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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Metrology

    Background:

    • Absolute 3D shape measurement is crucial in various fields.
    • Existing methods often require complex patterns or multiple setups.
    • Phase-based methods are common but susceptible to errors like harmonic distortion.

    Purpose of the Study:

    • To develop a novel method for absolute 3D shape measurement using only square binary patterns.
    • To address and mitigate harmonic errors in phase retrieval for improved accuracy.
    • To enable robust 3D reconstruction with a simplified pattern set.

    Main Methods:

    • Utilized six phase-shifted square binary patterns (three low-frequency, three high-frequency).
    • Employed temporal phase unwrapping, where low-frequency phase data corrects high-frequency phase data.
    • Developed a computational framework with four key strategies to correct harmonic errors: multi-period low-frequency patterns, Gaussian filtering, error lookup tables, and boundary error correction.

    Main Results:

    • Successfully achieved absolute 3D shape measurement using only square binary patterns.
    • The proposed computational framework effectively alleviated harmonic errors.
    • Both simulation and experimental results validated the method's performance and accuracy.

    Conclusions:

    • The novel method provides an effective approach for absolute 3D shape measurement.
    • The developed computational framework successfully overcomes significant challenges in phase-based measurements.
    • This technique offers a promising solution for accurate and robust 3D reconstruction.