Reliable Digital Terrain Modeling Using PPK GNSS Observations and Leveling-Constrained TIN Interpolation
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Reliable Digital Terrain Models (DTMs) are crucial for most engineering and environmental applications, especially where accurate elevation is required. While conventional leveling offers high vertical accuracy, it needs long time periods, causing high work costs, particularly for wide regions. GNSS-based methods that provide fast data acquisition may serve as an effective alternative; however, achieving reliable vertical accuracy remains a challenge. Accordingly, this study proposed a practical approach that integrates the Post-Processed Kinematic GNSS technique with Constrained Triangulated Irregular Network (TIN) modeling to improve elevation accuracy. In this method, accurate leveling cross sections distributed along the study area are used as vertical constraints to improve interpolation reliability. The performance of the model is validated using independent cross-section data observed using precise leveling. Statistical analysis demonstrates a strong correlation between generated DTM elevations and leveling data, evidenced by a coefficient of determination (R²) of 0.9915 and a vertical RMSE of 0.0608 m, with residuals mainly within ±0.10 m for the majority of observations. The results validated that the Constrained TIN modeling method effectively maintains the accuracy of PPK-derived elevations and decreases vertical discrepancies. The proposed methodology, integrating PPK observations with constrained TIN modeling, achieves reliable decimeter-level vertical accuracy, making it appropriate for various engineering and environmental applications that needs high-precision terrain representation.
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[1] Li, Z., Zhu, Q., & Gold, C. (2004). Digital terrain modeling: Principles and methodology. CRC Press, London, United Kingdom. doi:10.1201/9780203357132.
[2] El-Sheimy, N., Valeo, C., & Habib, A. (2005). Digital terrain modeling: Acquisition, manipulation, and applications. Arid Land Research and Management, 19(4), 307–324. doi:10.1080/15324980500299734.
[3] Kamel, A., Miky, Y., & Shouny, A. El. (2020). FTF: a quick surveying approach for constructing high resolution digital surface model for road elements. Geomatics, Natural Hazards and Risk, 11(1), 1466–1489. doi:10.1080/19475705.2020.1800519.
[4] Roberts, P. O. (1957). Using new methods in highway location. Photogrammetric Engineering, 23(3), 563-569.
[5] Miller, C. L., & Laflamme, R. A. (1958). The Digital Terrain Model-: Theory & Application. MIT Photogrammetry Laboratory, Cambridge, United States.
[6] Hofmann-Wellenhof, B., Lichtenegger, H., & Collins, J. (2001). Global Positioning System. Springer, Vienna, Austria. doi:10.1007/978-3-7091-6199-9.
[7] Shouny, A. E., Yakoub, N., & Hosny, M. (2017). Evaluating the Performance of Using PPK-GPS Technique in Producing Topographic Contour Map. Marine Geodesy, 40(4), 224–238. doi:10.1080/01490419.2017.1321594.
[8] Al Shouny, A., Kamel, A., & Miky, Y. (2024). Kinematic precise point positioning heights enhancement using static measurements and Voronoi’s corrector surface. International Journal of Digital Earth, 17(1), 2327843. doi:10.1080/17538947.2024.2327843.
[9] El Shouny, A., & Miky, Y. (2019). Accuracy assessment of relative and precise point positioning online GPS processing services. Journal of Applied Geodesy, 13(3), 215–227. doi:10.1515/jag-2018-0046.
[10] Maguire, D. J. (1991) An Overview and Definition of GIS. Geographical Information Systems: Principles and Applications, Wiley, Hoboken, United States.
[11] Raza, M. A., Hassan, A., Khan, M. U., Emad, M. Z., & Saki, S. A. (2023). A critical comparison of interpolation techniques for digital terrain modelling in mining. Journal of the Southern African Institute of Mining and Metallurgy, 123(2), 53–62. doi:10.17159/2411-9717/2271/2023.
[12] ESRI. (2017). ArcGIS Documentation. Environmental Systems Research Institute, Redlans, United States. Available online: https://desktop.arcgis.com/en/documentation/ (accessed on May 2026).
[13] ET Spatial Technologies. (2017). Triangulated irregular network. ET Spatial Technologies, Pretoria, South Africa. Available online: http://www.ianko.com/resources/triangulated_irregular_network.htm (accessed on May 2026).
