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Updated: Oct 2, 2025

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High-precision displacement measurement algorithm based on a depth fusion of grating projection pattern.

Hai Yu, Qiuhua Wan, Xinran Lu

    Applied Optics
    |February 24, 2022
    PubMed
    Summary

    This study introduces a high-precision displacement measurement algorithm using depth fusion of grating projection patterns. The novel method significantly enhances accuracy for both linear and angular displacement measurements.

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    Area of Science:

    • Metrology
    • Optical Measurement
    • Image Processing

    Background:

    • Image recognition algorithms offer advantages for displacement measurement.
    • Previous algorithms faced limitations in accuracy due to image location uncertainty.

    Purpose of the Study:

    • To propose a high-precision displacement measurement algorithm.
    • To improve the accuracy of image-based displacement measurement techniques.

    Main Methods:

    • A novel algorithm based on depth fusion of grating projection patterns.
    • Utilizing a line-scan image sensor, parallel light source, and calibration grating.
    • Employing centroid and ratio algorithms for precise calculations.

    Main Results:

    • Linear measurement accuracy improved from 4.63 µm to 1.26 µm.
    • Angular displacement measurement accuracy enhanced from 8.87 µm to 2.88 µm.
    • Validation through experiments on linear and angular displacement devices.

    Conclusions:

    • The proposed algorithm offers superior accuracy for displacement measurement.
    • Provides a theoretical foundation for developing high-performance displacement measurement systems.
    • Demonstrates significant improvements over existing image-based methods.