Abstract

Even though there are many types of methods to generate CGH (computer-generated hologram) patterns of three-dimensional (3D) objects, most of them have been applied to still images but not to video images due to their computational complexity in applications of 3D video holograms. A new method for fast computation of CGH patterns for 3D video images is proposed by combined use of data compression and lookup table techniques. Temporally redundant data of the 3D video images are removed with the differential pulse code modulation (DPCM) algorithm, and then the CGH patterns for these compressed videos are generated with the novel lookup table (N-LUT) technique. To confirm the feasibility of the proposed method, some experiments with test 3D videos are carried out, and the results are comparatively discussed with the conventional methods in terms of the number of object points and computation time.

© 2008 Optical Society of America

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  1. K. Iizuka, “Welcome to the wonderful world of 3D: introduction, principles and history,” Opt. Photonics News 17, 42-51(2006).
    [CrossRef]
  2. C. J. Kuo and M. H. Tsai, Three-Dimensional Holographic Imaging (Wiley, 2002).
    [CrossRef]
  3. U. Schnars and W. Jueptner, Digital Holography--Digital Hologram Recording, Numerical Reconstruction, and Related Techniques (Springer, 2004).
  4. T.-C Poon, Digital Holography and Three-Dimensional Display (Springer, 2007).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  8. S.-C. Kim and E.-S. Kim, “Effective generation of digital holograms of 3D objects using a novel lookup table method,” Appl. Opt. 47, D55-D62 (2008).
    [CrossRef] [PubMed]
  9. H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).
  10. H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.
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    [PubMed]
  12. S. C. Kim, J. K. Lee, and E. S. Kim, “Fast generation of computer generated hologram with reduced lookup table,” in OSA Topical Meeting, Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007).

2008 (1)

2006 (1)

K. Iizuka, “Welcome to the wonderful world of 3D: introduction, principles and history,” Opt. Photonics News 17, 42-51(2006).
[CrossRef]

2001 (1)

1995 (1)

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

1993 (1)

M. Lucente, “Interactive computation of holograms using a lookup table,” J. Electron. Imaging 2, 28-34 (1993).
[CrossRef]

1967 (1)

Abookasis, D.

Hariharan, P.

P. Hariharan, Optical Holography; Principles, Techniques, and Applications, Cambridge Studies in Modern Optics (Cambridge University, 1996).
[PubMed]

Iizuka, K.

K. Iizuka, “Welcome to the wonderful world of 3D: introduction, principles and history,” Opt. Photonics News 17, 42-51(2006).
[CrossRef]

Jueptner, W.

U. Schnars and W. Jueptner, Digital Holography--Digital Hologram Recording, Numerical Reconstruction, and Related Techniques (Springer, 2004).

Kim, E. S.

S. C. Kim, J. K. Lee, and E. S. Kim, “Fast generation of computer generated hologram with reduced lookup table,” in OSA Topical Meeting, Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007).

Kim, E.-S.

Kim, S. C.

S. C. Kim, J. K. Lee, and E. S. Kim, “Fast generation of computer generated hologram with reduced lookup table,” in OSA Topical Meeting, Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007).

Kim, S.-C.

Kuo, C. J.

C. J. Kuo and M. H. Tsai, Three-Dimensional Holographic Imaging (Wiley, 2002).
[CrossRef]

Lee, J. K.

S. C. Kim, J. K. Lee, and E. S. Kim, “Fast generation of computer generated hologram with reduced lookup table,” in OSA Topical Meeting, Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007).

Li, Y.

Lohmann, A. W.

Lucente, M.

M. Lucente, “Interactive computation of holograms using a lookup table,” J. Electron. Imaging 2, 28-34 (1993).
[CrossRef]

Nakamura, T.

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Nishida, H.

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Okamoto, H.

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Paris, D. P.

Poon, T.-C

T.-C Poon, Digital Holography and Three-Dimensional Display (Springer, 2007).

Rosen, J.

Schnars, U.

U. Schnars and W. Jueptner, Digital Holography--Digital Hologram Recording, Numerical Reconstruction, and Related Techniques (Springer, 2004).

Shimizu, E.

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Taima, K.

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Takahashi, H.

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Tanaka, K.

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

Tsai, M. H.

C. J. Kuo and M. H. Tsai, Three-Dimensional Holographic Imaging (Wiley, 2002).
[CrossRef]

Ueda, H.

