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The compatibility investigation of 2D geodetic points by using the GPS technology
The compatibility of 2D geodetic points established in the past can be efficiently verified. It means that the suitable and also the unapplicable points can be determined by using the satellite measuring technology (GPS or GLONASS). The relative high precision of these technologies for the point coordinates determination enables a trustworthy identification of points with little defects as well. The investigation procedure of the 2D points' compatibility state is shown in fig. 1. The GPS surveying should be made with respect o the receiver calibration, horizontal datum, suitable observation plan, software to be applied, models for the positioning, etc. For the GPS network processing should be used the Gauss-Markov model of full rank with constraints. After the transformation of the given quantities [XY] and h to thecoordinates [XYZ]E and also [XYZ]W to [XYZ]Et, one can obtain the 3D coordinate discrepancies (residuals) VE=[XYZ]Et– [XYZ]E as indicators of the point compatibility or uncompatibility. The significance of VE should be verified by a convenient test (from the group for testing linear hypotheses of parameters in estimations). A continuous transformation [XYZ]Et to [XY]t can also be made, from which the 2D discrepancies V=[XY]t–[XY] of point coordinates in the 2D country system will be apparent. When, in the control more points are suspicious of uncompatibility, their convincing identification can be evaluated by applying a suitable robust estimation. From the evaluation of 2D point compatibilities by using the GPS surveying it the summary results are obtained: the points can be determined by the external accuracy < (4–6) mm and a reliable identification of uncompatible points can be performed with discrepancies > (8–10) mm.
The compatibility investigation of 2D geodetic points by using the GPS technology
The compatibility of 2D geodetic points established in the past can be efficiently verified. It means that the suitable and also the unapplicable points can be determined by using the satellite measuring technology (GPS or GLONASS). The relative high precision of these technologies for the point coordinates determination enables a trustworthy identification of points with little defects as well. The investigation procedure of the 2D points' compatibility state is shown in fig. 1. The GPS surveying should be made with respect o the receiver calibration, horizontal datum, suitable observation plan, software to be applied, models for the positioning, etc. For the GPS network processing should be used the Gauss-Markov model of full rank with constraints. After the transformation of the given quantities [XY] and h to thecoordinates [XYZ]E and also [XYZ]W to [XYZ]Et, one can obtain the 3D coordinate discrepancies (residuals) VE=[XYZ]Et– [XYZ]E as indicators of the point compatibility or uncompatibility. The significance of VE should be verified by a convenient test (from the group for testing linear hypotheses of parameters in estimations). A continuous transformation [XYZ]Et to [XY]t can also be made, from which the 2D discrepancies V=[XY]t–[XY] of point coordinates in the 2D country system will be apparent. When, in the control more points are suspicious of uncompatibility, their convincing identification can be evaluated by applying a suitable robust estimation. From the evaluation of 2D point compatibilities by using the GPS surveying it the summary results are obtained: the points can be determined by the external accuracy < (4–6) mm and a reliable identification of uncompatible points can be performed with discrepancies > (8–10) mm.
The compatibility investigation of 2D geodetic points by using the GPS technology
Juraj Gašinec (author) / Gabriel Weiss (author)
2005
Article (Journal)
Electronic Resource
Unknown
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Testing the compatibility of constraints for parameters of a geodetic adjustment model
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