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PI Controller: Design01:24

PI Controller: Design

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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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Related Experiment Video

Updated: Oct 17, 2025

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Real-time motion-induced error compensation for 4-step phase-shifting profilometry.

Wenbo Guo, Zhoujie Wu, Qican Zhang

    Optics Express
    |October 7, 2021
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    Summary
    This summary is machine-generated.

    This study presents a new real-time method to compensate for motion-induced errors in 4-step phase-shifting profilometry. The technique improves 3D shape measurement accuracy for dynamic objects by averaging phases to correct errors efficiently.

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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Metrology

    Background:

    • Phase-shifting profilometry is crucial for high-accuracy 3D shape measurement.
    • Object motion in dynamic scenarios introduces motion-induced errors, complicating accurate measurements.
    • Existing compensation methods for motion-induced errors are often inconvenient and inefficient.

    Purpose of the Study:

    • To propose a real-time method for compensating motion-induced errors in 4-step phase-shifting profilometry.
    • To enhance the accuracy and efficiency of 3D shape measurement in dynamic environments.
    • To enable high-speed 3D reconstruction by addressing motion artifacts.

    Main Methods:

    • A novel compensation strategy using two groups of phase-shifted images (first three and last three fringes).
    • Calculation of two wrapped phases to identify and correct motion-induced phase shifts.
    • Implementation of a time sequence by recycling projection fringes for improved reconstruction efficiency.
    • Pixel-wise error compensation leveraging a π/2 phase shift between adjacent frames.

    Main Results:

    • The proposed method effectively compensates for motion-induced errors by averaging phases.
    • Achieved 50 frames per second (fps) real-time 3D measurement through GPU acceleration.
    • Experimental validation confirms significant reduction in motion-induced errors.
    • Improved efficiency in 3D reconstruction for dynamic scenes.

    Conclusions:

    • The developed method offers a convenient and efficient solution for real-time motion-induced error compensation in phase-shifting profilometry.
    • This technique enables high-speed, accurate 3D shape measurement even with object movement.
    • The findings contribute to advancing dynamic 3D measurement capabilities.