基于复化公式的DEM表面积算法分析

The Analysis of DEM Surface Area Based on Composed Calculus Algorithms

地形因子(诸如表面积)的计算是地形分析的一个重要部分。文中将正方形格网划分为三角形格网;并对正方形格网分别运用复化梯形公式、复化Simpson公式和复化Cotes公式,对DEM表面积进行实验;计算空间曲面表面积,分析其精度。结果表明,复化Simpson公式具有较好的效果。

Digital Elevation Model （ DEM ） is a kind of discrete numerical expression to the earth surface, while the analysis of terrain is now recognized as a key measure in cognizing the environment of terrain. Therefore, it is an important part to calculate the basic terrain factor （such as surface area）. Based on four calculus algorithms, this paper carries out an experiment on the area of DEM surface, then analyzes and compares the results of calculation. Results indicate Simpson formula in grid is more effect.