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

DOI10.1016/j.amc.2005.04.042zbMath1093.94005OpenAlexW2013499533MaRDI QIDQ2489184

Attila R. Imre

Publication date: 16 May 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.04.042

zbMATH Keywords

Fractal dimensionDigital imagesorientation anisotropyperimeter-area relation

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fractals (28A80)

Related Items (5)

A set of formulae on fractal dimension relations and its application to urban form ⋮ Normalizing and classifying shape indexes of cities by ideas from fractals ⋮ Fractal dimension of time-indexed paths ⋮ Describing urban evolution with the fractal parameters based on area-perimeter allometry ⋮ Linearity measure for curve segments

Cites Work

• Alternative area-perimeter ratios for measurement of 2D shape compactness of habitats
• Is the Geometry of Nature Fractal?
• Unnamed Item

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