Abstract

In this paper, we present a method to implement computational three-dimensional (3D) integral imaging (II). This method is based on Pixels of the Elemental Image Rearrangement Technique (PERT). In our proposed method for computational reconstruction of II, the reconstructed 3D image is obtained by using the entire elemental images which are captured from the lenslet array. Instead of averaging the elemental images, our proposed method rearranges pixels of each elemental image. Therefore, the reconstructed 3D image has the same number of pixels as the entire elemental images' pixels. To verify this computational reconstruction method, we have implemented optical experiments.

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  2. F. Okano, H. Hoshino, J. Arai, I. Yuyama, "Three-dimensional video system based on integral photography," Opt. Eng. 38, 1072-1077 (1999).
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  17. A. Stern, B. Javidi, "Three-dimensional image sensing visualization, and processing using integral imaging," Proc. IEEE 94, 591-607 (2006).
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  25. S. Yeom, B. Javidi, E. Watson, "Photon counting passive 3D image sensing for automatic target recognition," Opt. Express 13, 9310-9331 (2005).
  26. B. Javidi, S. H. Hong, O. Matoba, "Multidimensional optical sensor and imaging system," Appl. Opt. 45, 2986-2994 (2006).
  27. A. Stern, B. Javidi, "Ray phase space approach for 3D imaging and 3D optical data representation," IEEE J. Display Technol. 1, 141-150 (2005).
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  31. D. Knuth, The Art of Computer Programming (Addison-Wesley, 1997).

2007

R. Martínez-Cuenca, H. Navarro, G. Saavedra, B. Javidi, M. Martínez-Corral, "Enhanced viewing-angle integral imaging by multiple-axis telecentric relay system," Opt. Express 15, 16255-16260 (2007).

D. H. Shin, H. Yoo, "Image quality enhancement in 3D computational integral imaging by use of interpolation methods," Opt. Express 15, 12039-12049 (2007).

A. Castro, Y. Frauel, B. Javidi, "Integral imaging with large depth of field using an asymmetric phase mask," Opt. Express 15, 10266-10273 (2007).

2006

A. Stern, B. Javidi, "Three-dimensional image sensing visualization, and processing using integral imaging," Proc. IEEE 94, 591-607 (2006).

R. Martínez, A. Pons, G. Saavedra, M. Martínez-Corral, B. Javidi, "Optically-corrected elemental images for undistorted integral image display," Opt. Express 14, 9657-9663 (2006).

B. Javidi, S. H. Hong, O. Matoba, "Multidimensional optical sensor and imaging system," Appl. Opt. 45, 2986-2994 (2006).

2005

S. Yeom, B. Javidi, E. Watson, "Photon counting passive 3D image sensing for automatic target recognition," Opt. Express 13, 9310-9331 (2005).

A. Stern, B. Javidi, "Ray phase space approach for 3D imaging and 3D optical data representation," IEEE J. Display Technol. 1, 141-150 (2005).

2004

2003

2002

2001

1999

F. Okano, H. Hoshino, J. Arai, I. Yuyama, "Three-dimensional video system based on integral photography," Opt. Eng. 38, 1072-1077 (1999).

1998

H. Hoshino, F. Okano, H. Isono, I. Yuyama, "Analysis of resolution limitation of integral photography," J. Opt. Soc. Amer. 15, 2059-2065 (1998).

J. Arai, F. Okano, H. Hoshino, I. Yuyama, "Gradient-index lens-array method based on real time integral photography for three-dimensinoal images," Appl. Opt. 37, 2034-2045 (1998).

1971

1968

C. B. Burckhardt, "Optimum parameters and resolution limitation of integral photography," J. Opt. Soc. Amer. 58, 71-76 (1968).

1931

H. E. Ives, "Optical properties of a Lippmann lenticular sheet," J. Opt. Soc. Amer. 21, 171-176 (1931).

1908

G. Lippmann, "La photographic integrale," C. R. Acad. Sci. 146, 446-451 (1908).

Appl. Opt.

S.-W. Min, B. Javidi, B. Lee, "Enhanced three-dimensional integral imaging system by use of double display devices," Appl. Opt. 42, 4186-4195 (2003).

Appl. Opt.

C. R. Acad. Sci.

G. Lippmann, "La photographic integrale," C. R. Acad. Sci. 146, 446-451 (1908).

IEEE J. Display Technol.

A. Stern, B. Javidi, "Ray phase space approach for 3D imaging and 3D optical data representation," IEEE J. Display Technol. 1, 141-150 (2005).

J. Opt. Soc. Amer.

C. B. Burckhardt, "Optimum parameters and resolution limitation of integral photography," J. Opt. Soc. Amer. 58, 71-76 (1968).

J. Opt. Soc. Amer.

H. Hoshino, F. Okano, H. Isono, I. Yuyama, "Analysis of resolution limitation of integral photography," J. Opt. Soc. Amer. 15, 2059-2065 (1998).

H. E. Ives, "Optical properties of a Lippmann lenticular sheet," J. Opt. Soc. Amer. 21, 171-176 (1931).

Opt. Express

A. Castro, Y. Frauel, B. Javidi, "Integral imaging with large depth of field using an asymmetric phase mask," Opt. Express 15, 10266-10273 (2007).

D. H. Shin, H. Yoo, "Image quality enhancement in 3D computational integral imaging by use of interpolation methods," Opt. Express 15, 12039-12049 (2007).

S. Yeom, B. Javidi, E. Watson, "Photon counting passive 3D image sensing for automatic target recognition," Opt. Express 13, 9310-9331 (2005).

R. Martínez, A. Pons, G. Saavedra, M. Martínez-Corral, B. Javidi, "Optically-corrected elemental images for undistorted integral image display," Opt. Express 14, 9657-9663 (2006).

R. Martínez-Cuenca, H. Navarro, G. Saavedra, B. Javidi, M. Martínez-Corral, "Enhanced viewing-angle integral imaging by multiple-axis telecentric relay system," Opt. Express 15, 16255-16260 (2007).

Opt. Lett.

F. Jin, J.-S. Jang, B. Javidi, "Effect of device resolution on three-dimensional integral imaging," Opt. Lett. 29, 1345-1347 (2004).

Opt. Eng.

F. Okano, H. Hoshino, J. Arai, I. Yuyama, "Three-dimensional video system based on integral photography," Opt. Eng. 38, 1072-1077 (1999).

Opt. Express

Opt. Lett.

Proc. IEEE

A. Stern, B. Javidi, "Three-dimensional image sensing visualization, and processing using integral imaging," Proc. IEEE 94, 591-607 (2006).

Other

T. Okoshi, Three-Dimensional Imaging Technique (Academic, 1976).

M. Levoy, P. Hanrahan, "Light field rendering," Proc. SIGGRAPH (1996) pp. 31-42.

D. Knuth, The Art of Computer Programming (Addison-Wesley, 1997).

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