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Federal Office of Topography swisstopo

Transformations (3D / position)

For handling spatial data, it is important to have an easy and accurate transition between the various reference systems and frames. swisstopo offers suitable transformation methods for all applications, either through online services over the Internet or commercially available geodetic software.

Coordinate transformation ETRFyy <-> CHTRFyy

The reference systems ETRS89 and CHTRS95 are identical for the epoch t 0 = 1993.0. The two reference frames may therefore be regarded as identical for applications requiring reduced accuracy (ETRFyy ~ CHTRFyy). For applications requiring higher accuracy, a transformation in time is necessary. For this purpose, the kinematik model CHKM95 is applied, which takes into account the temporal changes of the coordinates and heights due to the tectonic movements in the Alpine region.

Coordinate transformation CHTRFyy <-> LV95

The three-dimensional Cartesian reference systems CHTRS95 and CH1903+ can be transformed exactly from one to the other with a simple translation (3 shifts). This method may also be applied without reservations to coordinates from the reference frames CHTRFyy and LV95. Only the different ellipsoid dimensions and the map projections must still be taken into consideration.
3D translation
(X, Y, Z) LV95 = (X, Y, Z) CHTRFyy + ( -674.374m, -15.056m, -405.346m)

Coordinate transformation LV95 <-> LV03

An exact transformation is not possible because of the large distortions (up to 1.6 m). The distortion may be approximated with an affine transformation using finite elements. An approximation to LV03 with an accuracy of a few cm in the Central Plateau and below 1 dm in the Alps can be calculated with the program FINELTRA using the corresponding parameters from the cadastral surveying authorities.
Diferences between LV95 and LV03
Diferences between LV95 and LV03
Comments about this page: Geodesy
Last updated: 16.08.2010

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