海岸线分维数计算方法及其比较研究

Coastline Fractal Dimension Caculation Methods and Their Comparative Study

海岸线是分形领域最传统的研究课题 ,但是在目前的海岸线研究中却忽略了一个重要且根本性的问题 ,那就是海岸线分维数不同计算方法之间是否存在着一定的差异 ,根据不同计算方法计算所得的分维数之间是否具有可比性。在概述海岸线分维数计算方法的基础上 ,分析了它们之间的异同 ,并进行了实证研究。指出 :使用量规法、网格法计算所得海岸线分维数结果之间存在着客观的差异 ,文中利用量规法计算所得的海岸线分维数结果大于使用网格法计算所得的海岸线分维数结果。

Coastline is a traditional object of fractal research, and the difference between the coastline fractal dimensions calculated by different calculation methods and their comparability are basic problems with the coastline study. In this paper, the coastline fractal dimension calculation methods are overviewed, the similarities and differences between these methods are analysed, and the case studies are made. It is shown from the analysis results that there are objective differences between the coastline fractal dimensions calculated by the box counting method and the divider method, and the coastline fractal dimensions calculated by the divider method are greater than those by the box counting method.