Single-shot structured light illumination based on multiscale total generalized variation

Single-shot structured light illumination plays a crucial role in high-speed 3D reconstruction but remains a significant challenge, especially in the presence of complex surface textures. Fourier transform profilometry has been widely adopted for single-shot reconstruction, yet its performance is often degraded due to spectral leakage and frequency aliasing when applied to textured or irregular surfaces. To address these limitations, we propose a single-shot 3D reconstruction framework based on multiscale total generalized variation. The proposed approach integrates variational optimization with multi-frequency fringe modulation to enhance reconstruction accuracy. Specifically, a dual-frequency heterodyne fringe pattern is generated using a multifrequency modulation strategy. An improved adaptive orientation total generalized variation model with shared parameter constraints is then employed to accurately extract both high- and low-frequency fringe components. The final 3D shape is reconstructed through phase calculation using the dual-frequency heterodyne technique, which effectively suppresses spectral overlap. Experimental results conducted on highly textured surfaces demonstrate that our method achieves superior robustness and reconstruction quality compared to conventional approaches.