Study of four regularization methods for the inverse problem in bioluminescence tomography

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 7262, Issue , 2009, Pages

  He, Xiaowei ^a,b   Tian, Jie ^a,c   Wu, Yan ^a   Hou, Yanbin ^a   Ren, Nunu ^a   Penga, Kuan ^a  

^a XIDIAN UNIVERSITY   (China)

^b NORTHWEST UNIVERSITY   (China)

^c INSTITUTE OF AUTOMATION   (China)

Author keywords

Bioluminescence tomography; CGLS, LSQR; Molecular imaging; Tikhonov regularization; TSVD; TTLS

Indexed keywords

BIOLUMINESCENCE TOMOGRAPHY; CGLS, LSQR; MOLECULAR IMAGING; TIKHONOV REGULARIZATION; TSVD; TTLS;

ANIMALS; BIOLUMINESCENCE; CONJUGATE GRADIENT METHOD; CURVE FITTING; DYNAMIC LOADS; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; LIGHT EMISSION; MEDICAL IMAGING; NUMERICAL METHODS; PARAMETER ESTIMATION; PHOSPHORESCENCE; RESTORATION; SINGULAR VALUE DECOMPOSITION; TOMOGRAPHY;

ITERATIVE METHODS;

EID: 67249147458     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.811522     Document Type: Conference Paper

References (23)

1. Ntziachristos, V., Ripoll, J., Wang, L. V., and Weissleder, R., "Looking and listening to light: the evolution of whole body photonic imaging," Nat. Biotech., 23, 313-320(2005). (Pubitemid 41094419)
2. Contag, C. and Bachmann, M. H. "Advances in in vivo bioluminescence imaging of gene expression," Annu. Rev. Biomed. Eng., 4, 235-260(2002). (Pubitemid 35217421)
3. Tian, J., Bai, J., Yan, X., Bao, S., Li, Y., Liang, W., And Yang, X., "Multimodality molecular imaging", IEEE EMB Magazine, 27, 48-57(2008).
4. Cong, W., Wang, G., Kumar, D., Liu, Y., Jiang, M., Wang, L. V., Hoffman, E. A., McLennan, G., McCray, P. B., Zabner, J., and Cong, A., "Practical reconstruction method for bioluminescence tomography," Opt. Express, 13, 6756-6771(2005). (Pubitemid 41305547)
5. Engl, H. W., Hanke, M., and Neubauer, A., [Regularization of inverse problems], Springer, Berlin & New York, 3- 25(1996).
6. Gu, X., Zhang, Q., Larcom, L., and Jiang, H., "Three-dimensional bioluminescence tomography with model-based reconstruction," Opt. Express, 12, 3996-4000(2004).
7. Cong, W., Kumar, D., Li, Y., Cong, A., and Wang, G., "A practical method to determine the light source distribution in bioluminescent imaging," Proc. SPIE 5535, 679-686 (2004). (Pubitemid 40422556)
8. Lv, Y., Tian, J., Cong, W., Wang, G., Luo, J., Yang, W., and Li, H., "A multilevel adaptive finite element algorithm for bioluminescence tomography," Opt. Express, 14, 8211-8223(2006). (Pubitemid 44331037)
9. Jiang, M., Zhou, T., Cheng, J., Cheng, J., Cong, W. and Wang, G., "Image reconstruction for bioluminescence tomography from partial measurement," Opt. Express, 15, 11095-11116(2007). (Pubitemid 47360544)
10. Jiang, M., and Wang, G., "Image reconstruction for bioluminescence tomography," Proc. SPIE 5535, 335-351(2004). (Pubitemid 40422521)
11. Cong, A., and Wang, G. "Multispectral bioluminescence tomography: methodology and simulation," Int. J. Biomed. Imaging, 2006, 1-7(2006).
12. Lv, Y., Tian, J., Yang, W., Qin. C., Cong, W., Wang, G., "A multi-scale method for bioluminescence tomography using multiple types of a priori information," Proc. ISBI, 816-819(2007). (Pubitemid 350141214)
13. Schweiger, M., Arridge, S. R., Hiraoka, M., and Delpy, D.T., "The finite element method for the propagation of light in scattering media: Boundary and source conditions, " Med. Phys., 22, 1779-1792(1995).
14. Arridge, S. R., Schweiger, M., Hiraoka, M., and Delpy, D. T., "A finite element approach for modeling photon transport in tissue" Med. Phys., 20, 299-309(1993). (Pubitemid 23136192)
15. Rice, B. W., Cable, M. D., and Nelson, M. B., "In vivo imaging of light-emitting probes," J. Biomed. Opt., 6, 432- 440(2001). (Pubitemid 34220962)
16. Wang, G., Li, Y., and Jiang, M., "Uniqueness theorems in bioluminescence tomography," Med. Phys., 31, 2289- 2299(2004). (Pubitemid 39079722)
17. Hansen, P. C., "Truncated SVD solutions to discrete ill-posed problems" BIT Num. Math., 30, 658-672(1990).
18. Fierro, R. D., "Regularization by truncated total least squares," SIAM J. Sci. Comput., 18, 1223-1241(1997). (Pubitemid 127651315)
19. Ylinen, M., Burian, A., Takala, J., "Direct versus iterative methods for fixed-point implementation of matrix inversion," Proc. ISCS, 3, 225-228(2004).
20. Bazán, F. S. V., "CGLS-GCV: a hybrid algorithm for low-rank-deficient problems," App. Num. Math., 47, 91- 108(2003).
21. Paige, C. C., Saunders, M.A., "LSQR: an algorithm for sparse linear equations and sparse least squares," ACM Trans. on Math. Soft., 8, 43-71(1982).
22. Benbow, S. J., "Solving generalized least-squares problems with LSQR," SIAM J. Matrix Anal. Appl., 21, 166- 177(1999).
23. Colton, D. L., and Kress, R., [Inverse acoustic and elctromagnetic scattering theory], Springer, Berlin & New York, 2nd, 133(1998).