Single-scattering optical tomography.
Single-scattering optical tomography.
复制标题
单散射光学断层扫描。
DOI：
10.1103/physreve.79.036607
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Markel,VadimA
中科院分区：
文献类型：
--
作者：
Florescu,Lucia;Schotland,JohnC;Markel,VadimA
我们考虑的问题，光学层析成像在介观制度的光子的平均自由程的顺序系统的大小。它示出，可以设计一种层析成像技术，它是基于单散射的假设，并利用我们称为破碎射线变换的Radon变换的泛化。该技术可用于恢复消光系数的非均匀介质从角度分辨的测量，并与数值模拟说明。这些模拟的正演数据是通过数值求解辐射输运方程而获得的，没有任何近似。被认为是在不同宽度的板坯层析成像，它表明，该技术可以容忍的最大宽度，对应于大约6个散射事件。它还表明，使用破碎的射线不会导致额外的不适定性的反问题相比，反Radon变换的经典问题。生物医学成像的应用进行了说明。
We consider the problem of optical tomographic imaging in the mesoscopic regime where the photon mean-free path is on the order of the system size. It is shown that a tomographic imaging technique can be devised which is based on the assumption of single scattering and utilizes a generalization of the Radon transform which we refer to as the broken-ray transform. The technique can be used to recover the extinction coefficient of an inhomogeneous medium from angularly resolved measurements and is illustrated with numerical simulations. The forward data for these simulations were obtained by numerically solving the radiative transport equation without any approximations. Tomographic imaging in slabs of different widths was considered and it was shown that the technique can tolerate a maximum width that corresponds to approximately six scattering events. It is also shown that the use of broken rays does not result in additional ill posedness of the inverse problem in comparison to the classical problem of inverting the Radon transform. Applications to biomedical imaging are described.