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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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From Newton Fractals to Gradient Fractals in Addition to Zhang Fractals
2014 IEEE 17th International Conference on Computational Science and Engineering, 2014The paper employs gradient dynamics (GD), in addition to Zhang dynamics (ZD), to generate new fractals which are quite different from the conventional Newton fractals (NF). The proposed gradient fractals (GF) have three types. Specifically, via appropriate iterative formulas derived in complex domain, the first-type and second-type fractals are ...
Yunong Zhang +4 more
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, 2019
Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. Edgar
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Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. Edgar
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APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION
Fractals, 2022On the basis of previous studies, we explore the approximation of continuous functions with fractal structure. We first give the calculation of fractal dimension of the linear combination of continuous functions with different Hausdorff dimension. Fractal dimension estimation of the linear combination of continuous functions with the same Hausdorff ...
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Application of Fractals in Earth Sciences
This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.
V. Dimri
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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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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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IEEE Computer Graphics and Applications, 2005
Cover artist David Works thinks that fractals appeal to an innate sense of aesthetic sensibility and he revels in Apophysis, a freeware fractal flame editor for Windows.
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Cover artist David Works thinks that fractals appeal to an innate sense of aesthetic sensibility and he revels in Apophysis, a freeware fractal flame editor for Windows.
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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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Fractals and Reactions on Fractals
1989Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
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