M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, “The finite element method for the propagation of light
in scattering media: boundary and source conditions,” Med.
Phys.22(11), 1779–1792
(1995).

[CrossRef]
[PubMed]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

Z. Xu, H. Zhang, Y. Wang, X. Chang, and L. Yong, “L1/2 regularization,”
Sci. China Inform. Sci.53(6), 1159–1169
(2010).

[CrossRef]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

X. Chen, F. Xu, and Y. Ye, “Lower bound theory of nonzero entries in solutions of
l2-lp minimization,” SIAM J. Sci.
Comput.32(5), 2832–2852
(2010).

[CrossRef]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

M. Chu, K. Vishwanath, A. D. Klose, and H. Dehghani, “Light transport in biological tissue using
three-dimensional frequency-domain simplified spherical harmonics
equations,” Phys. Med. Biol.54(8), 2493–2509
(2009).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

W. Cong and G. Wang, “Bioluminescence tomography based on the phase
approximation model,” J. Opt. Soc. Am. A27(2), 174–179
(2010).

[CrossRef]
[PubMed]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, “A multilevel adaptive finite element algorithm for
bioluminescence tomography,” Opt. Express14(18), 8211–8223
(2006).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, and B. W. Pogue, “Spectrally resolved bioluminescence tomography using
the reciprocity approach,” Med. Phys.35(11), 4863–4871
(2008).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, S. Jiang, B. W. Pogue, K. D. Paulsen, and M. S. Patterson, “Spectrally resolved bioluminescence optical
tomography,” Opt. Lett.31(3), 365–367
(2006).

[CrossRef]
[PubMed]

M. Chu, K. Vishwanath, A. D. Klose, and H. Dehghani, “Light transport in biological tissue using
three-dimensional frequency-domain simplified spherical harmonics
equations,” Phys. Med. Biol.54(8), 2493–2509
(2009).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, and B. W. Pogue, “Spectrally resolved bioluminescence tomography using
the reciprocity approach,” Med. Phys.35(11), 4863–4871
(2008).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, S. Jiang, B. W. Pogue, K. D. Paulsen, and M. S. Patterson, “Spectrally resolved bioluminescence optical
tomography,” Opt. Lett.31(3), 365–367
(2006).

[CrossRef]
[PubMed]

M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, “The finite element method for the propagation of light
in scattering media: boundary and source conditions,” Med.
Phys.22(11), 1779–1792
(1995).

[CrossRef]
[PubMed]

D. Donoho, “Compresse sensing,” IEEE
Trans. Inf. Theory52(4), 1289–1306
(2006).

[CrossRef]

D. Donoho, “For most large underdetermined systems of linear
equations the minimal l1-norm near solution is also the sparest
solution,” Commun. Pure Appl. Math.59(6), 797–829
(2006).

[CrossRef]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, “The finite element method for the propagation of light
in scattering media: boundary and source conditions,” Med.
Phys.22(11), 1779–1792
(1995).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

R. Han, J. Liang, X. Qu, Y. Hou, N. Ren, J. Mao, and J. Tian, “A source reconstruction algorithm based on adaptive
hp-FEM for bioluminescence tomography,” Opt. Express17(17), 14481–14494
(2009).

[CrossRef]
[PubMed]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

M. Wei, W. Scott, J. James, H. McClellan, and G. Larson, “Estimation of the discrete spectrum of relaxations for
electromagnetic induction responses using lp-regularized least squares for 0
≤ p ≤ 1,” IEEE Geosci. Remote Sens.
Lett.8(2), 233–237
(2011).

[CrossRef]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, Y. Li, and M. Jiang, “Uniqueness theorems in bioluminescence
tomography,” Med. Phys.31(8), 2289–2299
(2004).

