Robustness analysis of parallel single-pixel imaging

Single-pixel imaging (SI) methods have been widely studied in recent years. However, most existing researches have illustrated SI as an attractive prospect when multipixel sensors are not preferable due to cost or technological constraints. Parallel single-pixel imaging (PSI) has been introduced recently such that SI techniques is also attractive when multipixel sensors are easily obtained and provides new possibilities to traditional challenging problems. By treating each pixel on the camera as an independent SI unit, PSI captures light transport coefficients (LTCs) in highly efficient manner, and separates direct illumination and global illumination, thereby enabling 3D reconstruction under global illumination. Localization stage is of great importance for PSI, where the approximate information for visible region is obtained. In this paper, we analyze the robustness property of PSI with respective to localization stage. Robustness property of PSI states that the accuracy of 3D reconstruction data by PSI is insensitive to errors incurred in the localization stage. Firstly, we show this property from a theoretically aspect. Then, we conduct two experiments to test this property. Lastly, we also show that satisfactory 3D reconstruction results can be obtained when only partial frequencies are captured in the localization stage for a higher efficient data capture procedure.