1 Yakimova О.P.
2 Teterin T.A.

P.G. Demidov Yaroslavl State University

Line generalization is an essential data processing operation in geographic information systems and cartography. Many point reduction and simplification algorithms have been developed for this purpose. In 2020 a multi-scale representation model of polyline based on a Fourier descriptor was proposed. The authors present a comparative study of such an algorithm and several simplification ones (Douglas – Peucker, Visvalingham – Whyatt, Li – Openshaw, sleeve-fitting), with different criteria for vertex elimination. A brief description of each method involved in the comparison and a more detailed one for that based on the Fourier descriptor is provided. Generalization quality evaluations characterizing the accuracy of the location and geographical plausibility of the line are discussed. Three coastlines of 1 : 1 000 000 scale with different spatial features are used as the initial data for the experiments. The estimates are performed through a quantitative assessment of the results, utilizing shape distortion measures and horizontal position displacement ones. The results of comparing algorithms based on the selected characteristics and operating time are presented. The given conclusions can be used to select a geometric simplification algorithm for multiscale mapping.
This work was funded by the Demidov Yaroslavl State University (project No. P2-GM3-2021)
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Yakimova О.P., 
Teterin T.A., 
(2022) A comparative study of an algorithm based on the Fourier descriptor with those on geometric criteria. Geodesy and cartography = Geodezia i Kartografia, 83(12), pp. 22-30. (In Russian). DOI: 10.22389/0016-7126-2022-990-12-22-30
Publication History
Received: 19.08.2022
Accepted: 26.12.2022
Published: 20.01.2023


2022 December DOI: