Results 1 to 10 of about 270,553 (303)
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.
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 We investigate the box-counting dimension of the image of a set $$E \subset \mathbb {R}$$ E ⊂ R under a random multiplicative cascade function f . The corresponding result for Hausdorff dimension was established by Benjamini and Schramm in the context of
Falconer KJ, Troscheit S.
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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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Embedding Properties of sets with finite box-counting dimension [PDF]
Nonlinearity, 2019 In this paper we study the regularity of embeddings of finite--dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin [Nonlinearity 12 1263-1275] introduced the thickness exponent and proved an embedding theorem for ...
Margaris, Alexandros, Robinson, James C.
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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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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
M. Ndiaye
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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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Box-Counting Dimension Revisited: Presenting an Efficient Method of Minimizing Quantization Error and an Assessment of the Self-Similarity of Structural Root Systems. [PDF]
Front Plant Sci, 2016 Fractal dimension (FD), estimated by box-counting, is a metric used to characterize plant anatomical complexity or space-filling characteristic for a variety of purposes.
Bouda M, Caplan JS, Saiers JE.
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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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Advances in Mechanical Engineering, 2016 Aiming at the nonlinear and nonstationary characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis approach based on improved ...
Yunpeng Cao +4 more
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