Results 1 to 10 of about 1,003,949 (307)
The box dimension of random box-like self-affine sets [PDF]
, 2017 In this paper we study two random analogues of the box-like self-affine attractors introduced by Fraser, itself an extension of Sierpi\'nski carpets. We determine the almost sure box-counting dimension for the homogeneous random case ($1$-variable random)
Troscheit, Sascha
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Box dimension of the border of Kingdom of Saudi Arabia [PDF]
Heliyon, 2023 Fractal dimension unlike topological dimension is (usually) a non-integer number which measures complexity, roughness, or irregularity of an object with respect to the space in which the set lies.
Mohammad Sajid +5 more
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Improving the signal subtle feature extraction performance based on dual improved fractal box dimension eigenvectors [PDF]
Royal Society Open Science, 2018 Because of the limitations of the traditional fractal box-counting dimension algorithm in subtle feature extraction of radiation source signals, a dual improved generalized fractal box-counting dimension eigenvector algorithm is proposed.
Xiang Chen +3 more
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A Box-Counting Method with Adaptable Box Height for Measuring the Fractal Feature of Images [PDF]
Radioengineering, 2013 Most of the existing box-counting methods for measuring fractal features are only applicable to square images or images with each dimension equal to the power of 2 and require that the box at the top of the box stack of each image block is of the same ...
Min Long, Fei Peng
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IEEE Access, 2022 The box-counting dimension, which can effectively reflect the complexity and self-similarity of models, is an important method for calculating the fractal dimension of models.
Chong Wang, Weiqiang An
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On the Lower and Upper Box Dimensions of the Sum of Two Fractal Functions
Fractal and Fractional, 2022 Let f and g be two continuous functions. In the present paper, we put forward a method to calculate the lower and upper Box dimensions of the graph of f+g by classifying all the subsequences tending to zero into different sets.
Binyan Yu, Yongshun Liang
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Fractal and Fractional, 2022 At present many researchers devote themselves to studying the relationship between continuous fractal functions and their fractional integral. But little attention is paid to the relationship between Mellin transform and fractional integral.
Zhibiao Zhou, Wei Xiao, Yongshun Liang
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Drones, 2023 In this paper, we address the challenge of low recognition rates in existing methods for radar signals from unmanned aerial vehicles (UAV) with low signal-to-noise ratios (SNRs).
Xuemin Liu +5 more
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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mathematics, 2022 In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones.
Mohsen Soltanifar
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Hausdorff Dimension and Topological Entropies of a Solenoid
Entropy, 2020 The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
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