# Super-resolving star clusters with sheaves

arXiv: https://arxiv.org/abs/2106.08123 · HTML: https://mlsanity.com/paper/2106.08123/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Jun 2021.

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

- [Optimal Transport for Super Resolution Applied to Astronomy Imaging](https://mlsanity.com/paper/2202.05354/) (2022)

## Abstract (arXiv)

This article explains an optimization-based approach for counting and localizing stars within a small cluster, based on photon counts in a focal plane array. The array need not be arranged in any particular way, and relatively small numbers of photons are required in order to ensure convergence. The stars can be located close to one another, as the location and brightness errors were found to be low when the separation was larger than 0.2 Rayleigh radii. To ensure generality of our approach, it was constructed as a special case of a general theory built upon topological signal processing using the mathematics of sheaves.