Skip to main content

Advertisement

Log in

Performance evaluation of artificial neural networks for planimetric coordinate transformation—a case study, Ghana

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Two national horizontal geodetic datums, namely, the Accra and Leigon datum, have been the only available datum used in Ghana. These two datums are non-geocentric and were established based on astro-geodetic observations. Relating these different geodetic datums mostly involves the use of conformal transformation techniques which could produce results that are not very often satisfactory for certain geodetic, surveying and mapping purposes. This has been ascribed to the incapability of the conformal models to absorb more of the heterogeneous and local character of deformations existing within the local geodetic networks. Presently, application of new approaches such as artificial neural network (ANN) is highly recommended. Whereas the ANN has been gaining much popularity to solving coordinate transformation-related problems in recent times, the existing researches carried out in Ghana have shown that only three-dimensional conformal transformation methods have been utilized. To the best of our knowledge, plane coordinate transformation between the two local geodetic datums in Ghana has not been investigated. In this paper, an attempt has been made to explore the plane coordinate transformation performance of two different ANN approaches (backpropagation neural network (BPNN) and radial basis function neural network (RBFNN)) compared with two different traditional techniques (six- and four-parameter models) in the Ghana national geodetic reference network. The results revealed that transforming plane coordinates from Leigon to Accra datum, the RBFNN was better than the BPNN and traditional techniques. Transforming from Accra to Leigon datum, both the BPNN and RBFNN produced closely related results and were better than the traditional methods. Therefore, this study will create the opportunity for Ghana to recognize the significance and strength of the ANN technology in solving coordinate transformation problems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Ayer J (2008) Transformation models and procedures for framework integration of Ghana geodetic network. The Ghana Surveyor 1(2):52–58

    Google Scholar 

  • Ayer J, Fosu C (2008) Map coordinates referencing and the use of GPS datasets in Ghana. J Sci Tech 28(1):116–127

    Google Scholar 

  • Ayer J, Tiennah T (2008) Datum transformation by the iterative solution of the abridging inverse Molodensky formulae. The Ghana Surveyor 1(2):59–66

    Google Scholar 

  • Baabereyir A (2009) Urban environmental problems in Ghana: case study of social and environmental injustice in solid waste management in Accra and Sekondi-Takoradi. Thesis submitted to the Department of Geography, University of Nottingham for the Degree of Doctor of Philosophy, UK

  • Baiocchi V, Keti L, Gabor T (2011) Estimation of abridging Molodensky parameters to transform from old Italian reference systems to modern ones. Geophys Res Abstracts 13:10461

    Google Scholar 

  • Bao H, Zhao D, Fu Z, Zhu J, Gao Z (2011) Application of genetic-algorithm improved BP neural network in automated deformation monitoring. Seventh International Conference on Natural Computation, Shanghai-China. IEEE. doi:10.1109/ICNC.2011.6022149

    Google Scholar 

  • Barsi A (2001) Performing coordinate transformation by artificial neural network. AVN 4:134–137

    Google Scholar 

  • Bašić T (2006) Jedinstveni transformacijski model i novi model geoida Republike Hrvatske. Izvješće o znanstveno-stručnim projektima. State Geodetic Administration, Zagreb (in Croatian)

    Google Scholar 

  • Deyfrus G (2005) Neural networks: methodology and applications. Springer-Verlag, Berlin

    Google Scholar 

  • Du S, Zhang J, Deng Z, Li J (2014a) A new approach of geological disasters forecasting using meteorological factors based on genetic algorithm optimized BP neural network. Elektronika IR Elektrotechnika 20(4):57–62

    Article  Google Scholar 

  • Du S, Zhang J, Deng Z, Li J (2014b) A neural network based intelligent method for mine slope surface deformation prediction considering the meteorological factors. TELKOMNIKA Indonesian J Elect Eng 12(4):2882–2889

    Google Scholar 

  • Dzidefo A (2011) Determination of transformation parameters between the World Geodetic System 1984 and the Ghana geodetic network. Master’s Thesis, Department of Civil and Geomatic Engineering, KNUST, Kumasi, Ghana

  • 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

    Article  Google Scholar 

  • Fernandez-Redondo M, Torres-Sospedra J, Hernández-Espinosa C (2006) Gradient descent and radial basis functions. Intelligent Computing 4113:391–396

