一种顾及坡度因子与极值的地表面积计算法

A Method of Terrain Area Calculation in Considering of Slope Factors and Extreme Value

针对局部地形的非线性变化与图形的极值信息对地表面积计算结果的影响,提出了一种顾及坡度因子与图形极值的地表面积计算法,分析了地表面积计算理论与误差。最后以中国西部具有典型地貌特征的两县数据为例进行试验分析。试验结果表明,该方法在一定程度上对局部地形逼近具有一定的改进,宏观上与规格格网交叉对角划线法具有一定的相似度。文中推导的三角网面积传递误差可初步表明考虑局部地形坡度因子与极值的地表面积计算结果可靠性更高。

In connection with the effection of the local terrain slope factors and extreme value to terrain area calculation,a new method that considering of slope factors and extreme value is proposed. The surface area theory and errors are analyzed. Finally the typical two region＇s data of west China are used experiment analysis. The results indicate that the algorithm enhance the terrain fitting,on the macro,the graphic property is similar with the regular grid of cross-diagonal method. The deduce area errors formula indicated that the terrain surface area calculation is more reliable in considering the slope factors and extremevalue.