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On Fractal Dimension Estimation Methods


Affiliations
1 Erode Arts College (Autonomous), Erode–638009, Tamil Nadu, India
2 Sri Ramakrishna College of Arts & Science for Women Coimbatore-641044, Tamil Nadu, India
     

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Fractals are complex geometric figures made up of small scale and large scale structures that resemble one another. Fractal dimension is an effective measure for complex objects. It is widely applied in the fields of image segmentation and shape recognition. There are number of methods to estimate the fractal dimension. This paper contributes the comparative study of fractal dimension methods in terms of effectiveness and accuracy. In this work, we have taken five main types of fractal dimension estimation methods and compared.


Keywords

Fractal, Fractal Dimension, Box-Counting, Mass Method, Dividers Method.
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  • On Fractal Dimension Estimation Methods

Abstract Views: 194  |  PDF Views: 4

Authors

S. Sukumaran
Erode Arts College (Autonomous), Erode–638009, Tamil Nadu, India
M. Punithavalli
Sri Ramakrishna College of Arts & Science for Women Coimbatore-641044, Tamil Nadu, India

Abstract


Fractals are complex geometric figures made up of small scale and large scale structures that resemble one another. Fractal dimension is an effective measure for complex objects. It is widely applied in the fields of image segmentation and shape recognition. There are number of methods to estimate the fractal dimension. This paper contributes the comparative study of fractal dimension methods in terms of effectiveness and accuracy. In this work, we have taken five main types of fractal dimension estimation methods and compared.


Keywords


Fractal, Fractal Dimension, Box-Counting, Mass Method, Dividers Method.