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Related Experiment Video

Updated: Jan 1, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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Phase estimation of a 2D fringe pattern using a monogenic-based multiscale analysis.

Mohamed Kaseb, Guillaume Mercère, Hermine Biermé

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |December 25, 2019
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a multiscale monogenic wavelet transform to accurately extract phase information from 2D interference fringe patterns. This method overcomes limitations of traditional monogenic analysis, improving phase estimation for complex fringe patterns.

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    Area of Science:

    • Image analysis
    • Optical metrology
    • Signal processing

    Background:

    • The monogenic signal, a 2D generalization of the analytic signal, is valuable for extracting phase information in interferometry.
    • Traditional monogenic analysis faces challenges with low-frequency fringes and noisy, non-narrowband signals.

    Purpose of the Study:

    • To theoretically and numerically illustrate the link between physical phase information and monogenic phase estimation in 2D interference fringe patterns.
    • To address the limitations of the monogenic transform, specifically its singularity at null frequency and issues with noisy signals.

    Main Methods:

    • Application of a multiscale monogenic analysis to 2D interference fringe patterns.
    • Utilizing the monogenic wavelet transform to bypass singularity and noise issues.
    • Developing a strategy to combine information from different scales for enhanced phase estimation.

    Main Results:

    • Demonstrated a clear connection between physical phase and monogenic phase estimation, starting with ideal cosine waves and progressing to complex patterns.
    • Successfully bypassed monogenic transform weaknesses (singularity, noise sensitivity) through multiscale analysis.
    • Numerical tests on synthetic and real fringe patterns confirmed finer extraction of geometrical structures.

    Conclusions:

    • Multiscale monogenic analysis, particularly using the monogenic wavelet transform, offers a robust method for phase extraction in interferometry.
    • Combining information across multiple scales significantly improves the accuracy of phase estimation from fringe patterns.
    • This approach enhances the geometrical structure extraction from complex 2D interference fringe patterns.