Robust correlation-assisted phase unwrapping method for single-camera single-projector structured light system

Digital speckle correlation-assisted phase unwrapping is widely used in structured-light 3D measurement due to its high speed and accuracy, but reliable correlation-based phase recovery in single-camera single-projector (SCSP) systems is still limited by radiometric inconsistency and projector–camera sampling mismatch. In this work, we propose a phase-assisted correlation framework for robust absolute phase recovery. First, a phase-guided resampling strategy is introduced to align correlation signals and compensate for sampling mismatch in the phase domain. Second, a camera gray-level correction model is derived from phase-shifting fringes to suppress radiometric distortions caused by surface reflectance and illumination variations. Third, a projector-adaptive random fringe generation strategy considering optical transfer characteristics is proposed to improve correlation robustness. Experimental results show that the proposed method achieves reconstruction accuracy comparable to the Gray-code method while reducing the number of projected patterns from eleven to five. In addition, the GPU implementation enables millisecond-level processing for real-time 3D reconstruction. Experiments on objects with complex surface materials further demonstrate improved robustness and efficiency in SCSP systems.