Abstract
Phase-only holograms are more attractive than the amplitude holograms for the higher energy utilization and the possibility to realize on-axis holographic 3D display without conjugate image. In this study, we propose a high-resolution phase-only holographic 3D display using the light field images rendered in the frequency domain. The high-resolution phase-only hologram contains a large number of elemental phase-only holograms (EPHs), and each EPH is calculated from the light field image of the corresponding viewing point in frequency domain through weighted GS (Gerchberg-Saxton) algorithm. Parallel calculation is performed to speed up the calculation in the row direction and the previous EPH is used as the initial phase for the current EPH calculation in order to improve the display quality due to the great similarity between adjacent light field images. Two high-resolution phase-only holograms both with the size of 64 mm×64 mm and the resolution of 200k×200k pixels were calculated and printed by our homemade holographic printer. The full-parallax and high quality 3D displays were verified by optical experiments, which have the potential to be applied in holographic advertising and other fields.
Highlights
H OLOGRAPHIC 3D display is very attractive because of its ability to fully reconstruct the phase and amplitude information of 3D scenes [1], [2]
In order to use the GS algorithm to calculate the high-resolution phase-only hologram of arbitrarily complex 3D objects and improve the energy utilization, in this study, the high-resolution phase-only holographic 3D display by combing the concept of light field images rendered in the frequency domain and weighted GS algorithm is proposed
F name = sprintf ( H%03d%0d3d.bmp, ii, jj) imwrite(ph, f name) where jj is the loop variable in the column direction. ph is the calculated elemental phase-only holograms (EPHs) and the filename is printed with the function sprintf and the EPH is directly saved as one image
Summary
H OLOGRAPHIC 3D display is very attractive because of its ability to fully reconstruct the phase and amplitude information of 3D scenes [1], [2]. The fully computed holographic stereogram, frequency fusion method and light field image direct coding method have been proposed for high-resolution hologram calculation [17]–[19]. A mixed constraint sequential GS algorithm for multi-layers holographic 3D display has been proposed recently [23] This method, is difficult to achieve 3D display of a continuous 3D scene, and cannot be applied to high-resolution hologram calculation due to the limitation of computer memory and the huge amount of calculation. In order to use the GS algorithm to calculate the high-resolution phase-only hologram of arbitrarily complex 3D objects and improve the energy utilization, in this study, the high-resolution phase-only holographic 3D display by combing the concept of light field images rendered in the frequency domain and weighted GS algorithm is proposed. This work is organized as follows: Section II discusses the concept of the proposed method as well as the calculation of the high-resolution phase-only hologram.
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