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Journal of Applied Geodesy

Editor-in-Chief: Kahmen, Heribert / Rizos, Chris

CiteScore 2018: 1.61

SCImago Journal Rank (SJR) 2018: 0.532
Source Normalized Impact per Paper (SNIP) 2018: 1.064

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Volume 11, Issue 1


Projectivity, affine, similarity and euclidean coordinates transformation parameters from ITRF to EUREF in Turkey

Kutubuddin Ansari
  • Corresponding author
  • Department of Geomatics Engineering, Faculty of Engineering and Architecture, Izmir Katip Celebi University, 35620, Cigli, Izmir, Turkey
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/ Ozsen Corumluoglu
  • Department of Geomatics Engineering, Faculty of Engineering and Architecture, Izmir Katip Celebi University, 35620, Cigli, Izmir, Turkey
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Mevlut Yetkin
  • Department of Geomatics Engineering, Faculty of Engineering and Architecture, Izmir Katip Celebi University, 35620, Cigli, Izmir, Turkey
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Published Online: 2017-02-14 | DOI: https://doi.org/10.1515/jag-2016-0040


Today, in geodesy most practical applications is to use a datum to get three dimensional position of a particular point. The geodetic techniques generally provide time dependent coordinates in global datum. The difference between the global datum like international terrestrial reference frame (ITRF) to local datum like Europe fixed reference frame (EUREF) can be up to several centimeters due to different velocity rate of tectonic plates. To get high-precision measurements, there is an increasing need of time dependent transformations from the global level to local level. The present paper treats, this theoretical problem of geodesy by using mathematical dependency between two spatial coordinate systems whose common points are given in both systems. The paper describes four different (projective, affine, similarity and euclidean) modified methodologies for the transformation between global (ITRF) to local (EUREF) by using the Turkish permanent GPS network (TPGN) as an example. The time series from TPGN stations are used to review these transformations from ITRF 2008 to EUREF 2008. The transformation parameters in all cases shows that mostly transform coordinates depends on its counterparts (X to x and Y to y) and others coordinates have very less effect. Finally to show the validity of our model a comparative analysis with standard Bursa-Wolf and Molodensky-Badekas models has been presented. The test shows that our model error is equivalent to standard models, in this view the presented models are acceptable and can improve our understanding in coordinate transformation.

Keywords: Projectivity Transformation; Affine Transformation; Similarity Transformation; Euclidean Transformation; Turkish Permanent GPS Network


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About the article

Received: 2016-09-28

Accepted: 2016-11-28

Published Online: 2017-02-14

Published in Print: 2017-03-01

Citation Information: Journal of Applied Geodesy, Volume 11, Issue 1, Pages 53–61, ISSN (Online) 1862-9024, ISSN (Print) 1862-9016, DOI: https://doi.org/10.1515/jag-2016-0040.

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