Fractal texture analysis of bread crumb digital images |
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Authors: | Ursula Gonzales-Barron Francis Butler |
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Affiliation: | (1) Biosystems Engineering, School of Agriculture, Food Science and Veterinary Medicine, University College Dublin, Earlsfort Terrace, Dublin 2, Ireland |
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Abstract: | A fractal texture analysis technique was applied to bread crumb digital images. Fractal dimensions obtained from several methods
(fractional Brownian motion, frequency domain, relative differential box-counting, morphological fractal, mass fractal and
random walks methods) were investigated in order to determine their capability to accurately describe the surface roughness
of bread crumb images or the visual appearance of bread crumb in meaningful terms. A total of 500 bread crumb images of different
porosity and grain quality were analysed. It was found that bread crumb appearance could be effectively quantified by the
fractal dimension of its digital image. Correlations of fractal dimensions with mean cell area, standard deviation of cell
area and void fraction were variable for the fractal methods. While the mass fractal method measured better crumb heterogeneity,
other methods quantified coarseness, cell–cell wall ruggedness and cell wall tortuosity. A vector comprising fractal dimensions
would objectively depict crumb grain and would allow comparisons between different bread crumb images. |
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Keywords: | Bread crumb Grain Fractal analysis Texture Fractal dimension |
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