Datum transformation by Gauss projection of the ellipsoid onto the sphere and bilinear function of complex variable: An application to ETRS89–ED50

摘要: In this paper a simple method for accurate transformation of geodetic coordinates is presented. The process uses the regional network points allocated in both systems researching only two-dimensional problem (longitude and latitude). Basically, any point P consists to determine first three vertexes nearest such as located inside triangle. Computing separately, these are projected from ellipsoid onto Gauss sphere tangent along parallel. Given that variables isometric on sphere, since have been considered, it can find closed way bilinear complex variable which applies triangle study other. Starting here, image obtained projecting corresponding their system, applying later other computing finally inverse projects second ellipsoid. This procedure achieves higher accuracy than matrix spatial methods seven-parameters, could be considered same order based distortion analysis. However, besides being simpler, presented provides better results there where reference not very dense.