# Effective persistent homology of digital images

arXiv: https://arxiv.org/abs/1412.6154 · HTML: https://mlsanity.com/paper/1412.6154/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Oct 2014.

## Built on by (most cited first, 1 of 1)

- [Image recognition via Vietoris-Rips complex](https://mlsanity.com/paper/2109.02231/) (2021)

## Abstract (arXiv)

In this paper, three Computational Topology methods (namely effective homology, persistent homology and discrete vector fields) are mixed together to produce algorithms for homological digital image processing. The algorithms have been implemented as extensions of the Kenzo system and have shown a good performance when applied on some actual images extracted from a public dataset.