Synergistic Suppression of Global Illumination and Fringe Saturation via Adaptive Micro Phase Shifting

High-fidelity 3D profilometry of non-Lambertian surfaces is severely degraded by the co-occurrence of specular saturation (clipping harmonics) and global illumination (GI). Although Micro Phase Shifting (MPS) isolates low-frequency GI via narrowband projection, non-sinusoidal saturation clipping invalidates its fundamental inter-frequency amplitude consistency constraint, causing phase unwrapping collapse. To resolve this coupled dilemma without exceeding the theoretical minimum image count (F+2 frames), this paper proposes a physics-guided adaptive spectral decoupling framework. We demonstrate that the inherent narrowband spatial carrier of MPS establishes an analytical passband, enabling selective harmonic elimination while strictly preserving GI resilience. An adaptive Butterworth low-pass filter integrated with boundary-symmetric mirror extension is formulated, where the optimal cutoff radius is dynamically locked via a spatial correlation convergence criterion. This restores fundamental sinusoidal fidelity, reinstates MPS matrix amplitude consistency, and eliminates Gibbs boundary ringing. Simulations and physical experiments on specular metallic specimens show that our method achieves up to an 87.5% reduction in Root Mean Square Error (RMSE) and a 60.9% reduction in Mean Absolute Error (MAE) over standard MPS, while outperforming multi-exposure fusion benchmarks using 74.1% fewer images. Crucially, high metrological precision is achieved without compromising sharp geometric step edges.

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Publication Details

Journal
Photonics
Published
2026-11-11
DOI
https://doi.org/10.3390/photonics13111066
Primary Topic
Optical measurement and interference techniques
Type
article
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article

Synergistic Suppression of Global Illumination and Fringe Saturation via Adaptive Micro Phase Shifting

Yueyang Ma, Qian Zhu, Tang Bo, Haitao Liu et al.
Photonics
Optical measurement and interference techniques
article

Synergistic Suppression of Global Illumination and Fringe Saturation via Adaptive Micro Phase Shifting

Yueyang Ma, Qian Zhu, Tang Bo, Haitao Liu, Hubing Du
article en

Abstract

High-fidelity 3D profilometry of non-Lambertian surfaces is severely degraded by the co-occurrence of specular saturation (clipping harmonics) and global illumination (GI). Although Micro Phase Shifting (MPS) isolates low-frequency GI via narrowband projection, non-sinusoidal saturation clipping invalidates its fundamental inter-frequency amplitude consistency constraint, causing phase unwrapping collapse. To resolve this coupled dilemma without exceeding the theoretical minimum image count (F+2 frames), this paper proposes a physics-guided adaptive spectral decoupling framework. We demonstrate that the inherent narrowband spatial carrier of MPS establishes an analytical passband, enabling selective harmonic elimination while strictly preserving GI resilience. An adaptive Butterworth low-pass filter integrated with boundary-symmetric mirror extension is formulated, where the optimal cutoff radius is dynamically locked via a spatial correlation convergence criterion. This restores fundamental sinusoidal fidelity, reinstates MPS matrix amplitude consistency, and eliminates Gibbs boundary ringing. Simulations and physical experiments on specular metallic specimens show that our method achieves up to an 87.5% reduction in Root Mean Square Error (RMSE) and a 60.9% reduction in Mean Absolute Error (MAE) over standard MPS, while outperforming multi-exposure fusion benchmarks using 74.1% fewer images. Crucially, high metrological precision is achieved without compromising sharp geometric step edges.

PhotonicsVol. 13(11)
Xi'an Technological University (CN)
Optical measurement and interference techniques
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