Year 2017, Volume 17, Issue 3, Pages 1019 - 1029 2017-12-29

Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey

Mevlut GULLU, [1] , Mustafa YILMAZ [2] , Tamer BAYBURA [3]

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In Turkey, the national reference frame was changed for geodetic applications in parallel with the increasing use of Global Navigation Satellite System technology. Due to the reference frame change, the three-dimensional (3D) datum transformation has become compulsory between ED50 and WGS84. Several 3D datum transformation algorithms have been developed for geodetic applications. The well-known technique is the Least-Squares (LS) method. In this study, alternative 3D datum transformation approaches (including the Total Least-Squares (TLS) and the Weighted TLS (WTLS) methods) were compared with the LS method over a test area. The results showed that the WTLS transformed 3D coordinates with better accuracy than the LS and TLS methods.
3D datum transformation, Least-Squares (LS), Total Least-Squares (TLS), Weighted Total Least-Squares (WTLS).
  • Akyilmaz, O., 2007. Total least squares solution of coordinate transformation. Surv Rev, 39(303), 68-80.
  • Ayhan, ME., Demir, C., Lenk, O., Kilicoglu, A., Aktug, B., Acıkgoz, M., Fırat, O., Sengun, Y.S., Cingoz, A., Gurdal, M.A., Kurt, A., Ocak, M., Turkezer, A., Yıldız, H., Bayazıt, N., Ata, M., Caglar, Y., Ozerkan, A., 2002. Turkish National Fundamental GPS Network-1999A (TNGFN-99A). J Mapp (Spec Issue) 16, 1-73 (in Turkish).
  • Aydin, C., 2016. How to solve errors-in-variables model for coordinate transformations in a classical adjustment way?. J Geod Geoinf, 3, 49-57 (in Turkish).
  • Caglar, Y., 2005. National report of Turkey - 2005. Symposium of the IAG Subcommission for Europe (EUREF). Vienna. Austria.
  • Fang, X., 2011. Weighted Total Least Squares Solutions for Applications in Geodesy. PhD dissertation. Leibniz University. Hannover. Germany.
  • Fang, X., 2014. A total least squares solution for geodetic datum transformations. Acta Geod Geophys 49(2): 189-207.
  • Felus, Y.A., 2004. Application of Total Least Squares for spatial point process analysis. J Surv Eng, 130, 126-133.
  • Felus, Y.A. and Schaffrin, B., 2005. Performing similarity transformations using the errors-in-variables-model. ASPRS 2005 Annual Conference, “Geospatial Goes Global: From Your Neighborhood to the Whole Planet”, March 7-11, 2005, Baltimore, Maryland.
  • GCM, General Command of Mapping (2014) Turkish National Fundamental GPS Network.
  • Ghilani, C.D. and Wolf, P.R., 2006. Adjustment Computations: Spatial Data Analysis, 4th edn. Wiley, Hoboken.
  • Golub, G.H. and Van Loan C.F., 1980. An analysis of the Total Least Squares problem. SIAM J Numer Anal, 17, 883-893.
  • Gullu, M., Yilmaz, I., Erdogan, O.A., 2003. Geodetic Network Design. Afyon Kocatepe University Publications, Afyonkarahisar, (in Turkish).
  • Gullu, M., 2016. Soft computing model in geodetic coordinate transformation. AKU J Sci Eng, 16, 655-659, (in Turkish).
  • Jazaeri, S., Amiri-Simkooei, A.R., Sharifi, M.A., 2013. Iterative algorithm for weighted total least squares adjustment. Surv Rev, 46, 19-27. Lan, D., Hanwei, Z., Quingyong, Z., Ruopu, W., 2012. Correlation of coordinate transformation parameters. Geod Geodyn, 3, 34-38.
  • Li, B., Shen, Y., Zhang, X., Li, C., Lou, L., 2013. Seamless multivariate affine error-in-variables transformation and its application to map rectification. Int J Geogr Inf Sci , 27, 1572-1592.
  • Markovsky, I. and Van Huffel, S., 2005. High-performance numerical algorithms and software for structured total least squares. J Comput Appl Math, 180, 311-331.
  • Markovsky, I. and Van Huffel, S., 2006. On weighted structured total least squares. In: Lirkov I, Margenov S, Waśniewski J (eds) Large-Scale Scientific Computing. Lecture Notes in Computer Science, Vol. 3743. Springer, Berlin, Heidelberg, pp. 695-702.
  • Mahboub, V., 2012. On weighted total least-squares for geodetic transformations. J Geod, 86, 359-367.
  • Mihajlović, D. and Cvijetinović, Ž., 2016. Weighted coordinate transformation formulated by standard least-squares theory. Surv Rev. doi: 10.1080/00396265.2016.1173329.
  • NGA, National Geospatial-Intelligence Agency, 2002. Addendum to NIMA TR 8350.2: Implementation of the World Geodetic System 1984 (WGS 84) Reference Frame G1150.
  • Pearlman, M., Altamimi, Z., Beck, N., Forsberg, R., Gurtner, W., Kenyon, S., Behrend, D., Lemoine, F.G., Ma, C., Noll, C.E., Pavlis, E.C., Malkin, Z., Moore, A.W., Webb, F.H., Neilan, R.E., Ries, .JC, Rothacher, M., Willis, P., 2006. Global Geodetic Observing System-considerations for the geodetic network infrastructure. Geomatica 60(2): 193-204.
  • Ren, Y., Lin, J., Zhu, J., Sun, B., Ye, S., 2015. Coordinate transformation uncertainly analysis in large-scale metrology. IEEE Trans Instrum Meas, 64, 2380-2388.
  • Schaffrin, B. and Feuls, Y., 2008. On the multivariate total least-squares approach to empirical coordinate transformations. Three algorithms. J Geod, 82, 272-283.
  • Schwieger, V., Lilje, M., Sarib, R., 2009. GNSS CORS - Reference Frames and Services. 7th FIG Regional Conference Spatial Data Serving People: Land Governance and the Environment – Building the Capacity, 19-22 October 2009, Hanoi, Vietnam.
  • Sisman, Y., 2014. Coordinate transformation of cadastral maps using different adjustment methods. J Chin Inst Eng, 37, 869-882.
  • Teunissen, P.J.G., 1988. The non-linear 2D symmetric Helmert transformation: an exact non-linear least-squares solution. Bull Geod, 62, 1-15.
  • Tong, X.H., Jin, Y., Li, L., 2011. An improved weighted total least squares method with applications in linear fitting and coordinate transformation. J Surv Eng, 137, 120-128.
  • Turgut, B., 2010. A back-propagation artificial neural network approach for three-dimensional coordinate transformation. Sci Res Essays, 5, 3330-3335.
  • Van Huffel, S. and Vandewalle, J., 1991. The Total Least Squares Problem: Computational Aspects and Analysis. SIAM, Philadelphia.
  • Van Huffel, S., 1997. Recent advances in total least squares techniques and errors-in-variables modelling. Proceedings of the Second International Workshop on TLS and EIV, SIAM, Philadelphia.
  • Yilmaz, M. and Gullu, M., 2014. A comparative study for the estimation of geodetic point velocity by artificial neural networks. J Earth Syst Sci, 123, 791-808.
  • Wang, B., Li, J., Liu, C., 2016. A robust weighted total least squares algorithm and its geodetic applications. Stud Geophys Geod, 60, 177-194.
  • Zhao, J., 2016. Efficient weighted total least-squares solution for partial errors-in-variables model. Surv Rev. doi: 10.1080/00396265.2016.1180753.
Primary Language en
Journal Section Articles
Authors

