Direct calculation with a finite-element method of the Laplace transform of the distribution of photon time of flight in tissue.
Direct calculation with a finite-element method of the Laplace transform of the distribution of photon time of flight in tissue.
复制标题
用拉普拉斯变换的有限元方法直接计算组织中光子飞行时间的分布。
作者：
M. Schweiger;S. Arridge
光学断层成像的重建方法需要开发高散射材料中的光传输模型。虽然短源光脉冲产生的全时间响应函数的模拟在计算上是昂贵的，但有一些方法可以有效地评估时间轮廓的某些变换。我们之前提出了直接获得梅林变换的方法，梅林变换与时间强度分布的矩有关；我们引入类似的方法来直接计算拉普拉斯变换。该方法提供了一种附加的、很大程度上独立的测量类型，可以与矩相结合以提高光学断层扫描中的图像质量，特别是在吸收和散射分布的同时重建方面。
Reconstruction methods for optical tomographic imaging require the development of models of light transport in highly scattering materials. While the simulation of the full temporal response function arising from a short source light pulse is computationally expensive, there are methods to evaluate efficiently certain transforms of the temporal profile. We previously presented methods to obtain directly the Mellin Transform, which is related to the moments of the temporal intensity distribution; We introduce a similar method to calculate directly the Laplace transform. This method provides an addtional, largely independent measurement type that can be combined with the moments to improve image quality in optical tomography, in particular with respect to the simultaneous reconstruction of absorption and scattering distribution.