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Sub-regional phase error compensation based on a probability distribution function and gamma precoding.

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    A novel phase error compensation method using a probability distribution function (PDF) enhances 3D reconstruction accuracy. This technique precisely unwraps phases, significantly reducing phase errors in fringe projection systems.

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    Area of Science:

    • Optical Metrology
    • 3D Imaging and Reconstruction
    • Signal Processing

    Background:

    • Accurate phase extraction is critical for high-fidelity 3D reconstruction.
    • Phase errors in fringe projection systems can degrade reconstruction accuracy.
    • Existing compensation methods may lead to over- or under-compensation.

    Purpose of the Study:

    • To propose a novel phase error compensation method for improved phase extraction accuracy.
    • To enhance the precision of 3D reconstruction in fringe projection systems.
    • To develop a method robust against over- and under-compensation issues.

    Main Methods:

    • Establishing a relationship between gamma and gray values for projection region segmentation.
    • Developing a probability distribution function (PDF)-based method to quantify phase error variation.
    • Applying the error compensation method independently to unwrap phases with high precision.

    Main Results:

    • Reduced the standard deviation of phase error by 46.9% compared to no compensation.
    • Decreased the standard deviation of phase error by 30% compared to global gamma precoding.
    • Effectively avoided over- and under-compensation issues inherent in global correction methods.

    Conclusions:

    • The proposed PDF-based phase error compensation method significantly improves phase extraction accuracy.
    • The method enhances overall 3D reconstruction accuracy in fringe projection systems.
    • This approach offers a precise and robust solution for phase error reduction.