Abstract
A color-tunable novel-look-up-table (CT-NLUT) for fast one-step calculation of full-color computer-generated holograms is proposed. The proposed method is composed of four principal fringe patterns (PFPs) such as a baseline, a depth-compensating and two color-compensating PFPs. CGH patterns for one color are calculated by combined use of baseline-PFP and depth-compensating-PFP and from them, those for two other colors are generated by being multiplied by the corresponding color-compensating-PFPs. color-compensating-PFPs compensate for differences in the wavelength between two colors based on their unique achromatic thin-lens properties, enabling transformation of one-color CGH pattern into those for other colors. This color-conversion property of the proposed method enables simultaneous generation of full color-CGH patterns, resulting in a significant reduction of the full color-CGH calculation time. Experimental results with test scenario show that the full color-CGH calculation time of the proposed CT-NLUT has been reduced by 45.10%, compared to the conventional NLUT. It has been further reduced by 96.01% when a data compression algorithm, called temporal redundancy-based NLUT, was used together, which means 25-fold reduction of its full color-CGH calculation time. Successful computational and optical reconstructions of full color-CGH patterns confirm the feasibility of the proposed method.
Highlights
Object data and transmit them to the receiver
computer-generated holograms (CGHs) patterns for the R-color are initially calculated, and color-compensation processes are applied to them to generate two other CGH patterns for the G- & B-color. These G- & B-color CGH patterns are generated from the pre-calculated R-color CGH patterns just by being multiplied with their respective color-compensating-principal fringe patterns (PFPs), compensating differences in wavelength between the R and G, and the R and B, respectively
The total numbers of CGH calculation operations of the the R-color (TR)/ color-tunable novel-look-up-table (CT-NLUT) become 81,642 (39,262 + 256 + 42,124 (= 4814 + 18,655 × 2 )), for test scenario. These results show that the numbers of CGH calculation operations of the TR/CT-NLUT of the second case have been significantly reduced by 85.78% compared to those of the CT-NLUT of the first case
Summary
Object data and transmit them to the receiver. Hologram data for the compressed 3-D object data are locally generated at the receiver[14,15,16,17,18]. In this paper, we propose a color-tunable novel-look-up-table (CT-NLUT) method to simultaneously generate full-color CGH patterns in a single-step calculation process based on its unique achromatic thin-lens property. With this property, color conversions among three-color object data can be achieved, which allows a CGH pattern for one-color to be transformed into those for other colors. In case of being reconstructed with the G-color, the focused depth of the corresponding object point moves to a new location due to its chromatic aberration This chromatic aberration of a PFP can be corrected by combined use of the corresponding color-compensating-PFP just like an optical achromatic doublet lens. By being multiplied with proper color-compensating-PFPs, the PFP calculated for one color can be converted into those for other colors
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