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地理科学 >

1994 , Vol. 14 >Issue 1: 9 - 15

DOI: https://doi.org/10.13249/j.cnki.sgs.1994.01.9

论文

地理现象分形研究

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  • 1. 中国科学院南京地理与湖泊研究所, 南京210008;
    2. 南京大学数学系, 南京210008

收稿日期: 1992-09-01

  网络出版日期: 1994-01-20

基金资助

国家自然科学基金资助项目[49271057].

收起

THE FRACTAL APPROACH TO GEOGRAPHICAL PHENOMENA

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  • 1. Nanjing Institute of Geography & Limnology, Academia Sinica, Nanjing 210008;
    2. Department of Mathematics, Nanjing University, Nanjing 210008

Received date: 1992-09-01

  Online published: 1994-01-20

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摘要

通过闽江流域水系分形和太湖地区癌症分形研究,阐述了河流、水系和社会经济现象具有分形特征,说明分维定量描述地理现象的优点.并且在遥感图像处理上应用分形特征,达到信息压缩,重构图像精度高的目标.种种试验表明分形概念十分有助于地理研究.

本文引用格式

赵锐, 赵宏, 何隆华, 顾其钧, 杨海浪 . 地理现象分形研究[J]. 地理科学, 1994 , 14(1) : 9 -15 . DOI: 10.13249/j.cnki.sgs.1994.01.9

Abstract

The study on the fractal of the Minjiang River system and the cancer fractal of Tai-hu Lake reveals that rivers,water systems and social economic phenomena have fractal features,showing the merits of fractal dimension and quantitatively describing geograph-ic phenomena. And the application of fractal features to remote sensing image processing can reach the goal of information compressing and reconstituting image accuracy. These experiments show that fractal theory is very useful to geographic research.

参考文献

[1] 高安秀树著.分数维.沈步明等译.北京:地展出版社,1989. 7.
[2] Feder J.Fractals.New York:Plenum Press.1988.9~12.
[3] Nina Siu-Ngan Lam & Lee de Cola. Fractals in Geography. PTR prentice Ha1l,Englewood cliffs,New Jersey,1993.142~155.
[4] Scholz C H,Mandelbrot B B. Fractals in Geophisics. Birknauser verlag,Basel,Boston,Berlin,1989. 21.
[5] Falconer K J. Fractal Geometry Mathematical Foundations and Applications. Wiley,1990. 5.
[6] Brammer R F. Unified Amputing Based on Fractals and Chaos Model Techniques. Optical Engineering,1989. 28(7):726~734.
[7] Mandelbrot B B. The Fractal Geometry of Nature. Freeman ,San Francisco,1982. 11~13.
[8] David M,Mark,Peter B Aronson.Scale-Dependent Fractal Dimensions of Topographic Surfaces;An Empirical Investigation,with Applications in Geomorphology and Computer Mapping. Mathematical Geology,1984,16(7):671~683.
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