分形维数是分形几何中一个非常重要的概念,并用于定量表示分形体的不规则性和复杂性或空间填充度量的程度。分析了较为常用的两种分形维数计算方法,即计盒法和步长法,指出了它们在计算中存在的问题,提出了一种基于Buffer的计算方法,该方法能够克服现有常用方法的不足,并且在现有的GIS软件(如Arcview)中容易实现,并通过实验验证了所提方法的有效性。
Fractal dimension is one of key concepts in fractal geometry, and is used as a sta- tistical quantity that gives an indication of the complexity of a fractal or how completely a fractal appears to fill space. Many methods have so far been developed for the calculation of fractal dimension. We propose a new method based on a series of buffering operation. Therefore it is named a buffering based method. In fact, the method is performed well through an experiment, and it is easily implemented by GIS software, e. g. , Arcview.