[CrossRef]
[PubMed]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

M. Chu, K. Vishwanath, A. D. Klose, and H. Dehghani, “Light transport in biological tissue using
three-dimensional frequency-domain simplified spherical harmonics
equations,” Phys. Med. Biol.54(8), 2493–2509
(2009).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

M. Wei, W. Scott, J. James, H. McClellan, and G. Larson, “Estimation of the discrete spectrum of relaxations for
electromagnetic induction responses using lp-regularized least squares for 0
≤ p ≤ 1,” IEEE Geosci. Remote Sens.
Lett.8(2), 233–237
(2011).

[CrossRef]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

G. Wang, Y. Li, and M. Jiang, “Uniqueness theorems in bioluminescence
tomography,” Med. Phys.31(8), 2289–2299
(2004).

[CrossRef]
[PubMed]

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

R. Han, J. Liang, X. Qu, Y. Hou, N. Ren, J. Mao, and J. Tian, “A source reconstruction algorithm based on adaptive
hp-FEM for bioluminescence tomography,” Opt. Express17(17), 14481–14494
(2009).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

Y. Lu, X. Zhang, A. Douraghy, D. Stout, J. Tian, T. F. Chan, and A. F. Chatziioannou, “Source reconstruction for spectrally-resolved
bioluminescence tomography with sparse a priori information,”
Opt. Express17(10), 8062–8080
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, “A multilevel adaptive finite element algorithm for
bioluminescence tomography,” Opt. Express14(18), 8211–8223
(2006).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

M. Wei, W. Scott, J. James, H. McClellan, and G. Larson, “Estimation of the discrete spectrum of relaxations for
electromagnetic induction responses using lp-regularized least squares for 0
≤ p ≤ 1,” IEEE Geosci. Remote Sens.
Lett.8(2), 233–237
(2011).

[CrossRef]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

R. Weissleder and M. J. Pittet, “Imaging in the era of molecular
oncology,” Nature452(7187), 580–589
(2008).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, and B. W. Pogue, “Spectrally resolved bioluminescence tomography using
the reciprocity approach,” Med. Phys.35(11), 4863–4871
(2008).

[CrossRef]
[PubMed]

H. Dehghani, S. C. Davis, S. Jiang, B. W. Pogue, K. D. Paulsen, and M. S. Patterson, “Spectrally resolved bioluminescence optical
tomography,” Opt. Lett.31(3), 365–367
(2006).

[CrossRef]
[PubMed]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

R. Han, J. Liang, X. Qu, Y. Hou, N. Ren, J. Mao, and J. Tian, “A source reconstruction algorithm based on adaptive
hp-FEM for bioluminescence tomography,” Opt. Express17(17), 14481–14494
(2009).

[CrossRef]
[PubMed]

A. Ribés and F. Schmitt, “Linear inverse problems in
imaging,” IEEE Signal Process. Mag.25(4), 84–99
(2008).

[CrossRef]

A. Ribés and F. Schmitt, “Linear inverse problems in
imaging,” IEEE Signal Process. Mag.25(4), 84–99
(2008).

[CrossRef]

M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, “The finite element method for the propagation of light
in scattering media: boundary and source conditions,” Med.
Phys.22(11), 1779–1792
(1995).

[CrossRef]
[PubMed]

M. Wei, W. Scott, J. James, H. McClellan, and G. Larson, “Estimation of the discrete spectrum of relaxations for
electromagnetic induction responses using lp-regularized least squares for 0
≤ p ≤ 1,” IEEE Geosci. Remote Sens.
Lett.8(2), 233–237
(2011).

[CrossRef]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. Conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, “Hyperspectral and multispectral bioluminescence optical
tomography for small animal imaging,” Phys. Med. Biol.50(23), 5421–5441
(2005).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Qu, H. Huang, Y. Hou, and J. Tian, “Truncated total least squares method with a practical
truncation parameter choice scheme for bioluminescence tomography inverse
problem,” Int. J. Biomed. Imaging2010, 291874 (2010).

