Point spread function engineering for wavelet-based hologram calculation

Holograms are calculated by superimposing point spread functions (PSFs) expressing light distribution on the hologram plane. Hologram calculations are accelerated through the recent proposed wavelet shrinkage-based superposition (WASABI) through the elimination of the small wavelet coefficient values of the PSF to yield an approximated light distribution calculated from a few representative wavelet coefficients. However, the approximated light distribution tends to lose the high-frequency components in the WASABI process. This study attempts to solve the problem through the proposed engineered PSFs using random sampling, double-superposed PSF, and Bessel apodization. Reconstructed images obtained through these engineered PSFs are compared for evaluation.