Adaptive depth measurement based on adversarial relevance vector regression for fringe projection profilometry

Fringe projection profilometry (FPP) is a structured light technique widely used for the depth measurement of object surfaces. For FPP systems, it is essential to establish the mapping from phases to depths, known as phasedepth models. Imaging system noise and camera defocus can disrupt the fringe order and wrapped phase relationship, potentially causing errors in phase unwrapping that may limit the effectiveness of traditional phasedepth models. To address this issue, we propose an adaptive depth measurement framework for FPP systems with using adversarial relevance vector regression (ARVR). The core principle of the ARVR framework is the predictive distribution of depths. Specifically, we first use the sparse kernel-based RVR algorithm to establish two types of local RVR-based phase-depth models and obtain the predictive distribution of depths. Then, we design an adversarial strategy of the posterior variance to calculate more reasonable depth measurements through adaptive adjustments. Experiment results demonstrated that the ARVR framework outperforms traditional phasedepth models.