On the fractal structure and statistics of contour lines on a self-affine surface
On the fractal structure and statistics of contour lines on a self-affine surface
复制标题
自仿射曲面上的分形结构与等高线统计
DOI：
10.1143/jpsj.60.2109
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发表时间：
1991
影响因子：
1.7
通讯作者：
K. Honda
中科院分区：
文献类型：
--
作者：
M. Matsushita;S. Ouchi;K. Honda
Contour lines of a self-affine surface with a specified value of Hurst exponent H show certain special characteristics in fractal structure and statistics. The first argument is that the fractal dimension D e of an entire pattern formed by contour lines of the same altitude, similar to coastlines, should be distinguished from the fractal dimension D c of single contour lines. It is then confirmed that D e =2- H . The exponent ζ characterizing a power-law form of the size distribution of closed contour lines, similar to islands, is found to be equal to D e . Self-avoiding fractional Brownian motion is newly introduced to derive a new scaling law D c =2/(1+ H ).
