一种基于信息盒维数的DEM适宜分辨率确定方法

Optimizing DEM Resolution with Information Box Dimension

分辨率是DEM的重要尺度参数,但并不是分辨率越高越好,合适的DEM分辨率既可高精度的反映地形地貌特征,又可避免数据冗余。利用分形能够定量刻画自然地形特征的特点,该文提出一种基于信息盒维数的DEM适宜分辨率确定方法,基于原始DEM数据计算信息盒维数,分析信息盒维数与分辨率的关系,当从某个点开始信息盒维数值变化缓慢且趋于稳定,该点即为确定的适宜DEM分辨率。最后通过资源三号卫星数据生成的DEM数据针对不同平原、丘陵、高山等典型地形确定适宜的分辨率,对该文方法进行了验证。

The resolution is an important scale parameter of DEM,but this does not mean that it is better when resolution is higher.Appropriate resolution can express terrain features precisely and avoid the redundancy of DEM data.This paper puts forward a method of determining appropriate resolution of DEM based on information box dimensions,by using the character that natural terrain features can be quantified by fractal theory.First,information box dimensions are calculated from original DEM data.Then the relationship between information box dimensions and resolution is studied and analyzed.When the value of information box dimension changes slowly and tends to stabilize,this point just determines the appropriate resolution.Finally this paper conducts experiments by determining appropriate resolution of DEM data for typical terrain includes plains,hills,and mountains,which generated from Ziyuan3 Satellite data.The proposed method is validated through these experiments.