Scan efficiency of structured illumination in iterative single pixel imaging

Single-pixel imaging (SPI) is an innovative technique that images an object from non-pixelated detection. To do so, SPI has to conduct structured illumination that functions as a way to scan the object. The illumination basis and corresponding scanned intensities are then used for correlation measurement to reconstruct an image. In this process, the illumination structure, or scanning basis plays an important role on the scanning efficiency and therefore reconstruction quality. In this work we discuss the efficiency of different scanning basis in iterative SPI. A comparison between raster scan (RS) and multi-pixel structured scan (MS) in SPI is carried out under the criterions of signal to noise ratio and structural similarity index. Theoretical analysis is followed with demonstration from both experiment and simulation. Our conclusion is believed to be useful guidelines for choosing the right illumination basis depending on the iterative SPI application situation.