トリーパターンのβ-マルチフラクタル解析

概要

論文の詳細を見る
In this paper tree-type tree patterns are analyzed using β-multifractal dimension D (β) proposed by M. Inoue, and the relationships between the patterns and the dimension D (β) are discussed together with the conventional multifractal dimension D_q. Computations of the dimensions are made by the cover method. Results obtained are : The local fractal dimensions of the tree patterns are nearly equal one another for any square cell with a side larger than 10 bits independently of moment order q, and the dimensions gradually increase from 1.4 to 1.6 as the applied voltage time T increases from 0.5 to 5 [min]. The conventional multifractal dimension D _q shows stronger local fluctuations in terms of the fractal dimensions with q-order moment compared with those of the β-multifractal dimension D (β).
東海大学の論文