Robust two-step Fourier single-pixel imaging

Existing two-step Fourier single-pixel imaging (FSPI) suffers from low noise-robustness, and three-step FSPI and four-step FSPI improve the noise-robustness but at the cost of more measurements.In this Letter, we propose a method to improve the noise-robustness of two-step FSPI without additional illumination patterns or measurements.In the proposed method, the measurements from base patterns are replaced by the average values of the measurement from two sets of phaseshift patterns.Thus, the imaging degradation caused by the noise in the measurements from base patterns can be avoided, and more reliable Fourier spectral coefficients are obtained.The imaging quality of the proposed robust two-step FSPI is similar to those of three-step FSPI and four-step FSPI.Simulations and experimental results validate the effectiveness of the proposed method.