基于小波分析的地形多分辨率建模方法

以提高运算效率和存储效率为目的研究了基于小波的数字高程模型（DEM，Digital Elevation Model）数据的多分辨率建模，根据DEM的数据特点在Mallat多分辨率分析算法的基础上，提出了基于小波分析的DEM数据多分辨率建模算法，对算法实现过程中的小波函数以及边界延拓方式的选取进行了阐述，提出了评价建模精度的相关指标，并通过仿真实验确定了恰当的小波参数.仿真结果表明，小波分析法是实现DEM多分辨率建模的有效方法，同时保证了良好的运算效率和存储效率.该方法可应用于地形的快速可视化、飞行器的动态和静态航路规划等工程应用中.

Multi-resolution modeling of terrain based on wavelet analysis

Through wavelet analysis of signal, multi-resolution modeling of digital elevation model (DEM) for the purpose of improving operational efficiency and storage efficiency was studied. According to the characteristics of DEM, on the base of Mallat's multi-resolution analysis (MRA) algorithm, a method for multi-resolution modeling based on wavelet analysis was presented. Then the principles for choosing the fittest wavelet function and boundary extension mode were analyzed. Also a way and several corresponding indexes on evaluating the accuracy of modeling were given. Through simulations, the best wavelet transform parameters were found. Simulation results show that wavelet analysis can be an effective way to achieve DEM data's multi-resolution modeling while operational efficiency and storage efficiency can both be guaranteed. This method can be applied to various engineering such as terrain's quick visualization and aircraft's dynamic or static path planning.