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Two-dimensional complex wavelet with directional selectivity used in fringe projection profilometry.

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    |July 30, 2021
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    Summary
    This summary is machine-generated.

    This study introduces a novel 2D complex wavelet for single-frame fringe projection profilometry (FPP). This advanced method enhances 3D surface recovery accuracy by improving fringe analysis.

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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Metrology

    Background:

    • Fringe projection profilometry (FPP) is a key technique for 3D surface reconstruction.
    • Traditional methods often struggle with single-frame analysis, limiting accuracy and efficiency.
    • Continuous Wavelet Transform (CWT) has shown promise but requires further refinement for complex fringe patterns.

    Purpose of the Study:

    • To develop an improved 2D complex wavelet for enhanced single-frame FPP.
    • To address limitations in matching local fringe patterns with daughter wavelets.
    • To achieve higher phase accuracy in 3D surface recovery from single fringe images.

    Main Methods:

    • Construction of a 2D continuous complex wavelet using a 2D real Mexican hat wavelet function.
    • Integration with a single-orthant analytical 2D Hilbert transform.
    • Development of a complex wavelet construction model with theoretical analysis and experimental validation.

    Main Results:

    • The proposed 2D complex wavelet exhibits an asymmetric frequency envelope and direction selectivity.
    • This design facilitates superior matching between local fringe patterns and daughter wavelets.
    • Experimental validation confirmed high phase accuracy in single-frame FPP.

    Conclusions:

    • The novel 2D complex wavelet significantly improves phase accuracy in single-frame FPP.
    • The method offers a robust solution for accurate 3D surface reconstruction from minimal data.
    • This advancement has implications for various fields requiring precise 3D metrology.