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P. Vanicek and R. R. Steeves, “Transformation of Coordinates between Two Horizontal Geodetic Datum,” Journal of Geodesy, Vol. 70, No. 11, 1996, pp. 740-745.

has been cited by the following article:

  • TITLE: A New Regularized Solution to Ill-Posed Problem in Coordinate Transformation

    AUTHORS: Xuming Ge, Jicang Wu

    KEYWORDS: Bursa; Coordinate Transformation; Ill-Posed; Methodology

    JOURNAL NAME: International Journal of Geosciences, Vol.3 No.1, February 28, 2012

    ABSTRACT: Coordinates transformation is generally required in GPS applications. If the transformation parameters are solved with the known coordinates in a small area using the Bursa model, the precision of transformed coordinates is generally very poor. Since the translation parameters and rotation parameters are highly correlated in this case, a very large condition number of the coefficient matrix A exists in the linear system of equations. Regularization is required to reduce the effects caused by the intrinsic ill-conditioning of the problem and noises in the data, and to stabilize the solution. Based on advanced regularized methods, we propose a new regularized solution to the ill-posed coordinate transformation problem. Simulation numerical experiments of coordinate transformation are given to shed light on the relationship among different regularization approaches. The results indicate that the proposed new method can obtain a more reasonable resolution with higher precision and/or robustness.