地形数学模型建立的新方法

A New Method for Terrain Modeling

地形数学模型的建立能更好地理解地形结构和特征，提高地理数据处理与分析的水平．针对自然地形的不规则性和复杂性，本文提出了从地形数据自动建立地形数学模型的新方法，给出了描述地形结构特征的两类地形数学模型：分形地形田fBm模型和地形回归模型．试验表明，本文的方法能够较好描述地形的结构和特征，并可有效地用于对地形的生成与模拟、地形表面的重建以及地形结构的分析．

Mathematical modeling is very important for comprehension of terrain structure and improving itsautomatic manipulation and analpsis. In accorance with its irregularity and complexity, this paper proposes aas method tO extract mathematical model from rtal digital terrain data and presents two kinds of terrain models,Fractal fBm model nd structural-regressive model. These presented models are very useful for representation of ter-rain structure and feature and can be used in the areas of terrain, terain surface reconstruction and ter-rain statistical analpsis