Shape analysis using fractal dimension: a curvature based approach

TL;DR

This paper introduces a new shape analysis method using a multiscale fractal dimension approach based on curvature, providing highly reliable descriptors validated through classification tasks.

Contribution

A novel fractal dimension technique employing curvature scale-space for multiscale shape analysis, enhancing descriptor accuracy and reliability.

Findings

Descriptors achieved high classification accuracy

Method provides precise shape characterization

Validated through extensive experiments

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.