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中文摘要：
为了提高Gass—Seidel（GS）算法的收敛速度，提出了改进的GS算法（MGs），用于解算高精度曲面模型（HASM）（HASM—MGS）。以高斯合成曲面为研究对象，将HASM—MGS与HASM—GS和Matlab提供的函数进行对比，结果表明，达到相同的模拟中误差，HASM—MGS计算时间远小于HASM—GS和Matlab提供的函数；HASMMGS计算时间与模拟区域的网格数呈非常好的线性关系，时间复杂度比传统的方法降低两个数量级。
英文摘要：
High accuracy surface modelling （HASM） constructed based on the fundamental theorem of surfaces is more accurate than the classical methods. But HASM must solve a big sparse linear systems. Gauss-Seidel （GS） can be considered as the first method for solving the linear systems. In order to decrease the computation costs and improve the accuracy of HASM, we employed a modified Gauss-Seidel （HASM MGS） to solve the linear systems of HASM. Gauss synthetic surface was selected as the research object. We proved that HASM MGS is more accurate than HASM-GS and the classical methods used in Matlab. The com- putation time of HASM MGS is approximately proportional to the one power of the total number of grid cells, which can be considered as a big improvement in solving HASM systems.
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An Adaptive Method of High Accuracy Surface Modeling and Its Application to Simulating Elevation Sur
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