engleski

A Method for High Precision Coordinate Transformation in Environmental GIS Applications

Development of a method for coordinate system transformations, which can be used within GIS applications for en-vironmental information management, is described. Transformation of geographic (in degrees) into geodetic (in m) coordinates was investigated using the old Yugoslav coordinate system (still in use in the newly established states of Slovenia, Croatia, Bosnia and Herzegovina, Serbia, Montenegro and Macedonia) as source data, with precision of cm. To simplify the transformation procedure, the general polynomial coordinate transformation was used, organized in several steps. First, an equation of the third order for interpolation of northing coordinates along a central merid-ian, as a function of latitude, was developed using a central difference scheme. Using the results obtained in such a way equations of second and fourth orders were developed for calculation of the increase in northing and shifts of easting from false easting, as a function of longitude (for a distance of 2o from the central meridian) along the corre-sponding parallel. Interpolation by 1o resulted in errors up to 5 cm, while interpolation by 30' resulted in errors below 1 cm, which corresponds to the precision of original source data. Interpolation by 15' or less cannot further increase the accuracy. Quadratic terms (about 485m/o) are dominant in equations for the increase in northing and linear terms (about 80000m/o) are dominant in those for the shift in easting, while other terms are in the range of centimetres or less.

method for coordinate system transformations; GIS applications; environmental information; general polynomial coordinate transformation; interpolationinterpolation of northing/easting coordinates; central meridian

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