Abstract

Image-guided diffuse optical tomography has the advantage of reducing the total number of optical parameters being reconstructed to the number of distinct tissue types identified by the traditional imaging modality, converting the optical image-reconstruction problem from underdetermined in nature to overdetermined. In such cases, the minimum required measurements might be far less compared to those of the traditional diffuse optical imaging. An approach to choose these optimally based on a data-resolution matrix is proposed, and it is shown that such a choice does not compromise the reconstruction performance.

© 2013 Optical Society of America

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References

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  1. B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
    [CrossRef]
  2. C. M. Carpenter, B. W. Pogue, S. Jiang, H. Dehghani, X. Wang, K. D. Paulsen, W. A. Wells, J. Forero, C. Kogel, J. B. Weaver, S. P. Poplack, and P. A. Kaufman, Opt. Lett. 32, 933 (2007).
    [CrossRef]
  3. P. K. Yalavarthy, B. W. Pogue, H. Dehghani, C. M. Carpenter, S. Jiang, and K. D. Paulsen, Opt. Express 15, 8043 (2007).
    [CrossRef]
  4. R. P. K. Jagannath and P. K. Yalavarthy, IEEE Trans. Biomed. Eng. 57, 2560 (2010).
    [CrossRef]
  5. D. A. Boas and A. M. Dale, Appl. Opt. 44, 1957 (2005).
    [CrossRef]
  6. Z. Li, V. Krishnaswamy, S. Jiang, S. C. Davis, S. Srinivasan, K. D. Paulsen, and B. W. Pogue, Opt. Lett. 35, 3964 (2010).
    [CrossRef]
  7. D. Karkala and P. K. Yalavarthy, Med. Phys. 39, 4715 (2012).
    [CrossRef]
  8. H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
    [CrossRef]
  9. B. W. Pogue and M. Patterson, J. Biomed. Opt. 11, 041102 (2006).
    [CrossRef]

2012 (1)

D. Karkala and P. K. Yalavarthy, Med. Phys. 39, 4715 (2012).
[CrossRef]

2011 (1)

B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
[CrossRef]

2010 (2)

2009 (1)

H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
[CrossRef]

2007 (2)

2006 (1)

B. W. Pogue and M. Patterson, J. Biomed. Opt. 11, 041102 (2006).
[CrossRef]

2005 (1)

Boas, D. A.

Carpenter, C. M.

Dale, A. M.

Davis, S. C.

B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
[CrossRef]

Z. Li, V. Krishnaswamy, S. Jiang, S. C. Davis, S. Srinivasan, K. D. Paulsen, and B. W. Pogue, Opt. Lett. 35, 3964 (2010).
[CrossRef]

Dehghani, H.

Forero, J.

Gibson, A.

H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
[CrossRef]

Jagannath, R. P. K.

R. P. K. Jagannath and P. K. Yalavarthy, IEEE Trans. Biomed. Eng. 57, 2560 (2010).
[CrossRef]

Jiang, S.

Karkala, D.

D. Karkala and P. K. Yalavarthy, Med. Phys. 39, 4715 (2012).
[CrossRef]

Kaufman, P. A.

Kogel, C.

Krishnaswamy, V.

Leblond, F.

B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
[CrossRef]

Li, Z.

Mastanduno, M. A.

B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
[CrossRef]

Patterson, M.

B. W. Pogue and M. Patterson, J. Biomed. Opt. 11, 041102 (2006).
[CrossRef]

Paulsen, K. D.

Pogue, B. W.

Poplack, S. P.

Srinivasan, S.

Z. Li, V. Krishnaswamy, S. Jiang, S. C. Davis, S. Srinivasan, K. D. Paulsen, and B. W. Pogue, Opt. Lett. 35, 3964 (2010).
[CrossRef]

H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
[CrossRef]

Wang, X.

Weaver, J. B.

Wells, W. A.

Yalavarthy, P. K.

D. Karkala and P. K. Yalavarthy, Med. Phys. 39, 4715 (2012).
[CrossRef]

R. P. K. Jagannath and P. K. Yalavarthy, IEEE Trans. Biomed. Eng. 57, 2560 (2010).
[CrossRef]

P. K. Yalavarthy, B. W. Pogue, H. Dehghani, C. M. Carpenter, S. Jiang, and K. D. Paulsen, Opt. Express 15, 8043 (2007).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Biomed. Eng. (1)

R. P. K. Jagannath and P. K. Yalavarthy, IEEE Trans. Biomed. Eng. 57, 2560 (2010).
[CrossRef]

J. Biomed. Opt. (1)

B. W. Pogue and M. Patterson, J. Biomed. Opt. 11, 041102 (2006).
[CrossRef]

Med. Phys. (1)

D. Karkala and P. K. Yalavarthy, Med. Phys. 39, 4715 (2012).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phil. Trans. R. Soc. A (2)

H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
[CrossRef]

B. W. Pogue, S. C. Davis, F. Leblond, M. A. Mastanduno, H. Dehghani, and K. D. Paulsen, Phil. Trans. R. Soc. A 369, 4531 (2011).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

Reconstructed μa distributions using all and an optimally chosen minimal number of measurements (M=6 in this case) with numerically generated 1% and 10% noisy data in a realistic breast case (top left, obtained from volunteer). The text on top of each distribution represents the number of measurements used, with the minimum being obtained using the proposed method, where the data noise level is given in parenthesis (λ=1.5 for all cases). The corresponding sources and detectors for each case are also indicated along with their corresponding μa distribution. The bottom-right corner μa distribution was obtained by randomly choosing six measurements. The one-dimensional cross-sectional profile plot passing through the tumor for all reconstruction cases is given at the right side.

Fig. 2.
Fig. 2.

Results of a similar effort to that for Fig. 1 for the case of experimental gelatin-phantom data. Here also the M (minimal measurements) was chosen as 6. The regularization parameter in this case was kept at 0.01.

Equations (5)

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.D(r)Φ(r)+μa(r)Φ(r)=Qo(r),
Ω=yG(μa)2,
Δμa=[JTJ+λI]1JTδ,
N=J[JTJ+λI]1JT,
J˜=J(Ind,:),

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