Abstract

We propose a framework to model, analyze and design three-dimensional (3-D) imaging systems. A system engineering approach is adopted which relates 3-D images (real or synthesized) to 3-D objects (real or synthesized) using a novel representation of the optical data which we call "ray phase space." The framework provides a powerful tool for determining the performance of 3-D imaging systems, for generating computational reconstruction of 3-D images and for optimizing 3-D imaging systems.

© 2005 IEEE

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  1. T. Naemura and H. Harashima, "The ray-based approach to integrated 3-D visual communication," in Three-Dimensional Television, B. Javidi, F. Okano, Eds. Berlin, Heidelberg: Germany: Springer Verlag, 2002, pp. 183-213.
  2. F. S. Hill JR., Computer Graphics Suing Open GL, 2nd ed. Englewood Cliffs, NJ: 2001.
  3. E. H. Adelson and J. R. Bergen, "The plenoptic function and the elements of early vision," in Computational Models of Visual Processing, Chapter 1, M. Landy, and J. A. Movshon, Eds. Cambridge, MA: The MIT Press, 1991.
  4. S. J. Gortler, R. Grzeszczuk, R. Szeliski and M. F. Cohen, "The lumigraph", Computer Graphics , pp. 43-54, 1996.
  5. H. Hoshino, F. Okano, H. Isono and I. Yuyama, "Analysis of resolution limitation of integral photography", J. Opt. Soc. Amer. A., vol. 15, pp. 2059-2065, Aug. 1998 .
  6. A. Stern and B. Javidi, "3-D computational synthetic aperture integral imaging (COMPSAII)", Opt. Express, vol. 11, no. 19, pp. 2446 -2450, 2003.
  7. C. B. Burckhardt, "Optimum parameters and resolution limitation of integral photography", J. Opt. Soc. Amer., vol. 58, pp. 71-76, 1968.
  8. J. Arai, H. Hoshino, M. Okui and F. Okano, "Effects of focusing on the resolution characteristics of integral photography", J. Opt. Soc. Amer. A., vol. 20, no. 6, pp. 996-1004, 2003.
  9. A. Stern and B. Javidi, "Shannon number and information capacity of integral imaging", J. Opt. Soc. Amer. A, vol. 21, no. 9, pp. 1602-1612, 2004.
  10. G. C. Holst, Electro-Optical Imaging System Performance, Winter Park, FL: JCD Publ. and SPIE Optical Eng. Press, 1995.
  11. E. Wigner, "On the quantum correction for thermodynamic equilibrium", Phys. Rev., vol. 40, pp. 749-759, 1932.
  12. M. J. Bastiaans, "Wigner distribution function and its application to first-order optics", J. Opt. Soc. Amer. A, vol. 69, pp. 1710-1716, 1980.
  13. 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, 1993,vol. 10, pp. 1-45.
  14. G. T. DiFrancia, "Degrees of freedom of an image", J. Opt. Soc. Amer., vol. 59, pp. 799-804, 1969.

Other (14)

T. Naemura and H. Harashima, "The ray-based approach to integrated 3-D visual communication," in Three-Dimensional Television, B. Javidi, F. Okano, Eds. Berlin, Heidelberg: Germany: Springer Verlag, 2002, pp. 183-213.

F. S. Hill JR., Computer Graphics Suing Open GL, 2nd ed. Englewood Cliffs, NJ: 2001.

E. H. Adelson and J. R. Bergen, "The plenoptic function and the elements of early vision," in Computational Models of Visual Processing, Chapter 1, M. Landy, and J. A. Movshon, Eds. Cambridge, MA: The MIT Press, 1991.

S. J. Gortler, R. Grzeszczuk, R. Szeliski and M. F. Cohen, "The lumigraph", Computer Graphics , pp. 43-54, 1996.

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

A. Stern and B. Javidi, "3-D computational synthetic aperture integral imaging (COMPSAII)", Opt. Express, vol. 11, no. 19, pp. 2446 -2450, 2003.

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

J. Arai, H. Hoshino, M. Okui and F. Okano, "Effects of focusing on the resolution characteristics of integral photography", J. Opt. Soc. Amer. A., vol. 20, no. 6, pp. 996-1004, 2003.

A. Stern and B. Javidi, "Shannon number and information capacity of integral imaging", J. Opt. Soc. Amer. A, vol. 21, no. 9, pp. 1602-1612, 2004.

G. C. Holst, Electro-Optical Imaging System Performance, Winter Park, FL: JCD Publ. and SPIE Optical Eng. Press, 1995.

E. Wigner, "On the quantum correction for thermodynamic equilibrium", Phys. Rev., vol. 40, pp. 749-759, 1932.

M. J. Bastiaans, "Wigner distribution function and its application to first-order optics", J. Opt. Soc. Amer. A, vol. 69, pp. 1710-1716, 1980.

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, 1993,vol. 10, pp. 1-45.

G. T. DiFrancia, "Degrees of freedom of an image", J. Opt. Soc. Amer., vol. 59, pp. 799-804, 1969.

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