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    This study introduces a new quality measure for 2D phase unwrapping, enhancing algorithm robustness and accuracy. The novel approach improves speed and reliability in fringe projection profilometry applications.

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    Area of Science:

    • Image processing
    • Optical metrology

    Background:

    • Quality-based 2D phase unwrapping algorithms offer a balance of speed and accuracy.
    • Algorithm performance relies on a quality map to prioritize reliable pixels.
    • Noisy areas are unwrapped last to localize errors.

    Purpose of the Study:

    • To propose a novel, robust, and efficient quality measure for 2D phase unwrapping.
    • To combine advantages of quality-guided and residue-based unwrapping methods.
    • To provide a theoretically justified quality map for improved phase unwrapping.

    Main Methods:

    • Developed a new quality measure for 2D phase unwrapping.
    • Integrated quality-guided and residue-based approaches.
    • Theoretically justified the new quality map from two perspectives.

    Main Results:

    • The proposed quality measure is consistent, effective, and fast to compute.
    • The measure is immune to carrier signal presence.
    • Demonstrated usefulness in fringe projection profilometry.

    Conclusions:

    • The novel quality measure enhances the robustness of 2D phase unwrapping.
    • This method offers improved performance for fringe projection profilometry.
    • The new measure provides a reliable approach for processing wrapped phase signals.