Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane...

Area of Science:

• Optics
• Computer Graphics
• Holography

Background:

• Traditional methods for calculating Fresnel computer-generated holograms (CGHs) are computationally intensive, hindering real-time 3D display applications.
• The wavefront-recording plane (WRP) method, while effective, suffers from high calculation costs that prevent real-time processing.

Purpose of the Study:

• To develop a rapid calculation method for Fresnel CGHs suitable for three-dimensional (3D) display.
• To significantly reduce the computational complexity of CGH generation for improved performance.

Main Methods:

• A two-step approach involving the calculation of a wavefront-recording plane (WRP) and subsequent diffraction calculation to obtain the CGH.
• Integration of a look-up table method in the WRP calculation step for accelerated processing.
• Utilization of a graphics processing unit (GPU) for the diffraction calculation from WRP to CGH.

Main Results:

• Demonstrated a dramatic reduction in total computational complexity compared to conventional CGH calculation methods.
• Achieved optical reconstructions from a 2,048×2,048 phase-type CGH.
• Generated CGHs for approximately 3×10^4 object points at a rate exceeding 10 frames per second.

Conclusions:

• The proposed look-up table and GPU-accelerated method enables rapid Fresnel CGH calculation.
• This advancement facilitates real-time holographic video generation for 3D displays.
• The method offers a significant improvement in computational efficiency for holographic display technologies.