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[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

X. Liu and L. Huang, “Split Bregman iteration algorithm for total bounded variation regularization based image deblurring,” J. Math. Anal. Appl. 372, 486–495 (2010).

[CrossRef]

J. C. Baritaux, K. Hassler, and M. Unser, “An efﬁcient numerical method for general Lp regularization in ﬂuorescence molecular tomography,” IEEE Trans. Med. Imag. 29, 1075–1087 (2010).

[CrossRef]

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[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

[CrossRef]

M. Freiberger, C. Clason, and H. Scharfetter, “Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach,” Appl. Opt. 49, 3741–3747 (2010).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

P. Mohajerani, A. A. Eftekhar, J. Huang, and A. Adibi, “Optimal sparse solution for fluorescent diffuse optical tomography: theory and phantom experimental results,” Appl. Opt. 46, 1679–1685 (2007).

[CrossRef]

S. C. Davis, H. Dehghani, J. Wang, S. Jiang, B. W. Pogue, and K. D. Paulsen, “Image-guided diffuse optical fluorescence tomography implemented with Laplacian-type regularization,” Opt. Express 15, 4066–4082 (2007).

[CrossRef]

A. Corlu, R. Choe, T. Durduran, M. A. Rosen, M. Schweiger, and S. R. Arridge, “Three-dimensional in vivo fluorescence diffuse optical tomography of breast cancer in humans,” Opt. Express 15, 6696–6716 (2007).

[CrossRef]

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[CrossRef]

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[CrossRef]

R. Schultz, J. Ripoll, and V. Ntziachristos, “Experimental fluorescence tomography of tissues with noncontact measurements,” IEEE Trans. Med. Imag. 23, 492–500 (2004).

D. Strong and T. Chan, “Edge-preserving and scale-dependent properties of total variation regularization,” Inverse Probl. 19, S165–S187 (2003).

[CrossRef]

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

R. Acar and C. R. Vogel, “Analysis of bounded variation penalty methods for ill-posed problems,” Inverse Probl. 10, 1217–1229 (1994).

[CrossRef]

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, “Joint L1 and total variation regularization for fluorescence molecular tomography,” Phys. Med. Biol. 57, 1459–1476 (2012).

[CrossRef]

A. Corlu, R. Choe, T. Durduran, M. A. Rosen, M. Schweiger, and S. R. Arridge, “Three-dimensional in vivo fluorescence diffuse optical tomography of breast cancer in humans,” Opt. Express 15, 6696–6716 (2007).

[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, 1779–1792 (1995).

[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

J. C. Baritaux, K. Hassler, and M. Unser, “An efﬁcient numerical method for general Lp regularization in ﬂuorescence molecular tomography,” IEEE Trans. Med. Imag. 29, 1075–1087 (2010).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

J. F. Cai, S. Osher, and Z. Shen, “Split Bregman methods and frame based image restoration,” SIAM J. Multisc. Model. Simul.8, 337–369 (2009).

D. Strong and T. Chan, “Edge-preserving and scale-dependent properties of total variation regularization,” Inverse Probl. 19, S165–S187 (2003).

[CrossRef]

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[CrossRef]

S. Chang, B. Yu, and M. Vetterli, “Adaptive wavelet thresholding for image denoising and compression,” IEEE Trans. Image Proces. 9, 1532–1546 (2000).

[CrossRef]

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, “Joint L1 and total variation regularization for fluorescence molecular tomography,” Phys. Med. Biol. 57, 1459–1476 (2012).

[CrossRef]

R. Courant, K. Friedrichs, and H. Lewy, “Über die partiellen Differenzengleichungen der mathematischen Physik,” Math. Ann. 100, 32–74 (1928).

[CrossRef]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[CrossRef]

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[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, 1779–1792 (1995).

[CrossRef]

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, “Joint L1 and total variation regularization for fluorescence molecular tomography,” Phys. Med. Biol. 57, 1459–1476 (2012).

[CrossRef]

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[CrossRef]

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[CrossRef]

J. A. Fessler and W. L. Rogers, “Spatial resolution properties of penalized-likelihood image reconstruction: Spatial-invariant tomographs,” IEEE Trans. Image Process. 9, 1346–1358 (1996).

[CrossRef]

R. Courant, K. Friedrichs, and H. Lewy, “Über die partiellen Differenzengleichungen der mathematischen Physik,” Math. Ann. 100, 32–74 (1928).

[CrossRef]

M. J. Eppstein, D. J. Hawrysz, A. Godavarty, and E. M. SevickMuraca, “Three-dimensional, Bayesian image reconstruction from sparse and noisy data sets: near-infrared ﬂuorescence tomography,” Proc. Natl. Acad. Sci. USA 99, 9619–9624 (2002).

