DOI: https://doi.org/10.14710/geoplanning.4.1.19-26

COORDINATE TRANSFORMATION USING FEATHERSTONE AND VANÍČEK PROPOSED APPROACH - A CASE STUDY OF GHANA GEODETIC REFERENCE NETWORK

*Yao Yevenyo Ziggah  -  Department of Surveying and Mapping, Faculty of Information Engineering, China University of Geosciences, Wuhan, 430074, P.R. China.;, Ghana
John Ayer  -  Department of Geomatic Engineering, College of Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ashanti Region, Ghana, Ghana
Prosper Basommi Laari  -  Department of Environment and Resource Studies, University for Development Studies, Wa, Ghana, Ghana
Eric Frimpong  -  Department of Geomatic Engineering, Faculty of Mineral Resource Technology, University of Mines and Technology, Tarkwa, Western Region, Ghana., Ghana

Citation Format:
Abstract

Most developing countries like Ghana are yet to adopt the geocentric datum for its surveying and mapping purposes. It is well known and documented that non-geocentric datums based on its establishment have more distortions in height compared with satellite datums. Most authors have argued that combining such height with horizontal positions (latitude and longitude) in the transformation process could introduce unwanted distortions to the network. This is because the local geodetic height in most cases is assumed to be determined to a lower accuracy compared with the horizontal positions. In the light of this, a transformation model was proposed by Featherstone and Vaníček (1999) which avoids the use of height in both global and local datums in coordinate transformation. It was confirmed that adopting such a method reduces the effect of distortions caused by geodetic height on the transformation parameters estimated. Therefore, this paper applied Featherstone and Vaníček (FV) model for the first time to a set of common points coordinates in Ghana geodetic reference network. The FV model was used to transform coordinates from global datum (WGS84) to local datum (Accra datum). The results obtained based on the Root Mean Square Error (RMSE) and Mean Absolute Error (MAE) in both Eastings and Northings were satisfactory. Thus, a RMSE value of 0.66 m and 0.96 m were obtained for the Eastings and Northings while 0.76 m and 0.73 m were the MAE values achieved. Also, the FV model attained a transformation accuracy of 0.49 m. Hence, this study will serve as a preliminary investigation in avoiding the use of height in coordinate transformation within Ghana’s geodetic reference network.

Fulltext View|Download
Keywords: Coordinate transformation; Global Navigation Satellite Systems; Geodetic Reference Network; Featherstone and Vaníček model

Article Metrics:

Article Info
Section: Original Research
Language : EN
Recent articles
ACCURACY ASSESSMENTS OF PAN-SHARPENED IMAGE FOR BENTHIC HABITATS MAPPING COORDINATE TRANSFORMATION USING FEATHERSTONE AND VANÍČEK PROPOSED APPROACH - A CASE STUDY OF GHANA GEODETIC REFERENCE NETWORK SPATIAL TRANSFORMATION OF SURAKARTA’S PERIPHERAL RURAL VILLAGES UNDER IN-SITU URBANIZATION PHENOMENON : THE CASE OF GENTAN VILLAGE More recent articles
Most cited articles
MODEL OF CLIMATE AND LAND-USE CHANGES IMPACT ON WATER SECURITY IN AMBON CITY, INDONESIA THE SPATIAL PATTERN OF URBANIZATION AND SMALL CITIES DEVELOPMENT IN CENTRAL JAVA: A CASE STUDY OF SEMARANG-YOGYAKARTA-SURAKARTA REGION A GIS BASED EVALUATION OF LAND USE CHANGES AND ECOLOGICAL CONNECTIVITY INDEX GIS-BASED ANALYSIS FOR ASSESSING LANDSLIDE AND DROUGHT HAZARD IN THE CORRIDOR OF MT. MERAPI AND MT. MERBABU NATIONAL PARK, INDONESIA ACCURACY ASSESSMENTS OF PAN-SHARPENED IMAGE FOR BENTHIC HABITATS MAPPING More cited articles

  1. Ayer, J. (2008). Transformation models and Procedures for Framework Integration of the Ghana National Geodetic Network. The Ghana Surveyor, 1(2), 52–58.

  2. Ayer, J., & Fosu, C. (2008). Map Coordinate Referencing and the use of GPS Datasets in Ghana. Journal of Science and Technology (Ghana), 28(1). [https://doi.org/10.4314/just.v28i1.33084">CrossRef]

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

  4. Dzidefo, A. (2011). Determination of transformation parameters between the World Geodetic System 1984 and the Ghana geodetic network. Kwame Nkrumah University of Science & Technology. Retrieved from http://ir.knust.edu.gh/bitstream/123456789/298/1/THESIS.pdf">

  5. Featherstone, W., & Vanicek, P. (1999). The role of coordinate systems, coordinates and heights in horizontal datum transformations. Australian Surveyor, 44(2), 143–150. [https://doi.org/10.1080/00050326.1999.10441920">CrossRef]

  6. Heiskanen, W. A., & Moritz, H. (1967). Physical geodesy. Bulletin Géodésique (1946-1975), 86(1), 491–492.

  7. 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.

  8. Kumi-boateng, B., & Ziggah, Y. Y. (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. Journal of Geosciences and Geomatics, 4(1), 1–7. [https://doi.org/10.12691/jgg-4-1-1">CrossRef]

  9. Paul, M. K. (1973). A note on computation of Geodetic coordinates from geocentric (Cartesian) coordinates. Bulletin Géodésique (1946-1975), 108(1), 135–139. [https://doi.org/10.1007/BF02522075">CrossRef]

  10. Poku-Gyamfi, Y., & Schueler, T. (2008). Renewal of Ghana’s geodetic reference network. In 13th FIG Symposium on Deformation Measurement and Analysis, 4th IAG Symposium on Geodesy for Geotechnical and Structural Engineering, LNEC, LISBON (pp. 1–9).

  11. US Department of Defense. (1984). World Geodetic System 1984 (WGS84).

  12. Vaníček, P., & Steeves, R. R. (1996). Transformation of coordinates between two horizontal geodetic datums. Journal of Geodesy, 70(11), 740–745. [https://doi.org/10.1007/BF00867152">CrossRef]  

  13. Ziggah, Y. Y., et al. (2013a). Determination of GPS coordinate transformation parameters of geodetic data between reference datums—a case study of ghana geodetic reference network. International Journal of Engineering Sciences and Research Technology, 2(4), 965–971.

  14. Ziggah, Y. Y., et al. (2013b). Accuracy Assessment of Centroid Computation Methods in Precise GPS Coordinates Transformation Parameters Determination-A Case Study, Ghana. European Scientific Journal, 9(15), 200–220.


Last update:

  1. FEASIBILITY OF USING GROUP METHOD OF DATA HANDLING (GMDH) APPROACH FOR HORIZONTAL COORDINATE TRANSFORMATION

    Bernard Kumi-Boateng, Yao Yevenyo Ziggah. Geodesy and cartography, 46 (2), 2020. doi: 10.3846/gac.2020.10486

  2. Coordinate Transformation between Global and Local Datums Based on Artificial Neural Network with K-Fold Cross-Validation: A Case Study, Ghana

    Yao Yevenyo Ziggah, Hu Youjian, Alfonso Rodrigo Tierra, Prosper Basommi Laari. Earth Sciences Research Journal, 23 (1), 2019. doi: 10.15446/esrj.v23n1.63860

Last update: 2024-11-24 09:14:33

No citation recorded.