On the Fractal Dimension of Isosurfaces [PDF]
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).
Marc Khoury, Rephael Wenger
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Combining topology and fractal dimension of fracture networks to characterise structural domains in thrusted limestones [PDF]
Fractures in limestones of the Palaeocene Lockhart Formation in the hanging wall of the Himalayan Main Boundary Thrust north of Islamabad are examined, and the data analysed using a combination of topology and fractal dimension to characterise fracture ...
Leslie, G +4 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
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THE FRACTAL DIMENSION OF AN OIL SPRAY [PDF]
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 +3 more
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The practical application of fractal dimension in water treatment practice-the impact of polymer dosing [PDF]
The application of floc fractal dimension has been investigated in this work to determine if this parameter can have operational significance in water treatment.
Jefferson, Bruce +4 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 Dimensions of Macromolecular Structures [PDF]
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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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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Signal Pattern Recognition Based on Fractal Features and Machine Learning
As a typical pattern recognition method, communication signal modulation involves many complicated factors. Fractal theory can be used for signal modulation feature extraction and recognition because of its good ability to express complex information. In
Chang-Ting Shi
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