Results 221 to 230 of about 5,790 (264)
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2008
Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Fractal Dimension of Color Fractal Images
IEEE Transactions on Image Processing, 2011Fractal dimension is a very useful metric for the analysis of the images with self-similar content, such as textures. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for 1-D signals or binary images, with extension to grayscale ...
Mihai, Ivanovici, Noël, Richard
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Advances in Colloid and Interface Science, 1987
In recent years it has been shown that the structures of a wide variety of colloidal aggregates can be described in terms of the concepts of fractal geometry. The purpose of this review is to discuss some of the evidence for fractal geometry in experimental systems and indicate how fractal geometry can be used to develop a better understanding of their
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In recent years it has been shown that the structures of a wide variety of colloidal aggregates can be described in terms of the concepts of fractal geometry. The purpose of this review is to discuss some of the evidence for fractal geometry in experimental systems and indicate how fractal geometry can be used to develop a better understanding of their
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Complex Analysis and Operator Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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IEEE Computer Graphics and Applications, 2005
Fractal artist Terry Wright says the images on his Web site should be viewed in a dark and dimly lit room due to the nature of their textures. "Much of my art uses dark tones and has backlit qualities that do not show up well unless viewed in darkness or ambient light," he explained.
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Fractal artist Terry Wright says the images on his Web site should be viewed in a dark and dimly lit room due to the nature of their textures. "Much of my art uses dark tones and has backlit qualities that do not show up well unless viewed in darkness or ambient light," he explained.
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Fractals and Fractal Distributions
2002Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D.
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Self-Affine Fractals and Fractal Dimension
Physica Scripta, 1985Evaluating a fractal curve's approximate length by walking a compass defines a compass exponent. Long ago, I showed that for a self-similar curve (e.g., a model of coastline), the compass exponent coincides with all the other forms of the fractal dimension, e.g., the similarity, box or mass dimensions. Now walk a compass along a self-affine curve, such
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The neuronal ongoing electrical activity in the brain network, the neurodynamics, reflects the structure and functionality of generating neuronal pools. The activity of neurons due to their excitatory and inhibitory projections is associated with specific brain functions.
Armonaite, Karolina +2 more
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Armonaite, Karolina +2 more
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Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques
EAGE Workshop on Non-Seismic Methods, 2008The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
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Fractals and Multi-fractals in Turbulence
1997Turbulent flows refer to situations in which the flow properties at any point vary in a statistically random manner. Fourier analysis shows that wave fluctuations in a range of frequencies and wave numbers are present, the width of the range changing with certain flow parameters like the Reynolds number. (Attempts at characterizing turbulence structure
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