Results 11 to 20 of about 129,909 (293)

Modeling Urban Growth and Form with Spatial Entropy

Complexity, 2020
Entropy is one of the physical bases for the fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy. Using the fractal dimension, we can describe urban growth and form and characterize spatial complexity.
Yanguang Chen
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Classical Liquids in Fractal Dimension [PDF]

Physical Review Letters, 2015
We introduce fractal liquids by generalizing classical liquids of integer dimensions $d = 1, 2, 3$ to a fractal dimension $d_f$. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same non-integer dimension.
Heinen, Marco, Schnyder, Simon K., Brady, John F., Löwen, Hartmut   +3 more
openaire   +7 more sources

Stage division of urban growth based on logistic model of fractal dimension curves

Results in Physics, 2023
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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Fractal dimension for fractal structures

Topology and its Applications, 2014
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., Sánchez-Granero, M. A.   +1 more
openaire   +3 more sources

Application of Fractal Dimension for Quantifying Noise Texture in Computed Tomography Images [PDF]

, 2018
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., Fan, Jiahua, Khobragade, P., Rupcich, Franco, Schmidt, Taly Gilat   +4 more
core   +2 more sources

Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]

, 2011
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, Bouligand, Brigham, Bruno, Chan, Chappard, Chen, Costa, Douady, Dougherty, Duvall, Fabbri, Falconer, Han, J.B. Florindo, Jones, Landini, Lapidus, Lebedev, Mandelbrot, O.M. Bruno, Oleschko, Plotze, Prusinkiewicz, Quevedo, Quevedo, Russ, Scarlat, Stoyan, Timbo, Tricot, Zhang   +31 more
core   +1 more source

Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]

E3S Web of Conferences
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
doaj   +1 more source

Using fractal characteristics to analyze the development of whole-rolled wheel destruction [PDF]

MATEC Web of Conferences, 2020
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, Gubenko Svetlana, Ivanov Igor, Urushev Sergey   +3 more
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THE FRACTAL DIMENSION OF AN OIL SPRAY [PDF]

Fractals, 2003
We study the fractal dimension of the contour of the liquid-gas interface in a spray. Our images include both the linking region and the break-up region, and are obtained with a high-resolution shadowgraph technique. This means that the images can then be subjected to an intensity filtering, equivalent to a threshold analysis, that enables the ...
Castrejón García, R, Sarmiento Galán, A, Pita, C, Castrejón Pita, A   +3 more
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Ultimate state and probability of particle breakage for rockfill materials based on fractal theory

Yantu gongcheng xuebao, 2021
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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