Results 1 to 10 of about 15,884 (161)
A spatial randomness test based on the box-counting dimension. [PDF]
Adv Stat Anal, 2022 Statistical modelling of a spatial point pattern often begins by testing the hypothesis of spatial randomness. Classical tests are based on quadrat counts and distance-based methods. Alternatively, we propose a new statistical test of spatial randomness based on the fractal dimension, calculated through the box-counting method providing an inferential ...
Caballero Y, Giraldo R, Mateu J.
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Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades. [PDF]
Commun Math Phys, 2023 AbstractWe investigate the box-counting dimension of the image of a set $$E \subset \mathbb {R}$$ E ⊂ R under a random multiplicative cascade function f.
Falconer KJ, Troscheit S.
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Results in Engineering, 2020 Fractal dimension is an appropriate indicator to describe the complexity of a certain geometry, and box-counting analysis is proved to be an effective and appropriate method for fractal dimension estimation which is widely used.
Jiaxin Wu, Xin Jin, Shuo Mi, Jinbo Tang
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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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Combining Fractals and Box-Counting Dimension
Applied Mathematics, 2021 In this paper, the box-counting dimension is used to derive an explicit formula for the dimension of a fractal constructed using several contractions or by combining fractals. This dimension agrees with the Hausdorff dimension in the particular case when the scales factors considered are all the same.
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The microscopic characteristics of particle matter and image algorithm based on fractal theory [PDF]
E3S Web of Conferences, 2022 The effects of ash and sulfur content on the morphology of particulate matter (PM) in diesel particle filter (DPF) were investigated with five different components of lubricants. The aggregate morphology of primary particles in diesel were analyzed using
Tan Piqiang +4 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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Box dimension of the border of Kingdom of Saudi Arabia
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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An Improve Differential Box Counting Method to Estimate Fractal Dimension [PDF]
Engineering and Technology Journal, 2015 The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images.
N.M.G. Alsaidi, W.J. Abdulaal
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Mathematics, 2023 This research aimed to estimate the length of the Citarum watershed boundary because the data are still unknown. We used the concept of fractal’s power law and its relation to the length of an object, which is still not described in other research.
Michael Lim +2 more
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