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Full-color autostereoscopic 3D display system using color-dispersion-compensated synthetic phase holograms

Kyongsik Choi, Hwi Kim, and Byoungho Lee

Open Access Open Access

Abstract

A novel full-color autostereoscopic three-dimensional (3D) display system has been developed using color-dispersion-compensated (CDC) synthetic phase holograms (SPHs) on a phase-type spatial light modulator. To design the CDC phase holograms, we used a modified iterative Fourier transform algorithm with scaling constants and phase quantization level constraints. We obtained a high diffraction efficiency (~90.04%), a large signal-to-noise ratio (~9.57dB), and a low reconstruction error (~0.0011) from our simulation results. Each optimized phase hologram was synthesized with each CDC directional hologram for red, green, and blue wavelengths for full-color autostereoscopic 3D display. The CDC SPHs were composed and modulated by only one phase-type spatial light modulator. We have demonstrated experimentally that the designed CDC SPHs are able to generate full-color autostereoscopic 3D images and video frames very well, without any use of glasses.

©2004 Optical Society of America

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Supplementary Material (3)

Media 1: AVI (1164 KB)     
Media 2: AVI (471 KB)     
Media 3: AVI (1457 KB)     

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Figures (3)
Fig. 1.
Fig. 1. Schematic diagram of our proposed full-color autostereoscopic 3D display system

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Fig. 2.
Fig. 2. Stereo input images for: (a) a sculpture of Shiller, and (b) a kissing scene. Images (c) and (d) are the designed CDC SPHs corresponding to (a) and (b), respectively. Images (e) and (f) are the corresponding reconstructed stereoscopic images (simulation).

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Fig. 3.
Fig. 3. (a) Experimental setup of our proposed autostereoscopic display system. (b) Reconstructed image. (c) Images of a sculpture of Shiller and a kissing scene, respectively. (d) Video image of the autostereoscopic 3D demo system. (e) Results of simulation video image, and (f) experimental video image. [Media 1] [Media 2] [Media 3]

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Equations (5)

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F ̂ ( x , y ) = 1 j λ z exp ( j 2 π z λ ) ∫ − ∞ ∞ ∫ W ( ξ , η ) H ( x − ξ , y − η ) d ξ d η ,
Δϕ = { α ϕ m ( V V 0 − 1 ) , if ( V − V 0 ) V 0 ≪ 1 ϕ m ( 1 − β V ) , if ( V − V 0 ) V 0 ≫ 1
Δ ϕ m i = 2 π d Δ n ( 1 λ 0 − 1 λ i ) , ( i = R , G , B )
ε 0 = σ F ∫ − ∞ ∞ ∫ [ | F ̂ ( x , y ) | − B 0 ( x , y ) ] 2 d x d y + σ S ∫ S ∫ [ | F ̂ ( x , y ) | − B 0 ( x , y ) ] 2 d x d y
+ σ N ∫ N [ | F ̂ ( x , y ) | 2 d x d y + α D ∫ S ∫ [ ( ∂ x ∣ F ̂ ∣ ) 2 + ( ∂ y ∣ F ̂ ∣ ) 2 ] d x d y
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