Holograms are computable by superimposing zone-plate-like point spread functions (PSFs), representing the distribution of light on the hologram plane. However, due to the computational cost of large-scale holograms, it is difficult to compute them at video rates for high-definition holographic displays. Recently, we proposed radial PSFs for holographic near-eye displays [Appl. Opt.60, 8829-8837, (2021).]. Radial PSFs can speed-up hologram computations for fixed viewpoints, but they are unsuitable for naked-eye displays with wide viewing angles because of the reduced information in the PSFs. This study proposes blocked radial PSFs, which can accelerate computations with radial PSFs, and windmill PSFs (rotational radial PSFs). Both can be applied easily to holographic displays with wide viewing angles.