マリモ状トリーパターンのβ-マルチフラクタル解析

概要

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In this paper aegagropila-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, the computations of the dimensions are made by the cover method. Results obtained are : In case of dividing picture areas 10 bits over as the one side of square, β-multifractal dimension of aegagropila-type tree pattern is constantly equal to values independently of moment order q. In case of dividing 10 bits as the one side of square, β-multifractal dimension fluctuates when impressed time increases from 1[min] to 40 [min], but without influencing time, β-multifractal dimension is constantly equal to l.8∿1.9 except for 10 bits as the one side of square. When β-multifractal dimension is compared with the conventional multifractal dimension, overall fluctuating of multifractal dimension which is connected with moment order q is suitable to β-multifractal dimension.
東海大学の論文