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

Appl. Opt. (3)

J. Electron. Imaging (1)

M. Lucente, “Interactive computation of holograms using a lookup table,” J. Electron. Imaging 2, 28-34 (1993).
[CrossRef]

Opt. Photonics News (1)

K. Iizuka, “Welcome to the wonderful world of 3D: introduction, principles and history,” Opt. Photonics News 17, 42-51(2006).
[CrossRef]

Proc. SPIE (1)

H. Takahashi, K. Tanaka, H. Okamoto, H. Ueda, and E. Shimizu, “Direct volume access by an improved electro-holography image generator,” Proc. SPIE 2406, 220-225(1995).

Other (6)

H. Okamoto, H. Ueda, K. Taima, T. Nakamura, H. Nishida, H. Takahashi, and E. Shimizu, “An interactive image creating system of truly three dimensional objects by electro-holography,” in Meeting Digest--Frontiers in Information Optics, Topical Meeting of ICO (International Commission for Optics, 1994), p. 303.

P. Hariharan, Optical Holography; Principles, Techniques, and Applications, Cambridge Studies in Modern Optics (Cambridge University, 1996).
[PubMed]

S. C. Kim, J. K. Lee, and E. S. Kim, “Fast generation of computer generated hologram with reduced lookup table,” in OSA Topical Meeting, Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007).

C. J. Kuo and M. H. Tsai, Three-Dimensional Holographic Imaging (Wiley, 2002).
[CrossRef]

U. Schnars and W. Jueptner, Digital Holography--Digital Hologram Recording, Numerical Reconstruction, and Related Techniques (Springer, 2004).

T.-C Poon, Digital Holography and Three-Dimensional Display (Springer, 2007).

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Figures (8)

Fig. 1
Fig. 1

Computational model for generation of Fresnel hologram.

Fig. 2
Fig. 2

Adjacent four frames of a 3D video: (a)–(d) intensity images; (e)–(h) depth images.

Fig. 3
Fig. 3

Block diagram of the proposed method for generation of CGH patterns for the 3D video.

Fig. 4
Fig. 4

Three frames of the intensity and depth images for each part of the test 3D videos.

Fig. 5
Fig. 5

Changed parts of the intensity and depth data between the previous and current 3D video frames.

Fig. 6
Fig. 6

Comparison results of the number of calculated object points and the calculation time dependence on the ratio of the image difference between the neighboring frames: (a) Number of the calculated object points; (b) Calculation time for one object frame.

Fig. 7
Fig. 7

Computationally reconstructed 3D video images.

Fig. 8
Fig. 8

Comparison results between the conventional and the proposed methods in terms of the number of the calculated object points and calculation times for one point and for one frame: (a) Number of the calculated object points; (b) Calculation time for one frame; (c) Calculation time for one object point.

Tables (2)

Tables Icon

Table 1 Comparisons of Computation Time and Memory Size for Three Methods

Tables Icon

Table 2 Comparison Results Between the Proposed and Conventional Methods

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

O ( x , y ) = p = 1 N a p r p exp [ j ( k r p + ϕ p ) ] ,
r p = ( x x p ) 2 + ( y y p ) 2 + z p 2 .
R ( x , y ) = a R exp [ j ( k x sin θ R ) ] .
I ( x , y ) = | R ( x , y ) + O ( x , y ) | 2 = | R ( x , y ) | 2 + | O ( x , y ) | 2 + 2 | R ( x , y ) | | O ( x , y ) | cos [ k r p + k x sin θ R + ϕ p ] .
I ( x , y ) = 2 p = 1 N a p r p cos ( k r p + k x sin θ R + ϕ p ) .
T ( x , y ; x p , y p , z p ) 1 r p cos [ k r p + k x sin θ R + ϕ p ] .
I ( x , y ) = p = 1 N a p T ( x , y ; x p , y p , z p ) .
T ( x , y ; z p ) 1 r p cos [ k r p + k x sin θ R + ϕ p ] .
I ( x , y ) = p = 1 N a p T ( x x p , y y p ; z p ) ,
O n ( x , y ) = p = 1 N n a p r p exp [ j ( k r p + ϕ p ) ] ,
I n ( x , y ) = I n 1 ( x , y ) p = 1 N d a p n 1 U n 1 ( x x p , y y p ; z p ) + p = 1 N d a p n U n ( x x p , y y p ; z p ) ,
U n ( x , y ; z p ) = { T ( x , y ; z p ) for     changed part 0 for     unchanged part .

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