Nonreciprocal broken ray transforms with applications to fluorescence imaging
Nonreciprocal broken ray transforms with applications to fluorescence imaging
复制标题
不可逆破碎射线变换及其在荧光成像中的应用
DOI：
10.1088/1361-6420/aacec7
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发表时间：
2018
期刊：
影响因子：
2.1
通讯作者：
J. Schotland
中科院分区：
文献类型：
--
作者：
L. Florescu;Vadim A. Markel;J. Schotland
破碎射线变换（brt）通常被认为是互反的，这意味着该变换与光子沿着给定的破碎射线行进的方向无关。然而，如果光子可以在射线的顶点改变它的能量（或者以不同的频率被吸收和重新辐射），那么互易性就会丧失。在光学中，非互反brt适用于荧光造影剂的成像问题。在x射线成像的情况下，单康普顿散射的问题也会产生非互反的brt。在本文中，我们重点研究了层析光学荧光成像，并表明，通过反转光子的路径和利用数据函数的非互反，我们可以同时和独立地重建介质的所有光学性质（激发处的固有衰减系数和荧光频率以及造影剂的浓度）。我们的结果也适用于由于单一康普顿散射而产生的逆brt。
Broken ray transforms (BRTs) are typically considered to be reciprocal, meaning that the transform is independent of the direction in which a photon travels along a given broken ray. However, if the photon can change its energy (or be absorbed and re-radiated at a different frequency) at the vertex of the ray, then reciprocity is lost. In optics, non-reciprocal BRTs are applicable to imaging problems with fluorescent contrast agents. In the case of x-ray imaging, problems with single Compton scattering also give rise to non-reciprocal BRTs. In this paper, we focus on tomographic optical fluorescence imaging and show that, by reversing the path of a photon and using the non-reciprocity of the data function, we can reconstruct simultaneously and independently all optical properties of the medium (the intrinsic attenuation coefficients at the excitation and the fluorescence frequency and the concentration of the contrast agent). Our results are also applicable to inverting BRTs that arise due to single Compton scattering.
单散射光学断层扫描：同时重建散射和吸收。
DOI：
10.1103/physreve.81.016602
发表时间：
2010
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Florescu,Lucia;Markel,VadimA;Schotland,JohnC
通讯作者：
Schotland,JohnC
影响因子：
19.7
作者：
McCollough CH;Leng S;Yu L;Fletcher JG
通讯作者：
Fletcher JG