Fractal Theory and its Application in Studying the Feature of Landforms
It had been proved that the trends of the mountains, the shapes of the rivers, even the distribution of the various plants had the characteristics of fractal. Fractal and multi-fractal can be used to describe complex geometric shapes such as regular Cantor sets with non-uniform mass distributions. Investigation indicated that fractal and multi-fractal theory had been used widely in scientific field. In the past few years, fractal and multi-fractal had also been found to have important applications to characterize the terrains with the feature of complicity and irregularity. In this paper, the meaning of parameters of multi-fractal spectrum was discussed in detail at first, then simple dimension and merits of the multi-fractal characterization were defined respectively. Finally, taking the mountain landslide as example, we compared indices of simple fractal dimension and multi-fractal spectra of the area before landslide with those of the same area after the mountain slide; also we tried to explain the difference between these two groups of indices.
Jiang-dong CAI Qing YOU
Dept.of Civil Engineering Huaiyin Institute of Technology Huai’an City, China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
440-444
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）