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    This study introduces a fast cosine function approximation for computer-generated holograms (CGH), significantly reducing calculation time. The new method achieves sufficient CGH quality while being 1.6x faster than traditional look-up tables.

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    Area of Science:

    • Optics and Photonics
    • Computational Science
    • Digital Imaging

    Background:

    • Cosine function computation is a bottleneck in computer-generated hologram (CGH) creation.
    • Existing methods like look-up tables offer approximations but demand substantial computational resources and memory.
    • There is a need for efficient cosine approximations to accelerate CGH generation.

    Purpose of the Study:

    • To develop a simple and rapid cosine function approximation method tailored for CGH calculations.
    • To evaluate the effectiveness of the proposed method in terms of speed and hologram quality.
    • To compare the performance against conventional look-up table implementations.

    Main Methods:

    • A novel, simplified approximation algorithm for the cosine function was designed.
    • The approximation method was integrated into the CGH calculation pipeline.
    • Performance was evaluated on a Central Processing Unit (CPU) comparing calculation times and hologram fidelity.

    Main Results:

    • The proposed cosine approximation method significantly reduces computational load.
    • Computer-generated holograms of sufficient quality were successfully produced using the approximation.
    • Maximum calculation time was reduced by up to 1.6 times compared to using a cosine look-up table.

    Conclusions:

    • The developed cosine approximation offers a computationally efficient alternative for CGH generation.
    • This method provides a practical solution for accelerating CGH calculations without compromising hologram quality.
    • The approach presents a viable optimization for real-time or high-throughput CGH applications.