[CrossRef]
[PubMed]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

R. Han, J. Liang, X. Qu, Y. Hou, N. Ren, J. Mao, and J. Tian, “A source reconstruction algorithm based on adaptive
hp-FEM for bioluminescence tomography,” Opt. Express17(17), 14481–14494
(2009).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

Y. Lu, X. Zhang, A. Douraghy, D. Stout, J. Tian, T. F. Chan, and A. F. Chatziioannou, “Source reconstruction for spectrally-resolved
bioluminescence tomography with sparse a priori information,”
Opt. Express17(10), 8062–8080
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, “A multilevel adaptive finite element algorithm for
bioluminescence tomography,” Opt. Express14(18), 8211–8223
(2006).

[CrossRef]
[PubMed]

A. N. Tikhonov, “Solution of incorrectly formulated problems and the
regularization method,” Soviet Math. Dokl.4, 1035–1038
(1963).

M. Chu, K. Vishwanath, A. D. Klose, and H. Dehghani, “Light transport in biological tissue using
three-dimensional frequency-domain simplified spherical harmonics
equations,” Phys. Med. Biol.54(8), 2493–2509
(2009).

[CrossRef]
[PubMed]

W. Cong and G. Wang, “Bioluminescence tomography based on the phase
approximation model,” J. Opt. Soc. Am. A27(2), 174–179
(2010).

[CrossRef]
[PubMed]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, “A multilevel adaptive finite element algorithm for
bioluminescence tomography,” Opt. Express14(18), 8211–8223
(2006).

[CrossRef]
[PubMed]

G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, “In vivo mouse studies with bioluminescence
tomography,” Opt. Express14(17), 7801–7809
(2006).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, Y. Li, and M. Jiang, “Uniqueness theorems in bioluminescence
tomography,” Med. Phys.31(8), 2289–2299
(2004).

[CrossRef]
[PubMed]

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. F. Meinel, “Development of the first bioluminescence CT
scanner,” Radiology229(P), 566 (2003).

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

Z. Xu, H. Zhang, Y. Wang, X. Chang, and L. Yong, “L1/2 regularization,”
Sci. China Inform. Sci.53(6), 1159–1169
(2010).

[CrossRef]

G. Wang, W. Cong, H. Shen, X. Qian, M. Henry, and Y. Wang, “Overview of bioluminescence tomography--a new molecular
imaging modality,” Front. Biosci.13(13), 1281–1293
(2008).

[CrossRef]
[PubMed]

M. Wei, W. Scott, J. James, H. McClellan, and G. Larson, “Estimation of the discrete spectrum of relaxations for
electromagnetic induction responses using lp-regularized least squares for 0
≤ p ≤ 1,” IEEE Geosci. Remote Sens.
Lett.8(2), 233–237
(2011).

[CrossRef]

R. Weissleder and M. J. Pittet, “Imaging in the era of molecular
oncology,” Nature452(7187), 580–589
(2008).

[CrossRef]
[PubMed]

X. Chen, F. Xu, and Y. Ye, “Lower bound theory of nonzero entries in solutions of
l2-lp minimization,” SIAM J. Sci.
Comput.32(5), 2832–2852
(2010).

[CrossRef]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Z. Xu, H. Zhang, Y. Wang, X. Chang, and L. Yong, “L1/2 regularization,”
Sci. China Inform. Sci.53(6), 1159–1169
(2010).

[CrossRef]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]

H. Huang, X. Qu, J. Liang, X. He, X. Chen, D. Yang, and J. Tian, “A multi-phase level set framework for source
reconstruction in bioluminescence tomography,” J. Comput.
Phys.229(13), 5246–5256
(2010).

[CrossRef]

Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, “Spectrally resolved bioluminescence tomography with
adaptive finite element analysis: methodology and simulation,”
Phys. Med. Biol.52(15), 4497–4512
(2007).

[CrossRef]
[PubMed]

Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, “A multilevel adaptive finite element algorithm for
bioluminescence tomography,” Opt. Express14(18), 8211–8223
(2006).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

X. Chen, F. Xu, and Y. Ye, “Lower bound theory of nonzero entries in solutions of
l2-lp minimization,” SIAM J. Sci.
Comput.32(5), 2832–2852
(2010).