    Google Scholar 

  • Fu B, Liu X (2014) Application of artificial neural network in GPS height transformation. Appl Mech Mater 501-504:2162–2165

    Article  Google Scholar 

  • Gao CY, Cui XM, Hong XQ (2014) Study on the applications of neural networks for processing deformation monitoring data. Appl Mech and Mater 501-504:2149–2153

    Article  Google Scholar 

  • Ghilani C (2010) Adjustment computations: spatial data analysis. Wiley, New York, pp. 464–470

    Google Scholar 

  • Gledan AJ, Azzeidani AO (2014) ELD79-LGD2006 transformation techniques implementation and accuracy comparison in Tripoli Area, Libya. Int J Civil, Archit, Struct Constr Eng 8(3):251–254

    Google Scholar 

  • Gope D, Gope PC, Thakur A, Yadav A (2015) Application of artificial neural network for predicting crack growth direction in multiple cracks geometry. App Soft Comput 30:514–528

    Article  Google Scholar 

  • Grgic M, Varga M, Basic T (2015) Empirical research of interpolation methods in distortion modelling for the coordinate transformation between local and global geodetic datums. J Surv Eng 142(2):05015004-1–05015004-9

    Google Scholar 

  • Gullu M (2010) Coordinate transformation by radial basis function neural network. Sci Res Essays 5(20):3141–3146

    Google Scholar 

  • Gullu M, Yilmaz M, Yilmaz I, Turgut B (2011) Datum transformation by artificial neural networks for geographic information systems applications. International Symposium on Environmental Protection and Planning: Geographic Information Systems (GIS) and Remote Sensing (RS) Applications (ISEPP), Izmir-Turkey, 13–19

  • Gurney K (2005) An introduction to neural networks. Taylor and Francis, London

    Google Scholar 

  • Hajian A, Ardestani EV, Lucas C (2011) Depth estimation of gravity anomalies using Hopfield neural networks. J Earth Sp Phys 37(2):1–9

    Google Scholar 

  • Hamid RS, Mohammad RS (2013) Neural network and least squares method (ANN-LS) for depth estimation of subsurface cavities case studies: Gardaneh Rokh Tunnel, Iran. J Appl Sci Agric 8(3):164–171

    Google Scholar 

  • Hartman EJ, Keeler JD, Kowalski JM (1990) Layered neural networks with Gaussian hidden units as universal approximations. Neural Comput 2(2):210–215

    Article  Google Scholar 

  • Haykin S (1999) Neural networks: a comprehensive foundation, 2nd edn. Prentice Hall, New Jersey, USA

  • He-Sheng W (2006) Precise GPS orbit determination and prediction using H neural network. J Chinese Inst Eng 29(2):211–219

    Article  Google Scholar 

  • Hornik K, Stinchcombe M, White H (1989) Multilayer feed forward networks are universal approximators. Neural Netw 2:359–366

    Article  Google Scholar 

  • Kavzoglu T, Saka MH (2005) Modelling local GPS/levelling geoid undulations using artificial neural networks. J Geodesy 78:520–527. doi:10.1007/s00190-004-0420-3

    Article  Google Scholar 

  • Kecman V (2001) Learning and Soft Computing. A Bradford book, The MIT Press Massachusetts

  • Kinneen R, Featherstone WE (2004) An empirical comparison of coordinate transformations from the Australian geodetic datum (AGD66 and AGD84) to the geocentric datum of Australia (GDA94). J Spatial Sci 49(2):1–29

    Article  Google Scholar 

  • Konaté AA, Pan H, Khan N, Ziggah YY (2015) Prediction of porosity in crystalline rocks using artificial neural networks: an example from the Chinese continental scientific drilling main hole. Stud Geophys Geod 59(1):113–136

    Article  Google Scholar 

  • Kotzev V (2013) Consultancy service for the selection of a new projection system for Ghana. Draft Final Reports, World Bank Second Land Administration Project (LAP-2), Ghana

  • Kumi-Boateng B, Ziggah YY (2016) Accuracy assessment of Cartesian (X, Y, Z) to geodetic coordinates (φ, λ, h) transformation procedures in precise 3D coordinate transformation—a case study of Ghana Geodetic Reference Network. J Geosci and Geomat 4(1):1–7

