Artificial fractal dimension obtained by using perimeter-area relationship on digitalized images

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Perimeter-area relation is a widely used method to obtain the perimeter fractal dimension of self-similar shapes embedded into a 2-dimensional space. In this short paper we would like to demonstrate that the orientation anisotropy of the shapes (which cannot be excluded in a "natural" sample) can cause an error in the calculation of the perimeters and areas of the digitalized images. In this way one might obtain artificial "fractal dimension". Therefore the applicability of the perimeter-area method seems to be very limited.

Original language English 443-449 7 Applied Mathematics and Computation 173 1 https://doi.org/10.1016/j.amc.2005.04.042 Published - Feb 1 2006

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Fractal dimension
Perimeter
Fractal Dimension
Anisotropy
Relationships
Demonstrate

Keywords

• Digital images
• Fractal dimension
• Orientation anisotropy
• Perimeter-area relation

ASJC Scopus subject areas

• Applied Mathematics
• Computational Mathematics
• Numerical Analysis

Cite this

In: Applied Mathematics and Computation, Vol. 173, No. 1, 01.02.2006, p. 443-449.

Research output: Contribution to journalArticle

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