[CrossRef]

Z. Xu, H. Zhang, Y. Wang, X. Chang, and L. Yong, “L1/2 regularization,”
Sci. China Inform. Sci.53(6), 1159–1169
(2010).

[CrossRef]

X. He, J. Liang, X. Wang, J. Yu, X. Qu, X. Wang, Y. Hou, D. Chen, F. Liu, and J. Tian, “Sparse reconstruction for quantitative bioluminescence
tomography based on the incomplete variables truncated conjugate gradient
method,” Opt. Express18(24), 24825–24841
(2010).

[CrossRef]
[PubMed]

W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, “Practical reconstruction method for bioluminescence
tomography,” Opt. Express13(18), 6756–6771
(2005).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

Z. Xu, H. Zhang, Y. Wang, X. Chang, and L. Yong, “L1/2 regularization,”
Sci. China Inform. Sci.53(6), 1159–1169
(2010).

[CrossRef]

Q. Zhang, X. Qu, D. Chen, X. Chen, J. Liang, and J. Tian, “Experimental three-dimensional bioluminescence
tomography reconstruction using the lp
regularization,” Adv. Sci. Lett.16(1), 125–129
(2012).

[CrossRef]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, “Sparse regularization-based reconstruction for
bioluminescence tomography using a multilevel adaptive finite element
method,” Int. J. Biomed. Imaging2011, 203537 (2011).

[CrossRef]
[PubMed]

X. Gu, Q. Zhang, L. Larcom, and H. Jiang, “Three-dimensional bioluminescence tomography with
model-based reconstruction,” Opt. Express12(17), 3996–4000
(2004).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

Y. Lu, X. Zhang, A. Douraghy, D. Stout, J. Tian, T. F. Chan, and A. F. Chatziioannou, “Source reconstruction for spectrally-resolved
bioluminescence tomography with sparse a priori information,”
Opt. Express17(10), 8062–8080
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

Q. Zhang, H. Zhao, D. Chen, X. Qu, X. Chen, X. He, W. Li, Z. Hu, J. Liu, J. Liang, and J. Tian, “Source sparsity based primal-dual interior-point method
for three-dimensional bioluminescence tomography,” Opt.
Commun.284(24), 5871–5876
(2011).

[CrossRef]

H. Gao and H. Zhao, “Multilevel bioluminescence tomography based on
radiative transfer equation part 2: total variation and l1 data
fidelity,” Opt. Express18(3), 2894–2912
(2010).

[CrossRef]
[PubMed]

H. Gao and H. Zhao, “Multilevel bioluminescence tomography based on
radiative transfer equation Part 1: l1 regularization,” Opt.
Express18(3), 1854–1871
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

B. Zhang, X. Yang, C. Qin, D. Liu, S. Zhu, J. Feng, L. Sun, K. Liu, D. Han, X. Ma, X. Zhang, J. Zhong, X. Li, X. Yang, and J. Tian, “A trust region method in adaptive finite element
framework for bioluminescence tomography,” Opt.
Express18(7), 6477–6491
(2010).

[CrossRef]
[PubMed]

K. Liu, J. Tian, Y. Lu, C. Qin, X. Yang, S. Zhu, and X. Zhang, “A fast bioluminescent source localization method based
on generalized graph cuts with mouse model validations,” Opt.
Express18(4), 3732–3745
(2010).

[CrossRef]
[PubMed]

C. Qin, J. Tian, X. Yang, J. Feng, K. Liu, J. Liu, G. Yan, S. Zhu, and M. Xu, “Adaptive improved element free Galerkin method for
quasi- or multi-spectral bioluminescence tomography,” Opt.
Express17(24), 21925–21934
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, C. Qin, G. Yan, S. Zhu, X. Zhang, J. Liu, and J. Tian, “Three-dimensional bioluminescence tomography based on
Bayesian approach,” Opt. Express17(19), 16834–16848
(2009).

[CrossRef]
[PubMed]

J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, “An optimal permissible source region strategy for
multispectral bioluminescence tomography,” Opt.
Express16(20), 15640–15654
(2008).

[CrossRef]
[PubMed]