Shannon number and information capacity of three-dimensional integral imaging

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 21, Issue 9, 2004, Pages 1602-1612

  Stern, Adrian ^a   Javidi, Bahram ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CAPACITY; COMPUTATIONAL METHODS; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; IMAGE RECORDING; OPTICAL SYSTEMS; OPTICAL TRANSFER FUNCTION; PHOTOGRAPHY;

CAPTURING SYSTEM; COMPUTATIONAL INTEGRAL IMAGING; SHANNON NUMBER; SPACE BANDWIDTH PRODUCT; THREE DIMENSIONAL INTEGRAL IMAGING;

IMAGING SYSTEMS;

EID: 4544234369     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.001602     Document Type: Article

References (27)

1. G. Lippmann, "La photographic intergrale," C. R. Hebd. Seances Acad. Sci. 146, 446-451 (1908).
2. H. Arimoto and B. Javidi, "Integral three-dimensional imaging with computed reconstruction," Opt. Lett. 26, 157-159 (2001).
3. A. Stern and B. Javidi, "Three-dimensional image sensing and reconstruction with time-division multiplexed computational integral imaging," Appl. Opt. 42, 7036-7042 (2003).
4. T. Okoshi, "Optimum design and depth resolution of lens-sheet and projection-type three-dimensional displays," Appl. Opt. 10, 2284-2291 (1971).
5. C. B. Buckhardt, "Optimum parameters and resolution limitation of integral photography," J. Opt. Soc. Am. 58, 71-76 (1967).
6. H. Hoshino, F. Okano, H. Isono, and I. Yuyama, "Analysis of resolution limitation of integral photography," J. Opt. Soc. Am. A 15, 2059-2065 (1998).
7. J. Arai, H. Hoshino, M. Okui, and F. Okano, "Effects of focusing on the resolution characteristics of integral photography," J. Opt. Soc. Am. A 20, 996-1004 (2003).
8. F. Okano, H. Hoshino, J. Arai, and I. Yuyama, "Real-time pickup method for a three-dimensional image based on integral photography," Appl. Opt. 36, 1598-1603 (1997).
9. J. S. Jang, F. Jin, and B. Javidi, "Three-dimensional integral imaging with large depth of focus by use of real and virtual image fields," Opt. Lett. 28, 1421-1423 (2003).
10. M. Martínez-Corral, C. Ibánez-López, G. Saavedra, and M. T. Caballero, "Axial gain resolution in optical sectioning fluorescence microscopy by shaded-ring filters," Opt. Express 11, 1740-1745 (2003).
11. W. Luckosz, "Optical system with resolving power exceeding the classical limit," J. Opt. Soc. Am. 56, 1463-1472 (1966).
12. G. Toraldo di Francia, "Resolving power and information," J. Opt. Soc. Am. 45, 497-501 (1955).
13. G. Toraldo di Francia, "Degrees of freedom of an image," J. Opt. Soc. Am. 59, 799-804 (1969).
14. M. Bertero and E. R. Pike, "Signal processing for linear instrumental systems with noise: a general theory with illustrations from optical imaging and light scattering problems," in Handbook of Statistics, N. K. Bose and C. R. Rao, eds. (Elsevier Science, Amsterdam, 1993), Vol. 10, pp. 1-45.
15. A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).
16. M. J. Bastiaans, "Wigner distribution function and its application to first-order optics," J. Opt. Soc. Am. 69, 1710-1716 (1979).
17. A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004); errata, 21 10 (2004).
18. V. Arrizon and J. Ojeda-Castaneda, "Irradiance at Fresnel planes of a phase grating," J. Opt. Soc. Am. A 9, 1801-1806 (1992).
19. D. Dragoman, "The Wigner distribution in optics and optoelectronics" in Progress in Optics (Elsevier, Amsterdam, 1997), E. Wolf, ed., Vol. 37, pp. 1-56.
20. P. B. Catrysse and B. A. Wandell, "Optical efficiency of image sensor pixels," J. Opt. Soc. Am. A 19, 1610 (2002).
21. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
22. Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).
23. A. Stern and B. Javidi, "3-D computational synthetic aperture integral imaging (COMPSAII)," Opt. Express 11, 2446-2450 (2003).
24. . S. K. Park, R. Schowegerdt, and M. D. Kaczynski, "Modulation-transfer-function analysis for sampled image systems,"Appl. Opt. 23, 2572-2582 (1984).
25. O. Hadar and G. D. Boreman, "Oversampling requirements for pixilated-imager systems," Opt. Eng. 38, 782-785 (1999).
26. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991), Chap. 8.
27. F. C. E. Shannon, "Communication in the presence of noise," Proc. IRE 37, 447-457 (1949).