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Universal N-step phase-differencing profilometry with robustness optimal design based on dual-frequency phase

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    A new N-step phase-differencing profilometry (PDP) method reduces 3D imaging time and improves robustness compared to phase shifting profilometry (PSP). PDP directly extracts phase differences for faster, more reliable 3D measurements.

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    Area of Science:

    • Optical Metrology
    • 3D Imaging
    • Computational Imaging

    Background:

    • Phase shifting profilometry (PSP) is a common technique for 3D surface reconstruction.
    • PSP methods can be time-consuming due to the number of phase-shifted patterns required.
    • Robustness in phase unwrapping remains a challenge in PSP.

    Purpose of the Study:

    • To introduce a universal N-step phase-differencing profilometry (PDP) technique.
    • To enhance the speed and robustness of 3D profilometry.
    • To overcome limitations of traditional PSP methods.

    Main Methods:

    • Development of a novel mathematical model for phase difference extraction.
    • Capturing N phase-shifting deformed patterns (N ≥ 3).
    • Utilizing dual-frequency temporal phase unwrapping (DF-TPU) for enhanced robustness.

    Main Results:

    • PDP directly extracts phase differences, reducing processing time compared to PSP.
    • Phase difference unwrapping in PDP is more robust than phase unwrapping in PSP.
    • Optimized PDP demonstrates superior performance in speed and robustness over PSP with comparable accuracy.

    Conclusions:

    • The proposed PDP technique offers significant advantages in time consumption and robustness for 3D imaging.
    • PDP shows promising prospects for advanced 3D measurement applications.
    • The method ensures high accuracy while improving efficiency and reliability.