Results 231 to 240 of about 15,404 (265)
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LOCAL BOX-COUNTING TO DETERMINE FRACTAL DIMENSION OF HIGH-ORDER CHAOS
International Journal of Modern Physics C, 2000To determine the attractor dimension of chaotic dynamics, the box-counting method has the difficulty in getting accurate estimates because the boxes are not weighted by their relative probabilities. We present a new method to minimize this difficulty.
Osaka, Motohisa, Ito, Nobuyasu
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Coarse iris classification using box-counting to estimate fractal dimensions
Pattern Recognition, 2005This paper proposes a novel algorithm for the automatic coarse classification of iris images using a box-counting method to estimate the fractal dimensions of the iris. First, the iris image is segmented into sixteen blocks, eight belonging to an upper group and eight to a lower group. We then calculate the fractal dimension value of these image blocks
Li Yu +3 more
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THE BOX-COUNTING DIMENSION OF PASCAL’S TRIANGLE r mod p
Fractals, 2018We consider Pascal’s Triangle [Formula: see text] to be the entries of Pascal’s Triangle that are congruent to [Formula: see text]. Such a representation of Pascal’s Triangle exhibits fractal-like structures. When the Triangle is mapped to a subset of the unit square, we show that such a set is nonempty and exists as a limit of a sequence of coarse ...
DAVID M. BRADLEY +3 more
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A new box-counting method for image fractal dimension estimation
2017 3rd IEEE International Conference on Computer and Communications (ICCC), 2017A fractal dimension is an effective feature for texture analysis, segmentation and classification in many fields. The most frequently used method to estimate the fractal dimension of an image is the differential box-counting method. This method is simple but not accurate enough. Many researches have been done to improve its counting accuracy.
Song Xue, Xinsheng Jiang, Jimiao Duan
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Improved Triangle Box-Counting Method for Fractal Dimension Estimation
2015A fractal dimension (FD) is an effective feature, which characterizes roughness and self-similarity of complex objects. However, the FD in nature scene requires the effective method for estimation. The existing methods focus on the improvement of selecting the suitable height of box-counts.
Yothin Kaewaramsri +1 more
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Box-Counting Fractal Dimension Algorithm Variations on Retina Images
2015This research work investigates the influences of FD algorithm variation on the measurement of retinal vasculature complexity. Forty retinal vasculature images from publicly available dataset were subjected to four variations of box-counting FD algorithm.
Mohd Zulfaezal Che Azemin +4 more
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An efficient procedure to compute fractal dimensions by box counting
Physics Letters A, 1986Abstract We consider the problem of computing fractal dimensions by the box-counting method. First, we remark that the computations can be performed efficiently with the technique of virtual memory so that large memories can be dealt with. Secondly, we use a scaling law which allows to avoid large numbers of iterations.
A. Giorgilli +3 more
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Box-counting dimension of graphs of generalized Takagi series
Japan Journal of Industrial and Applied Mathematics, 1996In 1984, \textit{M. Hata} and \textit{M. Yamaguti} [Japan J. Appl. Math. 1, 183-199 (1984; Zbl 0604.26004)] examined the Takagi function (the function \(T(x) =\sum 2^{-n} \psi(2^n x)\), where \(\psi (x) =1 -|2x -2[x] -1|\), which is a well-known example of a nowhere differentiable continuous function), as well as its generalization \(\sum a_n \psi(2^{n-
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FastO(N) box-counting algorithm for estimating dimensions
Physical Review E, 1993A successive-partitioning algorithm that performs box counting from a time series with computation time and storage both of order N is presented. This enables fast evaluation of generalized dimensions on small computers.
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