Coordinate Transformation between Two Geodetic Datums of Taiwan by Least-Squares Collocation
Publication: Journal of Surveying Engineering
Volume 132, Issue 2
Abstract
Recently, the new Taiwan geodetic datum 1997 (TWD97) based on the Global Positioning System measurements has been established. Compared to the old geodetic datum, namely the Hu-Tzi-Shan datum, the TWD97 datum is more precisely defined. Since the TWD97 datum is a three-dimensional geocentric datum, while the Hu-Tzi-Shan datum is a locally defined horizontal datum and its triangulation points are deficient in the precise ellipsoidal height information, a three-dimensional coordinate transformation between both datums is therefore not appropriate. Moreover, there are the perceptible systematic errors in the triangulation networks in the Hu-Tzi-Shan datum. It is difficult to handle the systematic errors by ordinary datum transformation methods. In the paper, the technique of least-squares collocation is applied to the two-dimensional transformation from the Hu-Tzi-Shan datum to the TWD97 datum. By the present method, the systematic errors are predicted, and the coordinates of common points of both datums can be unchanged after the transformation. Our results show that the better transformation accuracy can be achieved by the least-squares collocation.
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References
Abusali, P. A. M., Schutz, B. E., Tapley, B. D., and Bevis, M. (1995). “Transformation between SLR/VLBI and WGS-84 reference frames.” Bull. Geod., 69(2), 61–72.
Ackermann, F. (1980). “Block adjustment with additional parameters.” Invited paper, XIVth Congress of Int. Society for Photogrammetry and Remote Sensing, Hamburg.
Benning, W. (1995). “Nachbarschaftstreue Restklaffenverteilung für Koordinatentransformationen.” Z. f. Vermessungswesen, 120(1), 16–25 (in German).
Dare, P. (1982). “Strength analysis of horizontal networks using strain.” MScE thesis, Department of Survey Science, Univ. of Toronto.
Denys, P. H., Cross, P. A., and Calvert, C. E. (1995). “EUREF GB92: SciNet92 to ETRS transformation redefinition.” Rep. on the Symp. IAG Subcomm. Euro. Ref. Frame (EUREF), E. Gubler and H. Hornik, eds., EUREF Publ. No., 4, München, 58–62.
Dewhurst, W. T. (1990). “NADCON: The application of minimum curvature-derived surfaces in the transformation of positional data from the North American datum of 1927 to the North American datum of 1983.” NOAA Technical memo. NOS NGS-50, Rockville, Md.
Eeg, J., and Krarup, T. (1973). “Integrated geodesy.” Internal Rep. No. 7, The Danish Geodetic Institute, Copenhagen.
El-Fiky, G. S., Kato, T., and Fujii, Y. (1997). “Distribution of vertical crustal movement rates in the Tohoku district, Japan, predicted by least-squares collocation.” J. Geodesy, Berlin, 71(7), 432–442.
Fortes, L. P. S. (2002). “Optimising the use of GPS multi-reference stations for kinematic positioning.” Ph.D. thesis, UCGE Rep. 20158, Calgary.
Kraus, F., and Mikhail, E. M. (1972). “Linear least-squares interpolation.” XIIth Congress of Int. Society for Photogrammetry and Remote Sensing, Ottawa.
Lelgemann, D., and Xu, A. (1991). “Zur Helmerttransformation von terrestrischen und GPS-Netzen.” Z. f. Vermessungswesen, 116(1), 28–36 (in German).
Lugoe, F. N. (1987). “Some experiences with the strain analysis of rigorously adjusted densification networks.” Manuscr. Geod., 12(2), 75–85.
Mikhail, E. M., and Ackermann, F. (1976). Observation and least squares, Harper and Row, New York, 418–421.
Moritz, H. (1972). “Interpolation and prediction of gravity and their accuracy.” Rep. 24, Dept. of Geod. Science, OSU, Columbus, Ohio
Moritz, H. (1980). Advanced physical geodesy, H. Wichmann Verlag, Karlsruhe, 111–114.
NGA Department of Defense. (2000). World Geodetic System 1984, NIMA, TR8350.2, 3rd Ed.
Niemeier, W. (1992). “Zur Nutzung von GPS-Meßergebnissen in Netzen der Landes- und Ingenieurvermessung.” Z. f. Vermessungswesen, 117(8/9), 542–556 (in German).
Raquet, J. F. (1998). “Development of a method for kinematic GPS carrier-phase ambiguity resolution using multiple reference receivers.” Ph.D. thesis, UCGE Rep. 20116, Calgary.
Shrestha, R. L. (1987). “Coordinates transformation from NAD 27 to NAD 83.” Surv. Mapping, 47(4), 295–300.
Stopar, B., and Kuhar, M. (2000). “National report of Slovenia.” Rep. on the Symposium IAG Subcomm. Europe (EUREF), J A. Torres and H. Hornik, eds., EUREF Publ. No. 9, 301–304.
Torge, W. (2001). Geodesy, W. de Gruyter, Berlin, 234–235.
Tscherning, C. C., and Rapp, R. H. (1974). “Closed covariance expressions for gravity anomalies, geoid undulation, and deflections of the vertical implied by anomaly degree variance models.” Rep. 208, Dept. Geod. Science, OSU, Columbus, Ohio.
Vaníček, P., and Steeves, R. R. (1996). “Transformation of coordinates between two horizontal geodetic datums.” J. Geodesy, Berlin, 70(11), 740–745.
Vaníček, P., and Wells, D. E. (1974). “Positioning of horizontal geodetic datums.” Can. Surveyor, 28(5), 531–538.
Wolf, H. (1979). Ausgleichungsrechnung II, F. Dümmler Verlage, Bonn, 4.
Yang, M., Tseng, C. L., Shih, T. Y., and Chang, S. L. (1999). “A study of methods for geodetic datum transformation between TWD67 and TWD97.” J. Surv. Eng., Chinese Soc. Surv. Eng., 41(3), 27–49 (in Chinese).
You, R. J. (1984). “A study on precision of fundamental triangulation networks of Taiwan.” MSc thesis, Natl. Cheng Kung Univ., Tainan (in Chinese).
Yu, S. B., Chen, H. Y., and Kuo, L. C. (1997). “Velocity field of GPS stations in Taiwan area.” Tectonophysics, 274(1–3), 41–59.
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Published In
Journal of Surveying Engineering
Volume 132 • Issue 2 • May 2006
Pages: 64 - 70
Copyright
© 2006 ASCE.
History
Received: Dec 2, 2003
Accepted: Mar 1, 2005
Published online: May 1, 2006
Published in print: May 2006
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