(a) Fish contour; (b) curvature scale space represented in a gray-scale image: the greater the curvature, the brighter the pixel in the image.
Smoothing of a shape contour as the parameter changes.
Process of shape dilation of the Bouligand-Minkowski method (light gray, points correspondent to the current radius r; dark gray, accumulated area): (a) Original shape (r = 0); (b) ; (c) ; (d) .
(a) Koch snowflake (d = 1.2618); (b) curvature fractal dimension (d =1.2644).
(a) Log-log curve. (b) multi-scale fractal dimension.
Examples of fish images used in the experiments.
(a) Bouligand-Minkowski log-log curve. (b) Bouligand-Minkowski multi-scale fractal dimension.
Success rate according to the number of descriptors used.
Curvature and the sum of its coefficients, , for two contour at different scales.
Comparison results for different complexity estimation methods.
Comparison results for other non-fractal shape analysis methods.
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