A Critical Exponent Method to Evaluate Fractal Dimensions of Self-Affine Data
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概要
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A new method is proposed to evaluate the fractal dimensions of the self-affine data whose power spectra are in accord with a power law. It is on the ground of the logarithmic divergence of the moment of the power spectrum. From a crossover point of the logarithmic behaviour, a critical exponent of the moment can be obtained and related to the fractal dimension. A practical application involves an evaluation of the fractal dimensions of such self-affine data as vowels. As a result of the analyses of the critical behaviour of their moments, those dimensions are found to range over 1.60〜1.71.
- 社団法人日本物理学会の論文
- 1993-12-15
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