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Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
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Motion induced phase error reduction using a Hilbert transform.

Y Wang, Z Liu, C Jiang

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    Summary
    This summary is machine-generated.

    Object motion causes errors in 3D measurements using phase-shifting profilometry. This study introduces a novel compensation method using Hilbert transforms to significantly reduce these motion-induced measurement errors.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Object motion during 3D scanning introduces phase errors in phase-shifting profilometry.
    • These errors degrade the accuracy of 3D reconstructions.

    Purpose of the Study:

    • To develop a generic method for compensating motion-induced phase errors in phase-shifting profilometry.
    • To improve the accuracy of 3D measurements in the presence of object motion.

    Main Methods:

    • A novel approach utilizing the Hilbert transform to compensate for motion-induced phase errors.
    • Generating phase maps from original and Hilbert-transformed fringe patterns.
    • Averaging the two phase maps to obtain a motion-compensated 3D reconstruction.

    Main Results:

    • The proposed method effectively reduces dominant motion-introduced phase errors.
    • Simulations and experimental results confirm substantial error reduction.
    • Accurate 3D reconstruction is achieved even with object motion.

    Conclusions:

    • The Hilbert transform-based method provides a robust solution for motion error compensation in phase-shifting profilometry.
    • This technique enhances the reliability and accuracy of 3D measurement systems.
    • The generic approach is applicable to various phase-shifting profilometry setups.