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Abstract
An innovative method, high-accuracy surface modelling (HASM), is presented, which is based on the fundamental theorem of surfaces. The fundamental theorem of surfaces makes sure that a surface is uniquely defined by the first and second fundamental coefficients. Numerical tests of a Gaussian synthetic surface show that the Root Mean Square Error of the HASM method is much less than the ones of classical methods, such as the Triangulated Irregular Network, Spline, Inverse Distance Weight and Kriging methods. The HASM method gives a solution to the error problem that has long troubled generations of digital elevation models. All the methods for surface modelling are used to simulate a Digital Elevation Map (DEM) of Qian-Yan-Zhou Experimental Station for Red Soil and Hilly Land, which has a great topographical variety. Shaded relief maps of the simulated DEMs are developed to represent the terrain relief of Qian-Yan-Zhou Experimental Station, which shows that simulation results of the HASM method are much better than the ones of classical methods.
Acknowledgements
This work is supported by the Major Directivity Projects of Chinese Academy of Science (kzcx2-yw-429 and kzcx2-yw-308), by the National Key Technologies R&D Program of the Ministry of Science and Technology of the People's Republic of China (2006BAC08B04), by the One-Hundred Outstanding Scientists Project of the Chinese Academy of Sciences (KZCX0504), by the National High-tech R&D Program of the Ministry of Science and Technology of the People's Republic of China (2006AA12Z219) and by the International Cooperation Program for Science and Technology (2006DFB919201).
