The Methodology of Applying Inverse Distance Weighting Interpolation Method in Determining Normal Heights

Hiba Moussa (1), Mohammad Abboud (2)
(1) Lecturer, Surveying Engineering department, Lebanese International University, Beirut, Lebanon, Lebanon,
(2) Chair of Surveying Engineering department, Lebanese International University, Beirut, Lebanon, Lebanon


This article explores the application of the Inverse Distance Weighting (IDW) interpolation method in determining normal heights, utilizing a network of points with measured ellipsoidal and normal heights by the use of GNSS/levelling method. The IDW method, which assumes that points closer to each other are more alike, is employed to locate points within the correct quadrant and calculate their normal height based on the determined average height anomaly across the entire area. The accuracy of this method is validated using check points. The article further discusses the methodology of normal height determination at a country level by using generated coefficients, representing the average difference between various height-systems, which could be used as an integral to the interpolation methods used for generating a refined Digital Elevation Model (DEM) across the country. This study contributes to the ongoing discourse on the effective use of interpolation methods in geospatial analysis and DEM generation. It provides valuable insights into the practical application of the IDW method and its potential for enhancing the accuracy of normal height determination and DEM refinement. Importantly, such methods hold significant value for countries lacking gravimetric data, as they provide a viable means of determining normal heights in the absence of a local quasi geoid model.

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Abdulrahman, F. H. (2021). Determination of the local geoid model in Duhok Region, University of Duhok Campus as a Case study. Ain Shams Engineering Journal, 12(2), 1293-1304.

Al Shouny, A., Khalil, R., Kamel, A., & Miky, Y. (2023). Assessments of recent Global Geopotential Models based on GPS/levelling and gravity data along coastal zones of Egypt. Open Geosciences, 15(1), 20220450.

Habib, M., Alzubi, Y., Malkawi, A., & Awwad, M. (2020). Impact of interpolation techniques on the accuracy of large-scale digital elevation model. Open Geosciences, 12(1), 190-202.

Hastaoğlu, K. Ö., Göğsu, S., & Yavuz, G. Ü. L. (2022). Determining the relationship between the slope and directional distribution of the UAV point cloud and the accuracy of various IDW interpolation. International Journal of Engineering and Geosciences, 7(2), 161-173.

Liang, W., Pail, R., Xu, X., & Li, J. (2020). A new method of improving global geopotential models regionally using GNSS/levelling data. Geophysical journal international, 221(1), 542-549.

Mulkal, M., Risawandi, R., & Aflah, N. (2019). Inverse distance weight spatial interpolation for topographic surface 3D modelling. TECHSI-Jurnal Teknik Informatika, 11(3), 385.

Mustafin, M. G., & Moussa, H. (2023). The Determination of Plumb Line Deviation Using Satellite/Levelling Technique. International Conference on Geosynthetics and Environmental Engineering (pp. 37-47). Singapore: Springer Nature Singapore.

Okolie, Chukwuma, J., & Julian, L. S. (2022). A systematic review and meta-analysis of Digital elevation model (DEM) fusion: Pre-processing, methods and applications. ISPRS Journal of Photogrammetry and Remote Sensing, 188, 1-29.

Setianto, A., & Triandini, T. (2013). Comparison of kriging and inverse distance weighted (IDW) interpolation methods in lineament extraction and analysis. Journal of Applied Geology, 5(1).

Sjöberg, L. E. (2018). On the geoid and orthometric height vs. quasigeoid and normal height. Journal of Geodetic Science, 8(1), 115-120.


Hiba Moussa
[email protected] (Primary Contact)
Mohammad Abboud
Moussa, H., & Abboud, M. (2024). The Methodology of Applying Inverse Distance Weighting Interpolation Method in Determining Normal Heights. Resourceedings, 4(1), 01–06.

Article Details

Received 2024-02-20
Accepted 2024-03-17
Published 2024-03-31