随机高斯 - 牛顿法用于估计光学断层扫描中的吸收和散射,使用蒙特卡洛法用于光传输
Jonna Kangasniemi1, Meghdoot Mozumder1, Aki Pulkkinen1
1University of Eastern Finland, Department of Technical Physics, P.O. Box 1627, 70211 Kuopio, Finland.
Biomedical optics express
|September 30, 2024
概括
本研究介绍了一种蒙特卡洛方法,用于在运输模式下进行光学断层扫描图像重建. 该方法同时准确地重建吸收和散射参数,推进光传输建模.
科学领域:
- 生物医学光学 生物医学光学
- 计算成像技术的成像
- 医学物理 医学物理
背景情况:
- 光学断层扫描图像重建通常依赖于扩散近似,在传输模式下无效.
- 使用辐射转移方程精确建模光传输对于这种制度至关重要.
- 现有的方法可能难以同时绝对成像吸收和散射.
研究的目的:
- 开发和评估一种蒙特卡洛方法,用于运输模式内的光学断层扫描中绝对吸收和散射成像.
- 将图像重建构成一个可用随机高斯-牛顿方法解决的最小化问题.
- 通过数值模拟来评估拟议方法的准确性和可行性.
主要方法:
- 利用蒙特卡洛方法来模拟由辐射转移方程控制的光传输.
- 构建图像重建作为最小化问题,通过随机高斯-牛顿方法解决.
- 在构建散射的雅可比矩阵时使用了蒙特卡洛的扰动近似.
主要成果:
- 证明蒙特卡洛方法可以有效地应用于光学断层扫描中的绝对成像.
- 显示了吸收和散射参数的同时估计,准确度很高.
- 通过使用适应性和固定数量的光子包的数值模拟来验证方法.
结论:
- 提出的基于蒙特卡洛的方法允许在光学断层扫描的传输模式中准确地对吸收和散射进行绝对成像.
- 这种方法为复杂的光传输场景提供了可靠的解决方案,其中扩散近似失败.
- 同时估计能力提高了光学断层扫描的诊断潜力.
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