English

On scale-invariant properties in natural images and their simulations

Computer Vision and Pattern Recognition 2022-04-28 v2

Abstract

We study samples of natural images for which a set of statistical characteristics is computed and scale-invariant properties of samples are demonstrated computationally. Computations of the power spectrum are carried out and a power-law decaying power spectrum is observed on samples taken from van Hateren images of natural scenes. We propose a dynamic model to reproduce the observed slope in the power spectrum qualitatively. For two types of sources for this model the behaviour of power spectrum is investigated and scale-invariance confirmed numerically. We then discuss potential applications of scale-invariant properties of natural images.

Keywords

Cite

@article{arxiv.2201.13312,
  title  = {On scale-invariant properties in natural images and their simulations},
  author = {Maxim Koroteev and Kirill Aistov},
  journal= {arXiv preprint arXiv:2201.13312},
  year   = {2022}
}

Comments

7 pages, 13 figures