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R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

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J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

J. C. Baritaux, K. Hassler, and M. Unser, “An efﬁcient numerical method for general Lp regularization in ﬂuorescence molecular tomography,” IEEE Trans. Med. Imag. 29, 1075–1087 (2010).

[CrossRef]

M. J. Eppstein, D. J. Hawrysz, A. Godavarty, and E. M. SevickMuraca, “Three-dimensional, Bayesian image reconstruction from sparse and noisy data sets: near-infrared ﬂuorescence tomography,” Proc. Natl. Acad. Sci. USA 99, 9619–9624 (2002).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[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, 1779–1792 (1995).

[CrossRef]

X. Liu and L. Huang, “Split Bregman iteration algorithm for total bounded variation regularization based image deblurring,” J. Math. Anal. Appl. 372, 486–495 (2010).

[CrossRef]

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[CrossRef]

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[CrossRef]

C. L. Lawson and R J. Hanson, Solving Least Squares Problems (Prentice-Hall, 1974).

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, “Joint L1 and total variation regularization for fluorescence molecular tomography,” Phys. Med. Biol. 57, 1459–1476 (2012).

[CrossRef]

R. Courant, K. Friedrichs, and H. Lewy, “Über die partiellen Differenzengleichungen der mathematischen Physik,” Math. Ann. 100, 32–74 (1928).

[CrossRef]

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, “Joint L1 and total variation regularization for fluorescence molecular tomography,” Phys. Med. Biol. 57, 1459–1476 (2012).

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[CrossRef]

R. Schultz, J. Ripoll, and V. Ntziachristos, “Experimental fluorescence tomography of tissues with noncontact measurements,” IEEE Trans. Med. Imag. 23, 492–500 (2004).

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

V. Ntziachristos and R. Weissleder, “Experimental three-dimensional ﬂuorescence reconstruction of diffuse media using a normalized born approximation,” Opt. Lett. 26, 893–895 (2001).

[CrossRef]

T. Goldstein and S. Osher, “The Split Bregman method for L1-regularized problems,” SIAM J. Imaging Sci. 2, 323–343 (2009).

[CrossRef]

L. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Phys. D. 60, 259–268 (1992).

[CrossRef]

J. F. Cai, S. Osher, and Z. Shen, “Split Bregman methods and frame based image restoration,” SIAM J. Multisc. Model. Simul.8, 337–369 (2009).

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

[CrossRef]

R. Schultz, J. Ripoll, and V. Ntziachristos, “Experimental fluorescence tomography of tissues with noncontact measurements,” IEEE Trans. Med. Imag. 23, 492–500 (2004).

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

J. A. Fessler and W. L. Rogers, “Spatial resolution properties of penalized-likelihood image reconstruction: Spatial-invariant tomographs,” IEEE Trans. Image Process. 9, 1346–1358 (1996).

[CrossRef]

L. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Phys. D. 60, 259–268 (1992).

[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

R. Schultz, J. Ripoll, and V. Ntziachristos, “Experimental fluorescence tomography of tissues with noncontact measurements,” IEEE Trans. Med. Imag. 23, 492–500 (2004).

A. Corlu, R. Choe, T. Durduran, M. A. Rosen, M. Schweiger, and S. R. Arridge, “Three-dimensional in vivo fluorescence diffuse optical tomography of breast cancer in humans,” Opt. Express 15, 6696–6716 (2007).

[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, 1779–1792 (1995).

[CrossRef]

M. J. Eppstein, D. J. Hawrysz, A. Godavarty, and E. M. SevickMuraca, “Three-dimensional, Bayesian image reconstruction from sparse and noisy data sets: near-infrared ﬂuorescence tomography,” Proc. Natl. Acad. Sci. USA 99, 9619–9624 (2002).

[CrossRef]

J. F. Cai, S. Osher, and Z. Shen, “Split Bregman methods and frame based image restoration,” SIAM J. Multisc. Model. Simul.8, 337–369 (2009).

D. Strong and T. Chan, “Edge-preserving and scale-dependent properties of total variation regularization,” Inverse Probl. 19, S165–S187 (2003).

[CrossRef]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

J. C. Baritaux, K. Hassler, and M. Unser, “An efﬁcient numerical method for general Lp regularization in ﬂuorescence molecular tomography,” IEEE Trans. Med. Imag. 29, 1075–1087 (2010).

[CrossRef]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[CrossRef]

S. Chang, B. Yu, and M. Vetterli, “Adaptive wavelet thresholding for image denoising and compression,” IEEE Trans. Image Proces. 9, 1532–1546 (2000).

