets. The proposed method was validated by comparison with the Spearman correlation coefficient and Mahalanobis distance. The usefulness of the method for similarity and dissimilarity analyses of 3D sets has been demonstrated with an example of comparing the combination of reference vectors with a standard solution of APPS of ASG-EUPOS.
Highlights
European Position Determination System (EUPOS) was initiated in 2002 by the Berlin Senate Department for Urban Development and the European Academy of the Urban Development, Berlin
EUPOS encompasses Central European and Eastern European countries. These countries undertook to build and develop their national networks of reference stations under uniform standards and guidelines [1,2,3,4,5]: the network consists of permanent multifunctional reference Differential Global Navigation Satellite System (DGNSS) stations; the maximum distance between the stations does not exceed 70 km; the coordinates of the stations are determined with the highest precision in a geodetic reference frame, which is an implementation of ETRS’89, and in national coordinate reference frames; and in order to improve the geometry of the network and ensure sufficient accuracy near borders, the national networks use observations from stations of other positioning systems participating in EUPOS that are located in border areas
The authors determined the values of the radius of a sphere, the geometric centre of which was located at the reference position, which contained positions determined for each combination in the 3D space at 61%, 90%, and 99% probability for the standard solution and each proposed combination (Figure 7)
Summary
EUPOS encompasses Central European and Eastern European countries These countries undertook to build and develop their national networks of reference stations under uniform standards and guidelines [1,2,3,4,5]: the network consists of permanent multifunctional reference Differential Global Navigation Satellite System (DGNSS) stations; the maximum distance between the stations does not exceed 70 km; the coordinates of the stations are determined with the highest precision in a geodetic reference frame, which is an implementation of ETRS’89, and in national coordinate reference frames; and in order to improve the geometry of the network and ensure sufficient accuracy near borders, the national networks use observations from stations of other positioning systems participating in EUPOS that are located in border areas. Some national positioning systems use ready-made algorithms for APPS of static observations developed by leading geodesy companies such as
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