Abstract

A new tomographic image reconstruction method is proposed that uses a genetic algorithm (GA), a robust optimization algorithm based on the genetic principle of natural selection. For the purpose of description, a simple axisymmetric reference density field is reconstructed from its interferometric projection by the developed GA-based tomography. This preliminary investigation shows a promising potential of the GA-based tomography to overcome the problems associated with other existing tomographic methods, particularly for limited projections.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1987), Chap. 3.
  2. R. Goulard, P. J. Emmerman, “Combustion diagnostics by multiangular absorption,” in Inverse Scattering Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, Berlin, 1980), Chap. 6.
    [CrossRef]
  3. R. Gordon, IEEE Trans. Nucl. Sci. 21, 78 (1974).
  4. A. J. Decker, “Tomographic methods in flow diagnostics,” Rep. 106330 (NASA, Washington, D.C., 1993).
  5. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, New York, 1989), Chaps. 1 and 2.
  6. K. M. Hanson, G. W. Wecksung, Appl. Opt. 24, 4028 (1985).
    [CrossRef] [PubMed]
  7. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), Chap. 1.
  8. K. D. Kihm, “Laser speckle photography technique applied for heat and mass transfer problems,” Adv. Heat Transfer (to be published).
  9. D. D. Verhoeven, Appl. Opt. 32, 3736 (1993).
    [CrossRef] [PubMed]

1993

1985

1974

R. Gordon, IEEE Trans. Nucl. Sci. 21, 78 (1974).

Decker, A. J.

A. J. Decker, “Tomographic methods in flow diagnostics,” Rep. 106330 (NASA, Washington, D.C., 1993).

Emmerman, P. J.

R. Goulard, P. J. Emmerman, “Combustion diagnostics by multiangular absorption,” in Inverse Scattering Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, Berlin, 1980), Chap. 6.
[CrossRef]

Goldberg, D. E.

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, New York, 1989), Chaps. 1 and 2.

Gordon, R.

R. Gordon, IEEE Trans. Nucl. Sci. 21, 78 (1974).

Goulard, R.

R. Goulard, P. J. Emmerman, “Combustion diagnostics by multiangular absorption,” in Inverse Scattering Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, Berlin, 1980), Chap. 6.
[CrossRef]

Hanson, K. M.

Kak, A. C.

A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1987), Chap. 3.

Kihm, K. D.

K. D. Kihm, “Laser speckle photography technique applied for heat and mass transfer problems,” Adv. Heat Transfer (to be published).

Slaney, M.

A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1987), Chap. 3.

Verhoeven, D. D.

Vest, C. M.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), Chap. 1.

Wecksung, G. W.

Appl. Opt.

IEEE Trans. Nucl. Sci.

R. Gordon, IEEE Trans. Nucl. Sci. 21, 78 (1974).

Other

A. J. Decker, “Tomographic methods in flow diagnostics,” Rep. 106330 (NASA, Washington, D.C., 1993).

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, New York, 1989), Chaps. 1 and 2.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), Chap. 1.

K. D. Kihm, “Laser speckle photography technique applied for heat and mass transfer problems,” Adv. Heat Transfer (to be published).

A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1987), Chap. 3.

R. Goulard, P. J. Emmerman, “Combustion diagnostics by multiangular absorption,” in Inverse Scattering Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, Berlin, 1980), Chap. 6.
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Axisymmetric density field to be reconstructed with 10 nodal points.

Fig. 2
Fig. 2

Axisymmetric density field to be reconstructed with 10 EDF's.

Fig. 3
Fig. 3

Evolution of the reconstructed density field with evolving generations.

Fig. 4
Fig. 4

History of fitness value with evolving generations.

Fig. 5
Fig. 5

Optimized EDF's conforming to the reconstructed density field at the 1000th generation.

Equations (1)

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

ρ ( r ) = K a exp ( K b r 2 ) + K c r exp ( K b r 2 ) ,

Metrics