[14] Liang, S., & Wang, J. (2020). Geometric processing and positioning techniques. Advanced Remote Sensing. Academic Press, Cambridge, United States. doi:10.1016/b978-0-12-815826-5.00002-7.
[15] Hu, G., Dai, W., Xiong, L., & Tang, G. (2020). Classification of terrain concave and convex landform units by using TIN. Conference Proceedings Geomorphometry 2020, 46-49.
[16] Shewchuk, J.R. (2009). General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties. Twentieth Anniversary Volume, Springer, New York, United States. doi:10.1007/978-0-387-87363-3_28.
[17] He, Z., Gan, S., & Yuan, X. (2025). A Terrain-Constrained TIN Approach for High-Precision DEM Reconstruction Using UAV Point Clouds. Journal of Imaging, 12(1), 8. doi:10.3390/jimaging12010008.
[18] Wan, Z., Huang, X., & Ding, Y. (2025). A Multi-Scale 3D Terrain Modeling and Visualization Method for Radiating Tidal Sand Ridges Based on DEM. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, XLVIII-4/W14-2025, 265–273. doi:10.5194/isprs-archives-xlviii-4-w14-2025-265-2025.
[19] Syed Abdul Rahman, S. A. F., Abdul Maulud, K. N., Ujang, U., Wan Mohd Jaafar, W. S., Kuok Choy, L., & Syed Mustorpha, S. N. A. (2026). Optimizing 3D Urban Modelling: Integrating Land Lot and Building Footprint Geometries in Dual-Iteration Morphometric Algorithms. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, XLVIII-4/W17-2025, 331–337. doi:10.5194/isprs-archives-xlviii-4-w17-2025-331-2026.
[20] Adedapo, S. M., & Zurqani, H. A. (2024). Evaluating the performance of various interpolation techniques on digital elevation models in highly dense forest vegetation environment. Ecological Informatics, 81, 102646. doi:10.1016/j.ecoinf.2024.102646.
[21] Chen, C., & Yue, T. (2010). A method of DEM construction and related error analysis. Computers & Geosciences, 36(6), 717-725. doi:10.1016/j.cageo.2009.12.001.
[22] Yang, B., Shi, W., & Li, Q. (2005). An integrated TIN and Grid method for constructing multi-resolution digital terrain models. International Journal of Geographical Information Science, 19(10), 1019–1038. doi:10.1080/13658810500391156.
[23] Yuan, J., Liu, G., & Chai, S. (2024). 3D geological fine modeling and dynamic updating method of fault slope in open-pit coal mine. Scientific Reports, 14(1), 29906. doi:10.1038/s41598-024-81872-3.
[24] Arkali, M., & Atik, M. (n.d.). Accuracy assessment of RTK, PPK, and PPP-AR positioning techniques for UAV-based mapping applications. Journal of Surveying Engineering, 151(1), 4024042. doi:10.1061/(ASCE)SU.1943-5428.0000462.
[25] Özdemir, E. G., Deniz, E., & Hezer, M. (2025). Assessment of Positional Accuracy in Maps Derived Using UAV_PPK, UAV Network RTK, RTK-GNSS, and TUSAGA-Active Techniques. International Journal of Engineering and Geosciences, 11(1), 226-238. doi:10.26833/ijeg.1686266.
[26] North West Regional College. (2014). Technical report of the survey work performed for the area between Rosetta and El-Brullus as a part of the project “adaptation of the Nile Delta to the climatic changes and Sea water rise”. Survey Research Institute Technical Report, North West Regional College, Derry, Ireland.
[27] Sobeih, M. F., Doma, M. I., & El Shoney, A. F. (2010). Mixture-Order Design of GPS Networks Based on Genetic Algorithms. ERJ. Engineering Research Journal, 33(4), 431–439. doi:10.21608/erjm.2010.67343.
[28] TBC Reference Manual. (2008). Trimble® Business Center Reference Manual. Trimble Navigation Limited Engineering and Construction Division, Westminster, United States.
[29] Radm R. & Bossler J. D. (1984). Standards and Specifications of Geodetic Control Networks. Federal Geodetic Control Committee, Reston, United Sates. Available online: http://www.ngs.noaa.gov/FGCS/tech_pub/1984-stds-specs-geodetic-control-networks.htm (accessed on May 2026).
[30] WILD N3. (1992). The precision level with unique features. Leica AG, Heerbrugg, Switzerland.
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