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    This study introduces a novel two-stage phase unwrapping algorithm using phase correlation for precise analysis. The method accurately handles noisy data and small deformation areas, improving phase unwrapping results.

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    Area of Science:

    • Signal Processing
    • Image Analysis
    • Computational Physics

    Background:

    • Phase unwrapping is critical for many scientific and engineering applications.
    • Traditional methods struggle with noisy data and complex phase maps.
    • Accurate phase unwrapping is essential for quantitative analysis.

    Purpose of the Study:

    • To develop a robust two-stage phase unwrapping algorithm.
    • To enhance accuracy in areas with significant noise and small deformations.
    • To improve the reliability of phase unwrapping techniques.

    Main Methods:

    • A two-stage algorithm incorporating phase correlation.
    • Utilization of phase reliability and correlation maps for mask delineation.
    • Sequential application of quality map and Itoh's algorithms for unwrapping.

    Main Results:

    • Enhanced clarity and accuracy in areal delineation using phase correlation.
    • Effective avoidance of path error accumulation.
    • Demonstrated high-precision phase unwrapping in simulations and experiments.

    Conclusions:

    • The proposed algorithm offers superior performance in challenging phase unwrapping scenarios.
    • It provides a reliable solution for analyzing noisy and complex phase data.
    • This technique advances the field of phase unwrapping for scientific applications.