对扰动的相对误差的分析 辐射传输的蒙特卡罗模拟辐射传输的模拟
Mahsa Parsanasab1,2, Carole Hayakawa1,2, Jerome Spanier1,2
1University of California, Irvine, Department of Chemical and Biomolecular Engineering, Irvine, California, United States.
Journal of biomedical optics
|June 9, 2023
概括
这项研究引入了一种新的方法,用于预测分散光学乱蒙特卡罗 (pMC) 模拟中的不确定性. 这种方法可以对广泛的光学属性进行准确的辐射传输估计,从而改善反向问题解决.
科学领域:
- 生物医学光学 生物医学光学
- 计算物理 计算物理
- 医疗成像医学成像
背景情况:
- 扰动和微分蒙特卡洛 (pMC/dMC) 方法对于解决分散光学中的反向问题至关重要.
- 准确应用pmc需要最优的基线常规蒙特卡洛 (cMC) 模拟来最大限度地减少差异.
- 预测 pMC 解决方案的不确定性增长与扰乱大小至关重要,但具有挑战性,限制了其与各种光学属性的使用.
研究的目的:
- 开发一种方法来预测pMC变异变化与扰乱大小,而无需直接计算扰乱光子重量.
- 为了确定pMC预测提供足够准确的光学属性范围.
- 为了指导选择参考cMC模拟参数以获得最佳的pMC性能.
主要方法:
- 采用传统的错误传播方法来估计pmc的相对误差.
- 将该方法应用于带有散射扰乱的空间分辨率扩散反射度测量.
- 从参考模拟中利用光子重量,路径长度和碰撞分布的方差,共变量和斜率.
主要成果:
- 拟议的方法在使用俄罗斯轮盘 (RR) 方法的参考cMC模拟中表现最好.
- 估计pMC的相对误差为5%的散射扰动[-15%+20%]与近距离探测器.
- 通过远距离探测器 (∼3运输平均自由路径) 实现了在20%以内的相对误差估计,用于分散干扰[-8%+15%].
结论:
- 使用连续吸收权重 (CAW) 和RR的参考模拟对pMC有利.
- 执行具有低 (μs'/μa) 比率的光学属性模拟可以在广泛的光学属性范围内提高pMC准确性.
- 这种方法为扩散光学成像应用提供了可靠的辐射传输估计.
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