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Original Articles

Higher-order interpolation of regular grid digital elevation models

Pages 2981-2987 | Published online: 26 Nov 2010

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Ali H. Ahmed Suliman, W. Gumindoga, Taymoor A. Awchi & Ayob Katimon. (2021) DEM resolution influences on peak flow prediction: a comparison of two different based DEMs through various rescaling techniques. Geocarto International 36:7, pages 803-819.
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Stephen M. Chignell, Melinda J. Laituri, Nicholas E. Young & Paul H. Evangelista. (2019) Afroalpine Wetlands of the Bale Mountains, Ethiopia: Distribution, Dynamics, and Conceptual Flow Model. Annals of the American Association of Geographers 109:3, pages 791-811.
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XiaoHang Liu, Hai Hu & Peng Hu. (2015) The “M” in digital elevation models. Cartography and Geographic Information Science 42:3, pages 235-243.
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A. Stock, H. Tolvanen & R. Kalliola. (2010) Crossing natural and data set boundaries: coastal terrain modelling in the South-West Finnish Archipelago. International Journal of Geographical Information Science 24:9, pages 1435-1452.
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W. Z. Shi & Y. Tian. (2006) A hybrid interpolation method for the refinement of a regular grid digital elevation model. International Journal of Geographical Information Science 20:1, pages 53-67.
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Changqing Zhu, Wenzhong Shi, Qingquan Li, Guangxia Wang, T. C. K. Cheung, Erfu Dai & G. Y. K. Shea. (2005) Estimation of average DEM accuracy under linear interpolation considering random error at the nodes of TIN model. International Journal of Remote Sensing 26:24, pages 5509-5523.
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W. Z. Shi, Q. Q. Li & C. Q. Zhu. (2005) Estimating the propagation error of DEM from higher‐order interpolation algorithms. International Journal of Remote Sensing 26:14, pages 3069-3084.
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Dariusz Gościewski, Małgorzata Gerus-Gościewska & Agnieszka Szczepańska. (2024) Application of Polynomial Interpolation for Iterative Complementation of the Missing Nodes in a Regular Network of Squares Used for the Construction of a Digital Terrain Model. Remote Sensing 16:6, pages 999.
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Leyang Wang & Hao Xiao. (2023) MINQUE Method Variance Component Estimation for the Mixed Additive and Multiplicative Random Error Model. Journal of Surveying Engineering 149:4.
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Daniel Cornel, Silvana Zechmeister, Eduard Gröller & Jürgen Waser. (2023) Watertight Incremental Heightfield Tessellation. IEEE Transactions on Visualization and Computer Graphics 29:9, pages 3888-3899.
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Luyen K. Bui & Craig L. Glennie. (2023) Estimation of lidar-based gridded DEM uncertainty with varying terrain roughness and point density. ISPRS Open Journal of Photogrammetry and Remote Sensing 7, pages 100028.
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Vladislav A. Sudakov, Rinat I. Safuanov, Aleksey N. Kozlov, Timur M. Porivaev, Artem A. Zaikin, Rustam A. Zinykov, Azat A. Lutfullin, Ildar Z. Farhutdinov & Ilgiz Z. Tylyakov. (2022) Localization and development of residual oil reserves using geochemical studies based on neural network algorithms. Georesursy 24:4, pages 50-64.
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Zakaria Adiri, Rachid Lhissou, Lhou Maacha, Abdelhakim Jilali, El Hassan Talbi, Amine Jellouli & Mohcine Chakouri. (2022) Comparison of ASTER GDEM3, SRTM3, NASADEM, TanDEM-X90, AW3D30, and ALOS PALSAR data with TanDEM-X12: a case study of Tagragra of Akka inlier, Moroccan Anti-Atlas. Arabian Journal of Geosciences 15:21.
