Results 241 to 250 of about 128,940 (295)

INFORMATION VOLUME FRACTAL DIMENSION

Fractals, 2021
There has been immense interest in uncertainty measurement because most real-world problems are accompanied by uncertain events. Therefore, Deng entropy has been proposed to measure the uncertainty in the probability theory and evidence theory. In this paper, we show that the uncertainty of the basic probability assignment (BPA) separated through the ...
QIUYA GAO, TAO WEN, YONG DENG
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Fractal Dimension of Color Fractal Images

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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Self-Affine Fractals and Fractal Dimension

Physica Scripta, 1985
Evaluating 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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Fractal Dimension of Cantori

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-
, Li, , Bak
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APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION

Fractals, 2022
On 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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Fractal Dimensions

2022
Abstract We generalize integral to fractal dimensions: in mathematics, structures are studied which lead to dimensions between the integral values observed in conventional geometry. A standard example is the coastline of Britain, whose length increases with the use of ever finer scales.
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Fractal dimensions and homeomorphic conjugacies

Journal of Statistical Physics, 1988
no ...
Arneodo, A., Holschneider, M.
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Fractal Dimensions in Dynamics

2006
This 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.
Županović, Vesna, Žubrinić, Darko
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CALCULATING FRACTAL DIMENSIONS

International Journal of Modern Physics C, 1992
An algorithm for calculating fractal dimensions by the box counting method is described. Parallel implementation of the algorithm is presented.
S. GOSHEN, R. THIEBERGER
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Fractal Dimension Segmentation

1997
Abstract This paper discusses the use of fractal geometry for segmenting digital images. A method texture segmentation is introduced which uses the Fractal Dimension to measure image texture. Using this approach, variations in texture across an image can be characterised in terms of variations in the fractal dimension.
J M Blackledge, B Foxon, S Mikhailov
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