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    This study introduces a novel Laguerre-Gaussian (LG) transform for analyzing high-speed rotating objects. This new method provides a stable spectrum for real-time image processing in industrial and astronomical applications.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Mechanical Engineering

    Background:

    • Tracking high-speed rotating objects is essential for practical applications.
    • Traditional Fourier transform methods fail due to changing spectra of rotating objects.

    Purpose of the Study:

    • To propose a new method for analyzing high-speed rotating objects.
    • To develop a stable spectral analysis technique for rotating objects.

    Main Methods:

    • A Laguerre-Gaussian (LG) transform was developed and applied.
    • The rotation of the object was utilized to acquire a stable LG-mode spectrum.

    Main Results:

    • The proposed LG transform yields a stable spectrum for rotating objects, irrespective of speed.
    • The LG spectrum enables various image processing tasks like reconstruction and edge enhancement.

    Conclusions:

    • The Laguerre-Gaussian transform offers a robust solution for analyzing high-speed rotating objects.
    • This technique facilitates real-time monitoring in industrial and astronomical fields.