OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 8 — Aug. 1, 2014
  • pp: 1886–1894

Fast reconstruction of fluorescence molecular tomography via a permissible region extraction strategy

Jiulou Zhang, Junwei Shi, Xu Cao, Fei Liu, Jing Bai, and Jianwen Luo  »View Author Affiliations

JOSA A, Vol. 31, Issue 8, pp. 1886-1894 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (1075 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In order to obtain precise reconstruction results in fluorescence molecular tomography (FMT), large-scale matrix equations would be solved in the inverse problem generally. Thus, much time and memory needs to be consumed. In this paper, a permissible region extraction strategy is proposed to solve this problem. First, a preliminary result is rapidly reconstructed using the weight matrix compressed by principal component analysis or uniform sampling. And then the reconstructed target area in this preliminary result is considered as the a priori permissible region to guide the final reconstruction. Phantom experiments with double fluorescent targets are performed to test the performance of the strategy. The results illustrate that the proposed strategy can significantly accelerate the image reconstruction in FMT almost without quality degradation.

© 2014 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(260.2510) Physical optics : Fluorescence

ToC Category:
Image Processing

Original Manuscript: March 11, 2014
Revised Manuscript: June 3, 2014
Manuscript Accepted: June 29, 2014
Published: July 31, 2014

Virtual Issues
Vol. 9, Iss. 10 Virtual Journal for Biomedical Optics

Jiulou Zhang, Junwei Shi, Xu Cao, Fei Liu, Jing Bai, and Jianwen Luo, "Fast reconstruction of fluorescence molecular tomography via a permissible region extraction strategy," J. Opt. Soc. Am. A 31, 1886-1894 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. Ntziachristos, “Fluorescence molecular imaging,” Annu. Rev. Biomed. Eng. 8, 1–33 (2006). [CrossRef]
  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).
  3. N. C. Deliolanis, J. Dunham, T. Wurdinger, J. L. Figueiredo, B. A. Tannous, and V. Ntziachristos, “In-vivo imaging of murine tumors using complete-angle projection fluorescence molecular tomography,” J. Biomed. Opt. 14, 030509 (2009). [CrossRef]
  4. A. D. Zacharopoulos, P. Svenmarker, J. Axelsson, M. Schweiger, S. R. Arridge, and S. Andersson-Engels, “A matrix-free algorithm for multiple wavelength fluorescence tomography,” Opt. Express 17, 3025–3035 (2009). [CrossRef]
  5. V. Lukic, V. A. Markel, and J. C. Schotland, “Optical tomography with structured illumination,” Opt. Lett. 34, 983–985 (2009). [CrossRef]
  6. N. Ducros, C. D’Andrea, G. Valentini, T. Rudge, S. Arridge, and A. Bassi, “Full-wavelet approach for fluorescence diffuse optical tomography with structured illumination,” Opt. Lett. 35, 3676–3678 (2010). [CrossRef]
  7. J. Ripoll, “Hybrid Fourier-real space method for diffuse optical tomography,” Opt. Lett. 35, 688–690 (2010). [CrossRef]
  8. N. Ducros, C. D’Andrea, A. Basis, G. Valentini, and S. Arridge, “A virtual source pattern method for fluorescence tomography with structured light,” Phys. Med. Biol. 57, 3811–3832 (2012). [CrossRef]
  9. X. Cao, X. Wang, B. Zhang, F. Liu, J. Luo, and J. Bai, “Accelerated image reconstruction in fluorescence molecular tomography using dimension reduction,” Biomed. Opt. Express 4, 1–14 (2013). [CrossRef]
  10. P. Mohajerani and V. Ntziachristos, “Compression of Born ratio for fluorescence molecular tomography/x-ray computed tomography hybrid imaging: methodology and in vivo validation,” Opt. Lett. 38, 2324–2326 (2013). [CrossRef]
