Abstract

The methods for obtaining a controlled magnification of three-dimensional (3-D) integral images are usually based on the increase of the spatial ray-sampling rate of elemental image arrays. This is usually done by use of the moving array-lenslet technique. The major drawback of this technique is the alignment complexity due to the small lenslet movement. In this paper, we are proposing a digital magnification method that uses interpolation principles to increase the spatial ray sampling rate of elemental image arrays without lenslet movement in the pickup procedure. We compare the reconstructed 3-D integral images obtained when using the optical or the digital magnification methods, and show that the quality of both reconstructed 3-D integral images is the same.

© 2006 IEEE

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J. Display Technol.

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

Appl. Opt.

C. R. Acad. Sci.

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

J. Appl. Opt.-Inf. Process.

S. W. Min, B. Javidi, B. Lee, "Enhanced 3D integral imaging system by use of double display devices," J. Appl. Opt.-Inf. Process. 42, 4186-4195 (2003).

J. Opt. Soc. Amer. A

M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, G. Saavedra, "Multifacet structure of observed reconstructed integral images," J. Opt. Soc. Amer. A 22, 597-603 (2005).

J. Opt. Soc. Amer. A

J. Arai, M. Okui, M. Kobayashi, F. Okano, "Geometrical effects of positional errors in integral photography," J. Opt. Soc. Amer. A 21, 951-958 (2004).

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

J. Opt. Soc. Amer.

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

Opt. Expr.

R. Martínez-Cuenca, G. Saavedra, M. Martínez-Corral, B. Javidi, "Enhanced depth of field integral imaging with sensor resolution constraints," Opt. Expr. 12, 5237-5242 (2004).

S.-H. Hong, B. Javidi, "Improved resolution 3D object reconstruction using computational integral imaging with time multiplexing," Opt. Expr. 12, 4579 (2004).

Opt. Lett.

J.-S. Jang, B. Javidi, "Improved viewing resolution of three-dimensional integral imaging by use of nonstationary micro-optics," Opt. Lett. 27, 324-326 (2002).

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

Opt. Eng.

N. Davies, M. McCormick, M. Brewin, "Design and analysis of an image transfer system using microlens array," Opt. Eng. 33, 3624-3633 (1994).

Opt. Expr.

J.-S. Jang, B. Javidi, "Three-dimensional projection integral imaging using micro-convex-mirror array," Opt. Expr. 12, 1077-1083 (2004).

Y.-W. Song, F. Jin, B. Javidi, "3D object scaling in integral imaging display by varying the spatial ray sampling rate," Opt. Expr. 13, 3242-3251 (2005).

Opt. Lett.

Proc. IEEE

A. Stern, B. Javidi, "3D visualization using computational integral imaging," Proc. IEEE 94, (2006).

T. Okoshi, "Three-dimensional display," Proc. IEEE 68, 548-564 (1980).

Other

Three Dimensional Television, Video, and Display Technology (Springer-Verlag, 2002).

Selected Papers on Three-Dimensional Displays (SPIE Optical Eng. Press, 2001).

P. Ambs, L. Bigue, R. Binet, J. Colineau, J.-C. Lehureau, J.-P. Huignard, "Image reconstruction using electro-optic holography," Proc. 16th Annu. Meeting of the IEEE Lasers and Electro-Optics Society, LEOS 2003 pp. 172-173.

R. C. Gonzalez, R. E. Woods, Digital Image Processing (Pearson Education, 2004).

A. K. Jain, Fundamentals of Digital Images Processing (Prentice Hall, 1989).

D. Kahaner, C. Moler, S. Nash, Numerical Methods and Software (Prentice Hall, 1989).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C++ (Cambridge Univ. Press, 2002).

N. Nikolaidis, I. Pitas, J. , 3D Image Processing Algorithms (Wiley, 2001).

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