Abstract
The article considers the topic about assessing the accuracy of the plan of Lviv in 1878, which was published by Artaria & Co in a separate sheet from the administrative map of the Austrian cartographer and engineer Karl Richter van Kummersberg. This cartographic work was compiled on the basis of the Second Military Topographic Survey conducted in the Austrian Empire during 1855-1863, and occupies an important place in the study of architectural and urban planning of Lviv in Austrian times, before the great construction changes of the XIX century. Analysis of the accuracy of the old plans of Lviv is an important aspect in the study of these works, which allows you to assess their geometric features and obtain valuable information about the methods of their creation and processing techniques. Thus, it makes it possible to compare the cartographic, documentary and semantic value of ancient plans. The accuracy assessment methodology is based on the transformation and geometric analysis of sets of identical points on the old plan and the reference. Sets of control points are used to bring two cartographic products into a common coordinate system. The Helmert transformation with four parameters is used for such transformation. Identical points should be distributed over the entire area, ideally evenly, so that the resulting transformation key has a global character. According to the transformation key, multiquadratic interpolation is performed to construct a continuous surface from discrete data. The results of the latter make it possible to graphically visualize the errors of the old plan in the form of displacement vectors, isolines of scale and rotation, which significantly speeds up and simplifies the study of the accuracy of the old plans. In addition, using the method of least squares a value that characterizes the positional accuracy of the ancient plan was obtained. All calculations and constructions were performed in the MapAnalyst software product. The presented technique can be used for similar research on other cartographic works, and the obtained numerical results and graphical visualizations - to compare old plans with each other.
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