Iterative approach of 3D datum transformation with a non-isotropic weight

Huaien Zeng1, Qinglin Yi2, Yue Wu2
1Hubei Key Laboratory of Construction and Management in Hydropower Engineering, China Three Gorges University, Yichang 443002, China
2Key Laboratory of Geological Hazards on Three Gorges Reservoir Area (China Three Gorges University), Ministry of Education, Yichang, 443002, China

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Aktuğ B (2012) Weakly multicollinear datum transformations. J Surv Eng 138(4):184–192

Akyilmaz O (2007) Total least squares solution of coordinate transformation. Surv Rev 39(303):68–80

Al-Sumaita JS, AL-Othmanb AK, Sykulski JK (2007) Application of pattern search method to power system valve-point economic load dispatch. Int J Electr Power Energy Syst 29(10):720–730

Burša M (1967) On the possibility of determining the rotation elements of geodetic reference systems on the basis of satellite observations. Stud Geophys Geod 11(4):390–396

Chen Y, Shen YZ, Liu DJ (2004) A simplified model of three dimensional-datum transformation adapted to big rotation angle. Geomat Inf Sci Wuhan Univ 29(12):1101–1105

Dermanis A (1998) Generalized inverses of nonlinear mappings and the nonlinear geodetic datum problem. J Geod 72(2):71–100

Dolan ED, Lewis RM, Torczon VJ (2003) On the local convergence of pattern search. SIAM J Optim 14(2):567–583. doi: 10.1137/S1052623400374495

El-Habiby MM, Gao Y, Sideris MG (2009) Comparison and analysis of non-linear least squares methods for 3-D coordinates transformation. Surv Rev 41(311):26–43

El-Mowafy A, Fashir H, Al-Marzooqi Y (2009) Improved coordinate transformation in Dubai using a new interpolation approach of coordinate differences. Surv Rev 41(311):71–85

Ge Y, Yuan Y, Jia N (2013) More efficient methods among commonly used robust estimation methods for GPS coordinate transformation. Surv Rev 45(330):229–234

Grafarend EW, Awange JL (2003) Nonlinear analysis of the three-dimensional datum transformation [conformal group C7(3)]. J Geod 77:66–76

Han JY (2010) Noniterative approach for solving the indirect problems of linear reference frame transformations. J Surv Eng 136(4):150–156

Hooke R, Jeeves TA (1961) Direct search solution of numerical and statistical problems. J ACM 8(2):212–229

Kashani I (2006) Application of generalized approach to datum transformation between local classical and satellite-based geodetic networks. Surv Rev 38(299):412–422

Leick A (2004) GPS satellite surveying, 3rd edn. Wiley, Hoboken

Leick A, van Gelder BHW (1975) On similarity transformations and geodetic network distortions based on Doppler satellite observations. Report No. 235, Dept. of Geodetic Science, Ohio State Univ., Columbus, Ohio

Lewis RM, Torczon V, Trosset MW (2000) Direct search methods: then and now. J Comput Appl Math 124(1–2):191–207

Neitzel F (2010) Generalization of total least-squares on example of weighted 2D similarity transformation. J Geod 84(12):751–762. doi: 10.1007/s00190-010-0408-0

Paláncz B, Awange JL, Völgyesi L (2013) Pareto optimality solution of the Gauss–Helmert model. Acta Geod Geophys 48:293–304

Shen YZ, Chen Y, Zheng DH (2006) A quaternion-based geodetic datum transformation algorithm. J Geod 80:233–239

Soler T, Snay RA (2004) Transforming positions and velocities between the International Terrestrial Reference Frame of 2000 and North American Datum of 1983. J Surv Eng 130(2):49–55

Soycan M, Soycan A (2008) Transformation of 3D GPS Cartesian coordinates to ED50 using polynomial fitting by robust re-weighting technique. Surv Rev 40(308):142–155

Torczon V (1997) On the convergence of pattern search algorithms. SIAM J Optim 7:1–25

Watson GA (2006) Computing Helmert transformations. J Comput Appl Math 197(2):387–394. doi: 10.1016/j.cam.2005.06.047

Zeng HE (2014) Planar coordinate transformation and its parameter estimation in the complex number field. Acta Geod Geophys 49(1):79–94

Zeng HE (2015) Analytical algorithm of weighted 3D datum transformation using the constraint of orthonormal matrix. Earth, Planets Space 67:105

Zeng HE, Huang SX (2008) A kind of direct search method adopted to solve 3D coordinate transformation parameters. Geomat Inf Sci Wuhan Univ 33(11):1118–1121

Zeng WX, Tao BZ (2003) Non-linear adjustment model of three-dimensional coordinate transformation. Geomat Inf Sci Wuhan Univ 28(5):566–568

Zeng HE, Yi QL (2010a) A new analytical solution of nonlinear geodetic datum transformation. In: Proceedings of the 18th international conference on geoinformatics. doi: 10.1109/GEOINFORMATICS.2010.5568048

Zeng HE, Yi QL (2010b) A solution to space resection based on pattern search method. In: Proceedings of the 18th international conference on geoinformatics. doi: 10.1109/GEOINFORMATICS.2010.5567847

Zeng HE, Yi QL (2011) Quaternion-based iterative solution of three-dimensional coordinate transformation problem. J Comput 6(7):1361–1368