Color Fourier single-pixel imaging with random color filter array

Abstract Color Fourier single-pixel imaging (FSI) enables efficient spectral and spatial imaging. Here, we propose a Fourier single-pixel imaging scheme with a random color filter array (FSI-RCFA). The proposed method employs a random color filter array (RCFA) to modulate Fourier patterns. A three-step phase-shifting technique reconstructs the Fourier spectrum, followed by an RCFA-based demosaicing algorithm to recover color images. Compared to traditional color FSI based on Bayer color filter array schemes (FSI-BCFA), our approach achieves superior separation between chrominance and luminance components in the frequency domain. Simulation results demonstrate that the FSI-RCFA method achieves a lower mean squared error (MSE), a higher peak signal-to-noise ratio (PSNR), and superior noise resistance compared to FSI-BCFA, while enabling direct single-channel pixel measurements for targeted applications such as agricultural defect detection.