Multifractals of Surface Microstructures by Wavelet Transform.
Yoji Shibutani, Hiroshi Kitagawa · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 1995
Wavelet transform has recently been applied to the analyses of seismic or acoustic data in place of the Fourier transform. This integral transform using the localized kernel function can extract microscopic characteristic features at any location (time) with an arbitrary intensification, from the original sequential data. One of the most attractive applications of this transform is to multifractal analysis. In the present work, the eligibility of this application is first confirmed for the Cantor sets and Koch curves, the fractal dimensions of which are known exactly. Then it is applied to interfacial roughness data of the metal-polymer laminated material reported in the previous paper. We find that this method enables identification of the local inhomogeneous fractal properties including distinction from the nonfractal region or the bounds of the scale showing self-similarity.