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Improved spatial-shifting two-wavelength algorithm for 3D shape measurement with a look-up table.

Yuwei Wang, Caixia Wang, Jiaxu Cai

    Applied Optics
    |June 18, 2021
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    Summary
    This summary is machine-generated.

    A new look-up-table-based spatial-shifting two-wavelength (SSTW) algorithm enables robust 3D shape measurement with arbitrary wavelength selection. This method overcomes limitations of conventional techniques for enhanced phase unwrapping and broader applicability.

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    Area of Science:

    • Optical Metrology
    • 3D Shape Measurement
    • Interferometry

    Background:

    • Conventional two-wavelength algorithms are widely used for 3D shape measurement but are limited by the need for coprime wavelengths to maximize the unambiguous range in phase unwrapping.
    • The spatial-shifting two-wavelength (SSTW) algorithm offers improved range with non-coprime wavelengths but can fail for certain selections.

    Purpose of the Study:

    • To develop a generalized spatial-shifting two-wavelength (SSTW) algorithm capable of arbitrary wavelength selection for robust three-dimensional (3D) shape measurement.
    • To analyze and enhance the robustness of the SSTW algorithm against phase errors, thereby relaxing constraints on wavelength selection.

    Main Methods:

    • Introduction of a general look-up-table-based SSTW (LUT-SSTW) algorithm for arbitrary wavelength selection in 3D shape measurement.
    • Analysis of phase unwrapping robustness concerning phase errors and provision of guidance for optimal wavelength selection.
    • Development of an improved LUT-SSTW algorithm to further enhance robustness and flexibility in wavelength choices.

    Main Results:

    • The proposed LUT-SSTW algorithm demonstrates effective 3D shape measurement with arbitrary wavelength selection.
    • The improved algorithm significantly enhances phase unwrapping robustness and relaxes wavelength selection constraints.
    • Experimental results validate the efficiency and reliability of the developed LUT-SSTW methods.

    Conclusions:

    • The LUT-SSTW algorithm provides a more flexible and robust solution for 3D shape measurement compared to conventional methods.
    • The developed techniques overcome the limitations of previous SSTW algorithms, enabling wider applicability in optical metrology.