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Mask information-based gamma correction in fringe projection profilometry.

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    This study introduces a gamma correction method for fringe projection profilometry (FPP) to improve 3D reconstruction accuracy. The technique effectively corrects phase errors caused by gamma effects using mask information and minimal projected patterns.

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    Area of Science:

    • Optics and Photonics
    • 3D Metrology
    • Computer Vision

    Background:

    • Fringe projection profilometry (FPP) is susceptible to gamma effects from cameras and projectors.
    • These gamma effects introduce non-sinusoidal distortions, creating higher-order harmonics in fringe patterns.
    • This distortion leads to periodic phase errors, reducing the accuracy of 3D reconstruction.

    Purpose of the Study:

    • To develop and validate a novel gamma correction method for FPP systems.
    • To mitigate phase errors caused by camera and projector gamma effects.
    • To enhance the overall accuracy of 3D reconstruction in FPP.

    Main Methods:

    • A gamma correction approach utilizing mask information is proposed.
    • Two sequences of phase-shifting fringe patterns with different frequencies are projected.
    • A mask image is projected to capture information for determining higher-order fringe harmonic coefficients.
    • Least-squares and Gaussian Newton iteration methods are employed for phase error compensation.

    Main Results:

    • The method effectively determines coefficients of higher-order fringe harmonics.
    • Phase errors induced by the gamma effect are accurately compensated.
    • Minimal image projection is required (2x3 phase shift patterns and 1 mask pattern).
    • Both simulation and experimental results confirm the method's effectiveness.

    Conclusions:

    • The proposed mask-based gamma correction method significantly improves FPP accuracy.
    • It offers an efficient solution by requiring fewer projected images compared to traditional methods.
    • This technique provides a robust way to address gamma-induced distortions in 3D profilometry.