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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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Modeling Urban Growth and Form with Spatial Entropy
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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Detect Flame Fire Using Fractal Geometry in Color Digital Images [PDF]
Pattern recognition, which takes features extraction as a basis for decision making, is considered as of the cutting-edge technologies. It is used in various useful applications such as tracking and monitoring objects.
Laheeb Ibrahim+2 more
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We mainly focus on the Permian, Lower Cambrian, Lower Silurian, and Upper Ordovician Formation; the fractal dimensions of marine shales in southern China were calculated using the FHH fractal model based on the low-pressure nitrogen adsorption analysis ...
Jian Xiong, Xiangjun Liu, Lixi Liang
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Understanding the Fractal Dimensions of Urban Forms through Spatial Entropy
The spatial patterns and processes of cities can be described with various entropy functions. However, spatial entropy always depends on the scale of measurement, and it is difficult to find a characteristic value for it.
Yanguang Chen, Jiejing Wang, Jian Feng
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Fractal Dimension of Fracture Surface in Rock Material after High Temperature
Experiments on granite specimens after different high temperature under uniaxial compression were conducted and the fracture surfaces were observed by scanning electron microscope (SEM).
Z. Z. Zhang
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Low-frequency seismic disturbances frequently induce violent rockburst hazards, seriously threatening the safety of deep excavation and mining engineering.
Lihua Hu+3 more
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Fractal analysis of leaves: are all leaves self-similar along the cane?
The fractal dimension can be used to quantify the shape of a natural curve. Curves with similar degrees of irregularity will tend to have the same fractal dimension.
Gazda Anna
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Fractal Properties and Characterizations [PDF]
There are three important types of structural properties that remain unchanged under the structural transformation of condensed matter physics and chemistry. They are the properties that remain unchanged under the structural periodic transformation-periodic properties. The properties that remain unchanged under the structural multi scale transformation-
arxiv
Particle Composition and Fractal Dimension Vary with Land Management for Soils in Coastal Regions
【Objective】 Soil particle composition and its fractal dimension are a parameter to characterize soil physical property; they are closely correlated to soil fertility and productivity.
ZHU Yun+4 more
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