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逆模型归一化表示形式,提出了无限平板透射模式下的时域扩散荧光层析图像重建方法.该方法采用外推边界条件下无限平板结构扩散方程的解析解,通过引入一对实拉氏变换因子及相应的两次线性求逆,可实现荧光产率和寿命的同时重建.将提出的算法进行了数值模拟验证,在空间分辨率、噪声鲁棒性等方面进行了评估通过实验验证获得的荧光参数空间分布较准确的重建结果证明了此重建算法的有效性和可行性.
An image reconstruction scheme for time-domain fluorescence diffuse optical tomography in transmission mode of a slab turbid geometry has been proposed based on generalized pulse spectrum technique that employs analytic expressions of the Laplace-transformed time-domain photon-diffusion model to construct the Born normalized inverse model. A pair of real domain transform-factors and two linear inverses have been adopted, and analytic solution to the diffuse equation of a slab turbid geometry in extroplation boundary conditions has been utilized to achieve reconstruction of both the fluorescent yield and lifetime. Numerical simulation has been conducted to validate the algorithm, and its spatial resolution and noise-robustness have been evaluated. Reconstruction results with accurate spatial distribution of fluorescent factors obtained in experiments have verified effectiveness and feasibility of the algorithm proposed.