A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration

Song, Xiaolei; Xiong, Xiaoyun; Bai, Jing

doi:https://doi.org/10.1155/2007/23219

International Journal of Biomedical Imaging

On this page

Abstract References Copyright Related Articles

Special Issue

Recent Advances in Molecular Imaging

View this Special Issue

Research Article | Open Access

Volume 2007 | Article ID 023219 | https://doi.org/10.1155/2007/23219

A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration

Xiaolei Song,¹Xiaoyun Xiong,²and Jing Bai¹

Academic Editor: Jie Tian

Received12 Oct 2006

Accepted12 Feb 2007

Published23 Apr 2007

Abstract

Fluorescence optical diffusion tomography in the near-infrared (NIR) bandwidth is considered to be one of the most promising ways for noninvasive molecular-based imaging. Many reconstructive approaches to it utilize iterative methods for data inversion. However, they are time-consuming and they are far from meeting the real-time imaging demands. In this work, a fast preiteration algorithm based on the generalized inverse matrix is proposed. This method needs only one step of matrix-vector multiplication online, by pushing the iteration process to be executed offline. In the preiteration process, the second-order iterative format is employed to exponentially accelerate the convergence. Simulations based on an analytical diffusion model show that the distribution of fluorescent yield can be well estimated by this algorithm and the reconstructed speed is remarkably increased.

References

U. Mahmood, C.-H. Tung, A. Bogdanov Jr., and R. Weissleder, “Near-infrared optical imaging of protease activity for tumor detection,” Radiology, vol. 213, no. 3, pp. 866–870, 1999.
View at: Google Scholar
V. Ntziachristos, C.-H. Tung, C. Bremer, and R. Weissleder, “Fluorescence molecular tomography resolves protease activity in vivo,” Nature Medicine, vol. 8, no. 7, pp. 757–760, 2002.
View at: Publisher Site | Google Scholar
R. Weissleder, C.-H. Tung, U. Mahmood, and A. Bogdanov Jr., “In vivo imaging of tumors with protease-activated near-infrared fluorescent probes,” Nature Biotechnology, vol. 17, no. 4, pp. 375–378, 1999.
View at: Publisher Site | Google Scholar
V. Ntziachristos, J. Ripoll, and R. Weissleder, “Would near-infrared fluorescence signals propagate through large human organs for clinical studies?” Optics Letters, vol. 27, no. 5, pp. 333–335, 2002.
View at: Google Scholar
J. Ripoll, M. Nieto-Vesperinas, R. Weissleder, and V. Ntziachristos, “Fast analytical approximation for arbitrary geometries in diffuse optical tomography,” Optics Letters, vol. 27, no. 7, pp. 527–529, 2002.
View at: Google Scholar
D. Y. Paithankar, A. U. Chen, B. W. Pogue, M. S. Patterson, and E. M. Sevick-Muraca, “Imaging of fluorescent yield and lifetime from multiply scattered light reemitted from random media,” Applied Optics, vol. 36, no. 10, pp. 2260–2272, 1997.
View at: Google Scholar
H. Jiang, “Frequency-domain fluorescent diffusion tomography: a finite-element-based algorithm and simulations,” Applied Optics, vol. 37, no. 22, pp. 5337–5343, 1998.
View at: Google Scholar
M. J. Eppstein, D. J. Hawrysz, A. Godavarty, and E. M. Sevick-Muraca, “Three-dimensional, Bayesian image reconstruction from sparse and noisy data sets: near-infrared fluorescence tomography,” Proceedings of the National Academy of Sciences of the United States of America, vol. 99, no. 15, pp. 9619–9624, 2002.
View at: Publisher Site | Google Scholar
A. B. Milstein, S. Oh, K. J. Webb et al., “Fluorescence optical diffusion tomography,” Applied Optics, vol. 42, no. 16, pp. 3081–3094, 2003.
View at: Google Scholar
A. X. Cong and G. Wang, “A finite-element-based reconstruction method for 3D fluorescence tomography,” Optics Express, vol. 13, no. 24, pp. 9847–9857, 2005.
View at: Publisher Site | Google Scholar
M. A. O'Leary, D. A. Boas, X. D. Li, B. Chance, and A. G. Yodh, “Fluorescence lifetime imaging in turbid media,” Optics Letters, vol. 21, no. 2, pp. 158–160, 1996.
View at: Google Scholar
X. D. Li, M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Fluorescent diffuse photon density waves in homogeneous and heterogeneous turbid media: analytic solutions and applications,” Applied Optics, vol. 35, no. 19, pp. 3746–3758, 1996.
View at: Google Scholar
V. Ntziachristos and R. Weissleder, “Experimental three-dimensional fluorescence reconstruction of diffuse media by use of a normalized Born approximation,” Optics Letters, vol. 26, no. 12, pp. 893–895, 2001.
View at: Google Scholar
Y. P. Cheng, K. Y. Zhang, and Z. Xu, Matrix Theory, Northwestern Polytechnic University Press, Xi'an, China, 2nd edition, 2000.
H. Wang, C. Wang, and W. Yin, “A pre-iteration method for the inverse problem in electrical impedance tomography,” IEEE Transactions on Instrumentation and Measurement, vol. 53, no. 4, pp. 1093–1096, 2004.
View at: Publisher Site | Google Scholar
W. Q. Yang, D. M. Spink, T. A. York, and H. McCann, “An image-reconstruction algorithm based on Landweber's iteration method for electrical-capacitance tomography,” Measurement Science and Technology, vol. 10, no. 11, pp. 1065–1069, 1999.
View at: Publisher Site | Google Scholar

Copyright

Copyright © 2007 Xiaolei Song et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PDF Download Citation Order printed copies

Views

329

Downloads

850

Citations