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Reducing the computational complexity of high-resolution hologram calculations using polynomial approximation.

Harutaka Shiomi, Tomoyoshi Shimobaba, Takashi Kakue

|June 29, 2023

Summary

This study introduces a faster hologram calculation method using polynomial approximations. The new approach significantly reduces computation time for point-cloud holograms, improving efficiency without sacrificing image quality.

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Area of Science:

Computational optics
Digital holography
Computer-generated holography

Background:

Point-cloud-based hologram calculations are computationally intensive.
Existing methods face challenges with high computational complexity, limiting practical applications.

Purpose of the Study:

To develop a computationally efficient method for calculating holograms from point clouds.
To reduce the complexity of hologram calculations while maintaining image fidelity.

Main Methods:

Utilized polynomial approximations to model the object wave.
Developed a novel hologram calculation algorithm based on these approximations.
Compared computational time and reconstructed image quality against conventional methods.

Main Results:

The proposed method reduces computational complexity from a product to a sum relationship.
Achieved approximately 10 times faster computation compared to conventional acceleration techniques.
Demonstrated minimal error in reconstructed image quality for objects distant from the hologram.

Conclusions:

Polynomial approximation offers a significant speed-up for point-cloud hologram calculations.
The method provides a practical solution for reducing computational load in digital holography.
This advancement enhances the feasibility of complex hologram generation and reconstruction.