Shape analysis using fractal dimension: A curvature based approach

André Ricardo Backes, João B. Florindo, Odemir Martinez Bruno · Chaos An Interdisciplinary Journal of Nonlinear Science · 2012

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from a shape by applying a multi-scale approach to the calculus of the fractal dimension. The fractal dimension is estimated by applying the curvature scale-space technique to the original shape. By applying a multi-scale transform to the calculus, we obtain a set of descriptors which is capable of describing the shape under investigation with high precision. We validate the computed descriptors in a classification process. The results demonstrate that the novel technique provides highly reliable descriptors, confirming the efficiency of the proposed method.

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