The transition from the cartographic to the geoinformation approach to the production of topographic maps determines the transition from cartometric to analytical methods in GIS. Authors researched the peculiarities of calculation the geodetic area of a feature on the reference ellipsoid by Simpson's method.
Peculiarities of calculating feature's geodetic area are determined by developing the special function in PostgreSQL 12.0. The programmed special function for calculating the geodetic areas of features depends on the number of segments involved in Simpson's method because it is affected by the specified accuracy of determining these areas.
Karpinskyi Yu. & Kin D. (2020). Research of the transition from cartometric to analytical operations. Publishing House of Lviv Polytechnic National University. DOI: 10.13140/RG.2.2.34353.40806.
Karney C. (2013). Algorithms for geodesics. Journal of Geodesy. Vol. 87. P. 43-55. DOI 10.1007/s00190-012-0578-z
Karney C. (2011). Geodesics on an ellipsoid of revolution. Tech rep, SRI International. http://arxiv.org/abs/1102.1215v1
Chamberlain R. & Duquette W. (2007). Some Algorithms for Polygons on a Sphere. National Aeronautics and Space Administration. http://hdl.handle.net/2014/41271
ObidenkoV. (2018). Definition of metric parameters of the Russian Federation territory by means of GIS. Vestnik SGGA, Vol. 2(23). P. 18-33.
Kuźma M. & Pędzich P. (2012). Application of methods for area calculation of geodesic polygons on Polish administrative units. Geodesy and Cartography. Vol. 61. No. 2, 2012. P. 105 – 115. DOI No 10.2478/v10277-012-0025-6
Baranovsky V., Karpinskyi Yu., Lyashchenko A. (2009). Topographic, geodetic and cartographic support of the state land cadastre. Determination of areas of territories. K.: Research Institute of Geodesy and Cartography. P. 92.
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