Abstract

We report the first experimental test of an analytic image reconstruction algorithm for optical tomography with large data sets. Using a continuous-wave optical tomography system with 108 source–detector pairs, we demonstrate the reconstruction of an absorption image of a phantom consisting of a highly scattering medium containing absorbing inhomogeneities.

© 2005 Optical Society of America

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References

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  1. F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
    [CrossRef]
  2. T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
    [CrossRef]
  3. S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
    [CrossRef]
  4. R. Schulz, J. Ripoll, and V. Ntziachristos, Opt. Lett. 28, 1701 (2003).
    [CrossRef] [PubMed]
  5. G. Turner, G. Zacharakis, A. Soubret, J. Ripoll, and V. Ntziachristos, Opt. Lett. 30, 409 (2005).
    [CrossRef] [PubMed]
  6. D. Cuccia, F. Bevilacqua, A. Durkin, and B. Tromberg, Opt. Lett. 30, 1354 (2005).
    [CrossRef] [PubMed]
  7. V. A. Markel and J. C. Schotland, Appl. Phys. Lett. 81, 1180 (2002).
    [CrossRef]
  8. V. A. Markel and J. C. Schotland, Phys. Rev. E 70, 056616 (2004).
    [CrossRef]
  9. J. C. Schotland, J. Opt. Soc. Am. A 14, 275 (1997).
    [CrossRef]
  10. V. Markel and J. Schotland, J. Opt. Soc. Am. A 19, 558 (2002).
    [CrossRef]

2005

2004

V. A. Markel and J. C. Schotland, Phys. Rev. E 70, 056616 (2004).
[CrossRef]

2003

2002

V. A. Markel and J. C. Schotland, Appl. Phys. Lett. 81, 1180 (2002).
[CrossRef]

V. Markel and J. Schotland, J. Opt. Soc. Am. A 19, 558 (2002).
[CrossRef]

2001

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

2000

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

1999

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

1997

Bevilacqua, F.

Colak, S.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

Cuccia, D.

Delpy, D.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

Durkin, A.

Fry, M.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

Hebden, J.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

Hillman, E.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

Hooft, G.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

Hoogenraad, J.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

Jiang, S.

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

Kuijpers, F.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

Markel, V.

Markel, V. A.

V. A. Markel and J. C. Schotland, Phys. Rev. E 70, 056616 (2004).
[CrossRef]

V. A. Markel and J. C. Schotland, Appl. Phys. Lett. 81, 1180 (2002).
[CrossRef]

McBride, T.

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

Ntziachristos, V.

Osterberg, U.

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

Paulsen, K.

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

Pogue, B.

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

Ripoll, J.

Schmidt, F.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

Schotland, J.

Schotland, J. C.

V. A. Markel and J. C. Schotland, Phys. Rev. E 70, 056616 (2004).
[CrossRef]

V. A. Markel and J. C. Schotland, Appl. Phys. Lett. 81, 1180 (2002).
[CrossRef]

J. C. Schotland, J. Opt. Soc. Am. A 14, 275 (1997).
[CrossRef]

Schulz, R.

Soubret, A.

Tromberg, B.

Turner, G.

van der Linden, E.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

van der Mark, M.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

Zacharakis, G.

Appl. Phys. Lett.

V. A. Markel and J. C. Schotland, Appl. Phys. Lett. 81, 1180 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

S. Colak, M. van der Mark, G. Hooft, J. Hoogenraad, E. van der Linden, and F. Kuijpers, IEEE J. Sel. Top. Quantum Electron. 5, 1143 (1999).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Lett.

Phys. Rev. E

V. A. Markel and J. C. Schotland, Phys. Rev. E 70, 056616 (2004).
[CrossRef]

Rev. Sci. Instrum.

F. Schmidt, M. Fry, E. Hillman, J. Hebden, and D. Delpy, Rev. Sci. Instrum. 71, 256 (2000).
[CrossRef]

T. McBride, B. Pogue, S. Jiang, U. Osterberg, and K. Paulsen, Rev. Sci. Instrum. 72, 1817 (2001).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(Color online) Reconstructions of δ α for the two-ball phantom plotted on a linear color scale. The distance of each slice from the plane of sources is indicated. All images are normalized to the maximum of the central slice.

Fig. 2
Fig. 2

One-dimensional profiles of the reconstructed absorption along the line passing through the centers of the balls in the central slice. Results for different values of the detector separation h d are shown: (a) h d = 0.65 mm , (b) h d = 5.2 mm , (c) h d = 10.4 mm .

Fig. 3
Fig. 3

Frequency components of the data function for the central source where ϕ ̃ c ( q x ) = Σ x , y exp ( i q x x ) ϕ ( 0 , 0 ; x , y ) with the sum carried out over the lattice of detector positions.

Equations (2)

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

ϕ ( r 1 , r 2 ) = d 3 r G 0 ( r 1 , r ) G 0 ( r , r 2 ) δ α ( r ) ,
δ α ( r ) = FBZ ( h s ) d 2 q FBZ ( h d ) d 2 p K ( r ; q , p ) ϕ ̃ ( q p , p ) ,

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