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Robust and efficient multi-frequency temporal phase unwrapping: optimal fringe frequency and pattern sequence

Minliang Zhang, Qian Chen, Tianyang Tao

    Optics Express
    |October 19, 2017
    PubMed
    Summary
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    This study optimizes temporal phase unwrapping (TPU) parameters for fringe projection profilometry (FPP). The new scheme enhances accuracy and efficiency in 3D measurements, even with noisy data.

    Area of Science:

    • 3D Imaging and Metrology
    • Optical Measurement Techniques
    • Computational Imaging

    Background:

    • Temporal phase unwrapping (TPU) is crucial for fringe projection profilometry (FPP), especially for complex surfaces.
    • Optimizing experimental parameters like fringe frequency, phase-shifting steps, and pattern sequence is vital for accurate FPP measurements.
    • Existing research lacks a simultaneous, quantitative optimization of these key TPU parameters.

    Purpose of the Study:

    • To propose a novel scheme for simultaneously determining optimal fringe frequency, phase-shifting steps, and pattern sequence for multi-frequency TPU.
    • To enhance the accuracy, efficiency, and robustness of FPP systems in practical measurement scenarios.
    • To minimize the number of fringe frames required for high-accuracy 3D shape measurement.

    Main Methods:

    Related Experiment Videos

    • Establishment of noise models for phase-shifting algorithms and 3D coordinates under projector defocusing to determine optimal highest fringe frequency.
    • Definition of the frequency-to-frame ratio (FFR) to evaluate frame contribution and propose an optimal phase-shifting combination scheme.
    • Development of a judgment criterion to assess the suitability of adjacent fringe frequency ratios for stable and efficient phase unwrapping.

    Main Results:

    • A theoretical framework for optimizing multi-frequency TPU parameters in FPP systems.
    • Demonstration of high-precision, unambiguous 3D shape measurement using only 7 fringe patterns with a highest fringe frequency of 180.
    • Achieved depth precision of approximately 38μm over a 400 × 300 × 400 mm field of view.

    Conclusions:

    • The proposed method offers a simple and effective approach to improve FPP system performance.
    • Simulations and experiments validate the derived models and proposed optimization schemes.
    • The research enables robust and efficient 3D measurements in real-world conditions.