Alqasemi Umar, Salehi Hassan S, Zhu Quing
J Opt Soc Am A Opt Image Sci Vis. 2016 Feb 1;33(2):205-13. doi: 10.1364/JOSAA.33.000205.
This paper reports a method of estimating an approximate closed-form solution to the light diffusion equation for any type of geometry involving Dirichlet's boundary condition with known source location. It is based on estimating the optimum locations of multiple imaginary point sources to cancel the fluence at the extrapolated boundary by constrained optimization using a genetic algorithm. The mathematical derivation of the problem to approach the optimum solution for the direct-current type of diffuse optical systems is described in detail. Our method is first applied to slab geometry and compared with a truncated series solution. After that, it is applied to hemispherical geometry and compared with Monte Carlo simulation results. The method provides a fast and sufficiently accurate fluence distribution for optical reconstruction.
本文报道了一种针对涉及具有已知源位置的狄利克雷边界条件的任何几何类型，估计光扩散方程近似闭式解的方法。它基于通过使用遗传算法的约束优化来估计多个虚点源的最佳位置，以消除外推边界处的注量。详细描述了直流型漫射光学系统逼近最优解问题的数学推导。我们的方法首先应用于平板几何结构，并与截断级数解进行比较。之后，将其应用于半球形几何结构，并与蒙特卡罗模拟结果进行比较。该方法为光学重建提供了快速且足够准确的注量分布。
