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A Method for High Precision Coordinate Transformation in Environmental GIS Applications

Authors
Ruzic, Ivica (Rudjer Boskovic Institute)
Search for Ivica Ruzic in Research Programmes Information System
Pecar-Ilic, Jadranka (Rudjer Boskovic Institute)
Search for Jadranka Pecar-Ilic in Research Programmes Information System
Chapter Trends in Environmental Information and Geographical Information Systems
Volume Environmental Informatics and Systems Research (Part 1)
Conference Environmental Informatics and Systems Research
Warschau, 2007
Year 2007
Abstract of the Article
Development of a method for coordinate system transformations, which can be used within GIS applications for envi- ronmental information management, is described. Transformation of geographic (in degrees) into geodetic (in m) coor- dinates was investigated using the old Yugoslav coordinate system (still in use in the newly established states of Slo- venia, 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 meridian, as a function of latitude, was developed using a central difference scheme. Using the results obtained in such a way equa- tions 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 corresponding paral- lel. 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.
Pages 449 - 457
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