Results 21 to 30 of about 964,966 (303)
Pseudofractals and the box counting algorithm [PDF]
Journal of Physics A: Mathematical and General, 2001 We show that for sets with the Hausdorff--Besicovitch dimension equal zero the box counting algorithm commonly used to calculate Renyi exponents ($d_q$) can exhibit perfect scaling suggesting non zero $d_q$'s. Properties of these pathological sets ({\it pseudofractals}) are investigated.
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Energies, 2021 Successive flashover would result in carbonized tracking on insulator surface and cause deterioration to the insulation. Thus, investigation of the tracking can be beneficial in understanding flashover characteristics during long-term operation.
Xiaolong Li, Chen Cao, Xin Lin
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Caltech Fish Counting Dataset 2022 [PDF]
, 2022 A full instructional guide is provided here: https://github.com/visipedia/caltech-fish-counting The Caltech Fish Counting Dataset is a large-scale dataset for detecting, tracking, and counting fish in sonar ...
Young, Erik +7 more
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Accuracy Analysis of the Box-Counting Algorithm
Acta Physica Polonica A, 2012 Accuracy of the box-counting algorithm for numerical computation of the fractal exponents is investigated. To this end several sample mathematical fractal sets are analyzed. It is shown that the standard deviation obtained for the fit of the fractal scaling in the log-log plot strongly underestimates the actual error.
Gorski, A. Z. +3 more
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The box-merging implementation of the box-counting algorithm
Journal of the Mechanical Behavior of Materials, 2016 Fractal analysis is a powerful tool for the classification of materials. However, until now, there were no efficient tools that could process large or color images due to the processing time required.
Nikolaidis Nikolaos S. +1 more
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On the equality of Hausdorff and box counting dimensions [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993 By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension are expected to be equal.
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Schematic diagram of box counting method. [PDF]
, 2013 Schematic diagram of box counting method.
Chunxiang Qian (289582) +4 more
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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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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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Applied Sciences, 2021 In this work, the complex geometry of beams obtained from topology optimization is characterized through the fractal dimension (FD). The fractal dimension is employed as an efficiency measure of the mass distribution in the beams, that is, the capacity ...
Pablo Pavón-Domínguez +3 more
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