# On scale-invariant properties in natural images and their simulations

arXiv: https://arxiv.org/abs/2201.13312 · HTML: https://mlsanity.com/paper/2201.13312/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 0 of its 8 references that are in the map.
- First posted on arXiv 27 Jan 2022.

## Built on by (most cited first, 2 of 2)

- [Image quality prediction using synthetic and natural codebooks: comparative results](https://mlsanity.com/paper/2212.10319/) (2022)
- [Towards properties of adversarial image perturbations](https://mlsanity.com/paper/2503.14111/) (2025)

## Abstract (arXiv)

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.