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Luyen K. Bui, Craig L Glennie & Preston J. Hartzell. (2022) Rigorous Propagation of LiDAR Point Cloud Uncertainties to Spatially Regular Grids by a TIN Linear Interpolation. IEEE Geoscience and Remote Sensing Letters 19, pages 1-5.
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Leyang Wang & Tao Chen. (2021) Ridge estimation iterative solution of ill-posed mixed additive and multiplicative random error model with equality constraints. Geodesy and Geodynamics 12:5, pages 336-346.
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Zenglu Liu & Tianfeng Yan. (2021) Comparison of spatial interpolation methods based on ArcGIS. Journal of Physics: Conference Series 1961:1, pages 012050.
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José L. Mesa-Mingorance & Francisco J. Ariza-López. (2020) Accuracy Assessment of Digital Elevation Models (DEMs): A Critical Review of Practices of the Past Three Decades. Remote Sensing 12:16, pages 2630.
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ya Wen, Juan Shang & Ding Liang. (2019) Study on the Improved IDW in the Maanshan Reach of the Yangtze River Modeling. Study on the Improved IDW in the Maanshan Reach of the Yangtze River Modeling.
D. Cornel, A. Buttinger‐Kreuzhuber, A. Konev, Z. Horváth, M. Wimmer, R. Heidrich & J. Waser. (2019) Interactive Visualization of Flood and Heavy Rain Simulations. Computer Graphics Forum 38:3, pages 25-39.
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Serajis Salekin, Jack Burgess, Justin Morgenroth, Euan Mason & Dean Meason. (2018) A Comparative Study of Three Non-Geostatistical Methods for Optimising Digital Elevation Model Interpolation. ISPRS International Journal of Geo-Information 7:8, pages 300.
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Chuanfa Chen, Yanyan Li, Na Zhao, Bin Guo & Naixia Mou. (2018) Least Squares Compactly Supported Radial Basis Function for Digital Terrain Model Interpolation from Airborne Lidar Point Clouds. Remote Sensing 10:4, pages 587.
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John P. Wilson. 2018. Environmental Applications of Digital Terrain Modeling. Environmental Applications of Digital Terrain Modeling 279 332 .
Mounir Adjrad & Paul D. Groves. (2017) Enhancing Least Squares GNSS Positioning with 3D Mapping without Accurate Prior Knowledge. Navigation 64:1, pages 75-91.
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L . Biagi, S. Caldera, L. Carcano & M. Negretti. (2016) The open data HELI-DEM DTM for the western alpine area: computation and publication. Applied Geomatics 8:3-4, pages 191-200.
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Mehran Alidoost Nia, Reza Ebrahimi Atani, Benjamin Fabian & Eduard Babulak. (2016) On detecting unidentified network traffic using pattern-based random walk. Security and Communication Networks 9:16, pages 3509-3526.
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Yana Petri & Ken Caldeira. (2015) Impacts of global warming on residential heating and cooling degree-days in the United States. Scientific Reports 5:1.
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Wojciech Maleika. (2014) The influence of the grid resolution on the accuracy of the digital terrain model used in seabed modeling. Marine Geophysical Research 36:1, pages 35-44.
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Ludovico Biagi & Laura Carcano. 2016. VIII Hotine-Marussi Symposium on Mathematical Geodesy. VIII Hotine-Marussi Symposium on Mathematical Geodesy 257 262 .
Se Hyun Yun & Chan Gook Park. (2014) Position fix in terrain referenced navigation using statistical verification. IET Radar, Sonar & Navigation 8:9, pages 1091-1099.
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Wenzhong Shi, Bin Wang & Yan Tian. (2014) Accuracy Analysis of Digital Elevation Model Relating to Spatial Resolution and Terrain Slope by Bilinear Interpolation. Mathematical Geosciences 46:4, pages 445-481.
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Yun Shi, Peiliang Xu, Junhuan Peng, Chuang Shi & Jingnan Liu. (2014) Adjustment of Measurements with Multiplicative Errors: Error Analysis, Estimates of the Variance of Unit Weight, and Effect on Volume Estimation from LiDAR-Type Digital Elevation Models. Sensors 14:1, pages 1249-1266.
