Abstract

We have extended a random-walk theory that uses time-dependent contrast functions to quantify the cross section and the corrected scattering and absorption coefficients of abnormal nonlocalized targets from time-of-flight (TOF) data obtained in time-resolved transillumination experiments. Experimental TOF’s are used to show that this newly developed random-walk method is able to quantify the size and the optical properties of embedded nonlocalized targets in with an error rate of 25%.

© 2000 Optical Society of America

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  1. J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
    [CrossRef] [PubMed]
  2. S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
    [CrossRef] [PubMed]
  3. A. H. Gandjbakhche and G. H. Weiss, in Progress in Optics, E. Wolf, ed. (Pergamon, London, 1995), Vol. 34, p. 333.
    [CrossRef]
  4. A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
    [CrossRef]
  5. J. C. Hebden and S. R. Arridge, Appl. Opt. 35, 6788 (1996).
    [CrossRef] [PubMed]
  6. Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
    [CrossRef]
  7. R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
    [CrossRef] [PubMed]
  8. Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
    [CrossRef]

1999 (2)

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

1998 (1)

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

1997 (2)

J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
[CrossRef] [PubMed]

S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
[CrossRef] [PubMed]

1996 (2)

J. C. Hebden and S. R. Arridge, Appl. Opt. 35, 6788 (1996).
[CrossRef] [PubMed]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Arridge, S. R.

J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
[CrossRef] [PubMed]

S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
[CrossRef] [PubMed]

J. C. Hebden and S. R. Arridge, Appl. Opt. 35, 6788 (1996).
[CrossRef] [PubMed]

Beaudry, P.

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

Chernomordik, V.

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

Cubeddu, R.

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Delpy, D. T.

J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
[CrossRef] [PubMed]

Gandjbakhche, A. H.

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

A. H. Gandjbakhche and G. H. Weiss, in Progress in Optics, E. Wolf, ed. (Pergamon, London, 1995), Vol. 34, p. 333.
[CrossRef]

Hebden, J. C.

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
[CrossRef] [PubMed]

S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
[CrossRef] [PubMed]

J. C. Hebden and S. R. Arridge, Appl. Opt. 35, 6788 (1996).
[CrossRef] [PubMed]

Mailloux, A.

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

Morin, M.

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Nossal, R.

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

Painchaud, Y.

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

Pifferi, A.

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Taroni, P.

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Torriceli, A.

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Valentini, G.

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Verreault, S.

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

Weiss, G. H.

A. H. Gandjbakhche and G. H. Weiss, in Progress in Optics, E. Wolf, ed. (Pergamon, London, 1995), Vol. 34, p. 333.
[CrossRef]

Appl. Opt. (4)

A. H. Gandjbakhche, V. Chernomordik, J. C. Hebden, and R. Nossal, Appl. Opt. 37, 1973 (1998).
[CrossRef]

J. C. Hebden and S. R. Arridge, Appl. Opt. 35, 6788 (1996).
[CrossRef] [PubMed]

Y. Painchaud, A. Mailloux, M. Morin, S. Verreault, and P. Beaudry, Appl. Opt. 38, 3686 (1999).
[CrossRef]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torriceli, and G. Valentini, Appl. Opt. 35, 4533 (1996).
[CrossRef] [PubMed]

Phys. Med. Biol. (2)

J. C. Hebden, S. R. Arridge, and D. T. Delpy, Phys. Med. Biol. 42, 825 (1997).
[CrossRef] [PubMed]

S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
[CrossRef] [PubMed]

Proc. SPIE (1)

Y. Painchaud, M. Morin, A. Mailloux, and P. Beaudry, Proc. SPIE 3597, 556 (1999).
[CrossRef]

Other (1)

A. H. Gandjbakhche and G. H. Weiss, in Progress in Optics, E. Wolf, ed. (Pergamon, London, 1995), Vol. 34, p. 333.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Dependence of contrast on the derivative of the point-spread function for inclusions with increased scattering and with and without increased absorption (Milan data).

Fig. 2
Fig. 2

Dependence of contrast on the squared size of scattering inclusion d2 for different values of time delay (experimental data from Ref. 8).

Tables (1)

Tables Icon

Table 1 Estimated Parameters for Three Inclusionsa

Equations (6)

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Cx,Δt=Ix,Δt-Ix0,ΔtIx0,Δt.
Cax,ΔtNa3ηeffWx,ΔtpΔt,
ηeff=η0 exp-Δμaμsc0di22=η0 exp-η0μsc0di22,
Δτ=di2μsc-μsc02c=di2Δμsc2c;
Cscx,Δt1pΔtdWx,ΔtdtΔτ=dW˜x,ΔtΔτ.
Φη0=1-ηeff/η0 expη0μsc0di2/2=0.

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