邓敏, 陈杰, 李志林. 计算地图线目标分形维数的缓冲区方法[J]. 武汉大学学报 ( 信息科学版), 2009, 34(6): 745-747.
引用本文: 邓敏, 陈杰, 李志林. 计算地图线目标分形维数的缓冲区方法[J]. 武汉大学学报 ( 信息科学版), 2009, 34(6): 745-747.
DENG Min, CHEN Jie, LI Zhilin. A Buffering Based Method for Fractal Dimension of a Line Feature[J]. Geomatics and Information Science of Wuhan University, 2009, 34(6): 745-747.
Citation: DENG Min, CHEN Jie, LI Zhilin. A Buffering Based Method for Fractal Dimension of a Line Feature[J]. Geomatics and Information Science of Wuhan University, 2009, 34(6): 745-747.

计算地图线目标分形维数的缓冲区方法

A Buffering Based Method for Fractal Dimension of a Line Feature

  • 摘要: 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。

     

    Abstract: Fractal dimension is one of key concepts in fractal geometry,and is used as a statistical 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.There-fore 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.

     

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