High-performance fluorescence molecular tomography through shape-based reconstruction using spherical harmonics parameterization.

High-performance fluorescence molecular tomography through shape-based reconstruction using spherical harmonics parameterization.
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通过球谐函数参数化基于形状的重建实现高性能荧光分子断层扫描

DOI:
10.1371/journal.pone.0094317
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Li D
Li D
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Wang D;He J;Qiao H;Song X;Fan Y;Li D

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近红外区域的荧光分子层析成像正在成为绘制活体小动物荧光色素三维定量分布的一种强有力的方式。然而,荧光分子层析成像的更广泛应用仍然需要更精确和稳定的重建工具。我们提出了一种基于形状的重建方法,该方法使用球面谐波参数化,其中假设荧光团在不相交的子域和剩余背景内作为分段常数分布。然后将反问题表示为关于形状参数的约束非线性最小二乘问题,由于显着减少了未知量,因此减少了不适定性。由于不同的形状参数对边界测量的贡献不同,引入了一种改进的两步块坐标下降优化算法来稳定重建。我们首先用数值模拟来评估我们的方法在不同条件下的噪声水平和荧光背景;与传统的基于体素的方法相比,该方法在空间分辨率、形态和强度方面的重建精度以及对初始估计分布的鲁棒性方面具有显著优势。在我们的幻像实验中,我们的方法再次显示出更好的空间分辨率和更精确的强度重建。最后,通过体内实验证明了该方法对小鼠成像的适用性。
Fluorescence molecular tomography in the near-infrared region is becoming a powerful modality for mapping the three-dimensional quantitative distributions of fluorochromes in live small animals. However, wider application of fluorescence molecular tomography still requires more accurate and stable reconstruction tools. We propose a shape-based reconstruction method that uses spherical harmonics parameterization, where fluorophores are assumed to be distributed as piecewise constants inside disjointed subdomains and the remaining background. The inverse problem is then formulated as a constrained nonlinear least-squares problem with respect to shape parameters, which decreases ill-posedness because of the significantly reduced number of unknowns. Since different shape parameters contribute differently to the boundary measurements, a two-step and modified block coordinate descent optimization algorithm is introduced to stabilize the reconstruction. We first evaluated our method using numerical simulations under various conditions for the noise level and fluorescent background; it showed significant superiority over conventional voxel-based methods in terms of the spatial resolution, reconstruction accuracy with regard to the morphology and intensity, and robustness against the initial estimated distribution. In our phantom experiment, our method again showed better spatial resolution and more accurate intensity reconstruction. Finally, the results of an in vivo experiment demonstrated its applicability to the imaging of mice.
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