Bispectrum Analysis of Fractal Structures

Naoya Wada, Jun Uozumi, Toshimitsu Asakura · Journal of Modern Optics · 1994

Analytical expressions are derived for bispectra of triadic Cantor sets. The bispectra are numerically evaluated and represented by pseudo-colour patterns. Methods are discussed to derive fractal dimensions of the Cantor sets from their bispectra by making use of two different averaging operations. The results are compared with a similar analysis of power spectra of the fractal objects.

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