Acta Geodaetica et Geophysica Hungarica
Volume/Issue:
Volume 45: Issue 1
Making a georeferenced mosaic of historical map series using constrained polynomial fit
Author:
G. Molnár

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Pages:
24–30
Online Publication Date:
12 Mar 2010
Publication Date:
01 Mar 2010
Article Category:
Journal Article
DOI:
https://doi.org/10.1556/ageod.45.2010.1.5
Keywords:
constrained polynomial fit; First Military Survey; geocoding; map mosaic; rectification
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A method is presented in this paper for solving a practical problem: how to make georeferenced mosaic of a map series using ground control points and quadratic polynomial transformation for every individual map sheet, if we expect, that after georeferencing the edges of the transformed map sheets should fit together.To solve this problem we can use a constrained polynomial fit method. In this method we use least square adjustment to get the transformation parameters for every individual map sheets, and we define constrains, that the common edges of every two neighboring map sheet should transform similarly. Solving this equation we get the transformation parameters for every single map sheet. Using these parameters for transforming the map sheets, we get georeferenced maps, that automatically fit together in a GIS software.This method has been successfully applied for georeferencing 18 map sheets of the First Topographic Survey of the Habsburg Empire. The resulting georeferenced map has larger residual errors than the individually transformed map sheets, but in exchange for we get a seamless map mosaic, that is more accurate, than the graphically merged and transformed.

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Cover Acta Geodaetica et Geophysica Hungarica
Acta Geodaetica et Geophysica Hungarica
Print ISSN:
1217-8977
Online ISSN:
1587-1037

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Acta Geodaetica et Geophysica
Language English
Size B5
Year of
Foundation		 2013
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó Springer
Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 2213-5812 (Print)
ISSN 2213-5820 (Online)

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