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首页> 外文会议>Conference on Biomedical Applications in Molecular, Structural, and Functional Imaging >A radiative transfer equation-based image-reconstruction method incorporating boundary conditions for diffuse optical imaging
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A radiative transfer equation-based image-reconstruction method incorporating boundary conditions for diffuse optical imaging

机译：基于辐射传输式的图像重建方法，其利用用于漫射光学成像的边界条件

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Developing reconstruction methods for diffuse optical imaging requires accurate modeling of photon propagation, including boundary conditions arising due to refractive index mismatch as photons propagate from the tissue to air. For this purpose, we developed an analytical Neumann-series radiative transport equation (RTE)-based approach. Each Neumann series term models different scattering, absorption, and boundary-reflection events. The reflection is modeled using the Fresnel equation. We use this approach to design a gradient-descent-based analytical reconstruction algorithm for a three-dimensional (3D) setup of a diffuse optical imaging (DOI) system. The algorithm was implemented for a three-dimensional DOI system consisting of a laser source, cuboidal scattering medium (refractive index > 1), and a pixelated detector at one cuboid face. In simulation experiments, the refractive index of the scattering medium was varied to test the robustness of the reconstruction algorithm over a wide range of refractive index mismatches. The experiments were repeated over multiple noise realizations. Results showed that by using the proposed algorithm, the photon propagation was modeled more accurately. These results demonstrated the importance of modeling boundary conditions in the photon-propagation model.
机译：开发漫射光学成像的重建方法需要精确的光子传播建模，包括由于折射率错配而产生的边界条件，因为光子从组织传播到空气。为此目的，我们开发了一个分析的Neumann系列辐射传输方程（基于RTE）的方法。每个Neumann系列术语术语模型不同的散射，吸收和边界反射事件。使用菲涅耳方程建模反射。我们使用这种方法来设计一种基于梯度 - 下降的基于梯度 - 下降的分析重建算法，用于漫射光学成像（DOI）系统的三维（3D）设置。该算法用于三维DOI系统，其由激光源，立方体散射介质（折射率> 1）和一个长方体面上的像素化​​检测器组成。在仿真实验中，散射介质的折射率变化以测试在各种折射率不匹配上的重建算法的鲁棒性。在多个噪声实现上重复实验。结果表明，通过使用所提出的算法，光子传播更准确地建模。这些结果表明了模拟光子 - 传播模型中边界条件的重要性。

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