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The program produces a set with seven parameters of the sapatial Helmert transformation valid for an specific area, with which then arbitrary coordinates of the area can be transformed from one reference system into another with high accuracy. The seven transformation parameters are computed with a set of individual identical points. Those are points with known coordinates in both reference systems. For the computation at least three identical points must be present. In practice you will be anxious to use more identical points than those three necessities. The program supports upto 10.000 identical points. Cartesian coordinates or geographical coordinates with ellipsoidal height using the ellipsoid dimensions are suitable. Identical measuring points of higher order can be usually inquired or referred by the official institutions for measurement. The necessary ellipsoid half-axis are available in the program for the selection from lists. There are altogether to determine seven parameters, i.e. three translations, three rotations and a scale constant. The parameters are calculated by the compensation according to the method of the smallest squares (L2 norm, Helmert transformation). Therefore must be dissolved a formula system with seven equations and seven unknown quantities. The coordinates of the identical points are tested intensively on outliers and deviations by different statistic procedures. The quality of the computed seven parameters of the Helmert transformation is documented by a residual matrix and by the computation of the middle, maximum and root mean square (RMS) deviations. The seven parameters are presented in the three most usual standards. Those are the Coordinate Frame Rotation, the Position Vector Transformation and the European Standard ISO 19111.
Tags: helmert, seven, parameters, parameter, transformation, coordinate, coordinates, geodetic, conversion, system, systems, datum, shift, reference, calculation, gps, georeference, geocoding, spatial, data, measurement, frame, rotation, position, vector, iso, 19111, …

In the Dynamic Link Library GeoDLL geodesic functions like 2D and 3D coordinate transformation, datum changes, meridian strip changes, user defined coordinate and reference systems, NTv2 support, distance calculation, maps functions, Digital Elevation Models and more geodesic functions are contained to bind them into own applications. WINDOWS operating system allows building of function libraries intended for use by applications, the so-called Dynamic Link Libraries. The application uses functions stored in the DLL by making a DLL call. The language used for developing applications that call functions of the DLL is not important. It could be C++, Delphi, MS-Access, Visual Basic or CA-Visual Objects or other. Therefore the DLL is delivered with interface source codes to many programming languages. With GeoDLL world wide Coordinate Transformations and Reference System Transformations (datum shifts) are available: 1. The current and many historical Coordinate and Reference Systems of all States of the European Union (EU) including the eastern extensions and other European Systems. 2. The US- and Canadian State Plane- and other Coordinate and Reference Systems of the North American Continent. 3.The Coordinate and Reference Systems of the Australian Continent. 4. A lot of Coordinate and Reference Systems of other Continents. 5. All world-wide used Coordinate and Reference Systems. 6. The German Coordinate and Reference Systems of the old and new Federal States, the 40 Prussian Soldner Land Registers, the German Lagestatus and exact Reference Systems of the German Federal States. Apart from this systems your own coordinate systems and geodetic reference systems can be defined with Helmert or Molodenski (Bursa / Wolf) parameters. You find complete lists of the functions, coordinate and reference systems treated by the DLL in the documentation or direct at the address http://www.killetsoft.de/p_gdla_e.htm.
Tags: formula, coordinate, coordinates, transformation, digital, elevation, model, geodetic, distance, calculation, conversion, system, datum, shift, reference, ntv2, gps, geocoding, measurement, geodesy, meridian, utm, wgs84, state, plane, spcs, nad27, nad83, mtm, …