Cartometric investigation of the accuracy plan of Lviv in 1894

Lviv Polytechnic National University; State Research and Production Enterprise "Kartografiya"
Department of Cartography and Geospatial Modeling, Institute of Geodesy, Lviv Polytechnic National University

Ancient maps and plans are important sources of information for multifaceted knowledge of the past. In many studies, the accuracy parameters of spatial data are in demand. The purpose of our work is to study the geometric accuracy of the Lviv plan 1894 by Józef Khovanec. The methodology for studying the accuracy assessment is based on the transformation and geometric analysis of sets of identical points in the ancient plan and the modern reference one. For such a transformation, the Helmert transformation with four parameters and multiquadratic interpolation methods are used. The obtained results make it possible to graphically visualize the inaccuracies of the old plan in the form of displacement vectors, scale and rotation isolines, which clearly territorially diversify the distortions of the cartographic image. Using the method of least squares, a value was obtained that characterizes the positional accuracy of the ancient plan. All calculations and illustrations were made in the MapAnalyst software package, which specializes in the cartometric analysis of old maps. The results of cartometric analysis are influenced by a number of different factors, the decisive ones for the study were the following: the quality of the original; selection of a set of identical items; interpolation technique. When choosing identical points, the main attention is paid to their uniform distribution over the entire area of the plan at a constant position in time. The results obtained represent only one of the possible mathematical models built on the basis of the input data. However, we consider the achieved results to be valid. The processed technique significantly speeds up and simplifies the study of the accuracy of old plans and can be used for similar studies of other cartographic works, and the obtained numerical results and graphic visualizations can be used to compare old plans with each other.

  1. Gavrilova, E. Map of the city of Lviv and its development. L.: LPI, 1956. 80 p. (in Russian)
  2. Capral, М. (2014). Atlas of Ukrainian historical cities. Lviv. (V.1). For science. ed. M. Capral. Kyiv: Cartography Research Institute, 95p. + 25 original maps, 11 reconstruction maps, 6 types of the city. (in Ukrainian)
  3. Sossa, R., Kryshtalovych, U., & Shyshka, O. (2016). Cartographic editions of Lviv: Exhibition catalog. Lviv, December 6-8, 2016. According to the general ed. R. Sossa. L: Lviv Polytechnic Publishing House, 28 p. (in Ukrainian)
  4. Linda, S. M., Oleshko, O. P., & Ivanochko, U.I. (2004). Study of the territorial development of Lviv during the Austrian period (1772-1918) based on cartographic material. Bulletin of the Lviv Polytechnic National University, 2004.  № 505: Architecture, 127-141. (in Ukrainian)
  5. Shyshka, O. V. (2011). Mapping of Lviv (1582-1770). Bulletin of geodesy and cartography, 4, 42-47. (in Ukrainian)
  6. Shyshka, O. V. (2011). Mapping of Lviv in the pre-Austrian period (1772-1918). Bulletin of geodesy and cartography, 6, 42-46. (in Ukrainian)
  7. Shyshka, O. V. (2012). Mapping of Lviv (1918 – 1944). Bulletin of geodesy and cartography, 1, 44-47. (in Ukrainian)
  8. Beineke, D. (2000). Verfahren zur analysis Genauigkeitsanalyse fur AltKarten, Munchen.
  9. Czerner, O. (1997). Lwów na dawnej rycinie i planie. Wrocław, Warszawa, Kraków.
  10. Jenny, B.  MapAnalyst - A digital tool for the analysis of the planimetric accuracy of historical maps. e-Perimetron, 1-3, 2006, p. 239–245.
  11. Jenny, B., Weber, A., & Hurni, L. (2007). Visualizing the planimetric accuracy of historical maps with MapAnalyst. Cartographica: The International Journal for Geographic Information and Geovisualization, 42(1), 89-94.
  12. Holubinka, Yu., Nikulishyn, V., Sossa, R., & Yurkiv, M. (2018). Investigation of the accuracy of plans of Lviv in 1844 and 1932. Geodesy, cartography and aerial photography, 88, 33-46.
  13. Manzano-Agugliaro, F., Martinez-Garcia, J., & San-Antonio-Gomez, C. (2012). GIS analysis of the accuracy of Tomas Lopez’s historical cartography in the Canary Islands (1742-1746). Scientific Research and Essays, 7(1).
  14. Ostrowski, J. Praca Henryka Merczynga z 1913 roku o radziwiłłowskiej mapie Litwy i jej wpływ na polskie badania dokładności dawnych map (w setną rocznicę publikacji). Dawne mapy jako żródła w badaniach geograficznych i historycznych. (Z Dziejów Kartografii. V 17, pp.35-52). Warszawa. 2014.
  15. Petkiewicz, S. (1995). Analiza dokładności kilku map z XVII, XVIII I XIX wieku obejmującyh Polske w dawnich granicach. Prace i studia geograficzne, 17, 103-109.
  16. Sossa, R. (2020). Lviv mapping in the Soviet-period. Geodesy, Cartography and Aerial Photograph,. 91, 59-69.
  17. Szeliga, J. (1993). Metody i stan dokładnościowych badań dawnych map z obszaru Polskie. Dorobek polskiej historii kartografii, 6, 51-67.
  18. Zimová, R., Pešt’ák, Ja., & Veverka, B. (2006). Positional Accuracy of Old Maps. Historical Military Mapping of Czech Lands. GIM International. Retrieved from: