基于GIS和DEM的水系三维分形计盒维数的计算

Calculation of 3D Box Dimension of River System Based on GIS and DEM

实现具有三维立体特征的河网水系分形维数的准确计算,是目前分形地貌学面临的主要问题之一。该文依据三维分形计盒维数的基本原理,提出基于DEM和ArcGIS的水系三维分形计盒维数的计算方法,并以湖北省恩施市境内水系为例,验证了方法的可靠性,说明三维计盒维数比二维计盒维数更能反映水系的空间分布特征和内部结构。

Calculation of the fractal dimension of 3D river system is one of the major problems in fractal geomorphology. Based on the principle of box counting method, a method to calculate the 3D fractal dimension of river system based on ArcGIS and DEM is proposed. Enshi was used as an example to verify the reliability of this method. The results indicate that 3D box dimension can reflect more information about the spatial distribution and inner structure of river system than 2D box dimension.