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Gait recognition using fractal scale
Pattern Analysis and Applications, 2007Gait is an identifying biometric feature. Video-based gait recognition has now become a new challenging topic in computer vision. In this paper, fractal scale wavelet analysis is applied to describe and automatically recognize gait. Fractal scale, which is based on wavelet analysis, represents the self-similarity of signals, and improves the ...
Guoying Zhao 0001, Li Cui, Hua Li 0009
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Singular dynamic scaling on fractal lattices
Physical Review B, 1988Finite-size scaling calculations are performed for the critical dynamics of the ferromagnetic Ising model on fractal lattices. We confirm the predictions of Henley's heuristic theory of singular dynamic scaling and compare our results with those recently obtained by Kutasov et al. using Monte Carlo methods.
, Bell, , Southern
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Scaling approach to sintering of fractal matter
Physical Review Letters, 1993A simple model for the sintering of materials made of connected fractal aggregates, such as aerogels, is proposed. The densification at small scales is described by an increase of the lower cutoff length accompanied by a decrease of the upper cutoff length, in order to conserve the total mass of the system. General scaling laws are derived which relate
, Sempéré +4 more
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1986
Fat fractals are fractals with positive measure and integer fractal dimension. Their dimension is indistinguishable from that of nonfractals, and is inadequate to describe their fractal properties. An alternative approach can be couched in terms of the scaling of the coarse grained measure.
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Fat fractals are fractals with positive measure and integer fractal dimension. Their dimension is indistinguishable from that of nonfractals, and is inadequate to describe their fractal properties. An alternative approach can be couched in terms of the scaling of the coarse grained measure.
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2011
Many physical systems do exhibit self-similarity, although, of course, within some finite range of scales. The list includes Brownian motion, turbulent flows, porous media, polymers, clusters, etc. The geometry of these systems, often based on random processes, is complicated.
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Many physical systems do exhibit self-similarity, although, of course, within some finite range of scales. The list includes Brownian motion, turbulent flows, porous media, polymers, clusters, etc. The geometry of these systems, often based on random processes, is complicated.
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Fractals and Cosmological Large-Scale Structure
Science, 1992Observations of galaxy-galaxy and cluster-cluster correlations as well as other large-scale structure can be fit with a "limited" fractal with dimension D ≈ 1.2. This is not a "pure" fractal out to the horizon: the distribution shifts from power law to random behavior at some large scale.
X, Luo, D N, Schramm
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Fractal structure and fractal dimension determination at nanometer scale
Science in China Series A: Mathematics, 1999Three-dimensional fractures of different fractal dimensions have been constructed with successive random addition algorithm, the applicability of various dimension determination methods at nanometer scale has been studied. As to the metallic fractures, owing to the limited number of slit islands in a slit plane or limited datum number at nanometer ...
Yue Zhang +4 more
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Discrete Spatial Scales in a Fractal Universe
Astrophysics and Space Science, 1996The work of this paper is based on work which has been described in a preliminary form in Roscoe (1995), and it applies the formalism developed there to the problem of deriving the cosmology for a universe which is in a state of gravitational equilibrium.
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Fractal scaling of fractional diffusion processes
Signal Processing, 2003The fractal growth of fractional diffusion is analyzed from the viewpoint of the influence of fractional derivative order on scaling exponents. Fractional diffusion is considered here as deterministic with stochastic forcing, and with time and space fractional derivatives defined as the Caputo and Riesz-Feller forms, respectively.
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