Complementary Fourier single-pixel imaging

TL;DR

This paper introduces Complementary Fourier Single-Pixel Imaging (CFSI), a novel method that reduces measurement requirements while maintaining robustness and image quality, enabling real-time high-quality imaging.

Contribution

The paper proposes CFSI, which combines complementary Fourier patterns with a four-step phase-shift algorithm to improve efficiency and noise robustness in single-pixel imaging.

Findings

CFSI requires only two phase-shifted patterns per spectral value.

CFSI outperforms traditional FSI in robustness and efficiency in simulations and experiments.

CFSI enables real-time, high-quality imaging with fewer measurements.

Abstract

Single-pixel imaging, with the advantages of a wide spectrum, beyond-visual-field imaging, and robustness to light scattering, has attracted increasing attention in recent years. Fourier single-pixel imaging (FSI) can reconstruct sharp images under sub-Nyquist sampling. However, the conventional FSI has difficulty with balancing the imaging quality and efficiency. To overcome this issue, we proposed a novel approach called complementary Fourier single-pixel imaging (CFSI) to reduce measurements while retaining its robustness. The complementary nature of Fourier patterns based on a four-step phase-shift algorithm is combined with the complementary nature of a digital micromirror device. CFSI only requires two phase-shifted patterns to obtain one Fourier spectral value. Four light intensity values are obtained by load the two patterns, and the spectral value is calculated through differential measurement, which has good robustness to noise. The proposed method is verified by simulations and experiments compared with FSI based on two-, three-, and four-step phase shift algorithms. CFSI performed better than the other methods under the condition that the best imaging quality of CFSI is not reached. The reported technique provides an alternative approach to realize real-time and high-quality imaging.