| 度量映射方法在河流分维测算中的应用 |
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| 引用本文： | 罗传文,赵蕊,李继红.度量映射方法在河流分维测算中的应用[J].武汉大学学报(信息科学版),2006,31(5):444-447. |
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| 作者姓名： | 罗传文 赵蕊 李继红 |
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| 作者单位： | 东北林业大学林学院,哈尔滨市和兴路26号,150040 |
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| 基金项目： | 国家自然科学基金;国家基础规划研究项目 |
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| 摘 要： | 应用TM卫星图像数据，根据对黑龙江省阿什河约80km河段、松花江及嫩江约2300km河段的分维研究。证明了在度量数列满足持邻性和等比收敛性的条件下。可以应用度量映射方法计算随机分形集的分维。研究表明，黑龙江省阿什河河段（约80km）的分维比松花江和嫩江河段（约2300km）的分维高；曲线的分维一定要与标度的变化区间联系起来，否则分维将失去可比性；河流的分维不仅与标度有关，还与矢量化时原图像的分辨率有关。
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| 关 键 词： | 度量映射 均匀度 河流分维 持邻性 等比收敛 |
| 文章编号： | 1671-8860(2006)05-0444-04 |
| 修稿时间： | 2005年12月10 |
Application of Measuring Mapping Method on Calculating Fracatal Dimension of River |
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| LUO Chuanwen,ZHAO Rui,LI Jihong.Application of Measuring Mapping Method on Calculating Fracatal Dimension of River[J].Geomatics and Information Science of Wuhan University,2006,31(5):444-447. |
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| Authors: | LUO Chuanwen ZHAO Rui LI Jihong |
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| Abstract: | The fractal dimension research on reaches of Arshi River(about 80 km),Songhua River and Nenjiang River(about 2 300 km) in Heilongjiang Province prove that we can utilize measuring mapping method to calculate the fractal dimension of random fractals under some suppositions.The research shows the fractal dimension on reaches of Arshi river((about) 80 km) is higher than that of Songhua River and Nenjiang River(about 2 300 km).Noticeably,the fractal dimension of curve must contact with yardstick variable interval,otherwise it is incomparable.Moreover,the fractal dimension of river is related not only with the yardstick,but also with the resolving power of original image before vector. |
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| Keywords: | measuring mapping uniformity fractal dimension of river keeping neighborhood property geometric proportion convergence |
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