[CrossRef]

R. Acar and C. R. Vogel, “Analysis of bounded variation penalty methods for ill-posed problems,” Inverse Probl. 10, 1217–1229 (1994).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

V. Ntziachristos and R. Weissleder, “Experimental three-dimensional ﬂuorescence reconstruction of diffuse media using a normalized born approximation,” Opt. Lett. 26, 893–895 (2001).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

[CrossRef]

X. Intes, V. Ntziachristos, J. P. Culver, A. Yodh, and B. Chance, “Projection access order in algebraic reconstruction technique for diffuse optical tomography,” Phys. Med. Biol. 47, N1–N10 (2002).

[CrossRef]

S. Chang, B. Yu, and M. Vetterli, “Adaptive wavelet thresholding for image denoising and compression,” IEEE Trans. Image Proces. 9, 1532–1546 (2000).

[CrossRef]

P. Kisilev, M. Zibulevsky, and Y. Zeevi, “Wavelet representation and total variation regularization in emission tomography,” in 2001 International Conference on Image Processing (IEEE, 2001), Vol. 1, pp. 702–705.

[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, “A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization,” Opt. Express 18, 8630–8646 (2010).

[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

P. Kisilev, M. Zibulevsky, and Y. Zeevi, “Wavelet representation and total variation regularization in emission tomography,” in 2001 International Conference on Image Processing (IEEE, 2001), Vol. 1, pp. 702–705.

[CrossRef]

V. Ntziachristos, “Fluorescence molecular imaging,” Annu. Rev. Biomed. Eng. 8, 1–33 (2006).

[CrossRef]

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[CrossRef]

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[CrossRef]

D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, and J. Tian, “Efficient reconstruction method for L1 regularization in fluorescence molecular tomography,” Appl. Opt. 49, 6930–6937 (2010).

[CrossRef]

M. Freiberger, C. Clason, and H. Scharfetter, “Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach,” Appl. Opt. 49, 3741–3747 (2010).

[CrossRef]

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[CrossRef]

S. Chang, B. Yu, and M. Vetterli, “Adaptive wavelet thresholding for image denoising and compression,” IEEE Trans. Image Proces. 9, 1532–1546 (2000).

[CrossRef]

J. A. Fessler and W. L. Rogers, “Spatial resolution properties of penalized-likelihood image reconstruction: Spatial-invariant tomographs,” IEEE Trans. Image Process. 9, 1346–1358 (1996).

[CrossRef]

J. C. Baritaux, K. Hassler, and M. Unser, “An efﬁcient numerical method for general Lp regularization in ﬂuorescence molecular tomography,” IEEE Trans. Med. Imag. 29, 1075–1087 (2010).

[CrossRef]

J. C. Baritaux, K. Hassler, M. Bucher, S. Sanyal, and M. Unser, “Sparsity-driven reconstruction for FDOT with anatomical priors,” IEEE Trans. Med. Imag. 30, 1143–1153 (2011).

[CrossRef]

R. Schultz, J. Ripoll, and V. Ntziachristos, “Experimental fluorescence tomography of tissues with noncontact measurements,” IEEE Trans. Med. Imag. 23, 492–500 (2004).

R. Acar and C. R. Vogel, “Analysis of bounded variation penalty methods for ill-posed problems,” Inverse Probl. 10, 1217–1229 (1994).

[CrossRef]

D. Strong and T. Chan, “Edge-preserving and scale-dependent properties of total variation regularization,” Inverse Probl. 19, S165–S187 (2003).

[CrossRef]

X. Liu and L. Huang, “Split Bregman iteration algorithm for total bounded variation regularization based image deblurring,” J. Math. Anal. Appl. 372, 486–495 (2010).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]

R. Courant, K. Friedrichs, and H. Lewy, “Über die partiellen Differenzengleichungen der mathematischen Physik,” Math. Ann. 100, 32–74 (1928).

[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, 1779–1792 (1995).

[CrossRef]

V. Ntziachristos, C. Bremer, E. E. Graves, J. Ripoll, and R. Weissleder, “In vivo tomographic imaging of near-infrared fluorescent probes,” Mol. Imaging 1, 82–88 (2002).

[CrossRef]

S. C. Davis, H. Dehghani, J. Wang, S. Jiang, B. W. Pogue, and K. D. Paulsen, “Image-guided diffuse optical fluorescence tomography implemented with Laplacian-type regularization,” Opt. Express 15, 4066–4082 (2007).

[CrossRef]

A. Corlu, R. Choe, T. Durduran, M. A. Rosen, M. Schweiger, and S. R. Arridge, “Three-dimensional in vivo fluorescence diffuse optical tomography of breast cancer in humans,” Opt. Express 15, 6696–6716 (2007).

[CrossRef]

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