光声成像中单散射模型的重建公式及其在断层成像中的应用
Reconstruction Formulas for a Single Scattering Model in Photoacoustic Imaging and Applications to Sectional Imaging
摘要：
光在组织中的传播模型以及光声反演后的吸收和散射系数的恢复一直是重要的数学研究课题。通常，考虑的基本光传播模型存在辐射传热模型的扩散极限。这些方程非常适合于弹性散射是主要效应的模型。然而，如果散射不太明显，则单个散射近似模型是可行的。正如我们在本文中所示，这种方法实际上是相关的聚焦/截面光声成像。本文研究了单次散射情况下的解析重建公式。为了实现单次散射的方法，我们提出了具体的物理实验的基础上，光声截面成像。
英文摘要：
There has been devoted significant mathematical research to model the light propagation in tissue and to recover the absorption and scattering coefficients after photoacoustic inversion. Typically, the basic light propagation models considered there are the diffusion limits of the radiative heat transfer model. These equations are well suited for models where the elastic scattering is the dominant effect. If, however, the scattering is less pronounced, a single scattering approximation model is practicable. As we show in this paper, this approach is practically relevant in focused/sectional photoacoustic imaging. In this paper, we study analytical reconstruction formulas for the single scattering case. To realise the single scattering approach, we propose concrete physical experiments based on photoacoustical sectional imaging.
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