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Dual-angle rotation two-dimensional wavelet transform profilometry.

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    A new 2D wavelet transform model enhances single-shot fringe projection profilometry (FPP). This dual-angle rotation method improves accuracy in 3D shape reconstruction by refining phase calculation for wavelet transform profilometry (WTP).

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Single-shot fringe projection profilometry (FPP) relies on 2D continuous wavelet transform (CWT) for its multi-resolution and noise-reduction capabilities.
    • Existing 2D CWT methods in FPP face limitations in directional selectivity and frequency localization, impacting reconstruction accuracy.

    Purpose of the Study:

    • To develop and validate a novel 2D wavelet transform model for enhanced accuracy in single-shot FPP.
    • To improve the directional selectivity and frequency localization of the wavelet transform for more precise phase calculation.

    Main Methods:

    • A novel 2D wavelet transform model is proposed, incorporating a dual-angle rotation operation on the 2D wavelet.
    • Mathematical expressions and theoretical analysis are presented to describe the proposed method.
    • The new method is compared against traditional 2D wavelet transform profilometry (WTP) through experimental validation.

    Main Results:

    • The dual-angle rotation operation significantly enhances the directional selectivity and frequency localization of the wavelet.
    • The proposed method demonstrates improved accuracy in phase calculation compared to traditional 2D WTP.
    • Experimental results confirm the effectiveness of the novel 2D wavelet transform model for higher accuracy 3D shape reconstruction from single-shot fringe patterns.

    Conclusions:

    • The developed 2D wavelet transform model offers superior performance for single-shot FPP.
    • The dual-angle rotation technique is effective in improving wavelet characteristics for precise phase calculation.
    • This advancement enables higher accuracy 3D reconstruction in FPP applications.