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The modified box-counting method: Analysis of some characteristic parameters
Pattern Recognition, 1998Abstract One of the most popular ways of estimating fractal dimension (Df) is the box-counting method (BCM). The major problem with this method is that it leads to results with a very high percentage of error. The modified box-counting method (MBCM) was developed as a methodic procedure to set sequence and range. The procedure eliminates two problems
Stéphane Buczkowski +3 more
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A Box-Counting Method for Characteristic Diagnosis of Nonlinear Dynamical Systems
International Journal of Bifurcation and Chaos, 2023An innovative box-counting method is developed in this research for diagnozing the nonlinear characteristics of dynamical systems. With the method developed, an approach that depicts the evolutionary process on Poincaré maps is established such that the nonlinear dynamical characteristics of the transient and stable process of the system can be ...
Zhengyuan Zhang, Liming Dai
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A MODIFIED BOX-COUNTING METHOD
Fractals, 1994Fractal geometry has been widely used to characterize irregular structures. Our interest in applying this concept in biomedical research leads us to the conclusion that there are no standard methods. In order to objectively set parameters involved in the estimation of fractal dimension, a significantly more accurate and efficient box-counting method ...
Kyriacos, S. +3 more
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Modified Richardson's method versus the box-counting method in neuroscience
Journal of Neuroscience Methods, 2015The morphology of dendrites, including apical dendrites of pyramidal neurons, is already well-known. However, the quantification of their complexity still remains open. Fractal analysis has proven to be a valuable method of analyzing the degree of complexity of dendrite morphology.Richardson's method is a technique of measuring the fractal dimension of
Ivan Zaletel +3 more
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Richardson's Method of Segment Counting versus Box-Counting
2013 19th International Conference on Control Systems and Computer Science, 2013Fractal analysis has become a popular method in all branches of scientific investigation including biology and medicine. This paper presents solution for many unresolved questions about the methodology of fractal theory, precisely in connection between fractal geometry and fractal analysis.
Neboja T. Miloevic +3 more
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Coarse iris classification based on box-counting method
IEEE International Conference on Image Processing 2005, 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
null Li Yu, null Kuanquan Wang, D. Zhang
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A Modified Box-Counting Method to Estimate the Fractal Dimensions
Applied Mechanics and Materials, 2011A 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.
Xu J., Lacidogna G.
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Fractal analysis of dendrite morphology using modified box-counting method
Neuroscience Research, 2014The box-counting dimension of a non-stellate neuron changes continuously with its rotation. During preprocessing for box-counting, non-stellate neurons should be arranged so that the major diameters of their dendrite fields are parallel. A non-stellate neuronal picture should have the smallest fractal dimension when the angle between the horizontal ...
Dušan, Ristanović +2 more
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An improved differential box-counting method of image segmentation
SPIE Proceedings, 2016Fractal dimension is an important quantitative characteristic of a image, which can be widely used in image analysis. Differential box-counting method which is one of many calculation methods of a fractal dimension has been frequently used due to its simple calculation .
Cancan Li +5 more
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Hausdorff dimension method reduces the error of box counting
Theoretical and Natural Science, 2023The Hausdorff dimension of an object is a topological measure of the size of its covering properties. To compute the Hausdorff dimension of an object, this report reviews the method of box counting, a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc.
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