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Peiliang Xu, Yun Shi, Junhuan Peng, Jingnan Liu & Chuang Shi. (2013) Adjustment of geodetic measurements with mixed multiplicative and additive random errors. Journal of Geodesy 87:7, pages 629-643.
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Shun Bao Liao. (2012) Accuracy Analysis of SRTM-DEM in Qinling-Dabashan Area. Applied Mechanics and Materials 241-244, pages 342-346.
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Lin-Lin Xiao & Hong-Bin Liu. (2012) A novel approach for quantitative assessment of DEM accuracy using reconstructed contours. Procedia Environmental Sciences 12, pages 772-776.
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Stephen Wise. (2011) Cross-validation as a means of investigating DEM interpolation error. Computers & Geosciences 37:8, pages 978-991.
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Qunying Huang & Chaowei Yang. (2011) Optimizing grid computing configuration and scheduling for geospatial analysis: An example with interpolating DEM. Computers & Geosciences 37:2, pages 165-176.
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M. Yakar, H.M. Yilmaz & K. Yurt. (2010) THE EFFECT OF GRID RESOLUTION IN DEFINING TERRAIN SURFACE. Experimental Techniques 34:6, pages 23-29.
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Wenzhong Shi. 2009. Principles of Modeling Uncertainties in Spatial Data and Spatial Analyses. Principles of Modeling Uncertainties in Spatial Data and Spatial Analyses.
Miguel Fernández, Daniel Cole, W. Ronald Heyer, Steffen Reichle & Rafael O. De Sá. (2009) Predicting Leptodactylus (Amphibia, Anura, Leptodactylidae) Distributions: Broad-Ranging Versus Patchily Distributed Species Using a Presence-Only Environmental Niche Modeling Technique . South American Journal of Herpetology 4:2, pages 103-116.
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Peng Hu, Xiaohang Liu & Hai Hu. (2009) Isomorphism in Digital Elevation Models and Its Implication to Interpolation Functions. Photogrammetric Engineering & Remote Sensing 75:6, pages 713-721.
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Amii R. Darnell, Nicholas J. Tate & Chris Brunsdon. (2008) Improving user assessment of error implications in digital elevation models. Computers, Environment and Urban Systems 32:4, pages 268-277.
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A. Sindayihebura, M. Van Meirvenne, S. Verstraete & S. Nsabimana. (2008) Accounting for shape reliability in modeling contour-derived topographic properties for use in soil–terrain correlation. CATENA 74:2, pages 165-174.
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WenZhong Shi. (2008) Modeling uncertainty in geographic information and analysis. Science in China Series E: Technological Sciences 51:S1, pages 38-47.
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Feras M Ziadat. (2007) Effect of Contour Intervals and Grid Cell Size on the Accuracy of DEMs and Slope Derivatives. Transactions in GIS 11:1, pages 67-81.
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Daniel Schlapfer, Jens Nieke & Klaus I. Itten. (2007) Spatial PSF Nonuniformity Effects in Airborne Pushbroom Imaging Spectrometry Data. IEEE Transactions on Geoscience and Remote Sensing 45:2, pages 458-468.
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Jacopo Grazzini & Pierre Soille. 2007. Computer Analysis of Images and Patterns. Computer Analysis of Images and Patterns 742 750 .
Marcos Llobera. 2006. Classics from IJGIS. Classics from IJGIS 513 546 .
Jing Li, George Taylor & David B. Kidner. (2005) Accuracy and reliability of map-matched GPS coordinates: the dependence on terrain model resolution and interpolation algorithm. Computers & Geosciences 31:2, pages 241-251.
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George Taylor, Jing Li, David Kidner & Mark Ware. 2005. Web and Wireless Geographical Information Systems. Web and Wireless Geographical Information Systems 281 295 .

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