Paper Title:
A Modified Box-Counting Method to Estimate the Fractal Dimensions
  Abstract

A fractal is a property of self-similarity, each small part of the fractal object is similar to the whole body. The traditional box-counting method (TBCM) to estimate fractal dimension can not reflect the self-similar property of the fractal and leads to two major problems, the border effect and noninteger values of box size. The modified box-counting method (MBCM), proposed in this study, not only eliminate the shortcomings of the TBCM, but also reflects the physical meaning about the self-similar of the fractal. The applications of MBCM shows a good estimation compared with the theoretical ones, which the biggest difference is smaller than 5%.

  Info
Periodical
Edited by
Qi Luo
Pages
1756-1761
DOI
10.4028/www.scientific.net/AMM.58-60.1756
Citation
J. Xu, G. Lacidogna, "A Modified Box-Counting Method to Estimate the Fractal Dimensions", Applied Mechanics and Materials, Vols. 58-60, pp. 1756-1761, 2011
Online since
June 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yu Mei Xiong, Yi Min Chen, Yi Hao Chen
Abstract:In order to improve the efficiency of the collision detection for polyhedron, the paper proposed a collision detection algorithm based on...
645
Authors: Di Xiong Yang, Chang Geng Zhang
Abstract:From the perspective of fractal geometry, the irregularity and complexity of near-fault ground motions and seismic responses of single degree...
3984
Authors: Li Xia Lin, Yuan Hai Zhang, Ya Ping Wu, Nan Hong Ding
Abstract:Based on the equivalent stiffness and equivalent stiffness ratio method, an approximate method suitable for hand calculation is proposed to...
967
Authors: Hong Quan Sun, Jun Ding
Mechanical Behavior & Fracture
Abstract:In the paper, fractal geometry is used to study the crack evolving process of reinforce concrete beams. The fractal dimensions on surface of...
1126
Authors: Fa Guang Jiang, Zheng Liang, Guang Hui Zhao, Pan Wang, Liang Zhang
Chapter 11: Structural Strength and Robustness
Abstract:It is very important to process acid and fracturing treatment in oil field to improve permeability. The fracturing pump is one of the key...
2076