Signal window minimum average error algorithm for computer-generated holograms

We present an explanation of the minimum-average-error- (MAE-) based error diffusion algorithm for computer-generated hologram (CGH) calculation. This leads to a direct and straightforward link between the CGH reconstruction plane signal windows and the MAE diffusion weights: the diffusion weights should be the Fourier transform of the signal window function. A MAE algorithm based on these results is described and used to calculate test CGH’s, whose computer-simulated and experimental reconstructions confirm our analysis by generating true, low-error signal windows akin to those obtained with iterative algorithms. Comparisons made with an iterative algorithm show that the new algorithm is a powerful, low-computation-load, CGH binarization tool and that, when combined with random or image-independent diffusers, it makes possible the calculation of acceptable-performance, high-space–bandwidth-product CGH’s whose calculation would be unfeasible with iterative algorithms.