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2009•CiiT international journal of digital image processingRequires access

On Fractal Dimension Estimation Methods

S. Sukumaran, M. Punithavalli

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Fractal dimension, Fractal dimension on networks, Fractal, Fractal analysis, Mathematics, Dimension (graph theory), Fractal landscape, Scale (ratio)

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