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Peer-Reviewed Publication
Updates every hour. Last Updated: 9-Jun-2026 10:15 ET (9-Jun-2026 14:15 GMT/UTC)
The growing prevalence of intelligent manufacturing and autonomous vehicles has intensified the demand for three-dimensional (3D) reconstruction under complex illumination conditions (including complex reflection and transmission). Traditional structured light techniques rely on inherent point-to-point triangulation, and is unable to decouple complex illuminations, resulting in errors in depth reconstruction. Parallel single-pixel imaging (PSI) has demonstrated unprecedented superiority under extreme conditions. However, a complete theoretical model has not yet been reported to adequately explain its underlying mechanisms and quantitatively characterize its performance. This hinders the effective application of the technology and its ability to accurately address practical needs. In this study, a comprehensive theoretical model for the PSI method is proposed, including imaging and noise models. The proposed imaging model describes light transport coefficients under complex illumination, elucidating the intrinsic mechanisms of successful 3D imaging using PSI. The developed noise model quantitatively analyzes the impact of environmental noise on measurement accuracy, offering a framework to guide the error analysis of a PSI system. Numerical simulations and experimental results validate the proposed models, revealing the generality and robustness of PSI. Finally, potential research directions are highlighted to guide and inspire future investigations. The established theoretical models lay a solid foundation for PSI and bring new insights and opportunities for future application in more demanding 3D reconstruction tasks.