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Least-squares method constrained by phase smoothness for correcting illumination fluctuation errors in phase-shifting

Huijie Zhu, Hongwei Guo

    Applied Optics
    |December 1, 2023
    PubMed
    Summary

    Illumination fluctuations in fringe projection profilometry cause artifacts. This study introduces a phase-smoothed least-squares method to accurately remove these errors, enhancing measurement precision.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Phase-shifting fringe projection profilometry is a key 3D measurement technique.
    • Illumination fluctuations introduce significant ripple-like artifacts in phase maps, degrading accuracy.
    • Existing phase-shifting algorithms struggle to correct these errors due to complex fluctuation patterns.

    Purpose of the Study:

    • To develop a robust method for eliminating illumination fluctuation errors in fringe projection profilometry.
    • To improve the accuracy and reliability of 3D surface measurements.

    Main Methods:

    • A novel least-squares method constrained by phase smoothness was proposed.
    • The generalized phase-shifting algorithm was employed for fringe phase calculation.
    • Coefficients of illumination fluctuation were estimated using a smoothed phase map.
    • Iterative implementation of phase calculation and coefficient estimation was performed.

    Main Results:

    • The proposed algorithm effectively eliminates ripple-like artifacts caused by illumination fluctuations.
    • Experimental validation confirmed a significant improvement in measurement accuracy.
    • The method demonstrates robustness against varying illumination conditions.

    Conclusions:

    • The phase-smoothed least-squares method offers a powerful solution for correcting illumination errors in fringe projection profilometry.
    • This advancement enhances the practical applicability of 3D profilometry in various scientific and industrial fields.