Coordinate transformations with the BeTA2007 test data of the ADV - An accuracy check

FOR IMMEDIATE RELEASE
(Free-Press-Release.com) December 7, 2011 --

The program TRANSDAT and the function libraries GeoDLL and BetaDLL supports NTv2 standard coordinate transformations with high accuracy. Amongst others the NTv2 grid file BeTA2007 can be used for transformations within Germany with results in sub-meter accuracy. The grid file is provided by the "Arbeitsgemeinschaft der Vermessungsverwaltungen der Länder der Bundesrepublik Deutschland" (ADV), along with a documentation and a set of test data. The test data contain 31 spaced points on the territory of the Federal Republic of Germany in different variations with coordinates in both reference systems DHDN90 and ETRS89.

The test data are provided by the ADV for the verification of the computational accuracy of transformation solutions with external software. The results do not make a statement about the accuracy of the transformation system BeTA2007. Due to the system with BeTA2007 a nationwide transformation accuracy in sub-meter range can be realized. For allocated areas even an accuracy in the decimeter and centimeter range can be achieved.

Comparative calculations with the test data of the ADV, done by the engineering office C. Killet Software Ing.-GbR, attest to the software TRANSDAT, GeoDLL and BetaDLL a very good self-consistency. Here are the results:
Forward calculation Gauss-Krueger / DHDN90 to UTM / ETRS89:
Maximum deviation 0,04 millimeters
Average deviation 0,02 millimeters
Forward calculation Geographic Coordinates DHDN90 to ETRS89:
Maximum deviation 0,51 microseconds (millionth seconds, corresponds appr. 0,01 millimeters)
Average deviation 0,19 microseconds
Reverse calculation UTM / ETRS89 to Gauss-Krueger / DHDN90 on different meridian strips:
Maximum deviation 0,20 millimeters
Average deviation 0,07 millimeters
Reverse calculation Geographic Coordinates ETRS89 to DHDN90:

Maximum deviation 0,51 microseconds
Average deviation 0,18 microseconds
The good result is not surprising, since for the calculations strict formulas are used only. The coordinate transformations are performed according to publications of Maarten Hooijberg (1997 and 2008). The NTv2 date change is made following publications of D. R. Junkins and S. A. Farley (1995).

The comparative calculations were done with the program TRANSDAT indeed, but they are also valid for the function libraries GeoDLL and BetaDLL. These are used by the program TRANSDAT for the necessary geodetic calculations. The libraries allow users to include coordinate transformations with high accuracy in their own programs.

You can download the test protocol and tables with the corresponding calculations by entering the URL http://www.killetsoft.de/zip/ntv2/bkg_ks.zip in your Internet browser.

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