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Purpose of the program SEVENPAR is to produce a set with seven Helmert transformation parameters valid for an specificarea, with which then arbitrary points of the area can be transformed from one coordinate system into another with high accuracy. The Helmerttransformation parameters are computed with a set of individual identical points. Those are points with known coordinates in both coordinatesystems. For the computation at least three identical points must be present. In practice you will be anxious to use more identical points thanthose three necessities. 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 necessaryellipsoid half-axis are available in the program for the selection from lists. There are altogether to determine seven parameters, i.e. threetranslations, three rotations and ascale constant. The parameters are calculated by the compensation according to the method of the smallest squares (L2 norm, Helmerttransformation). Therefore must be dissolved a formula system with seven equations and seven unknown quantities. The coordinates of theidentical points are tested intensively on outliers and deviations by different statistic procedures. The quality of the computed seven Helmertparameters is documented by a cleavage matrix and by the computation of the middle, maximum and root mean square (RMS) deviations. Theseven Helmert parameters are calculated in the three most usual standards. Those are the Coordinate Frame Rotation, the Position VectorTransformation and the European Standard ISO 19111.
Tags: helmert, seven, parameters, parameter, transformation, coordinate, coordinates, transformation, geodetic, conversion, system, systems, datum, shift, reference, calculation, gps, georeference, geocoding, spatial, data, measurement, frame, rotation, positio,
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