Author: Mevlut GULLU,

Author: Mustafa YILMAZ

Author: Tamer BAYBURA

Bibtex @research article { akufemubid535340, journal = {Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi}, issn = {}, eissn = {2149-3367}, address = {Afyon Kocatepe University}, year = {2017}, volume = {17}, pages = {1019 - 1029}, doi = {}, title = {Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey}, key = {cite}, author = {GULLU,, Mevlut and YILMAZ, Mustafa and BAYBURA, Tamer} }
APA GULLU,, M , YILMAZ, M , BAYBURA, T . (2017). Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 17 (3), 1019-1029. Retrieved from http://dergipark.org.tr/akufemubid/issue/43716/535340
MLA GULLU,, M , YILMAZ, M , BAYBURA, T . "Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17 (2017): 1019-1029 <http://dergipark.org.tr/akufemubid/issue/43716/535340>
Chicago GULLU,, M , YILMAZ, M , BAYBURA, T . "Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17 (2017): 1019-1029
RIS TY - JOUR T1 - Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey AU - Mevlut GULLU, , Mustafa YILMAZ , Tamer BAYBURA Y1 - 2017 PY - 2017 N1 - DO - T2 - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi JF - Journal JO - JOR SP - 1019 EP - 1029 VL - 17 IS - 3 SN - -2149-3367 M3 - UR - Y2 - 2017 ER -
EndNote %0 Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey %A Mevlut GULLU, , Mustafa YILMAZ , Tamer BAYBURA %T Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey %D 2017 %J Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi %P -2149-3367 %V 17 %N 3 %R %U
ISNAD GULLU,, Mevlut , YILMAZ, Mustafa , BAYBURA, Tamer . "Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17 / 3 (December 2017): 1019-1029.