This article proposes a technique for transforming coordinates from an archival coordinate system into an active one using affine transformation using the finite element method in the QGIS geoinformation environment using a transformation field in the NTv2 format. The purpose of the work is to develop a method of transforming coordinates from the archival system into the one operating in Ukraine using the GRID model of the transformation field in the form of NTv2 format and QGIS software using the example of the Varash-42 coordinate system, derived from CS-42, and LCS-56, derived from UCS-2000. To implement the technique, a scheme for transforming point coordinates is defined. The technique of integrating the transformation field into the QGIS geoinformation environment was researched and implemented. The authors investigated the transformation of coordinates on the territory of the city of Varash, Rivne region, and determined the accuracy of the obtained results, which is within the limits of tolerance. According to the results of the study, it was established that the average squared error of a unit of weight is 0.024 m. Since the control coordinates were obtained with an accuracy within tolerance – up to 0.05 m; it was concluded that the coordinates obtained with the help of the NTv2 local transformation field for the territory of Varash are suitable for their further use. The developed technique makes it possible to transform coordinates from archival coordinate systems derived from UCS-2000 to use processed geospatial data in topography-geodetic, cartographic, land management, land surveying and other spheres of activity, as well as to ensure compliance with one of the requirements for compatibility and interoperability of geospatial data: a coordinate system in which coordinate descriptions of geospatial objects are provided.
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