Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution

Abstract

Past research has demonstrated that a digital, complex Fresnel hologram can be converted into a phase-only hologram with the use of the bi-direction error diffusion (BERD) algorithm. However, the recursive nature error diffusion process is lengthy and increases monotonically with hologram size. In this paper, we propose a method to overcome this problem. Briefly, each row of a hologram is partitioned into short non-overlapping segments, and a localized error diffusion algorithm is applied to convert the pixels in each segment into phase only values. Subsequently, the error signal is redistributed with low-pass filtering. As the operation on each segment is independent of others, the conversion process can be conducted at high speed with the graphic processing unit. The hologram obtained with the proposed method, known as the Localized Error Diffusion and Redistribution (LERDR) hologram, is over two orders of magnitude faster than that obtained by BERD for a 2048×2048 hologram, exceeding the capability of generating quality phase-only holograms in video rate.

A scalable diffraction-based scanning 3D colour video display as demonstrated by using tiled gratings and a vertical diffuser

“…On the other hand, light field displays using incoherent light have an advantage of being free from the speckle noise in holographic displays9101112 while maintaining the potential to generate full 3D depth cues1314. Similarly, for light field displays to distribute the information needed and produce directional light effect, a light distribution system (scanning/tiling mechanism) is required.…”

Efficient recording and retrieval of complex digital Fresnel holograms based on the line partitioned autoassociative memory

“…To avoid these problems, we have adopted error diffusion [11] to attain high computation efficiency, as well as preserving good fidelity on the pictorial information represented by the binarized hologram. Our rationale is supported by the fact that the application of error diffusion in processing or binarization of complex holograms have been proven to be effective in past research works (such as [20]- [23]). In the second stage, we partitioned an AAM into a collection of sub-AAM (SAAM) each recording the input from a row of pixels the binarized hologram.…”

Review on the State-of-the-Art Technologies for Acquisition and Display of Digital Holograms

“…To overcome the first problem, a modified error diffusion known as localized error diffusion and redistribution (LERDR) is developed [88]. A complex hologram H (x, y) is uniformly partitioned into vertical strips each containing M pixels.…”

“…As the error diffusion process in each strip is separated from the other, and can be conducted in a parallel manner with a GPU. According to [88], a 2048 × 2048 complex hologram can be converted into a LERDR POH at over 100 frames/s.…”