# Improvements of computational ghost imaging by using Special-Hadamard patterns

## TL;DR

This paper introduces Special-Hadamard patterns for computational ghost imaging, which improve image quality in noisy environments and allow flexible object sizing, outperforming traditional Hadamard patterns.

## Contribution

The paper proposes a novel Special-Hadamard pattern design that enhances ghost imaging performance and flexibility compared to existing patterns.

## Key findings

- Special-Hadamard patterns outperform Hadamard patterns in noisy conditions.
- Complete object reconstruction is possible with Special-Hadamard patterns in noiseless settings.
- Simulation results demonstrate significant image quality improvements.

## Abstract

We introduced a new kind of patterns named Special-Hadamard patterns, which could be used as structured illuminations of computational ghost imaging. Special-Hadamard patterns can get a better image quality than Hadamard patterns in a noisy environment. We can completely reconstruct the original object in a noiseless environment by using Special-Hadamard patterns, and the size of object also can be adjusted arbitrarily, these advantages cannot be achieved by other common patterns. We also performed simulations to compare the results of Special Hadamard patterns with the results of Hadamard patterns. We found Special Hadamard patterns can greatly improve the image quality of computational ghost imaging.