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Vol 16, Issue 1, 2024
Pages: 677 - 684
Review paper
Geodesy Editor: Gordana Jakovljević
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Published: 12.06.2024. Review paper Geodesy Editor: Gordana Jakovljević

POSSIBILITIES OF TRANSFORMING RECTANGULAR 3D GEODETIC INTO ELLIPSOIDAL COORDINATES USING NEURONAL NETWORKS

By
Tanja Đukanović ,
Tanja Đukanović
Contact Tanja Đukanović

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Banja Luka, Bosnia and Herzegovina

Slavko Vasiljević ,
Slavko Vasiljević

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Banja Luka, Bosnia and Herzegovina

Dragana Marković ,
Dragana Marković

Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia

Slavica Ilijević
Slavica Ilijević

Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia

Abstract

The transition from ellipsoidal geodetic coordinates to rectangular 3D coordinates is quite simple, while the reverse procedure is somehow more complex due to the mathematical relationship between the ellipsoidal width and 3D coordinates. Until now, several methods for solving this problem have been defined and described in geodetic literature. In this paper, the possibility of applying a backpropagation algorithm based on a multilayer perceptron (Multilayer Perceptron – MLP) neural network for the transformation of rectangular 3D geodetic into ellipsoidal coordinates is analyzed. The applied MLP model is based on Bayesian regularization (BR). The adequacy of the model was verified by a robustness test and a cross-validation test. Based on the obtained results, it was concluded that the MLP neural network can be used for the transformation from rectangular 3D to ellipsoidal coordinates. Future research should analyze the possibility of applying this procedure to solve the problem of data transformation.

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