Abstract

For the ill-posed fluorescent molecular tomography (FMT) inverse problem, the L1 regularization can protect the high-frequency information like edges while effectively reduce the image noise. However, the state-of-the-art L1 regularization-based algorithms for FMT reconstruction are expensive in memory, especially for large-scale problems. An efficient L1 regularization-based reconstruction algorithm based on nonlinear conjugate gradient with restarted strategy is proposed to increase the computational speed with low memory consumption. The reconstruction results from phantom experiments demonstrate that the proposed algorithm can obtain high spatial resolution and high signal-to-noise ratio, as well as high localization accuracy for fluorescence targets.

© 2013 Optical Society of America

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J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, Phys. Med. Biol. 57, 1459 (2012).
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J. Shi, X. Cao, F. Liu, B. Zhang, J. Luo, and J. Bai, J. Opt. Soc. Am. 30, 437 (2013).
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X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, J. Biomed. Imaging 2011, 1 (2011).
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B. Zhang, S. Liu, X. Cao, F. Liu, X. Wang, J. Luo, B. Shan, and J. Bai, IEEE Trans. Multimedia 99, 1 (2013).

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F. Liu, X. Liu, D. Wang, B. Zhang, and J. Bai, Ann. Biomed. Eng. 38, 3440 (2010).
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J. Shi, X. Cao, F. Liu, B. Zhang, J. Luo, and J. Bai, J. Opt. Soc. Am. 30, 437 (2013).
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M. Lustig, D. L. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
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B. Zhang, S. Liu, X. Cao, F. Liu, X. Wang, J. Luo, B. Shan, and J. Bai, IEEE Trans. Multimedia 99, 1 (2013).

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Soubret, Antoine, J. Ripoll, and V. Ntziachristos, IEEE Trans. Med. Imaging. 24, 1377 (2005).

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X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, J. Biomed. Imaging 2011, 1 (2011).
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[CrossRef]

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

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F. Liu, X. Liu, D. Wang, B. Zhang, and J. Bai, Ann. Biomed. Eng. 38, 3440 (2010).
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B. Zhang, S. Liu, X. Cao, F. Liu, X. Wang, J. Luo, B. Shan, and J. Bai, IEEE Trans. Multimedia 99, 1 (2013).

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

Zhang, B.

B. Zhang, S. Liu, X. Cao, F. Liu, X. Wang, J. Luo, B. Shan, and J. Bai, IEEE Trans. Multimedia 99, 1 (2013).

J. Shi, X. Cao, F. Liu, B. Zhang, J. Luo, and J. Bai, J. Opt. Soc. Am. 30, 437 (2013).
[CrossRef]

F. Liu, X. Liu, D. Wang, B. Zhang, and J. Bai, Ann. Biomed. Eng. 38, 3440 (2010).
[CrossRef]

D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, and X. Yang, Opt. Express 18, 8630 (2010).
[CrossRef]

Zhang, Q.

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, J. Biomed. Imaging 2011, 1 (2011).
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Zhu, S.

Ann. Biomed. Eng.

F. Liu, X. Liu, D. Wang, B. Zhang, and J. Bai, Ann. Biomed. Eng. 38, 3440 (2010).
[CrossRef]

IEEE Trans. Med. Imaging.

Soubret, Antoine, J. Ripoll, and V. Ntziachristos, IEEE Trans. Med. Imaging. 24, 1377 (2005).

IEEE Trans. Multimedia

B. Zhang, S. Liu, X. Cao, F. Liu, X. Wang, J. Luo, B. Shan, and J. Bai, IEEE Trans. Multimedia 99, 1 (2013).

Inverse Probl.

S. R. Arridge, Inverse Probl. 15, R41 (1999).
[CrossRef]

J. Biomed. Imaging

X. He, Y. Hou, D. Chen, Y. Jiang, M. Shen, J. Liu, Q. Zhang, and J. Tian, J. Biomed. Imaging 2011, 1 (2011).
[CrossRef]

J. Opt. Soc. Am.

J. Shi, X. Cao, F. Liu, B. Zhang, J. Luo, and J. Bai, J. Opt. Soc. Am. 30, 437 (2013).
[CrossRef]

Magn. Reson. Med.

M. Lustig, D. L. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

Med. Phys.

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

Opt. Express

Opt. Lett.

Phys. Med. Biol.

J. Dutta, S. Ahn, C. Li, S. R. Cherry, and R. M. Leahy, Phys. Med. Biol. 57, 1459 (2012).
[CrossRef]

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