Abstract

A rapid calculation method of Fresnel computer-generated-hologram (CGH) using look-up table and wavefront-recording plane (WRP) methods toward three-dimensional (3D) display is presented. The method consists of two steps: the first step is the calculation of a WRP that is placed between a 3D object and a CGH. In the second step, we obtain an amplitude-type or phase-type CGH to execute diffraction calculation from the WRP to the CGH. The first step of the previous WRP method was difficult to calculate in real-time due to the calculation cost. In this paper, in order to obtain greater acceleration, we apply a look-up table method to the first step. In addition, we use a graphics processing unit in the second step. The total computational complexity is dramatically reduced in comparison with conventional CGH calculations. We show optical reconstructions from a 2,048 × 2,048 phase-type CGH generated by about 3 × 104 object points over 10 frames per second.

© 2010 Optical Society of America

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References

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2010

2009

2008

2006

2005

C. Slinger, C. Cameron, and M. Stanley, “Computer-Generated Holography as a Generic Display Technology,” Computer 38, 46–53 (2005).
[CrossRef]

1993

M. Lucente, “Interactive Computation of holograms using a Look-up Table,” J. Electron. Imaging 2, 28–34 (1993).
[CrossRef]

Ahrenberg, L.

Benzie, P.

Cameron, C.

C. Slinger, C. Cameron, and M. Stanley, “Computer-Generated Holography as a Generic Display Technology,” Computer 38, 46–53 (2005).
[CrossRef]

Ichihashi, N. Y.

Ito, T.

Kang, H.

Kim, E. S

Kim, E. S.

Kim, S. C.

Liang, X.

Lucente, M.

M. Lucente, “Interactive Computation of holograms using a Look-up Table,” J. Electron. Imaging 2, 28–34 (1993).
[CrossRef]

Magnor, M.

Masuda, N.

Miura, J.

Onural, L.

Pan, Y.

Sato, Y.

Shimobaba, T.

Shiraki, A.

Slinger, C.

C. Slinger, C. Cameron, and M. Stanley, “Computer-Generated Holography as a Generic Display Technology,” Computer 38, 46–53 (2005).
[CrossRef]

Solanki, S.

Stanley, M.

C. Slinger, C. Cameron, and M. Stanley, “Computer-Generated Holography as a Generic Display Technology,” Computer 38, 46–53 (2005).
[CrossRef]

Sugie, T.

Takada, N.

Takenouchi, M.

Tanaka, T.

Watson, J.

Xu, X.

Yaras, F.

Appl. Opt.

Computer

C. Slinger, C. Cameron, and M. Stanley, “Computer-Generated Holography as a Generic Display Technology,” Computer 38, 46–53 (2005).
[CrossRef]

J. Electron. Imaging

M. Lucente, “Interactive Computation of holograms using a Look-up Table,” J. Electron. Imaging 2, 28–34 (1993).
[CrossRef]

J. Opt. A: Pure Appl. Opt.

T. Shimobaba, et.al., “Numerical calculation library for diffraction integrals using the graphic processing unit : the GWO library,” J. Opt. A: Pure Appl. Opt. 10, 075308 (5pp) (2008).
[CrossRef]

Opt. Express

Opt. Lett.

Other

http://thegwolibrary.sourceforge.net/

http://www.fftw.org/

S. A. Benton et al., Holographic Imaging (Wiley-Interscience, 2008).

http://openmp.org/wp/

M. Lucente and T. A. Galyean, “Rendering Interactive Holographic Images,” Proc. of SIGGRAPH 95 387–394 (1995).

H. Yoshikawa, T. Yamaguchi, and R. Kitayama, “Real-Time Generation of Full color Image Hologram with Compact Distance Look-up Table,” OSA Topical Meeting on Digital Holography and Three-Dimensional Imaging 2009, DWC4 (2009).

Supplementary Material (2)

» Media 1: MOV (2132 KB)     
» Media 2: MOV (2122 KB)     

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Figures (2)

Fig. 1.
Fig. 1.

(a) Outline of the calculation with WRP. (b) Rectangular region on WRP (c) LUT with pyramid structure

Fig. 2.
Fig. 2.

(Media 1) (Media 2) Reconstructed 3D movies from 2,048 × 2,048 phase-type CGH by the improved WRP method. (a) Nanami (4,596 points) (b) Earth (30,492 points).

Tables (2)

Tables Icon

Table 1. Calculation times of conventional algorithm on the CPU and GPU, and the previous and improved WRP methods.

Tables Icon

Table 2. Calculation times of the step 1 and 2 in the previous and improved WRP methods.

Equations (6)

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u w ( x w , y w ) = j N A j R wj exp ( i 2 π λ R wj )
u ( x , y ) = exp ( i 2 π λ z ) i λ z u w ( x w , y w ) exp ( i π λ z ( ( x x w ) 2 + ( y y w ) 2 ) ) dx w dy w
= exp ( i 2 π λ z ) i λ z 1 [ [ u w ( x , y ) ] · [ h ( x , y ) ] ]
W j = d j tan ( sin 1 ( λ 2 p ) ) d j λ 2 p
L j = 2 W j 2 d j λ 1 . 4 p .
Mem = min { d j } max { d j } L j 2 = min { d j } max { d j } ( d j λ 1 . 4 p ) 2 .

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