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    This study introduces a speckle-assisted four-step phase-shifting method for 3D measurements. It enhances accuracy and speed in 3D reconstruction by improving speckle matching for complex surfaces.

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    Area of Science:

    • Optical Metrology
    • 3D Reconstruction
    • Computer Vision

    Background:

    • Phase-shifting methods are crucial for high-precision 3D measurements using fringe projection profilometry.
    • Converting wrapped phase maps to absolute phase maps is essential for 3D data recovery.
    • Speckle pattern-based phase unwrapping offers potential for rapid 3D measurements with minimal auxiliary patterns.

    Purpose of the Study:

    • To propose a novel speckle-assisted four-step phase-shifting method for enhanced 3D measurements.
    • To address the phase ambiguity challenge in 3D reconstruction using speckle patterns.
    • To improve the accuracy and efficiency of 3D profilometry, especially for complex surfaces.

    Main Methods:

    • A speckle-assisted four-step phase-shifting technique using five structured light patterns (four fringe, one speckle).
    • An adaptive horizontal scaling method to enhance speckle matching accuracy on steep surfaces.
    • A voting strategy based on phase-connected regions to reduce computational load.

    Main Results:

    • The proposed method effectively removes phase ambiguity in 3D measurements.
    • Adaptive horizontal scaling significantly improves speckle matching accuracy.
    • Experimental validation demonstrates superior performance with achieved accuracy of 0.21 mm.

    Conclusions:

    • The speckle-assisted four-step phase-shifting method provides a robust solution for accurate 3D measurements.
    • The proposed techniques overcome limitations of traditional speckle-based phase unwrapping, particularly on challenging surfaces.
    • This method holds promise for applications requiring fast and precise 3D reconstruction.