Adaptive regularized method based on homotopy for sparse fluorescence tomography

Applied Optics

Volumn 52, Issue 11, 2013, Pages 2374-2384

  Xue, Zhenwen ^a   Ma, Xibo ^a   Zhang, Qian ^b   Wu, Ping ^a   Yang, Xin ^a   Tian, Jie ^a,b  

^a INSTITUTE OF AUTOMATION   (China)

^b XIDIAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FLUORESCENCE; IMAGE RECONSTRUCTION; OPTICAL TOMOGRAPHY; PARAMETERIZATION; TOMOGRAPHY;

ADAPTIVE REGULARIZATION; FLUORESCENCE TOMOGRAPHY; HOMOTOPIES; IN-VIVO; ORDERS OF MAGNITUDE; RECONSTRUCTION ERROR; REGULARIZATION PARAMETERS; REGULARIZED METHOD;

NUMERICAL METHODS;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; FLUORESCENCE MICROSCOPY; IMAGE ENHANCEMENT; METHODOLOGY; OPTICAL TOMOGRAPHY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; PROCEDURES;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MICROSCOPY, FLUORESCENCE; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; TOMOGRAPHY, OPTICAL;

EID: 84876761107     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.52.002374     Document Type: Article

References (28)

1. V. Ntziachristos, J. Ripoll, L. V. Wang, and R. Weissleder, "Looking and listening to light: the evolution of whole body photon imaging," Nat. Biotechnol. 23, 313-320 (2005). (Pubitemid 41094419)
2. J. K. Willmann, N. van Bruggen, L. M. Dinkelborg, and S. S. Gambhir, "Molecular imaging in drug development," Nat. Rev. Drug Discov. 7, 591-607 (2008). (Pubitemid 351927724)
3. X. Ma, J. Tian, X. Yang, C. Qin, S. Zhu, and Z. Xue, "Research on liver tumor proliferation and angiogenesis based on multi-modality molecular imaging," Acta Biophys. Sin. 27, 355-364 (2011).
4. P. Mohajerani, A. A. Eftekhar, J. Huang, and A. Adibi, "Optimal sparse solution for fluorescence tomography: theory and phantom experimental results," Appl. Opt. 46, 1679-1685 (2007). (Pubitemid 46659534)
5. X. Song, D. Wang, N. Chen, J. Bai, and H. Wang, "Reconstruction for free-space fluorescence tomography using a novel hybrid adaptive finite element algorithm," Opt. Express 15, 18300-18317 (2007).
6. Y. Tan and H. Jiang, "Diffuse optical tomography guided quantitative fluorescence molecular imaging," Appl. Opt. 47, 2011-2016 (2008).
7. F. Leblond, K. M. Tichauer, R. W Holt, F. El-Ghussein, and B. W Pogue, "Toward whole-body optical imaging of rats using single-photon counting fluorescence tomography," Opt. Lett. 36, 3723-3725 (2011).
8. T. J. Rudge, V. Y Soloviev, and S. R. Arridge, "Fast image reconstruction in fluorescence optical tomography using data compression," Opt. Lett. 35, 763-765 (2010).
9. 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. Express 17, 8062-8080 (2009).
10. 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).
11. N. Cao, A. Nehorai, and M. Jacob, "Image reconstruction for diffuse optical tomography using sparse regularization," Opt. Express 15, 13695-13708 (2007).
12. E. T. Hale, W Yin, and Y Zhang, "A fixed-point continuation method for l1-regularized minimization with applications to compresses sensing," Technical report 07-07 (Department of Computational and Applied Mathematics, Rice University, 2007).
13. M. Elad, B. Matalon, and M. Zibulevsky "Coordinate and subspace optimization methods for linear least squares with non-quadratic regularization," Appl. Comput. Harmon. Anal. 23, 346-367 (2007). (Pubitemid 47552874)
14. M. R. Osborne, B. Presnell, and B. A. Turlach, "A new approach to variable selection in least squares problems," IMA J. Numer. Anal. 20, 389-403 (2000).
15. B. Efron, T. Hastie, I. M. Johnstone, and R. Tibshirani, "Least angle regression," Ann. Statist. 32, 407-499 (2004). (Pubitemid 41250302)
16. J. Friedman, T. Hastie, and R. Tibshirani, "Regularization paths for generalized linear models via coordinate descent," J. Stat. Software 33, 1-22 (2010).
17. 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).
18. D. Wang, X. Liu, Y Chen, and J. Bai, "A novel finite-element-based algorithm for fluorescence molecular tomography of heterogeneous media," IEEE Trans. Inf. Technol. Biomed. 13, 766-773 (2009).
19. D. P. Bertsekas, Convex Analysis and Optimization (Athena Scientific, 2003).
20. A. X. Cong and G. Wang, "A finite-element-based reconstruction method for 3D fluorescence tomography," Opt. Express 13, 9847-9857 (2005). (Pubitemid 41692757)
21. 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 tomograph," Opt. Express 13, 6756-6771 (2005). (Pubitemid 41305547)
22. C. Qin, S. Zhu, and J. Tian, "New optical molecular imaging systems," Curr. Pharm. Biotechnol. 11, 620-627 (2010).
23. S. Zhu, J. Tian, G. Yan, C. Qin, and J. Feng, "Cone beam micro-CT system for small animal imaging and performance evaluation," Int. J. Biomed. Imag. 2009, 960573 (2009).
24. H. Yi, D. Chen, X. Qu, K. Peng, X. Chen, Y Zhou, J. Tian, and J. Liang, "Multilevel, hybrid regularization method for reconstruction of fluorescent molecular tomography," Appl. Opt. 51, 975-986 (2012).
25. F Gao, H. Zhao, Y Tanikawa, and Y Yamada, "A linear, featured-data scheme for image reconstruction in time-domain fluorescence molecular tomography," Opt. Express 14, 7109-7124 (2006). (Pubitemid 44188513)
26. G. Alexandrakis, F. R. Rannou, and A. F. Chatziioannou, "Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system: a computer simulation feasibility study," Phys. Med. Biol. 50, 4225-4241 (2005). (Pubitemid 41225267)
27. X. Chen, X. Gao, D. Chen, X. Ma, X. Zhao, M. Shen, X. Li, X. Qu, J. Liang, J. Ripoll, and J. Tian, "3D reconstruction of light flux distribution on arbitrary surfaces from 2D multi-photographic images," Opt. Express 18, 19876-19893 (2010).
28. S. J. Kim, K. Koh, M. Lustig, S. Boyd, and D. Gorinevsky "An interior-point method for large-scale l1-regularized least squares," IEEE J. Sel. Top. Signal Process. 1, 606-617 (2007). (Pubitemid 351266626)