DEM数据谷地分维值的估算

Estimating the Fractal Dimension Value of Valley Based on DEM Data

提出了一种基于DEM数据的谷地分维估算方法,该方法以汇水量阈值为标度,基于谷地形态的自相似性确定汇水量的无标度区间,在无标度区间内通过谷底线长度与汇水量阈值的线性拟合计算谷地的长度分维,通过谷地平均分叉比与平均长度比的比值逼近谷地网络的结构分维值。实验表明,基于本文方法计算的谷地分维值符合不同地貌类型流域水系的形态结构特征。

In this paper, we present an approach to estimate the valley fractal dimension value based on DEM data. The flow accumulation is selected as scale and the scale-free range is selected based on the valley shape self-similarity analysis. Within scale-free range, the length fractal dimension of valley line is calculated by the linear fitting of the threshold value and the valley length, the structure fractal dimension is calculated by the average fractal dimension of multi-scale drainage networks. Experimental studies show that the approach of estimating the valley fractal dimension value proposed in this pa- per can better meet the morphological structure of basin water.