基于GIS和分形理论研究的海岸线图像和分维以及长度  

RESEARCH ON THE FRACTAL SIMULATION IMAGE AND THE FRACTAL DIMENSION AND LENGTH OF COASTLINE BASED ON GIS AND FRACTAL THEORY

作　　者：周江[1] 印萍[2] 程荡敌 方晶[1] 岳军[4] 

机构地区：[1]天津师范大学城市与环境科学学院,天津300387 [2]青岛海洋地质研究所,青岛266071 [3]天津市委党校基础部,天津300191 [4]天津地质矿产研究所,天津300170

出　　处：《海洋地质与第四纪地质》2008年第4期65-71,共7页Marine Geology & Quaternary Geology

基　　金：国土资源部基金项目(40201052);“天津宁河石综合地质调查研究”津国防任项目([2004]010)

摘　　要：分形理论对于海岸线性质的研究具有重要作用,分形插值方法作为处理此类问题的全新手段,可以根据少量数据刻划景物特征,产生预期的景物图像。扼要介绍了分形插值函数,据此可得到景物曲线的分形模拟图像、分维和长度。在此基础上,结合Visual Basic环境和国产全组件式GIS软件SuperMap Objects组件开发平台,开发相应的分形插值计算系统,然后以天津市海岸线为实例,实现海岸线的分形模拟图像,计算出海岸线分维,并归算得到海岸线的实际分形长度。结果表明,应用分形插值系统可以一举获得海岸线的分形模拟图像、分维和长度。Fractal theory has been one of the most important tools for studying coastline character. Fractal interpolation, as a new method to deal with such problems, may create prospective scene image based on a few data of the characteristics of the scene. The fractal interpolation functions are introduced briefly that can deduce the fractal simulation image and the fractal dimension and length of scene curve. On the basis of the above discussion, the fractal interpolation calculation system is developed by selecting Visual Basic as development environment and SuperMap Objects as ActiveX. And taking Tianjin coastline as an example, we use the system to establish fractal simulation image of the coastline, to calculate fractal dimension of the coastline and length of the coastline. The results show that the fractal simulation image, fractal dimension and length of the coastline can be obtained at one fling by applying fraetal interpolation function.

关 键 词：GIS 海岸线 分形图像 分维 分形插值函数 

分 类 号：P714[天文地球—海洋科学]