    Google Scholar 

  • Lei W, Qi X (2010) The application of BP neural network in GPS elevation fitting. International Conference on Intelligent Computation Technology and Automation, Changsha-China. IEEE. doi:10.1109/ICICTA.2010.162

    Google Scholar 

  • Li X, Zhou J, Guo R (2014) High-precision orbit prediction and error control techniques for COMPASS navigation satellite. Chinese Sci Bull 59(23):2841–2849

    Article  Google Scholar 

  • Liao DC, Wang QJ, Zhou YH, Liao XH, Huang CL (2012) Long-term prediction of the earth orientation parameters by the artificial neural network technique. J Geodyn 62:87–92

    Article  Google Scholar 

  • Lin LS, Wang YJ (2006) A study on cadastral coordinate transformation using artificial neural network. Proceedings of the 27th Asian Conference on Remote Sensing, Ulaanbaatar, Mongolia

  • Liu S, Li J, Wang S (2011) A hybrid GPS height conversion approach considering of neural network and topographic correction. International Conference on Computer Science and Network Technology, China. IEEE. doi:10.1109/ICCSNT.2011.6182386

    Google Scholar 

  • Mihalache RM (2012) Coordinate transformation for integrating map information in the new geocentric European system using artificial neural networks. GeoCAD:1–9

  • Mugnier JC (2000) OGP-coordinate conversions and transformations including formulae, COLUMN, Grids and Datums. The Republic of Ghana Photogram. Eng Remote Sensing:695–697

  • Muller VA, Hemond FH (2013) Extended artificial neural networks: incorporation of a priori chemical knowledge enables use of ion selective electrodes for in-situ measurement of ions at environmentally relevant levels. Talanta 117:112–118

    Article  Google Scholar 

  • Newsome GG, Harvey BR (2003) GPS coordinate transformation parameters for Jamaica. Surv Rev 37(289):218–234

    Article  Google Scholar 

  • Nocedal J, Wright SJ (2006) Numerical optimization, 2nd edn. Springer Science and Business media, LLC, New York

    Google Scholar 

  • Pantazis G, Eleni-Georgia A (2013) The use of artificial neural networks in predicting vertical displacements of structures. Int J Appl Sci Technol 3(5):1–7

    Google Scholar 

  • Park J, Sandberg IW (1991) Universal approximation using radial basis function networks. Neural Comput 3(2):246–257

    Article  Google Scholar 

  • Pikridas C, Fotiou A, Katsougiannopoulos S, Rossikopoulos D (2011) Estimation and evaluation of GPS geoid heights using an artificial neural network model. Appl Geomat 3:183–187. doi:10.1007/s12518-011-0052-2

    Article  Google Scholar 

  • Poku-Gyamfi Y, Hein WG (2006) Framework for the establishment of a nationwide network of Global Navigation Satellite System (GNSS)—a cost effective tool for land development in Ghana. 5th FIG Conference on Promoting Land Administration and Good Governance, Workshop–AFREF I, Accra, Ghana, 1–13

  • Poku-Gyamfi Y, Schueler, T (2008) Renewal of Ghana’s Geodetic Reference Network. 13th FIG Symposium on Deformation Measurement and Analysis, 4th IAG Symposium on Geodesy for Geotechnical and Structural Engineering, LNEC, LISBON, 2008, pp 1–9

  • Schuh H, Ulrich M, Egger D, Muller J, Schwegmann W (2002) Prediction of earth orientation parameters by artificial neural networks. J Geod 76:247–258

    Article  Google Scholar 

  • Sorkhabi OM (2015) Geoid determination based on log sigmoid function of artificial neural networks: (a case study: Iran). J Artif Intell Electr Eng 3(12):18–24

    Google Scholar 

  • Stopar B, Ambrožič T, Kuhar M, Turk G (2006) GPS-derived geoid using artificial neural network and least squares collocation. Surv Rev 38(300):513–524

    Article  Google Scholar 

  • Tieding L, Shijian Z, Xijiang C (2010) A number of issues about converting GPS height by BP neural network. International Conference on Biomedical Engineering and Computer Science (ICBECS), Wuhan-China. IEEE. doi:10.1109/ICBECS.2010.5462426

