English

Shape analysis using fractal dimension: a curvature based approach

Data Analysis, Statistics and Probability 2015-06-03 v1 Computer Vision and Pattern Recognition

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.

Keywords

Cite

@article{arxiv.1201.3118,
  title  = {Shape analysis using fractal dimension: a curvature based approach},
  author = {André R. Backes and João B. Florindo and Odemir M. Bruno},
  journal= {arXiv preprint arXiv:1201.3118},
  year   = {2015}
}
R2 v1 2026-06-21T20:04:48.488Z