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Fractal Dimension of Color Fractal Images [PDF]
IEEE Transactions on Image Processing, 2011 Fractal 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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Physical Review Letters, 1986
At a critical point the golden-mean Kolmogorov-Arnol'd-Moser trajectory of Chirikov's standard map breaks up into a fractal orbit called a cantorus. The transition describes a pinning of the incommensurate phase of the Frenkel-Kontorowa model. We find that the fractal dimension of the cantorus is D-italic = 0 and that the transition from the Kolmogorov-
Per Bak, Wentian Li
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At a critical point the golden-mean Kolmogorov-Arnol'd-Moser trajectory of Chirikov's standard map breaks up into a fractal orbit called a cantorus. The transition describes a pinning of the incommensurate phase of the Frenkel-Kontorowa model. We find that the fractal dimension of the cantorus is D-italic = 0 and that the transition from the Kolmogorov-
Per Bak, Wentian Li
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Fractal Dimensions in Dynamics
2006This is an invited article for the Encyclopedia of Mathematical Physics, published by Elsevier in Oxford in 2006. We describe some basic methods of fractal analysis in dynamics. A special emphasis is on the computation of Hausdorff and box dimensions.
Vesna Županović, Darko Žubrinić
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Fractal Dimension of Superfluid Turbulence
Physical Review Letters, 2001Physical Review ...
Kivotides D, Barenghi CF, Samuels DC
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A Unified Approach to Fractal Dimensions
International Journal of Cognitive Informatics and Natural Intelligence, 2005Many scientific chapters treat the diversity of fractal dimensions as mere variations on either the same theme or a single definition. There is a need for a unified approach to fractal dimensions for there are fundamental differences between their definitions.
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Fractal dimension of semiconducting fractal sensors [PDF]
2004 14th International Crimean Conference "Microwave and Telecommunication Technology" (IEEE Cat. No.04EX843), 2004 Metal oxides are used for analysis of gas in the air in nano-dispersion semiconducting sensors developed in recent years. The fractal dimension of such a semiconductor sufficiently influences the character of the electrical conductivity and hence the sensitivity and operating speed of the sensor.
A.A. Tolstaya +3 more
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1988
How long is the coast of Norway? Take a look at figure 2.1. On the scale of the map the deep fjords on the western coast show up clearly. The details encountered moving northeast along the coast from the southern tip are more difficult to resolve, but I can assure you that the maps I use when sailing in that area show structures quite similar to those ...
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How long is the coast of Norway? Take a look at figure 2.1. On the scale of the map the deep fjords on the western coast show up clearly. The details encountered moving northeast along the coast from the southern tip are more difficult to resolve, but I can assure you that the maps I use when sailing in that area show structures quite similar to those ...
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1996
Each stage of the generation process for a fractal curve adds more length to the curve. A fractal curve generated through an infinite number of steps will have infinite length. It was demonstrated in Chapter 2 that the length of different fractal curves grows from one generation stage to the next at different rates.
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Each stage of the generation process for a fractal curve adds more length to the curve. A fractal curve generated through an infinite number of steps will have infinite length. It was demonstrated in Chapter 2 that the length of different fractal curves grows from one generation stage to the next at different rates.
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Fractals, fractal dimensions and landscapes — a review
Geomorphology, 1993Abstract Mandelbrot's fractal geometry is a revolution in topological space theory and, for the first time, provides the possibility of simulating and describing landscapes precisely by using a mathematical model. Fractal analysis appears to capture some “new” information that traditional parameters do not contain.
Tingbao Xu, Ian D. Moore, John Gallant
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