TECHNICAL PAPERS
May 1, 2005

Evaluation Procedure for Coordinate Transformation

Publication: Journal of Surveying Engineering
Volume 131, Issue 2

Abstract

With the use of the global positioning system, World Geodetic System 1984 (WGS84) [or The International Terrestrial Reference Frame (ITRF)] has been widely accepted as a global geodetic reference system and adopted by many international and national organizations (e.g., the International Civil Aviation Organization and the International Maritime Organization). However, most existing maps are based on different local datums (i.e., UK OS36 and HK80 datums). The transformation of station coordinates between WGS84 and local datums is frequently required. Because of the distortions of the existing classical geodetic network, it is impossible to develop one transformation that is optimal for all cases. Various algorithms have been developed for the transformation between different reference frames. Therefore, the selection of a transformation for a specific geodetic network has to be evaluated case by case. In this paper, a simple procedure is proposed to evaluate the performance of a transformation, based on several predefined quality indicators, such as precision, invertability, uniqueness, conformality, and extensibility. As an example, the performances of three different transformations are evaluated for the transformation between the Ireland mapping datum (Ireland 1975) and the European Terrestrial Reference Frame 1989 (ETRF89), using the quality indicators proposed in this paper.

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Acknowledgments

This research was partially supported by Hong Kong RGC research grants: PolyU 5158/03E. I would like to thank the reviewers for their constructive comments and suggestions.

References

Appelbaum, L. T. (1982). “Geodetic datum transformation by multiple regression equations.” Proc., 3rd Int. Geodetic Symp. on Satellite Doppler Positioning, Physical Science Laboratory, New Mexico State Univ., Las Cruces, N.M., 207–223.
Featherstone, W. E., Galloway, D., Goulding, P., and Reit, B. G. (1999). “Transformation between Australian datums using a modified transverse mercator projection.” Cartography, 28(1), 19–31.
Fang, T., and Piegl, L. (1992). “Algorithm for Delaunay triangulation and convex hull computation using a sparse matrix.” Comput.-Aided Des., 24(8), 425–436.
Moore, T., and Smith, M. J. (1998). “Geodetic transformation Part 1.” Surv. Rev., 34(269).
NIMA Technical Rep. TR8350.2. (1997). “Department of Defence World Geodetic System 1984, Its definition and relationships with local geodetic systems.” 3rd Ed.
Ordnance Survey U.K. (1995). “A guide to coordinates system in Great Britain.”
Wells, D. E., and Vanicek, P. (1975). “Alignment of geodetic and satellite coordinate systems to average terrestrial systems.” Bull. Geod., 117, 241–257.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 131Issue 2May 2005
Pages: 43 - 49

History

Received: Feb 24, 2004
Accepted: Jun 23, 2004
Published online: May 1, 2005
Published in print: May 2005

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Associate Prof., Dept. of Land Surveying and Geoinformatics, Hong Kong Polytechnic Univ., Hong Kong. E-mail: [email protected]
Senior Research Fellow, Inst. of Engineering Surveying and Space Geodesy, Univ. of Nottingham, Nottingham NG7 2RD, UK. E-mail: [email protected]

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