On Fractal Dimension: A Review

Publication Date : 29/02/2016

Author(s) :

Nibedita Mohanty , Sarojananda Mishra.

Volume/Issue :
Volume 2
Issue 2
(02 - 2016)

Abstract :

The fractal dimension (D) is a central construct developed in fractal geometry to describe the geometric complexity of natural phenomena as well as other complex forms. This paper provides a survey of several commonly used methods for estimating the fractal dimension. These methods include Walking divider Method,Box counting method, Prism counting method, Differential box counting method, Epsilon-Blanket method,Perimeter area relationship, Fractional Brownian Motion ,Power spectrum method and Hybrid methods. A method for calculating the dimension by using L-System is given. This paper discusses regarding various methods and a comparative study of different methods is presented including its merits and demerits.

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