Fractal analysis in the study of the flowers shape in the species Leontopodium alpinum Cass.
Keywords:
flower shape, fractal analysis, fractal geometry, herborized flowers, LeontopodiumAbstract
Fractal analysis was used to study the shape of flowers in the species Leontopodium alpinum Cass. Twenty-five herborized flowers were analyzed. The flowers were scanned (front side - FS, and back side - BS) to obtain the images and analyze the shape through fractal analysis. The binarized images were analyzed and the parameter values were obtained: total pixels (TP), foreground pixels (FP), fractal dimension (D). The ratio FP-FS/TP, and FP-BS/TP was calculated, and resulted FP-FS/TP = 0.0056, respectively FP-BS/TP = 0.0059 (mean values). The fractal dimension depending on the flower scan (front and back flower image) varied between D-FS = 1.178 – 1.489±0.023, respectively D-BS = 1.190 – 1.501±0.022. The difference between the mean values of D-FS and D-BS (0.015) falls within the limits of standard errors (SE). The coefficient of variation (CV) in the case of D-FS was CVD-FS = 8.797, and in the case of D-BS it was CVD-BS = 8.265. The comparative analysis between the data series regarding the fractal dimension (D-FS, D-BS) led to differences without statistical significance (p>0.05), which indicated the similarity of the two data series.
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