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分形理论在空间网络分布特征研究中的应用
引用本文:许志海,翟京生. 分形理论在空间网络分布特征研究中的应用[J]. 海洋测绘, 2005, 25(6): 26-28,33
作者姓名:许志海  翟京生
作者单位:解放军信息工程大学,测绘学院,河南,郑州,450052;海军海洋测绘研究所,天津,300061
摘    要:探讨了以图论为基础的空间网络的测度方法,以及以分形理论为基础的表达空间网络分布特征的几种分维数,并阐述了各种分维数的地理意义,最后对于分维数的测算进行了评述.

关 键 词:空间网络  图论  分形理论  分维
文章编号:1671-3044(2005)06-0026-03
收稿时间:2005-09-30
修稿时间:2005-09-30

Applications of Fractal Theory in the Study of Distribution Characters of Spatial Networks
XU Zhi-hai,ZHAI Jing-sheng. Applications of Fractal Theory in the Study of Distribution Characters of Spatial Networks[J]. Hydrographic Surveying and Charting, 2005, 25(6): 26-28,33
Authors:XU Zhi-hai  ZHAI Jing-sheng
Affiliation:1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou, Henan ,450052; 2. Naval Institute of Hydrographic Surveying and Charting ,Tianjin ,300061
Abstract:It discusses the measure index of spatial networks based on the graph theory and several fractal dimensions of characterizing the structure of spatial networks based on the fractal theory. The geographical meaning of each kind of dimension is illustrated. Finally some conclusions are given to describe how to calculate actual dimension.
Keywords:spatial networks   graph theory   fractal theory   fractal dimension
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