# Properties of BV-G structures + textures decomposition models. Application to road detection in satellite images

arXiv: https://arxiv.org/abs/2411.04456 · HTML: https://mlsanity.com/paper/2411.04456/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 21 references that are in the map.
- First posted on arXiv 7 Nov 2024.

## Abstract (arXiv)

In this paper we present some theoretical results about a structures-textures image decomposition model which was proposed by the second author. We prove a theorem which gives the behavior of this model in different cases. Finally, as a consequence of the theorem we derive an algorithm for the detection of long and thin objects applied to a road networks detection application in aerial or satellite images.