Stage division of urban growth based on logistic model of fractal dimension curves
The time series of fractal dimension values of urban form always take on sigmoid curves. The basic model of these curves is logistic function. From the logistic model of fractal dimension curves, we can derive the speed formula and acceleration formula ...
Yanguang Chen
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Trans-scale relationship analysis between the pore structure and macro parameters of backfill and slurry [PDF]
The characteristics of the porous structure of backfill are directly related to the macro parameters of the flowability of the filling slurry and the mechanical features of the backfill, which are fundamental to the study of multiscale mechanics of ...
Jianhua Hu +3 more
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Fractal dimension for fractal structures
The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M. +1 more
openaire +3 more sources
Application of Fractal Dimension for Quantifying Noise Texture in Computed Tomography Images [PDF]
Purpose Evaluation of noise texture information in CT images is important for assessing image quality. Noise texture is often quantified by the noise power spectrum (NPS), which requires numerous image realizations to estimate.
Crotty, Dominic J. +4 more
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Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]
This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour.
Beck +31 more
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Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]
In order to study the relationship between the low-temperature performance of cold-patching asphalt mixtures and the fractal of gradation, 13 groups of SMA-13 gradations were designed, and then the low-temperature performance test of cold-patching ...
Sun Zhao-Hui, Xie Jie-Ru, Guo Ke
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Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of the study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential ...
Bekmirzayev D.A, Uralova I.A
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Using fractal characteristics to analyze the development of whole-rolled wheel destruction [PDF]
Purpose: Determination of mechanical characteristics of wheel steel by analyzing the development of destruction of solid-rolled wheels. Methods: Determination of the crack resistance of all-rolled wheels by testing samples from wheel steel for off-center
Kononov Dmitry +3 more
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Ultimate state and probability of particle breakage for rockfill materials based on fractal theory
In order to study the particle breakage rules of rockfill with fractal gradation, a large-scale triaxial test equipment for coarse soil is used to carry out particle breakage experiments under different confining pressures for scaled rockfill materials ...
CHEN Zi-yu 1, LI Guo-ying 1, WEI Kuang-min 1, WU Li-qiang 2, ZHU Yu-meng 1
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A fractal model for the lightning induced current on a transmission line [PDF]
This article presents a model of a tortuous lightning channel, and a study of the consequent electromagnetic coupling to a transmission line. We analyse the fractal dimension of the induced current on the line, compared with the fractal dimension of the ...
Canavero, Flavio +2 more
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