English

Modified Hausdorff Fractal Dimension (MHFD)

Computer Vision and Pattern Recognition 2015-05-15 v2

Abstract

The Hausdorff fractal dimension has been a fast-to-calculate method to estimate complexity of fractal shapes. In this work, a modified version of this fractal dimension is presented in order to make it more robust when applied in estimating complexity of non-fractal images. The modified Hausdorff fractal dimension stands on two features that weaken the requirement of presence of a shape and also reduce the impact of the noise possibly presented in the input image. The new algorithm has been evaluated on a set of images of different character with promising performance.

Keywords

Cite

@article{arxiv.1505.03493,
  title  = {Modified Hausdorff Fractal Dimension (MHFD)},
  author = {Reza Farrahi Moghaddam and Mohamed Cheriet},
  journal= {arXiv preprint arXiv:1505.03493},
  year   = {2015}
}

Comments

15 pages, 4 figures, 2 algorithms. Working Paper WP-RFM-15-02, (version: 150507)

R2 v1 2026-06-22T09:33:43.645Z