Results 21 to 30 of about 130,460 (340)
Seepage–Fractal Model of Embankment Soil and Its Application
Fractal and Fractional, 2022 Over time and across space, the hydraulic conductivity, fractal dimension, and porosity of embankment soil have strong randomness, which makes analyzing seepage fields difficult, affecting embankment risk analysis and early disaster warning.
Xiaoming Zhao +4 more
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Trans-scale relationship analysis between the pore structure and macro parameters of backfill and slurry [PDF]
Royal Society Open Science, 2019 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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On the Fractal Dimension of Isosurfaces [PDF]
IEEE Transactions on Visualization and Computer Graphics, 2010 A (3D) scalar grid is a regular n1 x n2 x n3 grid of vertices where each vertex v is associated with some scalar value sv. Applying trilinear interpolation, the scalar grid determines a scalar function g where g(v) = sv for each grid vertex v. An isosurface with isovalue σ is a triangular mesh which approximates the level set g(-1)(σ).
Rephael Wenger, Marc Khoury
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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 ...
Manuel Fernández-Martínez +1 more
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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 +31 more
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, 2022 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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Fractal Dimensions of Macromolecular Structures [PDF]
Molecular Informatics, 2014 AbstractQuantifying the properties of macromolecules is a prerequisite for understanding their roles in biochemical processes. One of the less‐explored geometric features of macromolecules is molecular surface irregularity, or ‘roughness’, which can be measured in terms of fractal dimension (D).
Todoroff, Nickolay +5 more
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Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]
E3S Web of ConferencesIn 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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A note on the fractal dimension [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995 This paper gives a very slight generalization of a dimension formula in \textit{M. Barnsley's} book ``Fractals everywhere'' (1988; Zbl 0691.58001).
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