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    This study introduces a novel method for estimating strain and curvature from digital holographic interferometry fringe patterns. The technique accurately calculates phase derivatives, even in noisy conditions, using advanced algorithms.

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    Area of Science:

    • Optical Metrology
    • Digital Holography
    • Interferometry

    Background:

    • Accurate strain and curvature estimation is crucial in optical metrology.
    • Digital holographic interferometry (DHI) is a powerful tool for deformation analysis.
    • Existing methods for phase derivative estimation in DHI can be sensitive to noise.

    Purpose of the Study:

    • To develop a robust method for estimating first- and second-order phase derivatives from a single fringe pattern in DHI.
    • To improve the accuracy of strain and curvature measurements in DHI.
    • To provide a computationally efficient solution for phase derivative estimation.

    Main Methods:

    • A discrete energy separation algorithm is employed for initial phase derivative estimation.
    • A least-squares spline approximation with optimal knot selection is utilized for refinement.
    • The method processes a single fringe pattern to extract phase derivative information.

    Main Results:

    • The proposed method provides accurate estimations of phase derivatives, even in the presence of noise.
    • Validation through simulation and experimental results confirms the method's efficacy.
    • The technique demonstrates improved accuracy and computational efficiency compared to existing approaches.

    Conclusions:

    • The developed method offers a reliable approach for strain and curvature estimation in DHI.
    • This technique enhances the precision and efficiency of deformation analysis using holographic interferometry.
    • The findings have implications for various fields requiring precise optical metrology measurements.