<p>Fractal spectrums ƒ(α)-α of randomized fractal pictures were obtained, in which 8 parameters were used as characteristic quantities. αmin: The minimum value of singular exponent α; αmax: The maximum value of singular exponent α; ƒmin: Value of multiple fractal spectrum ƒ(α) corresponding to αmin; ƒmax Value of multiple fractal spectrum ƒ(α) corresponding to αmax; Spectral width: Value of αmax-αmin;; Spectral difference: Value of ƒmax-ƒmin;αd: Value of singular exponent α that resulted in maximum value of ƒ(α); B: One of the parameter in quadratic fit curve of ƒ(α), also termed as asymmetry degree.<br></p
(a) Original image. (b) Otsu quantitatively image. (c)-(f) Four thresholded binary images obtained f...
Software used to determine multifractal spectra: Generalized dimensions Dq and spectrum of singulari...
Nonlinear physics presents us with a perplexing variety of complicated fractal objects and strange s...
Multifractal probability distributions are defined as mixture of n monofractal distributions. The ex...
<p><i>α</i><sub>min</sub>− the minimum value of singularity strength; <i>α</i><sub>max</sub>−the max...
Two measures are commonly used to describe scale-invariant complexity in images: fractal dimension (...
Simple fractal dimensions have been proposed for use in the analysis of the characteristics of digit...
A computer program has been written for the determination of the D fractal dimension at low scale, o...
I derived a method for calculating the approximate fractal dimension (D) from a set of N values y sa...
International audienceMultifractal analysis is a tool allowing for a detailed analysis of the singul...
In this paper, the term, fractal phase structure is presented. The recurrence formulas of Fourier sp...
OBJECTIVE: Nuclear pleomorphism (nuclear membrane irregularity) was investigated using transmission ...
The exact mathematical relationship between FFT spectrum and fractal dimension (FD) of an experiment...
Fractal analysis has become a popular method in all branches of scientific investigation including e...
<p>Exponents describing the fractal dimensionality for each of the ratios employed in Experiments 1,...
(a) Original image. (b) Otsu quantitatively image. (c)-(f) Four thresholded binary images obtained f...
Software used to determine multifractal spectra: Generalized dimensions Dq and spectrum of singulari...
Nonlinear physics presents us with a perplexing variety of complicated fractal objects and strange s...
Multifractal probability distributions are defined as mixture of n monofractal distributions. The ex...
<p><i>α</i><sub>min</sub>− the minimum value of singularity strength; <i>α</i><sub>max</sub>−the max...
Two measures are commonly used to describe scale-invariant complexity in images: fractal dimension (...
Simple fractal dimensions have been proposed for use in the analysis of the characteristics of digit...
A computer program has been written for the determination of the D fractal dimension at low scale, o...
I derived a method for calculating the approximate fractal dimension (D) from a set of N values y sa...
International audienceMultifractal analysis is a tool allowing for a detailed analysis of the singul...
In this paper, the term, fractal phase structure is presented. The recurrence formulas of Fourier sp...
OBJECTIVE: Nuclear pleomorphism (nuclear membrane irregularity) was investigated using transmission ...
The exact mathematical relationship between FFT spectrum and fractal dimension (FD) of an experiment...
Fractal analysis has become a popular method in all branches of scientific investigation including e...
<p>Exponents describing the fractal dimensionality for each of the ratios employed in Experiments 1,...
(a) Original image. (b) Otsu quantitatively image. (c)-(f) Four thresholded binary images obtained f...
Software used to determine multifractal spectra: Generalized dimensions Dq and spectrum of singulari...
Nonlinear physics presents us with a perplexing variety of complicated fractal objects and strange s...