## Region-based reconstruction method for fluorescent molecular tomography

JOSA A, Vol. 27, Issue 10, pp. 2327-2336 (2010)

http://dx.doi.org/10.1364/JOSAA.27.002327

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### Abstract

A common difficulty for the traditional methods of fluorescent molecular tomographic (FMT) reconstruction is that only a small amount of measurements can be used to recover the image comprised of a large number of pixels. This difficulty not only leads to expensive computational cost but also likely results in an unstable solution prone to be affected by the noise in the measurement data. In this paper, we propose a region-based method for reducing the unknowns, where the target areas are determined by searching for the nearest neighbor nodes. In this method, the Hessian matrix of the second-order derivatives is incorporated to speed up the optimization process. An iteration strategy of multi-wavelength measurement is introduced to further improve the accuracy of inverse solutions. Simulation results demonstrate that the proposed approach can significantly speed up the reconstruction process and improve the image quality of FMT.

© 2010 Optical Society of America

**OCIS Codes**

(100.3190) Image processing : Inverse problems

(170.3010) Medical optics and biotechnology : Image reconstruction techniques

(170.3880) Medical optics and biotechnology : Medical and biological imaging

(170.6960) Medical optics and biotechnology : Tomography

(260.2510) Physical optics : Fluorescence

**ToC Category:**

Medical Optics and Biotechnology

**History**

Original Manuscript: June 18, 2010

Revised Manuscript: August 23, 2010

Manuscript Accepted: August 24, 2010

Published: September 29, 2010

**Virtual Issues**

Vol. 5, Iss. 14 *Virtual Journal for Biomedical Optics*

**Citation**

Wei Zou, Jiajun Wang, and David Dagan Feng, "Region-based reconstruction method for fluorescent molecular tomography," J. Opt. Soc. Am. A **27**, 2327-2336 (2010)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-27-10-2327

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### References

- C. Balas, “Review of biomedical optical imaging—a powerful, non-invasive, non-ionizing technology for improving in vivo diagnosis,” Meas. Sci. Technol. 20, 1–12 (2009). [CrossRef]
- C. T. Xu, J. Axelsson, and S. Andersson-Engels, “Fluorescence diffuse optical tomography using upconverting nanoparticles,” Appl. Phys. Lett. 94, 251107–251107-3 (2009). [CrossRef]
- R. B. Schulz, A. Ale, A. Sarantopoulos, M. Freyer, E. Soehngen, M. Zientkowska, and V. Ntziachristos, “Hybrid system for simultaneous fluorescence and x-ray computed tomography,” IEEE Trans. Med. Imaging 29, 465–473 (2010). [CrossRef]
- V. Ntziachristos, “Fluorescence molecular imaging,” Annu. Rev. Biomed. Eng. 8, 1–33 (2006). [CrossRef] [PubMed]
- A. B. Milstein, K. J. Webb, and C. A. Bouman, “Estimation of kinetic model parameters in fluorescence optical diffusion tomography,” J. Opt. Soc. Am. A 22, 1357–1368 (2005). [CrossRef]
- 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, 7109–9124 (2006). [CrossRef] [PubMed]
- R. Roy, A. B. Thompson, A. Godavarty, and E. M. Sevick-Muraca, “Tomographic fluorescence imaging in tissue phantoms: a novel reconstruction algorithm and imaging geometry,” IEEE Trans. Med. Imaging 24, 137–154 (2005). [CrossRef] [PubMed]
- 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). [CrossRef] [PubMed]
- Y. Zhai and S. A. Cummer, “Fast tomographic reconstruction strategy for diffuse optical tomography,” Opt. Express 17, 5285–5297 (2009). [CrossRef] [PubMed]
- M. E. Kilmer, E. L. Miller, D. A. Boas, D. H. Brooks, C. A. DiMarzio, and R. J. Gaudette, “Direct object localization and characterization from diffuse photon density wave data,”Proc SPIE 3597, 45–54 (1999). [CrossRef]
- V. Kolehmainen, S. R. Arridge, W. R. B. Lionheart, M. Vauhkonen, and J. P. Kaipio, “Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data,” Inverse Probl. 15, 1375–1391 (1999). [CrossRef]
- A. D. Klose, V. Ntziachristos, and A. H. Hielscher, “The inverse source problem based on the radiative transfer equation in optical molecular imaging,” J. Comput. Phys. 202, 323–345 (2005). [CrossRef]
- H. K. Kim and A. Charette, “A sensitivity function-based conjugate gradient method for optical tomography with the frequency-domain equation of radiative transfer,” J. Quant. Spectrosc. Radiat. Transf. 104, 24–39 (2007). [CrossRef]
- T. Tarvainen, M. Vauhkonen, and S. R. Arridge, “Gauss-Newton reconstruction method for optical tomography using the finite element solution of the radiative transfer equation,” J. Quant. Spectrosc. Radiat. Transf. 109, 2767–2778 (2008). [CrossRef]
- F. Fedele, M. J. Eppstein, J. P. Laible, A. Godavarty, and E. M. Sevick-Muraca, “Fluorescence photon migration by the boundary element method,” J. Comput. Phys. 210, 1–24 (2005). [CrossRef]
- 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]
- S. R. Arridge, H. Dehghani, M. Schweiger, and E. Okada, “The finite element model of the propagation of light in scattering media: A direct method for domains with nonscattering regions,” Med. Phys. 27, 252–264 (2000). [CrossRef] [PubMed]
- 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]
- S. R. Arridge and J. C. Schotland, “Optical tomography: forward and inverse problems,” Inverse Probl. 25, 1–59 (2009). [CrossRef]
- A. D. Klose and A. H. Hielscher, “Quasi-Newton methods in optical tomographic image reconstruction,” Inverse Probl. 19, 387–409 (2003). [CrossRef]
- A. Adler, T. Dai, and W. R. B. Lionheart, “Temporal image reconstruction in electrical impedance tomography,” Physiol. Meas 28, S1–S11 (2007). [CrossRef] [PubMed]
- J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, Wiley Series in Probability and Statistics (Wiley, 1988).
- R. Roy, A. Godavarty, and E. M. Sevick-Muraca, “Fluorescence-enhanced optical tomography using referenced measurements of heterogeneous media,” IEEE Trans. Med. Imaging 22, 824–836 (2003). [CrossRef] [PubMed]
- A. Y. Bluestone, M. Stewart, J. Lasker, G. S. Abdoulaev, A. H. Hielscher, “Three-dimensional optical tomographic brain imaging in small animals, part 1: hypercapnia,” J. Biomed. Opt. 9, 1046–1062 (2004). [CrossRef] [PubMed]
- S. Walrand, F. Jamar, and S. Pauwels, “Improved solution for ill-posed linear systems using a constrained optimization ruled by a penalty: evaluation in nuclear medicine tomography,” Inverse Probl. 25, 1–17 (2009). [CrossRef]
- C. Panagiotou, S. Somayajula, A. P. Gibson, M. Schweiger, R. M. Leahy, and S. R. Arridge, “Information theoretic regularization in diffuse optical tomography,” J. Opt. Soc. Am. A 26, 1277–1290 (2009). [CrossRef]
- A. Joshi, W. Bangerth, and E. M. Sevick-Muraca, “Adaptive finite element based tomography for fluorescence optical imaging in tissue,” Opt. Express 12, 5402–5417 (2004). [CrossRef] [PubMed]

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