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International Journal of Navigation and Observation - Volume 2015 2015, Article ID 346498, 15 pages -

Research Article

Norwegian Mapping Authority, Geodetic Institute, 3511 Hønefoss, Norway

Department of Mathematical Sciences and Technology, NMBU, 1432 Akershus, Norway

KTH Royal Institute of Technology, 100 44 Stockholm, Sweden

Department of Electronics and Telecommunications, NTNU, 7491 Trondheim, Norway

Received 19 September 2014; Revised 7 December 2014; Accepted 25 December 2014

Academic Editor: Aleksandar Dogandzic

Copyright © 2015 Mohammed Ouassou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper demonstrates that automatic selection of the right interpolation-smoothing method in a GNSS-based network real-time kinematic NRTK interpolation segment can improve the accuracy of the rover position estimates and also the processing time in the NRTK processing center. The methods discussed and investigated are inverse distance weighting IDW; bilinear and bicubic spline interpolation; kriging interpolation; thin-plate splines; and numerical approximation methods for spatial processes. The methods are implemented and tested using GNSS data from reference stations in the Norwegian network RTK service called CPOS. Data sets with an average baseline between reference stations of 60–70 km were selected. 12 prediction locations were used to analyze the performance of the interpolation methods by computing and comparing different measures of the goodness of fit such as the root mean square error RMSE, mean square error, and mean absolute error, and also the computation time was compared. Results of the tests show that ordinary kriging with the Matérn covariance function clearly provides the best results. The thin-plate spline provides the second best results of the methods selected and with the test data used.

Author: Mohammed Ouassou, Anna B. O. Jensen, Jon G. O. Gjevestad, and Oddgeir Kristiansen



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