International Journal of Geosciences, 2020, 11, 768-781 https://www.scirp.org/journal/ijg ISSN Online: 2156-8367 ISSN Print: 2156-8359 DOI: 10.4236/ijg.2020.1111039 Nov. 30, 2020 768 International Journal of Geosciences Modern Development for the Improvement of Accuracy of Nigerian Coordinate Transformation Process Using the Adapted NTv2 Model: The Critical Issues of the Mathematical Algorithm Lawrence Hart 1 , Kurotamuno Peace Jackson 1 , Francis Ifeanyi Okeke 2 1 Department of Surveying and Geomatics, Rivers State University, Port Harcourt, Nigeria 2 Department of Geoinformatics and Surveying, University of Nigeria, Enugu, Nigeria Abstract Changing coordinates using appropriate mathematical models from one ref- erence system to another may be influenced if the operation requires the change of datum. A set of transformation parameters has been adopted for Nigeria. However, the critical concern usually associated with the problem of transformation of coordinates is the issue of recoverability of the original values of transformed coordinates. The recursive effect of variables associated with spatial problems can be aptly modelled with an appropriate algorithm that set out a process to achieve a definite output. Consequently, the main thrust of this paper is to highlight the critical elements of the mathematical algorithm associated with the National Transformation Version 2 (NTv2) model adapted for the Nigerian Datum Transformation process. The adapted NTv2 model adopts the bi-linear interpolation approach and the covariance function obtained were used to generate transformation elements in latitude (Δφ p ) and longitude (Δλ p ) and corresponding accuracies at the lattice nodes. The mathematical algorithm of this adapted NTv2 model underscores the likely attainment of better and significant values and statistical indicator of the improved accuracy as the average shift values for latitude and longitude for any transformed points in Nigeria. This capability makes the mathemati- cal algorithm to be adaptable and fit for the purpose of the transformation process. The improvement in the positional accuracy is directly attributable to the application of the NTv2 model which provides a flexible and robust system of modelling any inherent systematic error in the national network. How to cite this paper: Hart, L., Jackson, K.P. and Okeke, F.I. (2020) Modern De- velopment for the Improvement of Accu- racy of Nigerian Coordinate Transforma- tion Process Using the Adapted NTv2 Mod- el: The Critical Issues of the Mathematical Algorithm. International Journal of Geos- ciences, 11, 768-781. https://doi.org/10.4236/ijg.2020.1111039 Received: August 24, 2020 Accepted: November 27, 2020 Published: November 30, 2020 Copyright © 2020 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access