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arXiv · 1201.3118

Shape analysis using fractal dimension: a curvature based approach

André R. Backes·João B. Florindo·Odemir M. Bruno
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Abstract

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from the shape by applying a multiscale approach to the calculus of the fractal dimension of that shape. The fractal dimension is obtained by the application of the curvature scale-space technique to the original shape. Through the application of a multiscale transform to the dimension calculus, it is obtained a set of numbers (descriptors) capable of describing with a high precision the shape in analysis. The obtained descriptors are validated in a classification process. The results demonstrate that the novel technique provides descriptors highly reliable, confirming the precision of the proposed method.

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André R. Backes, João B. Florindo, Odemir M. Bruno. 2012-01-15. Shape analysis using fractal dimension: a curvature based approach. https://doi.org/10.1063/1.4757226

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