中国激光, 2010, 37 (11): 2743, 网络出版: 2010-11-16  

基于二维圆域解析模型的时域扩散荧光层析原理与实验研究

An Methodological and Experimental Investigation on Time-Domain Diffuse Fluorescence Tomography of Analytic Based on Two-Dimensional Circular Scheme
作者单位
天津大学精密仪器与光电子工程学院, 天津 300072
摘要
提出了基于二维圆域解析模型的时域扩散荧光层析图像重建算法。采用了外推边界条件下二维圆域结构的扩散方程解析解, 利用基于耦合扩散方程拉氏变换的广义脉冲谱技术和基于玻恩比的归一化逆问题模型, 实现圆柱层析模式下的图像重建。为了解决线性求逆过程中的病态问题, 采用了代数重建技术进行相应的线性求逆。并通过引入一对实数拉氏变换因子, 实现荧光产率和寿命的同时重建。利用多通道的时间相关单光子计数系统对实验仿体进行了圆柱层析式时间分辨的数据测量, 实验结果表明, 提出的重建算法对于目标体的位置和形状都进行了较准确的重建, 从而验证了该重建算法的可靠性及可行性。
Abstract
An image reconstruction method for time-domain fluorescence diffuse optical tomography is proposed using a two-dimensional (2D) turbid medium of circular domain. The methodology based on a linear generalized pulse spectrum technique, employs analytic expressions of the Laplace-transformed time-domain photon-diffusion model to construct a Born normalized inverse model. The resultant linear inversions introducing a pair of real domain transform-factors are solved with an algebraic reconstruction technique to separate distributions of the fluorescent yield and lifetime. The effectiveness and feasibility of the proposed scheme have been validated by experiment using multi-channel time-correlated single-photon-counting system. The results show that the approach retrieves the position and shape of the targets with a reasonable accuracy.
参考文献

[1] . Gao, J. Li, L. M. Zhang et al.. Simultaneous fluorescence yield-and lifetime-tomography from time-resolved transmittances of a small-animal-stimulating phantom[J]. Appl. Opt., 2010, 49(16): 3163-3172.

[2] 张丽敏, 高峰, 李娇 等. 基于透射和反射时间分辨测量数据的荧光参数三维重建[J]. 中国激光, 2009, 36(10): 2552~2556

    Zhang Limin, Gao Feng, Li Jiao et al.. Reconstructing three-dimensional fluorescent parameters using time-resolved data based on transmittance and reflection measurements[J]. Chinese J. Lasers, 2009, 36(10): 2552~2556

[3] 杨芳, 阮平巧, 高峰 等. 一种基于共轭梯度最优化技术的三维时域扩散光学层析方法[J]. 中国激光, 2009, 36(10): 2517~2523

    Yang Fang, Ruan Pingqiao, Gao Feng et al.. Conjugate-gradient-based optimization for three-dimensional time-domain diffuse optical tomography[J]. Chinese J. Lasers, 2009, 36(10): 2517~2523

[4] 王纬超, 刘宇嘉, Tobias Braeuler 等. 频域光学相干层析成像及其在眼科中的应用[J]. 中国激光, 2009, 36(s1): 181~184

    Wang Weichao, Liu Yujia, Tobias Braeuler et al.. Frequency-domain optical coherent tomograph and the application in ophthalmology[J]. Chinese J. Lasers, 2009, 36(s1): 181~184

[5] . Y. Soloviev, K. B. Tahir, J. McGinty et al.. Fluorescence lifetime imaging by using time-gated data acquisition[J]. Appl. Opt., 2007, 46(30): 7384-7391.

[6] F. Gao, H. J. Zhao, Y. Yamada et al.. Time-resolved diffuse optical tomography using a modified generalized pulse spectrum technique [J]. IEICE Transactions on Information and Systems, 2002, E85-D(1): 133~142

[7] B. Han, M. L. Zhang, J.Q. Liu. A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations[J]. Appl. Mathematics and Computation, 1997, 81(2-3): 97~112

[8] . Gao, H. J. Zhao, Y. Yamada. A linear, featured-data scheme for image reconstruction in time-domain fluorescence molecular tomography[J]. Opt. Express, 2006, 14(16): 7109-7124.

[9] . D. Andrea, L. Spinelli, D. Comelli et al.. Localization and quantification of fluorescent inclusions embedded in a turbid medium[J]. Phys. Med. Biol., 2005, 50(10): 2313-2327.

[10] . Ntziachristos, R. Weissleder. Experimental three-dimensional fluorescence reconstruction of diffuse media by use of a normalized born approximation[J]. Opt. Lett., 2001, 26(12): 893-895.

[11] 高峰, 牛憨笨, 张焕文. 超短激光脉冲作用下生物组织体光学响应的时域和频域分析-Dirichlet边界条件和无向点激励源[J]. 光子学报, 1997, 26(10): 865~876

    Gao Feng, Niu Hanben, Zhang Huanwen. A temporal and frequency domain analysis of the optical responses in tissue acted by ultra-short laser pulse-Dirichlet boundary condition and isotropic point source [J]. Acta Phototnica Sinica, 1997, 26(10): 865~876

[12] 王竹溪, 郭敦仁. 特殊函数概论[M]. 北京: 科学出版社, 1979

    Z. X. Wang, D. R. Guo. The Generality of Special Function [M]. Beijing: Science Press, 1979

[13] G.T.赫尔曼. 由投影重建图像CT的理论基础 [M].北京: 科学出版社, 1985

    G. T. Herman. Image Reconstruction From Projections: The Fundamentals of Computerized Tomography [M].Beijing: Science Press, 1985

[14] . T. Kumar, J. S. Skoch, B. J. Bacskai et al.. Fluorescent-lifetime-based tomography for turbid media[J]. Opt. Lett., 2005, 30(24): 3347-3349.

[15] W. Becker, 屈军乐, 高峰. 高级时间相关单光子计数技术[M]. 北京: 科学出版社, 2009

    W. Becker, Qu Junle, Gao Feng. Advanced Time-Correlated Single Photon Counting Techniques [M]. Beijing: Science Press, 2009

[16] . 基于时间分辨反射测量的混浊介质光学参数计算方法[J]. 天津大学学报, 2008, 41(6): 757-761.

    Gao Feng, He Huiyuan, Ma Zheng. Method for determining optical properties of turbid media based on time-resolved reflection measurement [J]. J. Tianjin University, 43(6): 757~761

李娇, 高峰, 易茜, 张丽敏, 赵会娟. 基于二维圆域解析模型的时域扩散荧光层析原理与实验研究[J]. 中国激光, 2010, 37(11): 2743. Li Jiao, Gao Feng, Yi Xi, Zhang Limin, Zhao Huijuan. An Methodological and Experimental Investigation on Time-Domain Diffuse Fluorescence Tomography of Analytic Based on Two-Dimensional Circular Scheme[J]. Chinese Journal of Lasers, 2010, 37(11): 2743.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!