OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 24 — Nov. 23, 2009
  • pp: 21925–21934

Adaptive improved element free Galerkin method for quasi- or multi-spectral bioluminescence tomography

Chenghu Qin, Xin Yang, Jinchao Feng, Kai Liu, Junting Liu, Guorui Yan, Shouping Zhu, Min Xu, and Jie Tian  »View Author Affiliations

Optics Express, Vol. 17, Issue 24, pp. 21925-21934 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (2126 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Bioluminescence tomography (BLT) has become a powerful tool for whole-body small animal imaging. In this contribution, an adaptive improved element free Galerkin method (IEFGM) is presented to perform a quantitative reconstruction of the internal light source using quasi- or multi-spectral information, which not only can avoid the time-consuming mesh generation but also can reduce the ill-posedness of BLT effectively. In the algorithm, the reconstruction can be largely enhanced by an adaptive technology based on a posteriori error estimation. Finally, the numerical and physical phantom experiment results show that the bioluminescent source can be recovered accurately.

© 2009 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.6280) Medical optics and biotechnology : Spectroscopy, fluorescence and luminescence
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: September 10, 2009
Revised Manuscript: October 29, 2009
Manuscript Accepted: November 6, 2009
Published: November 16, 2009

Virtual Issues
Vol. 4, Iss. 13 Virtual Journal for Biomedical Optics

Chenghu Qin, Jie Tian, Xin Yang, Jinchao Feng, Kai Liu, Junting Liu, Guorui Yan, Shouping Zhu, and Min Xu, "Adaptive improved element free Galerkin method for quasi- or multi-spectral bioluminescence tomography," Opt. Express 17, 21925-21934 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. Ntziachristos, J. Ripoll, L. V. Wang, and R. Weisslder, "Looking and listening to light: the evolution of whole body photonic imaging," Nat. Biotechnol. 23,313-320 (2005). [CrossRef] [PubMed]
  2. J. Tian, J. Bai, X. P. Yan, S. Bao, Y. Li, W. Liang, and X. Yang, "Multimodality molecular imaging," IEEE Eng. Med. Biol. Mag. 27,48-57 (2008). [PubMed]
  3. A. P. Gibson, J. C. Hebden, and S. R. Arridge, "Recent advances in diffuse optical imaging," Phys. Med. Biol. 50,R1-R43 (2005). [CrossRef] [PubMed]
  4. G. Wang, Y. Li, and M. Jiang, "Uniqueness theorems in bioluminescence tomography," Med. Phys. 31,2289-2299 (2004). [CrossRef] [PubMed]
  5. 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. Express 13,6756-6771 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-18-6756. [CrossRef] [PubMed]
  6. 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. Express 16,15640-15654 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-20-15640. [CrossRef] [PubMed]
  7. H. Dehghani, S. C. Davis, S. Jiang, B. W. Pogue, K. D. Paulsen, and M. S. Patterson, "Spectrally resolved bioluminescence optical tomography," Opt. Lett. 31,365-367 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=OL-31-3-365. [CrossRef] [PubMed]
  8. 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. 52,4497-4512 (2007). [CrossRef] [PubMed]
  9. 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. 50,5421-5441 (2005). [CrossRef] [PubMed]
  10. 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. Express 14,8211-8223 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8211. [CrossRef] [PubMed]
  11. H. Zhao, T. C. Doyle, O. Coquoz, F. Kalish, B. W. Rice, and C. H. Contag, "Emission spectra of bioluminescent reporters and interaction with mammalian tissue determine the sensitivity of detection in vivo," J. Biomed. Opt. 10,041210 (2005). [CrossRef]
  12. G. Wang, H. Shen, Y. Liu, A. Cong, W. Cong, Y. Wang, and P. Dubey, "Digital spectral separation methods and systems for bioluminescence imaging," Opt. Express 16,1719-1732 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-3-1719. [CrossRef] [PubMed]
  13. W. M. Han and G. Wang, "Theoretical and numerical analysis on multispectral bioluminescence tomography," IMA J. Appl. Math. 72,1-19 (2006). [CrossRef]
  14. C. Qin, J. Tian, X. Yang, K. Liu, G. Yan, J. Feng, Y. Lv, and M. Xu, "Galerkin-based meshless methods for photon transport in the biological tissue," Opt. Express 16,20317-20333 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-25-20317. [CrossRef] [PubMed]
  15. J. Dolbow and T. Belytschko, "An introduction to programming the meshless element free Galerkin method," Arch. Comput. Methods Eng. 5,207-241 (1998). [CrossRef]
  16. X. Zhang and Y. Liu, Meshless methods (Tsinghua University Press, Beijing, 2004).
  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). [CrossRef] [PubMed]
  18. P. R. Johnston and R. M. Gulrajani, "Selecting the corner in the L-curve approach to Tikhonov regularization," IEEE T.Bio-Med. Eng. 47,1293-1296 (2000). [CrossRef]
  19. P. E. Gill, W. Murray, and M. Wright, Practical optimization (Academic Press, New York, 1981).
  20. C. Qin, J. Tian, Y. Lv, and W. Yang, "Three-dimensional bioluminescent source reconstruction method based on nodes of adaptive FEM," Proc. SPIE 6916,69161K (2008). [CrossRef]
  21. 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). [CrossRef] [PubMed]
  22. D. Qin, H. Zhao, Y. Tanikawa, and F. Gao, "Experimental determination of optical properties in turbid medium by TCSPC technique," Proc. SPIE 6434,64342E (2007). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited