Georeferencing of Multi-Sheet Maps Based on Least Squares with Constraints—First Military Mapping Survey Maps in the Area of Czechia

The article deals with the possibility of georeferencing old multi-sheet map works. Various approaches to problem solving and a workable method for using the least squares method with the conditions of the adjacency of map sheets are discussed. To increase reliability, the IRLS robust statistical me...

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Bibliographic Details
Published inApplied sciences Vol. 11; no. 1; p. 299
Main Authors Janata, Tomáš, Cajthaml, Jiří
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2021
Subjects
first military mapping survey
georeferencing
Interpolation
IRLS
Mapping
Maximum likelihood method
polynomial transformation
Statistical methods
Topography
France
Bohemia
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Summary:The article deals with the possibility of georeferencing old multi-sheet map works. Various approaches to problem solving and a workable method for using the least squares method with the conditions of the adjacency of map sheets are discussed. To increase reliability, the IRLS robust statistical method is used, which uses iterative weighting of individual measurements based on Huber’s M-estimate. The method is applied to the First Military Mapping of the Habsburg monarchy as a typical representative of old topographic maps, which are not easy to georeference due to unknown parameters of the used cartographic projection. A georeferenced layer of the above mentioned mapping is available on the Mapire.eu portal as well. A basic analysis of the comparison of georeferencing results using our method and the mentioned portal is performed.
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ISSN:2076-3417
2076-3417
DOI:10.3390/app11010299