| 基于加权长度的交通网络分形维数 |
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| 引用本文： | 冯永玖,刘妙龙,童小华.基于加权长度的交通网络分形维数[J].复杂系统与复杂性科学,2007,4(4):32-37. |
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| 作者姓名： | 冯永玖 刘妙龙 童小华 |
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| 作者单位： | 同济大学测量与国土信息工程系,上海,200092 |
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| 基金项目： | 教育部跨世纪优秀人才培养计划
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上海市青年科技启明星计划
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同济大学现代工程测量国家测绘局重点实验室资助项目 |
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| 摘 要： | 刻画交通网络的分形特性需要适合的指标,半径维数便是其中一种重要的测度.可以类比于分形体的容量维数.由于组成交通网络的公路具有多种类型和等级,仅用半径维数不足以反映公路交通网络的结构特性.论文提出了一种基于加权长度的交通网络分形维数,即在模拟各等级公路比重变化的情况下,给不同等级公路加以适当权重,这样得到的分形维数,即为加权半径维数.结果表明,加权半径维数是刻画交通网络分形结构比较适合的指标.
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| 关 键 词： | 交通网络 分形理论 加权半径维数 |
| 文章编号： | 1672-3813（2007）04-0032-06 |
| 收稿时间： | 2007-05-21 |
| 修稿时间： | 2007年5月21日 |
Fractal Dimension of Transportation Networks Based on Weighted Length |
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| Authors: | FENG Yong-jiu LIU Miao-long TONG Xiao-hua |
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| Abstract: | Rational indexes are needed in order to Originated from highway transportation networks, characterize transportation networks fractal objectively. radial dimension is one of these measurements equals information dimension of fractals. However, taking no account of the grade of highway, the index can not completely reflect the structural characters of highway transportation networks. Therefore, weighted radial dimension, a novel measurement of transportation networks is put forward in this paper. In order to reflect different grade of highways,different weight is assigned to different highways, thus a fractal dimension is obtained,and is called weighted radial dimension. The results suggest that weighted radial dimension is a fine measurement of transportation networks. |
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| Keywords: | transportation networks fractal theory weighted radial dimension |
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