Results 251 to 260 of about 1,009,431 (281)

Computing the Box Counting Dimension

2020
From roughly the late 1980s to the mid-1990s, a very large number of papers studied computational issues in determining fractal dimensions of geometric objects, or provided variants of algorithms for calculating the fractal dimensions, or applied these techniques to real-world problems.
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Point-extended box dimension

Chaos, Solitons & Fractals, 2023
Nadir Maaroufi, El Hassan Zerouali
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Topological and Box Counting Dimensions

2020
A mind once stretched by a new idea never regains its original dimension. Oliver Wendell Holmes, Jr. (1841–1935), American, U.S. Supreme Court justice from 1902 to 1932.
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Box fractal dimension in speckle images

Optical Methods for Inspection, Characterization, and Imaging of Biomaterials III, 2017
In this paper, we propose a generalization of the box fractal dimension in images by considering the curve obtained from its value as a function of the binarization threshold. This curve can be used to describe speckle patterns. We show some examples of both objective simulated and experimental and subjective speckle in some cases of interest.
Marcelo Trivi, Leandro Buffarini, Nelly Cap, Eduardo Grumel, Héctor J. Rabal   +4 more
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Box and packing dimensions of projections and dimension profiles

Mathematical Proceedings of the Cambridge Philosophical Society, 2001
For E a subset of ℝn and s ∈ [0, n] we define upper and lower box dimension profiles, B-dimsE and B-dimsE respectively, that are closely related to the box dimensions of the orthogonal projections of E onto subspaces of ℝn. In particular, the projection of E onto almost all m-dimensional subspaces has upper box dimension B-dimmE and lower box ...
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Estimating box-dimension by sign counting

28th International Conference on Information Technology Interfaces, 2006., 2006
In this article we examine the possibility of improving the recursive algorithm for computation of box-dimension of complex sets. The known method of box-counting is simplified down to the simple sign counting operation. Our target set is a "cloud" of amorphous points since many fractal sets are given in this form.
S. Veleva, L. Kocic
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BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID

Fractals, 2009
We prove that the box dimension of the standard clothoid is equal to d = 4/3. Furthermore, this curve is Minkowski measurable, and we compute its d-dimensional Minkowski content. Oscillatory dimensions of component functions of the clothoid are also equal to 4/3.
Županović, Vesna, Žubrinić, Darko, Korkut, Luka   +2 more
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BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE

Fractals, 2019
In this paper, we present a delightful method to estimate the lower and upper box dimensions of a special nonlinear fractal interpolation curve. We use Rakotch contractibility and monotone property of function in the estimation of upper box dimension, and we use Rakotch contractibility, noncollinearity of interpolation points, nondecreasing property ...
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Improved box-counting methods to directly estimate the fractal dimension of a rough surface

Measurement: Journal of the International Measurement Confederation, 2021
Mingyang Wu, Wensong Wang, Yafei Luo
exaly  

A new method on Box dimension of Weyl-Marchaud fractional derivative of Weierstrass function

Chaos, Solitons and Fractals, 2021
Kui Yao, Yipeng Wu
exaly