Roy R, Sevick-Muraca E
Opt Express. 1999 May 10;4(10):353-71. doi: 10.1364/oe.4.000353.
The development of non-invasive, biomedical optical imaging from time-dependent measurements of near-infrared (NIR) light propagation in tissues depends upon two crucial advances: (i) the instrumental tools to enable photon "time-of-flight" measurement within rapid and clinically realistic times, and (ii) the computational tools enabling the reconstruction of interior tissue optical property maps from exterior measurements of photon "time-of-flight" or photon migration. In this contribution, the image reconstruction algorithm is formulated as an optimization problem in which an interior map of tissue optical properties of absorption and fluorescence lifetime is reconstructed from synthetically generated exterior measurements of frequency-domain photon migration (FDPM). The inverse solution is accomplished using a truncated Newtons method with trust region to match synthetic fluorescence FDPM measurements with that predicted by the finite element prediction. The computational overhead and error associated with computing the gradient numerically is minimized upon using modified techniques of reverse automatic differentiation.
基于组织中近红外（NIR）光传播的时间相关测量的非侵入性生物医学光学成像技术的发展依赖于两项关键进展：（i）能够在快速且符合临床实际的时间内实现光子“飞行时间”测量的仪器工具；（ii）能够根据光子“飞行时间”或光子迁移的外部测量结果重建内部组织光学特性图谱的计算工具。在本论文中，图像重建算法被表述为一个优化问题，其中从频域光子迁移（FDPM）的合成外部测量结果重建吸收和荧光寿命的组织光学特性内部图谱。通过使用带信赖域的截断牛顿法来实现逆解，以使合成荧光FDPM测量结果与有限元预测所预测的结果相匹配。在使用改进的反向自动微分技术时，与数值计算梯度相关的计算开销和误差被最小化。