    Google Scholar 

  • Tierra AR, De Freitas SRC (2005) Artificial neural network: a powerful tool for predicting gravity anomaly from sparse data. Gravity, geoid and space missions, International Association of Geodesy Symposia. Springer, Berlin Heidelberg DA. doi:10.1007/3-540-26932-0_36

    Google Scholar 

  • Tierra A, Romero R (2014) Planes coordinates transformation between PSAD56 to SIRGAS using a multilayer artificial neural network. Geod Cartogr 63(2):199–209

    Google Scholar 

  • Tierra A, Dalazoana R, De Freitas S (2008) Using an artificial neural network to improve the transformation of coordinates between classical geodetic reference frames. Comput Geosci 34:181–189. doi:10.1016/j.cageo.2007.03.011

    Article  Google Scholar 

  • Tierra AR, De Freitas SRC, Guevara PM (2009) Using an artificial neural network to transformation of coordinates from PSAD56 to SIRGAS95. Geodetic Reference Frames, International Association of Geodesy Symposia. Springer 134:173–178

    Google Scholar 

  • Turgut B (2010) A back-propagation artificial neural network approach for three-dimensional coordinate transformation. Sci Res Essays 5(21):3330–3335

    Google Scholar 

  • Veronez MR, Thum BA, De Souza GC (2006) A new method for obtaining geoidal undulations through artificial neural networks. 7th International Symposium on Spatial Accuracy Assessment in Natural Resources and Environmental Sciences 306–316

  • Veronez MR, De Souza GC, Matsuoka TM, Reinhardt A, Da Silva RM (2011) Regional mapping of the geoid using GNSS (GPS) measurements and an artificial neural network. Remote Sens 3:668–683. doi:10.3390/rs3040668

    Article  Google Scholar 

  • Wonnacott R (2007) A progress report on the AFREF project and its potential to support development in Africa. Space Geodesy Workshop, Matjiesfontein, 13–14 November

  • Wu LC, Tang X, Zhang S (2012) The application of genetic neural network in the GPS height transformation. IEEE Fourth International Conference on Computational and Information Sciences, Chongqing-China. doi:10.1109/ICCIS.2012.317

  • Yegnanarayana B (2005) Artificial neural networks. Prentice-Hall of India Private Limited

  • Yilmaz M (2013) Artificial neural networks pruning approach for geodetic velocity field determination. Bol Ciênc Geod 19(4):558–573

    Article  Google Scholar 

  • Yilmaz I, Gullu M (2012) Georeferencing of historical maps using back propagation artificial neural network. Exp Tech 36:15–19

    Article  Google Scholar 

  • Yonaba H, Anctil F, Fortin V (2010) Comparing sigmoid transfer functions for neural network multistep ahead stream flow forecasting. J Hydrol Eng 15(4):275–283

    Article  Google Scholar 

  • Yu L, Danning Z, Cai H (2015) Prediction of length-of-day- using extreme learning machine. Geod Geodyn 6(2):151–159

    Article  Google Scholar 

  • Zaletnyik P (2004) Coordinate transformation with neural networks and with polynomials in Hungary. International Symposium on Modern Technologies, Education and Professional Practice in Geodesy and Related Fields, Sofia, Bulgaria, 471–479

  • Ziggah YY, Youjian H, Odutola CA, Fan DL (2013) Determination of GPS coordinate transformation parameters of geodetic data between reference datums—a case study of Ghana Geodetic Reference Network. Int J Eng Sci and Res Tech 2(4):2277–9655

    Google Scholar 

  • Ziggah YY, Youjian H, Yu X, Laari BP (2016) Capability of artificial neural network for forward conversion of geodetic coordinates (φ, λ, h) to Cartesian coordinates (X, Y, Z). Math Geosci 48:687–721

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hu Youjian.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ziggah, Y.Y., Youjian, H., Tierra, A. et al. Performance evaluation of artificial neural networks for planimetric coordinate transformation—a case study, Ghana. Arab J Geosci 9, 698 (2016). https://doi.org/10.1007/s12517-016-2729-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-016-2729-7

Keywords

Navigation