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Nonlinear calibration for generalized fringe projection profilometry under large measuring depth range.

Feipeng Zhu, Hongjian Shi, Pengxiang Bai

    Applied Optics
    |November 13, 2013
    PubMed
    Summary

    This study presents a new calibration method for fringe projection profilometry, achieving high accuracy for large depth ranges. The improved technique enhances surface measurement precision for 3D scanning applications.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Fringe projection profilometry (FPP) is a key 3D measurement technique.
    • Accurate surface height determination is crucial, especially over large depth ranges.
    • Existing methods face challenges with non-linearities and calibration over extended depths.

    Purpose of the Study:

    • To develop a mathematical model for absolute surface height distribution in generalized FPP.
    • To propose a novel nonlinear calibration method for improved phase-to-height mapping.
    • To enhance the accuracy of 3D surface profiling within a large measuring depth range.

    Main Methods:

    • Developed a mathematical description for absolute surface height.
    • Implemented a nonlinear calibration using least-squares polynomial fitting.
    • Employed an iterative method to solve for surface height from phase change data.

    Main Results:

    • Achieved an accuracy of 0.3 mm for surface profiling.
    • Demonstrated validity of the proposed calibration method through experiments.
    • Successfully measured surface profiles within a 300 mm depth range.

    Conclusions:

    • The proposed nonlinear calibration and iterative method significantly improve FPP accuracy.
    • This approach is effective for 3D surface measurements over large depth ranges.
    • The findings contribute to more precise and reliable optical metrology.