Abstract

A novel approach that can more effectively use the structural information provided by the traditional imaging modalities in multimodal diffuse optical tomographic imaging is introduced. This approach is based on a prior image-constrained-1 minimization scheme and has been motivated by the recent progress in the sparse image reconstruction techniques. It is shown that the proposed framework is more effective in terms of localizing the tumor region and recovering the optical property values both in numerical and gelatin phantom cases compared to the traditional methods that use structural information.

© 2012 Optical Society of America

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  1. 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. 8, 933 (2007).
    [CrossRef]
  2. P. K. Yalavarthy, B. W. Pogue, H. Dehghani, C. M. Carpenter, S. Jiang, and K. D. Paulsen, Opt. Express 15, 8043 (2007).
    [CrossRef]
  3. C. B. Shaw and P. K. Yalavarthy, J. Biomed. Opt. 17, 086009 (2012).
    [CrossRef]
  4. J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
    [CrossRef]
  5. H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, Phil. Trans. R. Soc. A 367, 3073 (2009).
    [CrossRef]
  6. M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
    [CrossRef]
  7. B. W. Pogue and M. Patterson, J. Biomed. Opt. 11, 041102 (2006).
    [CrossRef]

2012 (1)

C. B. Shaw and P. K. Yalavarthy, J. Biomed. Opt. 17, 086009 (2012).
[CrossRef]

2011 (1)

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

2009 (1)

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

2007 (3)

M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
[CrossRef]

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. 8, 933 (2007).
[CrossRef]

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

2006 (1)

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

Carpenter, C. M.

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. 8, 933 (2007).
[CrossRef]

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

Dehghani, H.

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

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

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. 8, 933 (2007).
[CrossRef]

Donoho, D.

M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
[CrossRef]

Forero, J.

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. 8, 933 (2007).
[CrossRef]

Gibson, A.

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

Jiang, S.

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

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. 8, 933 (2007).
[CrossRef]

Kaufman, P. A.

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. 8, 933 (2007).
[CrossRef]

Kogel, C.

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. 8, 933 (2007).
[CrossRef]

Leng, S.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

Lustig, M.

M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
[CrossRef]

Manduca, A.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

McCollough, C. H.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

Patterson, M.

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

Paulsen, K. D.

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. 8, 933 (2007).
[CrossRef]

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

Pauly, J. M.

M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
[CrossRef]

Pogue, B. W.

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

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

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. 8, 933 (2007).
[CrossRef]

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

Poplack, S. P.

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. 8, 933 (2007).
[CrossRef]

Ramirez-Giraldo, J. C.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

Shaw, C. B.

C. B. Shaw and P. K. Yalavarthy, J. Biomed. Opt. 17, 086009 (2012).
[CrossRef]

Srinivasan, S.

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

Trzasko, J.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

Wang, X.

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. 8, 933 (2007).
[CrossRef]

Weaver, J. B.

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. 8, 933 (2007).
[CrossRef]

Wells, W. A.

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. 8, 933 (2007).
[CrossRef]

Yalavarthy, P. K.

Yu, L.

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

J. Biomed. Opt. (2)

C. B. Shaw and P. K. Yalavarthy, J. Biomed. Opt. 17, 086009 (2012).
[CrossRef]

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

Magn. Reson Med. (1)

M. Lustig, D. Donoho, and J. M. Pauly, Magn. Reson Med. 6, 1182 (2007).
[CrossRef]

Med. Phys. (1)

J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. H. McCollough, Med. Phys. 38, 2157 (2011).
[CrossRef]

Opt Lett. (1)

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. 8, 933 (2007).
[CrossRef]

Opt. Express (1)

Phil. Trans. R. Soc. A (1)

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

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Figures (2)

Fig. 1.
Fig. 1.

(a) Reconstructed μa distributions using reconstruction methods described in this Letter with numerically generated 1% noisy data using the target image (top-left). (b) The one-dimensional cross-sectional plot along the dashed line given in the target image for the reconstructed images in (a). The regularization parameters that were used are 80, 40, 20, and 50 for PIC-1, Laplacian, 1-norm-based, and 2-norm-based reconstruction methods, respectively.

Fig. 2.
Fig. 2.

Similar effort as Fig. 1 for the case of gelatin phantom data, except only PIC-1 and Laplacian based reconstruction methods were used. The corresponding regularization parameters that were used are 10 and 20.

Equations (8)

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.D(r)Φ(r)+μa(r)Φ(r)=Qo(r),
Ω1= 12y-G(μa)2+λ12L(μa-μa0)2
Δμa=(JTJ+λ1LTL)-1JTδ
Ω=αψ1(Δμa-μapr)1+(1-α)ψ2(Δμa)1s.t.JΔμa=δ,
Ω2=αψ1(Δμa-μapr)1+(1-α)ψ2(Δμa)1+λ22JΔμa-δ22,
Ω2|Δμa=αψT(Λ|Δμa-μapr)-1ψ(Δμa-μapr)+(1-α)ψT(Λ|Δμa)-1ψ(Δμa)+λ2JT(JΔμa-δ).
Δμat+1=Δμat-H-1|ΔμatΩ2|Δμat.
H|Δμa=αψT(Λ|Δμa-μapr)-1ψ+(1-α)ψT(Λ|Δμa)-1ψ+λ2JTJ.

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