Influence of two-arm symmetry on reconstructed image of compressive sensing for ghost imaging

According to Compressive Sensing (CS) algorithms and the Ghost imaging (GI) model, the CS was applied to the GI system to complete the CS reconstruction of an image. The feasibility of CS applied in GI was firstly validated by a simulation experiment. By using Peak Signal to Noise Ratio(PSNR) as the measure, the restructured images based on CS and traditional GI correlation algorithms were quantified respectively. The simulation experiment results indicate that both the restructured images are getting better with the increase of the number of measurements, however, the PSNR of CS reconstruction image is above 20 dB higher than that of the traditional correlation reconstruction method at the same number of measurements. Furthermore, the CS was applied in an actual two-arm GI experiment. The experiment results indicate that the CS can achieve the image reconstruction of two-arm correlation imaging equipment, but its reconstruction quality is hard to be better than that of the GI correlation algorithm. For this special confliction phenomenon, the paper gives some reasonable interpretations from the two-arm symmetry perspective and then fully validates the interpretations by using the actual speckle pattern from the experiment. Finally, it proposes a solution scheme.