  11. W. Zou, J. Wang, and D. D. Feng, “Image reconstruction of fluorescent molecular tomography based on the simplified matrix system,” J. Opt. Soc. Am. A 30, 1464–1475 (2013). [CrossRef]
  12. T. Correia, T. Rudge, M. Koch, V. Ntziachristos, and S. Arridge, “Wavelet-based data and solution compression for efficient image reconstruction in fluorescence diffuse optical tomography,” J. Biomed. Opt. 18, 086008 (2013). [CrossRef]
  13. S. T. Flock, M. S. Patterson, B. C. Wilson, and D. R. Wyman, “Monte Carlo modeling of light propagation in highly scattering tissues. I. Model predictions and comparison with diffusion theory,” IEEE Trans. Biomed. Eng. 36, 1162–1168 (1989). [CrossRef]
  14. A. D. Klose and A. H. Hielscher, “Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer,” Med. Phys. 26, 1698–1707 (1999). [CrossRef]
  15. R. C. Haskell, L. O. Svaasand, T. T. Tsay, T. C. Feng, M. S. McAdams, and B. J. Tromberg, “Boundary conditions for the diffusion equation in radiative transfer,” J. Opt. Soc. Am. A 11, 2727–2741 (1994). [CrossRef]
  16. A. Soubret, J. Ripoll, and V. Ntziachristos, “Accuracy of fluorescent tomography in the presence of heterogeneities: study of the normalized born ratio,” IEEE Trans. Med. Imaging 24, 1377–1386 (2005).
  17. J. Ripoll, V. Ntziachristos, R. Carminati, and M. Nieto-Vesperinas, “Kirchhoff approximation for diffusive waves,” Phys. Rev. E 64, 051917 (2001). [CrossRef]
  18. X. Cao, B. Zhang, F. Liu, X. Wang, and J. Bai, “Reconstruction for limited-projection fluorescence molecular tomography based on projected restarted conjugate gradient normal residual,” Opt. Lett. 36, 4515–4517 (2011). [CrossRef]
  19. J. Shi, B. Zhang, F. Liu, J. Luo, and J. Bai, “Efficient L1 regularization-based reconstruction for fluorescent molecular tomography using restarted nonlinear conjugate gradient,” Opt. Lett. 38, 3696–3699 (2013). [CrossRef]
  20. G. Zhang, X. Cao, B. Zhang, F. Liu, J. Luo, and J. Bai, “MAP estimation with structural priors for fluorescence molecular tomography,” Phys. Med. Biol. 58, 351–372 (2013). [CrossRef]
  21. A. Ale, R. B. Schulz, A. Sarantopoulos, and V. Ntziachristos, “Imaging performance of a hybrid x-ray computed tomography-fluorescence molecular tomography system using priors,” Med. Phys. 37, 1976–1986 (2010). [CrossRef]
  22. D. Calvetti, S. Morigi, L. Reichel, and F. Sgallari, “Tikhonov regularization and the L-curve for large discrete ill-posed problems,” J. Comput. Appl. Math. 123, 423–446 (2000). [CrossRef]
  23. M. Hanke and C. W. Groetsch, “Nonstationary iterated Tikhonov regularization,” J. Optim. Theory. Appl. 98, 37–53 (1998).
  24. R. Penrose, “A generalized inverse for matrices,” in Mathematical Proceedings of the Cambridge Philosophical Society (Cambridge University, 1955).
  25. D. Wang, X. Song, and J. Bai, “Adaptive-mesh-based algorithm for fluoresence molecular tomography using an analytical solution,” Opt. Express 15, 9722–9730 (2007). [CrossRef]
  26. X. Song, B. W. Pogue, S. Jiang, M. M. Doyley, H. Dehghani, T. D. Tosteson, and K. D. Paulsen, “Automated region detection based on the contrast-to-noise ratio in near-infrared tomography,” Appl. Opt. 43, 1053–1062 (2004). [CrossRef]
  27. F. Liu, X. Wang, D. Wang, B. Zhang, and J. Bai, “A parallel excitation based fluorescence molecular tomography system for whole-body simultaneous imaging of small animals,” Ann. Biomed. Eng. 38, 3440–3448 (2010). [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