# Topological Classification of points in Z2 by using Topological Numbers for 2D discrete binary images

arXiv: https://arxiv.org/abs/2501.04878 · HTML: https://mlsanity.com/paper/2501.04878/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- First posted on arXiv 8 Jan 2025.

## Abstract (arXiv)

In this paper, we propose a topological classification of points for 2D discrete binary images. This classification is based on the values of the calculus of topological numbers. Six classes of points are proposed: isolated point, interior point, simple point, curve point, point of intersection of 3 curves, point of intersection of 4 curves. The number of configurations of each class is also given.